diff --git "a/data/dm_maths/full_data/10587_11255.jsonl" "b/data/dm_maths/full_data/10587_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10587_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 40133 (base 7) to base 16\nAnswer: 25cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 3481. Let l(x) = -11*x**2. Calculate l(g(p)).\nAnswer: -11*p**2 + 76582*p - 133290971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*p - 2, 2 = -3*p - 7. Solve -t*l + 10*l = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**5 + 19*b**3 + 179*b - 2?\nAnswer: -40*b**3 + 114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48041634?\nAnswer: 2, 3, 8006939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 10:15 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/7 and -3\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*t + 70432 = -1746*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 5)*(-k + 2*k + 1 - 3*k) + 0 + 0 - 4*k to h*k + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8421 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 3 (b) -46 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(198) + sqrt(22) - (sqrt(22) + sqrt(88)\/(4*sqrt(4))))\/((sqrt(288) + (sqrt(288) - (sqrt(288) + (sqrt(288) - -2*sqrt(288))*4 - sqrt(288))))*1).\nAnswer: -23*sqrt(11)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -10451?\nAnswer: -10444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/2480 and -163\/5208.\nAnswer: 52080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aba2634 + -6?\nAnswer: aba262b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124856401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 2. Let a be w(2). What is the lowest common multiple of -2 - (a + 2 + -12) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2. Let d = 6 - 3. Let q = d - 1. Let x(c) = q*c + 2 - 2. Give p(x(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1852815\/229741 - -893922607633\/99480150410. Let r = w + -1\/11395. What is the common denominator of (-6)\/(-10) - (-19)\/(-4) and r?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymm when three letters picked without replacement from {m: 8, p: 1, l: 1, k: 4, y: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*u + 8*t + 27, 24 = 5*u - 4*t. Which is the closest to u? (a) 2\/3 (b) -18 (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 + 2.08. Suppose -2*s = 3*s - 25. Let n = s - 3. Is n smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2368273, -4736544, -7104815?\n\"Answer: -2368271*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -468 - -392. Suppose 3*z + 5*z - 624 = 0. Let a = z + c. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 112, 190, 282?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.816 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 610, 623, 650, 697, 770, 875, 1018, 1205?\n\"Answer: m**3 + m**2 + 3*m + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97361749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3749386 * 0.9\nAnswer: -0.33744474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0088352 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + h + 5*h**3 + h + (3*h + h + 0*h + (-2 - 3 + 4)*(-h + 3*h - 4*h) + 4*h - 4*h - h + 162 - 162 + 52*h)*(2*h**2 + 3*h**2 - 3*h**2).\nAnswer: 116*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(2*z**2 - 1 + 1 + (4*z - 3*z - 2*z)*(-1058 + 37*z + 1058)).\nAnswer: -70*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j - 2. Suppose -2*o - 10 = -z - 0*o, 5*o - 20 = -2*z. Let p be 2\/(1 - 2)*(-3 + 2). Suppose -4*r + z = -p. Determine u(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 535*i**3 + i**2 - 2*i + 1. Is j(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -7\/4*t**3 + 3\/40*t**5 + 0*t**4 - 9\/2*t**2 + 33*t + 0. Factor r(v).\nAnswer: 3*(v - 3)*(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*c**2*r + 102*c**2 + 2*c*r wrt r?\nAnswer: 32*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -29*f - 16. Let n = 44 - 44. Suppose n = -6*h + 8*h - 44. Calculate the remainder when x(-5) is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 448 - 309. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2497*b - 3307 = 2788*b + 5687 - 2301 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11641 - 3?\nAnswer: 1163a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 10*b - 8. Let t be (-11)\/11 + 3*3. What are the prime factors of j(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 5*g**8\/336 + g**7 + 147*g**6\/8 + 110*g**2. Solve a(k) = 0 for k.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-81))\/((-945)\/20925*15\/18)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, c: 2}. What is prob of sequence cw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -299, -329, -379, -455, -563?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + 249. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.414164 rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 3, j: 1, u: 4}. What is prob of picking 2 y?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e (base 15) in base 8?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160953619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(176) + sqrt(176)*1)*5 + (sqrt(165)\/(sqrt(18)\/sqrt(6)))\/sqrt(5) + 1)**2.\nAnswer: 82*sqrt(11) + 18492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 1756?\nAnswer: -1931.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(1900))*-2 - -1*5*sqrt(1900))**2*1.\nAnswer: 102600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 623*u**2 - 1294*u + 5. Let f(a) = 628*a**2 - 1292*a + 6. Let g(r) = 5*f(r) - 6*t(r). Find the second derivative of g(s) wrt s.\nAnswer: -1196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3085033994212 plus -2?\nAnswer: 3085033994210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - m - 112 = 0. Let h be -271*3524 + (-54 - 10)\/m. What is h rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53396 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 85 = 3*m, -4*j = 6 - 14. Let u = -28 + m. Suppose -u*c + 17 = -4. Calculate the greatest common divisor of c and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -530579*d**3*h*t + 5507*d**3*h - 38*d**3 - 20*d**2*h*t - 2*d**2 + 2*h with respect to t.\nAnswer: -530579*d**3*h - 20*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030711?\nAnswer: 11, 93701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a5a7 (base 11) to base 16.\nAnswer: -3577e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, l: 2, m: 2, a: 4, j: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123861 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 12*a + 80. Calculate the highest common factor of a and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-30)\/195*1. Let r = 3 + 2. Let h = r + -3. Which is the second biggest value? (a) h (b) -2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1371 + 42\/(14 + -7). What is the greatest common divisor of 34 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -13 - (4 - (4 + 5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 9*c**2 - 8*c + 71. Let b be n(9). What is the smallest common multiple of 4 and (-1 + b)*69\/(-46)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194774 times -11\nAnswer: -2142514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.756\nAnswer: -1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 988\/(-24206)*(2*-10 - 1)*12236\/(-138)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*0.0045415.\nAnswer: -0.0862885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 14. What is the biggest value in -4\/9, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -3*d - 3*r + 105, 3*d + 2*r - 13 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -457 and -2.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/19 - 11832*h\/19 - 82922\/19 = 0. What is h?\nAnswer: -7, 5923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*p**4 - 29*p**3 - 41*p**2 - 6*p + 1571534 with respect to p.\nAnswer: 32*p**3 - 87*p**2 - 82*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6480889 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 - 4*s + 1. Let f be (-3)\/2*4\/(-6). Suppose 2*l + 2 - 10 = 0, -2*o + 10 = l. Let d be f - -2*(4 - o). Give i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -352, -337, -334, -349, -388, -457, -562, -709?\n\"Answer: -b**3 + 22*b - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x = -12. Suppose -2*k + 4*k = -4*n - 2, -3*k + 27 = -x*n. Is 59\/2 - n\/(-6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 16*i = -55. Suppose -3*a = -4*a + 30. Calculate the remainder when a is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:49 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 10\/129, 5\/13, 4, 5?\nAnswer: 10\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 - -196. Solve -v*f - 1 - 15 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01463306 rounded to 4 decimal places?\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r**2 + 2. Let l = -762790 - -762713. Let q = -2 - -4. Let o(a) = 418*a**2 + 77. What is l*g(j) + q*o(j)?\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 + 3736*u**2 + 44796*u - 11381. Determine z(759).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let o be ((-20)\/v)\/(4\/(-6)). Does 6 divide 306\/30 + (-2)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 120929, 120826, 120551, 120020, 119149, 117854?\n\"Answer: -14*f**3 - 2*f**2 + f + 120944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 0*r - 20. Suppose -2*i - 2 = r*g, -g = 3*i - 5 - 2. Suppose 7*s - 4*s = -u + 33, i*u - 55 = 2*s. Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 1, s: 1}. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.261521 rounded to two decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 1 + 1 + (1 + 0 - 2)*(3*q + 0*q + 0*q))*(-3*q + 0*q + q) + 2*q**2 + 3*q - 3*q - 2*q + 2*q + 3*q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, n: 4, c: 6, k: 2, v: 1}. Give prob of picking 1 n and 3 i.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/36 + 7*l**3\/9 + 13*l**2\/6 + 992*l. Find f such that j(f) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96230 and 28869?\nAnswer: 288690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25388 + 1.07.\nAnswer: 25389.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1159 and 2562.\nAnswer: 48678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let t(a) = 31241*a. Determine t(z(s)).\nAnswer: -31241*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let h be d(-12). Let p be (-2)\/h*16\/(-2). Find q such that p*q**2 - 2\/3*q + 0 + 0*q**3 + 2\/3*q**5 - 4\/3*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -507 - -8095\/16. Find the common denominator of (2 - 111\/54)*5130\/(-36) and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c0104 + -28?\nAnswer: c00dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -414900 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004425968 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 19*p + 3479. Calculate h(-184).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15218.\nAnswer: 2, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (7 + -14 + -133)) + 3 + 15.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diid when four letters picked without replacement from {d: 3, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w - 45*w - 5557*w**2 - 16442*w**2.\nAnswer: -21999*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -1, s - t + 3*t = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -96283 times -5.9\nAnswer: 568069.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsbrgrgrrsrrrrruss. What is prob of picking 1 s and 1 g?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31 * 11113762\nAnswer: 344526622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 2 - (12 + -3 - (14 + -1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (324\/(-12))\/(6\/8*132\/99)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0.18, -4\/5, -0.2 in ascending order.\nAnswer: -5, -4\/5, -0.2, 0.18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1 (b) 15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9.67, -4\/9, -0.1, -2\/15, -5?\nAnswer: -9.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**3 + 6*h**4 + 5*h**3 + (2*h**2 + 3*h**2 - 3*h**2 + 32*h - 2*h**2 - 32*h + (-2*h + 2*h + 2*h**2)*(1 + 2 - 1))*(-h**2 + 0*h**2 + 3*h**2).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:23 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*g - 0. Let p(s) = s**3 - 4*s**2 - 5*s - 2. Let c be p(g). What is the second smallest value in c, -0.1, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 6*(sqrt(91)\/(-1*sqrt(7)) - sqrt(13)) + ((sqrt(52) + 5 - sqrt(13)) + -3)**2).\nAnswer: -45 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58968822.\nAnswer: 2, 3, 11, 61, 97, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2)*i)\/i**(-1\/6)*(i*i**3\/i*i)\/(i**(-2)\/i))**10)**43 assuming i is positive.\nAnswer: i**(7955\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 950224 to the power of 1\/2, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + 5 + 1*sqrt(175) + 2*sqrt(175)*1 + sqrt(175) + (sqrt(175) - (-1*sqrt(175) + 1)) + 1)**2.\nAnswer: 720*sqrt(7) + 18948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3100?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 116*m - 125*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/5 + 86*d + 1272\/5 = 0. Calculate d.\nAnswer: -212, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1673947\/210 - -55840\/7. Calculate the common denominator of 35\/33 and k.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let j(z) = 32*z**2 - 9*z. Let r(d) = -30*d**2 + 8*d. Let w(n) = -5*j(n) - 6*r(n). Give l(w(a)).\nAnswer: 40*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - x - 25. Let y = -69 - -58. Sort y, x, 3, -2.\nAnswer: y, -2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*b - 7, -5 + 6 = -b + 3*k. Suppose 98*c**b + 4*c**3 - 54*c**2 - 3*c**3 - 52*c**2 = 0. Calculate c.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-20 - -12 - (0 + -13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.7. Let k = 0.7 + 4.3. Put k, w, -2 in decreasing order.\nAnswer: k, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/79 + 164\/237. Let s be (-8)\/42*(-6 - 471). Let m = s - 91. Sort -5, m, h.\nAnswer: -5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 20*l**3 + 4*l**3 + 7*l**3.\nAnswer: 37*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 3*d + 10*d + (0 - 1 - 2)*(d + 2 - 2) - 287*d + 15442 - 15442 to o*d + z and give o.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a - 5. Suppose z = s - 11, -4*s + 2*z - 11 = -5*s. Sort a, s, -3 in descending order.\nAnswer: s, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*35\/147*(-1)\/(4\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by -55.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**2 + 10. Let z(l) = -30*l**2 - 45. Let t(o) = 9*g(o) + 2*z(o). Let i(h) = 2642*h**2. Calculate i(t(a)).\nAnswer: 23778*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 3*q**2\/2 - 1. Let n(r) = 7*r**2 + 3*r. Let o(p) = 30*p**2 + 13*p. Let l(y) = 26*n(y) - 6*o(y). Determine l(g(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 less than -307171.71?\nAnswer: -307205.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 - 144. Solve -5*q + z*q = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*g**5 + 80867*g**2 - 3595678*g.\nAnswer: 280*g**3 + 161734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvsvxssxv. Give prob of sequence xs.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4077 + -3989. Calculate the remainder when d is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -10 + 0)*((-12)\/(-72)*102 - -107)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -23, -46, -77, -116?\n\"Answer: -4*c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -17*q**2 + 43*q + 1. Let n(r) = 48*r**2 - 128*r - 2. Let m(f) = 6*n(f) + 17*t(f). Is m(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 17, 2 in descending order.\nAnswer: 65, 17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 486288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhvvhhvivvviv. Give prob of picking 3 h and 1 i.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 2*m**3 - 4 - 9 + 5*m + 12 + 5*m**3 to the form q + z*m**3 + t*m**2 + j*m and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12449499649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12800, 3, -4, 4 in decreasing order.\nAnswer: 12800, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 4:48 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p - 3408 = -12690. Let a = -352 + p. Solve a*l = 3*d - 16, -d + 0*l = l + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o + 1. Let j(z) = z**2 - z. Let w(u) = -6*j(u) + r(u). Let s(c) = -c**3 - 3*c**2 + 3*c. Let i be s(-4). Suppose 0 - i = -4*g. Determine w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/864 and -61\/486.\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 924832611 to the nearest integer?\nAnswer: 30411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 2:27 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -571, -809, -1047?\n\"Answer: -238*v - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*f = 22, -4*o - f + 32 = -3*f. Let c be 4\/o - (-8)\/(-3). Let j be c*((-3 - -2) + 3). Are -4 and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**6\/30 - 9*p**5\/20 + 5*p**4\/4 - 7*p**3\/6 - 95*p. Factor g(h).\nAnswer: h*(h - 7)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14430 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/35)\/((-9)\/(-630)*-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -13081.\nAnswer: -1\/13081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 + 22*c**3 - 258*c**2 + 258*c**2 + 0*c**3.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275666732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:21 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(0*z + 2*z**4 + 0*z) - 2*z**4 + 0*z**4 - 2*z**4 + 0*z**4 + 6*z**4 + 4*z**4 - z**4 - 2*z**4 + z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 + 10\/1. Let m(j) = j**3 - 10*j**2 + j - 7. Let k be m(r). Suppose 5 - 29 = -k*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 52562335*r + 105124650.\nAnswer: 5*(r + 2)*(r + 10512465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 97*y**3 + 2374*y**2 + 4368*y.\nAnswer: y*(y + 2)*(y + 39)*(y + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 12) to base 3.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/((1\/(-1))\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 2:16 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/7 + 1370427*l\/7 - 4111272\/7.\nAnswer: -(l - 1370424)*(l - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 425025930 to the power of 1\/2, to the nearest integer?\nAnswer: 20616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2 - -3) + -6. Let q be (c - -1)\/(-3 - -5). Solve 2 = n, q = j + 3*n - 6 - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1734 and 53074?\nAnswer: 2706774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4023, 4006, 3983, 3954, 3919, 3878?\nAnswer: 3831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3463, -27763, -93725, -222181, -433963, -749903, -1190833, -1777585?\nAnswer: -2530991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 178*k**2 + 176*k**2 + 5*k**3 + 0*k**3 to d*k**2 + u*k**3 + z*k + b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911 a factor of 365291113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 45*h + 3. Let b(i) = -23*i - 2. Let f(r) = 5*b(r) + 2*g(r). Let s be f(3). Calculate the remainder when 57 is divided by 8\/32 - s\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:15 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y**2 + 3*y - 9. Let r(l) = -6*l**2 + l - 4. Let j(o) = 4*c(o) - 9*r(o). Let a be 1 - (12 + -1) - -11. Let s(b) = b**2 + b. Give a*j(t) - 3*s(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 628253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.223*-0.50156.\nAnswer: -0.11184788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 167\/(-35))*(9 + (-1323)\/162)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -672008924*m**2 - 10*m + 20043813?\nAnswer: -1344017848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12939 + 12972.047. Let h = d + -0.047. Let m = -3\/199 - 383\/995. Are m and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1105594 by 2.\nAnswer: -552797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33583631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5.55134466 - -10\nAnswer: 15.55134466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*q - 19980 - 11898 = -411*q - 166*q for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2\/9, 11, 13, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6 and 356\/(-6)*((-36)\/14656)\/((-63)\/(-84))?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 140690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aca1 - 0?\nAnswer: -aca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*(-36)\/1296)\/((-14)\/24)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 5*x - 20. List the prime factors of d(6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 539.1 + -596. Let n = -6470 - -6527. Let c = d + n. What is the nearest to c in -6\/11, 4, 3\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.470049 (b) -2\/9 (c) -0.1 (d) 117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (1 + 0 + sqrt(1900))) + 2 + sqrt(1900) + -2 + sqrt(1900))**2.\nAnswer: -40*sqrt(19) + 7601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000135755 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -57. Let h be (4\/6)\/((-12)\/(-180)). Suppose h*w = w + 549. What is the remainder when w is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*m + 263 = 0, -4*a + 21 = m - 195. Calculate the highest common factor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -6460?\nAnswer: 6453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-55))\/(950\/(-4180))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 12:27 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p. Let u be f(11). Suppose -38*m = -35*m - u. What is the first derivative of 51*w**2 + m + 7*w**3 - 51*w**2 wrt w?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3800873789?\nAnswer: 3800873789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.04, 17, 3\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*o = 663*o - 720 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 712 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41304552 (base 7) to base 16\nAnswer: -34dad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 1 + 31)*1\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -71. Suppose -5*w - 21 = 7*f - 5*f, w = -3*f + d. Suppose 0 = 4*n + 4*k - 64, 4*n - 3*k + 5*k - 56 = 0. Solve n = r + f*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 381*l**5\/5 + 5*l**3\/3 + 61. Find the third derivative of t(b) wrt b.\nAnswer: 9144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/12 - c**3\/2 - 17*c. Let j be g(-3). Suppose 27 = 3*s - j. Calculate the remainder when 26 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, l: 2}. What is prob of picking 1 l and 3 j?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m + 0*m)*(m**3 - 4*m**3 + 4*m**3) + ((-86 + 365 + 33)*(0*m - m + 3*m) + 5*m - 4*m - 2*m)*(1 + m**3 - 1).\nAnswer: 624*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u. Suppose u = 2*q - 16 - 8. Calculate the highest common divisor of q and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c - 100 = 0. Suppose -127*x = -117*x. Suppose x = -5*h + c + 10. What is the greatest common factor of 48 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**7\/588 - r**6\/180 - r**5\/210 + r**3\/3 - 2*r. Let u(y) be the second derivative of w(y). Find a such that u(a) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 13, 3, -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.072281*3\nAnswer: 0.216843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**2 + 2*a - 4. Let j be u(2). Let k = 58 + j. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(2*p + 3*p - 6*p)*(5489*p**3 - 5489*p**3 - 112*p**4).\nAnswer: -336*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 3*j**2 - 9*j - 12. Determine c(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304 - 2603321*x + 304.\nAnswer: -2603321*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**2 - 5*w + 2. Let c(q) = 11*q**2 - 6*q + 3. Calculate 2*c(t) - 3*s(t).\nAnswer: -11*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 530335801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - r - 2*r - 3*r + 0 + 0 + (-6 + 0 + 3)*(r + 0*r + 2*r) - 2*r - 2*r + 3*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 1.3. Let x = j + -0.8. Let p = -24 + 38. Sort -4, p, x in ascending order.\nAnswer: -4, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.18 (c) 1.8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-34))\/(3\/(-6)). Which is the second smallest value? (a) p (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 25*h - 45. Let i be l(-23). List the prime factors of (-9)\/21 + i + 54210\/70.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19175 - -19176. Let i be (3 - 0)\/(9\/(-2)). Which is the nearest to i? (a) -4 (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129867 - -21817739\/168. Find the common denominator of w and 83\/420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3 + 64*k - 9*k**2 - 5 - 28*k - 38*k. Let j(v) = 16*v**2 + 2*v + 2. Let r(c) = -14*c**2 - c - 1. Let i(l) = 6*j(l) + 5*r(l). What is 2*i(t) + 7*q(t)?\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2225.06 + -2487. Let k = d + 256. Let m = -0.06 + k. Is m bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-50))\/(((-147)\/1645)\/(-7)) and -53\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251682355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 90 (b) -0.7 (c) 2\/9 (d) -264\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n*n\/(n**4\/n*n)*n*n)\/n)\/n**(-3\/4))\/(n*n*n**10*n*n**(2\/67)\/n))**(-11\/7) assuming n is positive.\nAnswer: n**(30305\/1876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-27)\/33) + -1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**3 + 612*b**2 + 5216*b + 4608 = 0.\nAnswer: -144, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 8 - 1)*(2679*z + 2 + 2915*z + 5878*z - 6867*z + 1) as o + m*z and give m.\nAnswer: 18420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/47552 and 11\/118880.\nAnswer: 237760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/28 of a week?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*366\/(-20))\/((-11)\/22*-3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 5*o**4\/4 - 35*o**3\/3 - 5*o**2\/2 + 35*o + 137. Factor q(u).\nAnswer: 5*(u - 7)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -36 (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = 4. Let d be (-94)\/(-18) - m\/(-9). Let s = -2 + 5. Put d, -2, s in decreasing order.\nAnswer: d, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -28. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(-1)*((-18)\/(-9))\/(81\/324).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 2, -3058, 2.4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 j, and 1 n when three letters picked without replacement from znjmnvnmlmmm?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*b + 98, 5*l = 667*b - 664*b - 117 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = c + 2, 5*c = 3*l + 38. Let a(d) = d**2 + 6*d + 2. Let o be a(l). Let f(n) = -148*n + 148*n + 2*n**o. Let y(q) = 2*q**2. Determine y(f(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 3*w**2 + w. Let g be h(-2). Suppose 3*s + g = 9*s. What is the remainder when (-2)\/10 + (-32)\/(-10) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*l, -3*x - 2*l = -2*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v + 0*v + 2*v**5 + 0*v**5 + 10*v**5 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**4 - w**2 + w. Let z(o) = -10*o**5 + 65*o**4 - 55*o**3 - 20*o**2 + 40*o. Let s(b) = -20*k(b) + z(b). Determine l so that s(l) = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from iiiiiqiiiiiiiiiiinii.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132638144 is divided by 66552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 0*d**2 + 4*d**2 - 3*d**2. Let n(v) be the second derivative of v**3 - 31*v - 2. What is n(u(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 28*y**2 + 25*y + 23. Is 11 a factor of v(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 592 and 64?\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 50*d - 49*d + 17 = 0, 0 = 3*d + 3. Suppose 2*t - 2 + 0 = 0. Solve z + 2 = 4*l + t, y*l + 2*z - 10 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4229409257?\nAnswer: 23, 47, 3912497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3 + 15\/4). Let k be 42\/(2 + z)*1. Is k\/(-14) + 467\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40593 - 11?\nAnswer: -40604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 46. Suppose 2*y - 2*m - 12 = v, 0 = -7*y + 4*y + m + 24. What is the remainder when y is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1446, -1436, -1404, -1338, -1226, -1056, -816, -494?\n\"Answer: 2*p**3 - p**2 - p - 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1443 - 50511?\nAnswer: -46035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173728907.\nAnswer: 11, 1033, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*b - 74, 4*b = -2*n + 27 + 7. Solve 5*a = s + 22, 26*s - a = 22*s - b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124982 = -10086*t - 488078 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 + 8*d**2\/5 - 2*d\/5 - 8\/5.\nAnswer: 2*(d - 1)*(d + 1)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*-1*sqrt(180) + (6*(sqrt(180) + 1) - sqrt(180)) + sqrt(180)) + -3)**2 + 3.\nAnswer: 216*sqrt(5) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 8:24 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 768 - 1735 + 3*a**3 + 813 in the form u + q*a**2 + v*a + j*a**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2)\/(-6)) + (-161)\/(-105)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*c = -30, -4*u + 4*c = u - 37. What is the nearest to u in 2, 1, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (66966790\/(-770))\/(((-2)\/7)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x**3 + 9*x**2 - 9*x + 9. Let o(r) = -3*r**3 - 270 + 2*r**2 - 2*r + 135 + 137. What is 2*i(b) - 9*o(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 4 (c) 74 (d) -0.3 (e) 5 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 u when three letters picked without replacement from {u: 8, c: 1, e: 2, m: 5, a: 1, y: 3}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 722 + 283. Let u = -324 + k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 1. Suppose 0 = 2*t + 3*u - 5, 3*u - 3 = 6. Let o(a) be the second derivative of -a**3\/3 + a**2\/2 - 78*a. Determine t*n(f) - o(f).\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**3 + 2*q**2 - q - 2. Let p = 18 + -19. Let b be l(p). What is the closest to 0 in 2, b, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23738880*u + 93890161*u + 64773711*u.\nAnswer: 134924992*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.3 - -1.3. Let l = h - -41. Is 1 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4062600 + 4062599.89999866. Let u = j + 0.1. Round u to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + d + 69 = 0, 0 = j + 3*d - 9 - 5. Find the common denominator of -149\/138 and (-534)\/(-4)*(1 + j\/(-18)).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 40*j - 35*j + 4.\nAnswer: -75*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -15 - -22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 486611586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + p - 895 = 415, 5*s = 5*p + 2190. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 - 1580*p**3 + 214*p - 5?\nAnswer: 40*p**3 - 9480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c**2 + 7*c + 8. Let y = 13 + 2. Calculate the remainder when j(-3) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 5) in base 13?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (110\/15)\/(2\/3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5 + 1156*r**4 - 8300*r**3 - 3332*r**2 + 65320*r + 59200 = 0.\nAnswer: -296, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 375\/752 - -1\/752. Let f(j) be the second derivative of 18\/5*j**2 - 23\/5*j**3 - d*j**5 + 10*j + 0 + 8\/3*j**4. Factor f(w).\nAnswer: -2*(w - 2)*(5*w - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 - 2. Let k be l(2). Suppose 4*r = 14*r + k. Let z(x) = -8*x**2 + 1. Determine z(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-20))\/((-3)\/30). Solve u*w - 3 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -375*u. Let y(a) = -30*a. What is y(f(n))?\nAnswer: 11250*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33027729 rounded to three dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and -0.66477.\nAnswer: 23.93172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-744910)\/(-38) + 31\/(4123\/14))*1.\nAnswer: 19603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 - (-77)\/5. What is the third derivative of 25*g**3 - 8*g**3 + 4*g**2 - y*g**2 wrt g?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1701) - -2*sqrt(1701))\/((-1*sqrt(12))\/sqrt(4)))**2 - (1*sqrt(7)*4 + sqrt(3087))) + -5.\nAnswer: -25*sqrt(7) + 5098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 229, 361, 493, 625?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-21))\/((-2)\/14). Let y be 1 + (0 - 7\/z). Suppose 16*v - 30 = 42*v + 22. What is the closest to 1 in 2, y, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/9 + 6838*m**3\/3 - 1197766*m**2\/9 - 4214950*m\/3 + 13822100\/9 = 0. What is m?\nAnswer: -10315, -10, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-10)\/((x*x**(-3\/4)*x)\/x**(7\/4))*((x\/((x\/x**(-3\/5))\/x))\/(x*x*x**4))\/(x**(-1\/5))**(-8\/15) assuming x is positive.\nAnswer: x**(719\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5054 and -3.235?\nAnswer: -16349.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. What is the units digit of 1*y + (-7)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -125268 + 31?\nAnswer: -125237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 + 7 + 2*h**2 - 15*h - 2 + 13*h - 13*h**3 + h**4 - 4*h**4 to the form v*h + q*h**2 + a*h**4 + d*h**3 + r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2335b2 (base 12) in base 6?\nAnswer: -20043542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -42 - 6. Suppose y + m*h = -2*y + 96, 0 = 5*y - 2*h - 186. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2839367 is divided by 257?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 2*d + 56 = -88*n + 86*n, 3*n + 3*d = -39 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/895 and -21\/40?\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 461256 by -185.\nAnswer: -461256\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + (2 + (sqrt(176) + 0 - sqrt(176)) + sqrt(176))**2 + ((sqrt(176) - (0 + sqrt(176)*-1)) + -2 + 1 + sqrt(176))**2)*3.\nAnswer: -24*sqrt(11) + 5298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50772, -47186, -43600?\nAnswer: -40014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/1049, 5, -3, -4, -0.4?\nAnswer: -2\/1049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 1)*(g + 3 - 3) + 0*g - g - g - g + g + g + g - 2*g + 2*g)*(-9*g - 5*g - 12*g)*(3 + 1 - 5).\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 + 2*o + 5*o**3 + 32*o**3 - o**2 + 25*o**3 as m*o**2 + s + t*o**3 + d*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2358*b - 68. Calculate the remainder when n(-1) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3*w**2 + i**3*w + 2*i**3 + 11506*i**2*w**2 - 4288*w wrt w?\nAnswer: -6*i**3 + 23012*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6 - -13) + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/31811 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/(-230)*100\/420?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1 + 842*t - 1 - 938*t**2 - 842*t. Let w(z) = -z. What is r(w(k))?\nAnswer: -938*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/914815 and 87\/2528216.\nAnswer: 139051880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21870 and -37.3?\nAnswer: -815751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*((-27)\/6 + 5) + 5. Let u(p) be the third derivative of -6*p**2 + f + 0*p + 1\/8*p**4 + 0*p**3. Let t(j) = 3*j**2. Give u(t(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179\/18 - 85\/9. Let u(a) be the first derivative of -10*a + b*a**2 + 3. What is u(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -233*j - 1359. Let m(g) = 78*g + 449. Let i(b) = -11*m(b) - 4*t(b). Find the first derivative of i(f) wrt f.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30582 - 61179 - m + 30597.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 2*k**5 + 0*k**5 + (1 + 1 - 3)*(-3*k**2 + 2*k**5 + 3*k**2) - 54*k**5 - 5*k**5 - 22*k**5.\nAnswer: -85*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - q - 11 - 20, 4*o + 3*q - 35 = 0. Let j be (-6)\/(-56) - 2\/o. Let t = -185 - -181. What is the closest to -1 in -0.5, j, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*w + 467*w + 15417 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssds when four letters picked without replacement from dssddddsdsdddsdssdd?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 + 470\/50)*10. Solve 2 = n, -3*f = 5*n - m + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-23\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 7430 (c) 2\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + w + 18 + 10*w - 18 + (2 - 2 - 2)*(-13 + 13 - 3*w).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j + 3. Suppose 2*r - n = -2*n + 36, -4*r + j*n + 88 = 0. Suppose -2 = 3*p + c, 5*c + 1 + 9 = p. Solve p*d - r = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.05, 17\/5, -0.3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, l: 2}. What is prob of picking 1 l and 1 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 268.8 - 293.54. Let r = u - 0.76. What is r rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 (base 15) in base 13?\nAnswer: -4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 5. Let t(h) = -h**2. Give s(z) + 3*t(z).\nAnswer: -4*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -3. Sort m, 6, 1 in decreasing order.\nAnswer: 6, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58476 + 126286. What is y rounded to the nearest one thousand?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 2261?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -35*b**3 - 3*b**2 + 2. Let p be z(-2). Suppose -5*n = -p - 80. Suppose 3*t - 4 = s - 26, 5*t = 5*s - n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u - b - 26, -2*b = 5*u + 42. Let h = 11 + -9. Let j(c) = -c + 1. Let i be j(h). Sort -2, i, u.\nAnswer: u, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from ygygyyyggg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.949 + 3.221. Let f = 32 - q. Round f to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14255, -28569, -42883, -57197, -71511, -85825?\n\"Answer: -14314*b + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 102\/(-18) - (-4)\/3. Let l = 21 + -9. Let t be 3\/l + (-60)\/112. Which is the smallest value? (a) t (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.8? (a) -2\/35 (b) -0.5 (c) 2\/235 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, t: 15}. What is prob of sequence fff?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*j - 5247 = -511*j + 1025*j for j.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41698922 * 0.4.\nAnswer: 0.166795688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 142.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 13, m: 3}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -106, -208, -310?\n\"Answer: -102*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/308*(-21)\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3*h**5\/5 + 11*h + 8. What is the derivative of j(r) wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11323\/7 >= 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 86708, 0.1, -0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 4 (c) -588 (d) 1\/11 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -1201, -2105, -3211, -4519, -6029, -7741?\nAnswer: -9655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/178 and 27\/979178.\nAnswer: 979178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 31 - 31 - 3*x**2. Let s(w) = 1 + 156*w - 151*w - 1. Give j(s(y)).\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:28 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 943 = -3*b, -2*b - b - 3*v + 948 = 0. Let z be 3\/6 - b\/10. Let l = z - -146. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -49687*n + 62655309. Give h(1261).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*t = -2*c + 234, 601 = 5*c + 3*t. Suppose -4*n - 2*s + 131 = -c, -s = 4*n - 255. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2*r**5*w**2 + d**2*w - 3*d*r**2*w**2 - 67*r**6 - 22*r**2*w**2 wrt r.\nAnswer: -60*d**2*r**2*w**2 - 8040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3077 (base 16) to base 4.\nAnswer: -3001313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppphfpphhhpphppph. What is prob of sequence pp?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d - 132*d + 46*d + 41*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 0.2. Let w = k - -0.5. Let f = -14 - -10. Which is the nearest to w? (a) 2 (b) f (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62793440.\nAnswer: 2, 5, 37, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 290?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (14 + -1 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 34. What is the smallest common multiple of 14 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6008 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - 3784.1?\nAnswer: -3911.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o**5 - 3*o**5 + 2*o**5)*(24 + 70 + 5).\nAnswer: -1089*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = b - c, -7*b + 2*b + 2*c - 1216 = 0. Let q(x) = 23*x**3 - 4*x**2 + x + 2. Let w be q(2). Let r = w + b. Which is greater: -69 or r?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 1016 - 1016 - 3*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -13\/17 (c) -0.3 (d) 1\/4 (e) -1\/9 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -4, 69, 7, 5 in decreasing order.\nAnswer: 69, 7, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367740 divided by 5.\nAnswer: -73548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/20 - l**4\/4 - 2*l**3 - 94*l. Suppose 32 = 2*x - 5*v, -3*x = -3*v - v - 34. Is 19 a factor of u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7409159mg in grams?\nAnswer: 0.0007409159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + i + 14 = 0, 4*g - 291 = -5*i - 247 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 9*g**2 - 3*g - 14. Let m be -3 - (8\/2 - -2). Let i be h(m). Suppose 4 - 16 = -4*d. Solve 0 = 2*u + d*q + i - 6, -5*q - 25 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101779?\nAnswer: 17, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 606, 876, 1146, 1416, 1686?\nAnswer: 1956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3465\/576 - 9) + 3. Which is smaller: a or 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -520081 in decreasing order.\nAnswer: 3, -4, -520081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85984202 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000123509 rounded to seven dps?\nAnswer: 0.0001235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 9, 44, 79, 114, 149?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-14)\/77 + 1938\/11 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1265, 35, -1\/20?\nAnswer: 1265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26562*m = -26624*m + 207815878. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1444238, -2888483, -4332734, -5776991?\nAnswer: -7221254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:49 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7003 + -0.0047. Let p = 0.705 + w. What is the third biggest value in p, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/52 and 21\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64000, 127998, 191996, 255994?\n\"Answer: 63998*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*c - 13032 = 53*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - b**2 - 2*b**2. Let k(n) = -6*n**2. Give w(k(z)).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3075 - 0.2075. Which is the closest to t? (a) 2 (b) 2\/149 (c) 1\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - h - 11 = 0, 0 = 3*f - 5*h + 773 - 776 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -79 (c) -5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 + -27. Suppose -2 = -o + t. List the prime factors of o.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o - 371. Calculate r(-25).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 4:04 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3191537781 to the nearest integer?\nAnswer: 56494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-220)*88\/(-400)*-5.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n - 412253 = -411428 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4\/9, -0.4, -1, -29418, 3.\nAnswer: -29418, -1, -4\/9, -0.4, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 161675, 646774, 1455305, 2587268, 4042663?\n\"Answer: 161716*a**2 - 49*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -16471471.\nAnswer: 16471467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 12. Let l(k) = k + 4. Let h be l(0). Is 11\/h - t\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = 78. Suppose -2*d = -0*d + 1672. Let w be d\/z + 6\/(-39). Calculate the greatest common factor of w and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/(-7) + 33\/(-77). Let g(z) be the third derivative of -z**4\/12 - z**3\/2 + 24*z**2. Let o(f) = 3*f + 4. Calculate c*o(j) - 5*g(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11326217671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n**2 - 9*n - 8. Is d(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppd when three letters picked without replacement from {g: 1, d: 1, p: 4, s: 2, v: 4, e: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7164459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7542535 (base 8) to base 9.\nAnswer: -3713232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.4331 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 greater than or equal to 481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.1. Let f = 0 + 0.1. Let g = i - f. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, 20, 392750, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-1901*w - 1918*w + 4555*w).\nAnswer: 736*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2 + 4*g - 8. Let c(i) = -8*i**2 - 5*i + 9. Let a(u) = 7*b(u) + 6*c(u). Let x be a(8). List the prime factors of -16 - -17 - x\/(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*f + 374*f**2 - 174*f**2 + 24*f + 26*f - 7 to the form a*f**2 + n*f + i and give a.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 3151*z + 3. Let q(k) = -k - 579. Determine n(q(l)).\nAnswer: l**2 + 4309*l + 2159673","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -718 + 722. Suppose y - 6 = -4. Let a(m) = -m**2 - 2*m - 1. Let h be a(-2). Sort r, h, y.\nAnswer: h, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -154*j - 616. Let c be v(-4). Solve 5*m = -14*f + 10*f + 16, 5*f + 5*m - 15 = c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92440700 rounded to the nearest 1000000?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7668409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 22*s + 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48232674 and 127078?\nAnswer: 4382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(4320) + sqrt(4320)*-1)*-5 - sqrt(4320)) + sqrt(4320)))\/(3*2*sqrt(810)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k - 35*k)*(3*k + 0*k - 5*k)*(3*k - 3*k**2 - 3*k + (3*k - k - 4*k)*(-k + 2*k - 2*k)).\nAnswer: -68*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 88919 (b) 7 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 464*x**3\/3 - 42*x**2 - 8*x + 40. Determine g so that y(g) = 0.\nAnswer: -2\/29, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -46. Suppose 5*f - m - 1 = 0, 5*f - 4*f + 5*m + 5 = 0. Suppose v*b + t - 105 = -f*t, -b = 3*t - 40. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/14107 != -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 113092728 divided by -37697576\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Put n, -5, -3 in ascending order.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -21) + (23 - 7) + -25.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*n + p, -2*n - 112*p = -116*p - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 - (6 + -7)*15564. Suppose -k = -3*o + 19836. What is o rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*(-9)\/45*2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -5*d - h, -4*d - 3*h + 27 = -2*d. Let l = d - 8. Let t = 10 - l. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 47\/4 of a week?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a - 2*a + 488 + 63. Solve 0 = -34*u + a*u - 30 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/10)\/(6\/(-90)). Put -3, f, -4 in ascending order.\nAnswer: -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7\/18, -3\/5, 0.3 in decreasing order.\nAnswer: 1, 7\/18, 0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*a + 10, -u + 5*a + 16 - 8 = 0. Let w be 5\/u*(52 - 2)*-2. Let y = w - -433. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*c**2 - 76*c**2 + 17*c**2 - 24*c**2.\nAnswer: -92*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(11\/55)*((-12801)\/(-476) + -27).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -6\/5*t + 3\/5*t**2 + 3\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 188908933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:49 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 28*b - 27. Calculate the remainder when l(24) is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6343.4969 and -0.1.\nAnswer: -634.34969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*f - 26, -50 = -2*a - 2*a + 2*f. Suppose -3*s + 324 = -3*n, 3*s - a = -s. What is the common denominator of 35\/9 and 30\/n - (-626)\/231?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -33. Let y(o) = 0 + 0 - 9*o + 9 - a. Let k(j) = -4*j + 3. Give -5*k(q) + 2*y(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1936 and -74392?\nAnswer: 76328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/1357 + -2636\/52923. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 18, -42, -158, -348?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:55 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 6*o - 4. What is g(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18617.32l to millilitres.\nAnswer: 18617320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -6 + 14 + 600632)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 3073.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 650661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55085*o**2*w**3 + 108577*o**2*w - 48*o**2 - 5*o*w**3 + 9*o*w**2 + 151*w**3 wrt w?\nAnswer: 330510*o**2 - 30*o + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011001111001110100 (base 2) to base 6.\nAnswer: -124501512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-5 + (4 - 1)). Let h(a) = 4*a**3 + 3*a**2 - 2*a + 5. Is h(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + -0.08. Let b = o + 0. Let y = 0 + b. What is y rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -13*k**6\/120 - k**5\/15 + 55*k**3\/6 + 2*k**2 - 22. What is the derivative of c(s) wrt s?\nAnswer: -39*s**2 - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 12*h + 12*h + 12*h**2)*(-1 + 1 - h).\nAnswer: -12*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 12, -2*k - 18*b = -13*b - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6682 is divided by 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 4*i**2 + 2*i. Let a be v(2). Let c = -356 + 2141\/6. What is the third smallest value in a, 2\/9, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -292, -696, -1262?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -1\/1177, 0, -0.3 in descending order.\nAnswer: 3, 1, 0, -1\/1177, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142899523 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -457 - -2790. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 29*w - 205. Let b be m(14). Put b, -0.2, -15 in increasing order.\nAnswer: -15, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152118 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1093792 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-6) - (-11)\/33. Is ((-12)\/15 + -2)\/(x\/(-625)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1266*k - 1264*k + 91 - 8)*(-6 + 24 + 17 + 1 + 12) as w + t*k and give w.\nAnswer: 3984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/175*56\/120\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -19. Suppose -h*u = -1307 + 5507. Round u to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 30*g + 22. Let y(c) = c**2 - 15*c + 11. Let d(j) = 3*m(j) - 7*y(j). Let r be d(14). Solve r*o + 4 = 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 5*l**2 - 69*l**3.\nAnswer: -69*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25350 - -25353. Sort 0.34, 1\/5, 0, r.\nAnswer: 0, 1\/5, 0.34, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75777401 and -2?\nAnswer: -151554802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -222 + 314. Let d be u*(0 + -3)\/(-6). Let l = d - 46. Solve l*a + 10 = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -568*b + 321. Calculate f(2).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 8 = 0, -5*z - k - 322947 = -323096 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 3. Let f(l) = 3*l + 10. Let o(b) = -f(b) + 2*x(b). Let p(a) = -6*a + 23. Let z(n) = 5*o(n) + p(n). Let w(i) = 4. What is -2*w(y) + 3*z(y)?\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -611*a + 606*a - 55, -5*c + 10*c = 3*a - 4 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -39, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 - 0.12. Let r = 0.2 - 0.1. Let i be 1\/(-2) - 5\/(-14). What is the closest to c in i, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - n**2 - n. What is the units digit of l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 + 8\/3. Suppose 6*i - 3*i - 48 = d*l, -l + 3*i = 24. Let j be (-2)\/(-12) - 2\/l. Which is the closest to j? (a) -5 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 2*p - 1902. Determine j(43).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 c when three letters picked without replacement from gghahshghnhshgc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258902068 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, 415, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - j + 436 = 2*j, -g = 2*j - 114. Let f = g + -73. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1067828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18129847?\nAnswer: 18129847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/10))\/n**(13\/6))**11)**50 assuming n is positive.\nAnswer: n**(-1760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 3\/68*p**4 - 7*p - 1\/170*p**5 + 1\/3060*p**6 + 0 + 0*p**2 - 1\/2*p**3. Let k(g) be the second derivative of t(g). Factor k(y).\nAnswer: 2*(y - 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654730 (base 12) to base 8.\nAnswer: 6076024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 12*d - 29. Let y be g(-5). Let r be ((-8)\/y)\/(18\/135). Is -1 - 115*(128\/r + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9*x + 7*x + 13 = 0, 92 = 4*d - 2*x. Suppose -5*q + 3*k = -d - 209, -138 = -3*q + 5*k. What is the remainder when 273 is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 41, 61, 81?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 8 = -3*n - n, -n - 5 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h - 5*h. Let x(f) be the first derivative of -f**4\/4 + f**3\/3 + f**2\/2 + 485*f + 11. Is x(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1328 - -668. Let g = 660.00649 + i. Round g to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*n - 639 = -1625, 5*x + 5*n = -4830. Round x to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 3:09 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108159884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 322?\nAnswer: 8372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*r - 1. Let d be (r\/(-5))\/((-5)\/(-25)). Let n be (-27)\/21 - (1 - 1). Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/395100 and -143\/54589650?\nAnswer: 327537900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let o(m) = -5*m + 43581. Calculate o(q(f)).\nAnswer: 5*f**2 + 43581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93311\/10 - 9342. Let k = 3\/242 - 3881\/726. Calculate the common denominator of k and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1184, 478, -2078, -6484, -12740, -20846?\nAnswer: -30802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-5 + -2 + 2 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 970173 and 4913?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - v**2 - 3*v + 10. Let l be d(4). Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/757 in 1, -0.07, 2\/7, -2, 2, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 0.1304?\nAnswer: -0.0696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(6 - 6 - 3*n) + 0 + 0 - 2*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9562 a factor of 491612360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 248, 340, 466, 638?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmkggzo. What is prob of picking 1 z and 2 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13924147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/4536 - (148\/48)\/(7\/3)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*w - 0*w + 10, -4 = 4*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200685212 by -1102666.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19008 and 402688.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/21 (c) -1 (d) 1\/5 (e) 0 (f) 1\/4 (g) 698\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 + 1)*(-2 + 3 - 3) + 3 - 3 + 1 + (0 + 2 + 0)*(4 - 5 - 1) - 4 + 6 - 1 + 2 + 0 - 4 + 6 - 2 - 3)*(-2*r - r + 5*r).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 210 - 211. Let f(y) be the first derivative of y**7\/120 - 2*y**3\/3 + 2. Let p(i) be the third derivative of f(i). What is p(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyu when four letters picked without replacement from {y: 4, u: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 2*k + 4*k + 3*k. Let w(h) = 5*h**2 - 4*h**2 + h**2. Give v(w(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 5\/3)*(-42)\/(-14). Suppose -5*s = 5*h + f, 2*h = -5*s - 0*s + 1. Calculate the remainder when 44 is divided by (-2 - h - -75)*(-3)\/(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 27.74, -6, -1, 3\/7?\nAnswer: 27.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93738587 or 93738588?\nAnswer: 93738587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u - 76. Let c be i(-6). Let f = c - -36. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 24684*l.\nAnswer: -4*l*(l + 6171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -320 + 324. Which is the second smallest value? (a) y (b) -7 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4179737 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18842 + 18835. Which is the closest to r? (a) -3\/2 (b) 1.97 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + 72 + -5 + 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -56*h + 1456. List the prime factors of m(-18).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)*x*x**(4\/9)*x*((x\/x**(-1))\/x)**(-1\/9))**(7\/8))**(10\/9) assuming x is positive.\nAnswer: x**(-175\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/35 - ((-304)\/(-40) - 8). Let p = 15 - 15. Which is the closest to p? (a) 2 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 268 = -0*z - 2*z, 5*u - 266 = -4*z. Let v be (2\/u)\/((-54)\/12 + 5). Put v, -1\/6, -1\/4 in descending order.\nAnswer: v, -1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 5}. Give prob of picking 4 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooopoppo. Give prob of sequence opo.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53679749501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -7*i**4\/12 - 8*i**3\/3 + 8*i**2. Differentiate s(t) wrt t.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*g - 246*g + 10 = 0. Let m be (g + (17 - 8))\/(2 + -3). Sort 2, -4, m in ascending order.\nAnswer: m, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/24*(0 - 7\/(-2)). Let w be ((-5)\/4)\/((-2)\/8). Suppose w*z + 117 = 4*k, -4*z = z + 5. Calculate the highest common factor of k and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/55 and -35\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344041 - -25?\nAnswer: -344012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -3 (c) 12790\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s. Let w(v) = 721116*v. Calculate w(d(c)).\nAnswer: 6490044*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80)\/44)\/(-5))\/(722*940\/39292)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7026.\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzsllmzvzvzzzzllm. Give prob of picking 2 m and 1 z.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c - 5. Is v(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -212 + 408. What is the remainder when v is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4536 = -20*r - 4581, 2*r = 4*y - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 14*c - 107. Give i(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 40*b - 2*b + 73*b + 4*b.\nAnswer: 115*b + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4708, 4271, 3842, 3421, 3008?\n\"Answer: 4*y**2 - 449*y + 5153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48770318749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37a8 + -1?\nAnswer: -37a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13cc - -36a?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -913 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515 is divided by 152?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -11*t**4\/24 - t**3\/3 - 7*t**2. Find the first derivative of j(c) wrt c.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (606144\/128576)\/((-11)\/(-140))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-60) - (3 + -1)\/8\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {p: 2, c: 6, a: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 141 + 29 + 33 + 1816*v**2 + 54.\nAnswer: 1816*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2950410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*i + 126*i - 78*i)*(0 + 1 + 0) to w + v*i and give v.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3484 is divided by 311.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 250, 238, 222, 202, 178, 150?\n\"Answer: -2*s**2 - 6*s + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2118.4 - -2118. Which is the closest to -0.1? (a) 4 (b) 4\/7 (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16188480 divided by -3360.\nAnswer: 4818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0 + 0 - 2*r. Let g(v) = -3*v**2 - 5 + 2 + 3. Calculate g(k(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 9:45 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52156 + 52778 + 1290 = -2213*h for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.3. Let a = 0.559 - 0.4. Let t = a - -2.841. What is the nearest to g in t, 0, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*j + 38, 1 - 3 = j + 3*x. Let o(m) = 10*m - 4. Let y be o(j). Find the second derivative of -49*f - f**5 - 48*f + y*f wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -15*h**2 + 31*h - 41. Differentiate i(f) with respect to f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*r - 187*r + 55*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30500 divided by -10\nAnswer: -3050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 167, -3, 1, -1\/14 in descending order.\nAnswer: 167, 1, -1\/14, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, -5, -733.\nAnswer: -733, -23, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 20. Suppose 17*m + 1172 = 696. Determine u(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -484, -505, -534, -565, -592, -609?\n\"Answer: w**3 - 10*w**2 + 2*w - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-48)*4*((-5640)\/(-5100))\/(-94)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(-2)\/(-24)*15. Let k be (r - 12)\/(1\/4). Is 3 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -1 - (-2 + -3). Let t = -235966 + 235971. Solve -5 = k*d + t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.06 (b) -2 (c) 2\/21 (d) -1\/2 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 192*l - l**2 + 3*l**2 + 192*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11590.09578 rounded to the nearest 100?\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -21*i - 22. Let w be d(-2). Solve 0 = -o + 5*o + w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524*r + 522*r - h = -8, -8 = -2*r + 3*h. Solve -r*w + 11 = g, g = 4*g + 2*w - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1, 2*x = -0*x - 4*u - 74. Let o be -2 + 2 + 2 + 1. What is the tens digit of (o\/(-2))\/(x\/806)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*z**2 - 44*z**2 - 45*z**2 - 43*z**2 - 204*z to a + o*z**2 + l*z and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 66*c. Let b = 55 - 54. Let s be f(b). What is the derivative of -13*v**2 + 66*v - s*v + 24 wrt v?\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -3)\/((-42)\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -4251, -3, 2\/3, -377?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 24 - 30 = 0, 621 = 5*s + 3*l. Calculate the remainder when 391 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-142 - 0)\/(5 - (-873)\/(-175)). Let s = z + 22218. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 + -160. Let z be (3528\/237)\/r - (-1 - 4). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 12*a**2 + 8*a - 46. Let d be f(12). Suppose -o + 190 = -5*b - d, -3*o + 777 = 4*b. What is the greatest common factor of 204 and o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -457.875 to the nearest integer.\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1)\/((-2)\/3). Let r = 0.9186 - -3.0814. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 316\/283?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111953974 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10272542472.00000151 + 10272542278. Let t = v - -194. What is t rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-105))\/((-1)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82419061*u**4 - 88*u**2 + 51004*u + 1 wrt u.\nAnswer: 1978057464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -344306665+0.3\nAnswer: -344306664.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837 (base 9) to base 15.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19188238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4 - 2\/(-4). Let m(h) = x*h**3 - 3*h**3 + 2*h + 4*h**2 + 2*h**3. What are the prime factors of m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24495923.\nAnswer: 29, 71, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30586331?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + 3 = 0. What is the common denominator of (215\/(-30))\/((-2)\/r) and -75\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 + 10*w**2 - 9*w. Let t(y) = 15*y**3 - 51*y**2 + 46*y + 1. Let v(d) = 11*n(d) + 2*t(d). Factor v(k).\nAnswer: -(k - 1)**2*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22514365 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*b**5*t**3 - 40659*b**3*t**3 + 112819*b*t**3 - 7*t**3 wrt b.\nAnswer: 700*b**3*t**3 - 243954*b*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 - 36*d**4 - 60*d**3 + 100*d**2.\nAnswer: -4*d**2*(d - 1)*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.198 - 34. Round s to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 6029*b + 10040. Let l(k) = -k**2 - 2010*k + 3340. Let a(u) = -8*l(u) + 3*p(u). Differentiate a(s) with respect to s.\nAnswer: 4*s - 2007","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 335\/(-4) + (-4)\/16. Let b = -661 - -671. List the prime factors of (-5)\/(b\/k) - (21 + -20).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 - 151. What is the closest to v in -0.4, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 8*w**2 - 9*w - 6. Let n be s(9). Let x = 10 + n. Suppose -x*d + 16 = -0*d. Solve -j - 15 = d*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -173 or -176?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*0)\/(136 - 134)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 76. Suppose v = -3*l - l. What is the units digit of (l\/(-4))\/(-3)*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -0.2 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11567960*f**3 + 2234374*f - 4.\nAnswer: -69407760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.52977 litres in millilitres?\nAnswer: 11529.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-813)\/(-39566)*1*(-14)\/21?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -855*u**4 + 2370*u**3 - 1760*u**2 + 160*u.\nAnswer: -5*u*(3*u - 4)**2*(19*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**2 - 56*k**2 + 102*k**3 + 47*k**2)*(2 - 2 - 1 + (3 - 2 + 1)*(3 - 1 + 0)).\nAnswer: 306*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302258.\nAnswer: 2, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - f - 63 + 63. Let t(n) = -2*n. Determine j(t(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -14 - (1 + (-8 - -14 - 8) + 105).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u + 3. Let f(d) = -13*d - 2. Let w(j) = 4*f(j) + 3*q(j). What is w(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/3)*n**0\/n*n\/(n\/(n**(-2)\/n))*n\/(((n\/n**(-2\/5))\/n)\/n) assuming n is positive.\nAnswer: n**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 1:23 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 676, 11149, -1 in decreasing order.\nAnswer: 11149, 676, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -16263?\nAnswer: 16261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 6. Let k = n - -1. Let v be ((-1)\/(-4))\/(30\/(-16)). Sort k, v, 4 in increasing order.\nAnswer: k, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -21*m - 4*h - 78, -3*m = -5*h - 118. Calculate the highest common factor of 943 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14, -2\/13, -1\/771, 20.2?\nAnswer: -1\/771","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 smaller than -0.40547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6189*u + 6202*u - 12233*u. Let p(m) = 10*m. Let c(n) = 3*n. Let j(r) = -7*c(r) + 2*p(r). Calculate j(z(i)).\nAnswer: -158*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s + 5. Let n(g) = -5*g + 0*g - 3 - g**2 - 1 + 0*g. Let t be n(-5). Let u(x) = 5*x - 3. Calculate t*b(o) - 7*u(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 105 = 75. Let s = -1892\/21 + n. What is the smallest value in 0.4, s, -2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -103*s**3 + 3*s**2 + 18*s - 98. Let z be j(4). What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 6 = -3*d - 19, 2*d = 3*w + 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m + 16. Let u(z) = 6*z + 24. Suppose -3*h + h = 4*l - 34, 4*h + 3*l - 43 = 0. Let v(a) = h*k(a) - 5*u(a). Let p be v(-6). Solve 6 = p*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/57225504 and 95\/240128?\nAnswer: 915608064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = -2*u. Let j be (-4)\/(-6) + (-30)\/u. Suppose -2 - 10 = -j*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*i + 4*p, 5*i - p = i + 16. Let a be (-2 + 4 - i)*0. Let k = a + 0. Sort k, 1, 4 in ascending order.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*u = -48, 3*v - u - 3*u - 29 = 0. Let h(r) be the first derivative of r**4\/4 - 11*r**3\/3 + 2*r**2 + 9*r - 4. Is h(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3604 and 29\/15900.\nAnswer: 270300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2000 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563.4 + 104.8.\nAnswer: 668.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73053361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 2*g + 240 = 0. Calculate the least common multiple of (g\/18)\/(10\/108) and 0\/(-2 - -3) + 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**4 - 1351*q**6 + 8 + 818*q**6 + 633*q**2 - 6 wrt q.\nAnswer: -63960*q**3 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w - 4*o + 60380, 5*w + 4*o - 75480 = 0. Let h be -1*4\/(-8)*-2*w. Round h to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + -104?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 - 33 = 4*q, -y = 2*q + 7. Solve 0 = y*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -41*h**2. Let s(b) be the first derivative of -13*b**2 - 4793. What is x(s(f))?\nAnswer: -27716*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/3*(-100)\/(21500\/(-1419))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 95968978.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p. Suppose -3*b + 4*b - 1 = p. Differentiate -b - 2 + z**2 - 2 - 7*z**2 wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((2*-1)\/8). Let o(q) = -q + 5. What is the units digit of o(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 8\/8 - 88. Let h = -83 - r. Solve -4 = -6*u + h*u - x, -u + 3*x = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42080446*y**4 + 2*y**3 + 36926297 wrt y.\nAnswer: 168321784*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -76*f**2 + 236*f + 108. Let m(a) = 30*a**2 - 94*a - 43. Let h(g) = 12*m(g) + 5*v(g). Factor h(b).\nAnswer: -4*(b - 3)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 455, 470, 487, 506, 527, 550?\n\"Answer: b**2 + 12*b + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {g: 2, f: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 65 = -55 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 71*v**3 + 21*v**2 - 21*v + 1. Calculate the least common multiple of w(1) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2548) + sqrt(2548) + (sqrt(2548) - -1*sqrt(2548)))*4 + 5 + 4)**2 + -3.\nAnswer: 4032*sqrt(13) + 652366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 5. Let g be y(-13). Let h = 6\/19 - 56\/57. Calculate the common denominator of (4\/g)\/((-5)\/3) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 597 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5384447256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 3. Let u be w(6). Let p be u\/(-45) + (-2)\/(-6). Let h be (-84)\/10*(-66)\/(-77) + 7. What is the nearest to p in h, 1\/2, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253785519 and 2691.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/9)\/(-1) - (-702)\/(-486)) + (-424)\/(-480)?\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346868969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*(-4)\/(-3). Let a be (2 + -2)\/(1 - z). Suppose a = -11*u + 8*u + 9. Calculate the remainder when u is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.93 - -6. Let s = 3.93 + m. Let r = -4.4 + s. Put r, 1\/3, -2 in decreasing order.\nAnswer: 1\/3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1302232 + 121?\nAnswer: 1302403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -102831?\nAnswer: -102832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/(-9))\/(-10))\/(4*3\/(-117)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -660721 - 0.74184\nAnswer: -660721.74184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83, 110, 155, 218, 299?\n\"Answer: 9*m**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let q = -12849 + 12851. Let g(z) = -z**3 - 6*z**2 + 7. Let h be g(-6). Let d(n) = 5*n + n - h*n - 1. Calculate q*o(i) - 3*d(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 619911.5s to milliseconds.\nAnswer: 619911500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**2 - 21*f**2 + 67*f**2 - 24*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306619 is divided by 21602?\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44152 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Let s(n) = 130665*n**2. Determine s(d(h)).\nAnswer: 130665*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*h = -42 + 35 + 34, 6 = -h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000278499 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/4*1 - (-4)\/(-2). Suppose -2*b + 3*x = 7*x, -c = 4*b + 4*x. Let g be 3\/12*b*-14 + -4. Solve 5*u - p + 3*p = -3, -14 = -2*u + g*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + c = -3, -v + 5*v - 5*c - 15 = 0. Suppose -28320 = -j - 11*j. Suppose v = -3*w - w + j. Round w to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.7319 and -0.4.\nAnswer: 5.09276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 45. Let j = -23 + z. Suppose 0 = 50*l - 51*l - 7. Which is the biggest value? (a) l (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3\/4 (c) 0.5 (d) 265 (e) -3\/7 (f) -5 (g) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 36, 37, 38, 39, 40?\n\"Answer: j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4687502424?\nAnswer: 2, 3, 11, 17755691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 325\/37 = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 398.35866158.\nAnswer: 396.35866158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 21 = p, 0*l + 4*l + 20 = 0. Suppose -x = -p*w + 17, 3*x = -2*w - 7 - 2. Suppose 3*d = 2*y - 7 - 17, 3*y - 21 = -w*d. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290660 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.9321*-3\nAnswer: 8.7963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memeee. Give prob of picking 3 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {i: 5, e: 3, p: 2, j: 3, n: 3}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-2 - (-3 - 0)). Suppose 4*j - j - 57 = c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 19*j - 29. Give c(9).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111967 + -176497. What is b rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29766200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + i - 3*i + 2, -3*g = 2*i - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 13*l**2 + 7*l**2 - 5*l - 37 + 21*l**2. List the prime factors of w(11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 5, 23, 66, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighty-six thirds of a minute?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 15646.\nAnswer: -9\/15646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07 and 224?\nAnswer: 224.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340 - 212244213?\nAnswer: -212243323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 5.75\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -3*c**2\/2 + 10*c - 3. Let d(q) = 2*q - 11. Let h(o) = 4*d(o) + 3*v(o). Let w be h(-20). Solve 2*r - 12 = w*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 19*f + 173. Let q be (-2*(-3 - -2))\/((-4)\/18). Let i be a(q). Solve 0 = -x + i*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 238*(0 - (-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 3*y**2 + 3*y + 2*y - y**2.\nAnswer: 2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 = -p, 3 = i - 2*p - 5. Let j be i\/(-6) - 893\/(-3). Let b = -210 + j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13460230 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -356720 (base 9) in base 6?\nAnswer: -4334543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*m - 34. Let n be m\/((-22)\/(-24) + (-1)\/4). Differentiate -14*d**3 + 9*d**3 + 15*d**n + 6 with respect to d.\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t*t\/(t*t**(2\/11)))\/t)*t*t**(-31) assuming t is positive.\nAnswer: t**(-317\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 2.1146\nAnswer: -8.4584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 4056*x**2 + 1387008*x + 10838016.\nAnswer: 3*(x + 8)*(x + 672)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 - -576. Calculate the remainder when c is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z**3 - 5*z**2 - 4*z - 1. Let s be u(-1). Let v(f) = f**3 + 16*f**2 + 12*f - 12. What is the hundreds digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(170)*2)\/(sqrt(120)\/sqrt(108)) + 3 + 2*sqrt(102)\/(sqrt(6) + 5*(sqrt(24) - sqrt(6))).\nAnswer: -17*sqrt(17)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 73, 163, 281, 421, 577?\n\"Answer: -p**3 + 23*p**2 - 6*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15877 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 10*x**2 + 32*x + 10. Determine d(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495311 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5453448, 4, -1, -2, -4 in decreasing order.\nAnswer: 5453448, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvg when three letters picked without replacement from {v: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/(43\/4214). What is the greatest common factor of u and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 74, 123, 190, 281?\n\"Answer: c**3 + 30*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*t + 5100, 2*k - 15228 = -k - 3*t. Is k a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4320 and 400?\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2053 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 - 3*f**2 - 13*f + 5. Let x(u) = 5*u**3 - 4*u**2 - 20*u + 8. Give 8*i(y) - 5*x(y).\nAnswer: -y**3 - 4*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus 114.8?\nAnswer: 114.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -8.531654902.\nAnswer: 3.531654902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k - 11*k**3 + 5*k**3 + 7*k + 2*k**3 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Solve v - 2*j = -2 - 4, r = -4*v - 2*j + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71661524.9 - -44168329. Let m = 115828978.900369 - s. Let a = m + 875. Round a to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -7, -108, -13, -4 in decreasing order.\nAnswer: -4, -7, -11, -13, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/726 and -7\/429066.\nAnswer: 429066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/20)\/(60\/8)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4102 - -6503. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12029 = 33*w + 11864 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*d + 3, -2*c = d + 213 - 211 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68*o + 36*o + 34*o + 5)*(4 + 2 - 1)*(-o**2 - o**2 + o**2) in the form x + y*o + g*o**3 + i*o**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4016733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12221, -11, 0, -5, -3 in descending order.\nAnswer: 0, -3, -5, -11, -12221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.1 plus -39108640?\nAnswer: -39108597.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*sqrt(320) + (2*sqrt(5) + 2 - (sqrt(80)*1)**2) + -4.\nAnswer: -82 + 98*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2\/61)\/q))\/(q*q*q\/(q\/(q*q*q**(-5\/4)))) assuming q is positive.\nAnswer: q**(-175\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 2) + -117 + 143?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3851 + 7049. Let z be w\/14 - 21\/49. Let s = -1714 + 1752. What is the highest common divisor of z and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 + 2746014*j**2 - 71394843*j + 464063184 = 0. Calculate j.\nAnswer: 13, 915312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, l: 1, n: 12}. What is prob of sequence tt?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-165)\/(-30) - 1\/2. Solve -6 = -d*b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*u**3 + 2 - 13*u**3 - 3 to the form g*u**2 + j*u**3 + b + i*u and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1088 and -107\/2992?\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.976 less than -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -725\/1507, 5?\nAnswer: -725\/1507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 18*c + 6*c)*(4 - 2 - 3)*(-6 + 1 - 4).\nAnswer: 162*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, r: 13}. Give prob of sequence srsr.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:04 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 0. What is the hundreds digit of (-9)\/18*(-18)\/j + 1741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-3360)*21)\/(6\/(-8)*-5)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -174550383?\nAnswer: 174550376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -315*w - 4. Let z be l(-4). Suppose -b + 302 = 5*a, 4*a + 0*a = -4*b + z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -389, 0.1, 13, 10\/13?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {w: 5, v: 14}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15438 - 3956. List the prime factors of b.\nAnswer: 2, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuhhqkqukqqqqhhqhq. Give prob of picking 1 k and 2 q.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, b: 1, r: 6}. What is prob of picking 2 r and 1 c?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 - -10.4. Let t = 700.22 + -693. Let j = g - t. What is j rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a meter in centimeters?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0 + 3*c + 13*c**2 - 1 + 7 - 3. Let d(p) = -p**3 - 7*p**2 - 2. Let l be d(-7). Is f(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 2*s, -6*s + 3*s = g + 7. Sort -9, 2, s in increasing order.\nAnswer: -9, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - -24*((-38)\/(-8) - 4). Solve -3*l + 4*c + r = 0, 5*l + c + 1 = 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 228*j**2 - 19038*j - 111. Determine y(56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let b(j) = -130973*j**2 - 4*j - 12. Determine b(c(g)).\nAnswer: -523892*g**4 + 8*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 3b7?\nAnswer: -3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 3*p + 48 = 0. What is the least common multiple of p\/3 + (-2 - -4) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -253*m + 25. Let n(h) = 50*h - 4. Determine -11*n(o) - 2*x(o).\nAnswer: -44*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(22\/24)*16\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 + 1 + 4*j**2 + 16*j - 3 to the form i*j**2 + a + k*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 5644?\nAnswer: 16932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 30, 48, 64, 78, 90, 100?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 999781 and 0.09.\nAnswer: 999781.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(1300))**2.\nAnswer: -31200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12921*o**5 - 3892*o**3 + 53097*o - 360 wrt o.\nAnswer: -258420*o**3 - 23352*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*s**3 + 149*s**3 - 45*s**3 - 51*s**3 - 125*s.\nAnswer: s**3 - 125*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*o**5 + 2*b**2*o**2 + 2*b**2 + 109*b*o**2 - 1365*o**5 - 98*o**2 - 5 wrt o?\nAnswer: -60*b**2*o**2 - 81900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.28243872 + 0.11884028. Let k = i - 15.4. What is k rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/8, -1, 1\/3, 1\/6, 0.2 in decreasing order.\nAnswer: 1\/3, 0.2, 1\/6, -1, -15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.346 - -4.346. Let t be 5\/12 + (-2)\/3. Which is the nearest to t? (a) -1\/2 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**4 + 4*z**3 - 20*z**2 - 4*z - 4. Let o(n) = n**4 + 5*n**3 - 19*n**2 - 5*n - 5. Let q(p) = 5*k(p) - 4*o(p). Find the third derivative of q(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {c: 3, q: 12, x: 3}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = 2*z + 1, 0 = 5*z + 2*j - 10. Suppose -3*g + 5*x + 20 = 0, -z + 20 = 3*g - 3*x. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6) - (-2)\/(-4). Let c(n) = n + 1. Let z be c(1). Let k be 10\/(-8)*z\/(-5). Is v less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -9. Let u = -8 - -8. Suppose q - 3*b + u*b = 15, -3*b = 3*q - 105. What is the greatest common divisor of i and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(3\/5))*l)**(-3) assuming l is positive.\nAnswer: l**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 50, 27.\nAnswer: -122, 27, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 730740*g**2 - 8*g + 14586 wrt g?\nAnswer: 1461480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-14)\/147). Let u be (1\/3)\/(z\/21). Calculate the remainder when 1\/(-2*u\/72) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 228 + -223. Is n at most 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -12 - (-9 - 10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000 (base 2) in base 8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a439b (base 15) to base 4.\nAnswer: 22223101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 - 1. Let j = 0.4 - i. Let q = 3.4 - 3. Sort 0.5, q, j in descending order.\nAnswer: 0.5, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133331927 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 2254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2871118 plus 0.60126?\nAnswer: -9.6858518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b - 15214 - 15210 + 30422. Let y(r) = r + 1. Calculate -f(p) - 5*y(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 - 6*k**2 - 7*k**3 + 21*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 74182110.\nAnswer: 44509266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 30071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 12*g - 106. Let z be m(9). Let f be ((-3)\/(-6))\/(z\/(-16)). What is the nearest to -2\/11 in f, 0.4, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -57*y**2 + 4*y - 4. What is w(1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 2*j - 3. Let g be q(2). Do g and 18\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18193 and 1025136.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -290, 3, 1, 5 in increasing order.\nAnswer: -290, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1100 = -0*q. Is 8\/(-12) + q\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(11) + 0 + (sqrt(77)*1)\/sqrt(7) - (sqrt(396)*-2 + 2 + 2)**2.\nAnswer: -1600 + 95*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttr when three letters picked without replacement from arrmetamrtmr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432959 by 331.\nAnswer: 432959\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -1, 128?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + -2 + 0 + 4. Let q(b) = -b**3 - 3*b**2 + 3*b - 4. Let c be q(n). Solve d - 1 = -c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (11 - 2) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 47*t + 6*t = 384 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15682.\nAnswer: 2, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -219, -218, -231, -264, -323, -414?\n\"Answer: -y**3 - y**2 + 11*y - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -234 - -1a?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87224.9 and -0.5.\nAnswer: -43612.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**8\/336 + 43*o**6\/120 + 3*o**5\/20 + o**4\/3 + 319*o**2. Find the third derivative of h(g) wrt g.\nAnswer: 60*g**2 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 9*u - 28. Let y = 1506 + -1268. What is the highest common factor of u and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (15104\/(-192))\/(4\/(-69))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(128) + 3 + -1 + sqrt(128) + sqrt(128) + sqrt(128) - (-1 + sqrt(128)*2)))**2 - (sqrt(1800) + -2 - sqrt(7200)*-4).\nAnswer: -270*sqrt(2) + 514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 367.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 237\/630 - (1 + 12)\/39. Let h(g) be the second derivative of -2\/21*g**3 + 0 + 0*g**2 - 13*g + b*g**5 - 1\/42*g**4. Find r such that h(r) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.326 - 6.326. Let z be (-10)\/(-55) - 6\/154. Which is the nearest to y? (a) -1 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s**11*s*s)))\/s)\/(s\/(s*s\/(s*s**(-3)))) assuming s is positive.\nAnswer: s**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 279, 361, 491, 663, 871, 1109, 1371?\n\"Answer: -t**3 + 30*t**2 - t + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmlmmmmmmmmlllmml. What is prob of sequence ml?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-78)\/(-12))\/(-13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/14)\/r)\/(r*r*(r\/(r*r\/(r\/(r\/(r\/((r\/(r**(-2\/3)\/r))\/r))))*r))\/r*r)*(r**(21\/2)*r)**(-37))**(-1\/19) assuming r is positive.\nAnswer: r**(8941\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -21*y**3 + y**2 - 4*y + 4. Let v(b) = -b**3 - b + 1. Give m(a) - 4*v(a).\nAnswer: -17*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 27*m**2 - 99*m. Let h be k(-4). Solve 374*d = 381*d + h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 74*k**2 - 128*k + 104. Give h(-35).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-4) - (-2)\/(-8). Suppose u*p = -2*p - 24. What is the units digit of (2\/(-4))\/(3\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 9:08 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660, -542, -422, -300?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6827*d = -6556*d - 14363 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:40 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 105.19 (b) 0 (c) 0.13 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**2*o**2 + 4598*f**2 - 24877742*f*o**3 - 22*f*o + 536*f - 2*o wrt o.\nAnswer: 10*f**2 - 149266452*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 13. Let o be u(10). Let t(q) be the first derivative of -2\/3*q**o - q - 2 + 0*q**2. What is the derivative of t(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 18*n + 6. What is v(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -110, 2, 4, -0.05, -456 in decreasing order.\nAnswer: 4, 3, 2, -0.05, -110, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adj when three letters picked without replacement from {d: 1, j: 1, a: 1, e: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 16*y = -1885. Calculate the remainder when 1735 is divided by y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12054 (base 9) to base 11.\nAnswer: -6075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1, 2.09, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3480347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441278827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/(-1))*(-560)\/112.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 6*r + u = -22, r = u + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 503984938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*x = 5*x - 2, -3*g + 14 = -4*x. Let m be 3\/4 - 21\/(-4). Let v be (-832)\/(-12)*m\/g. Calculate the greatest common divisor of 26 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3 - 9. What is the remainder when c\/(-16) + 910\/16 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 9*v**2 - 13*v + 10. Let l be i(-7). Factor -2*u - 2\/7 - 30\/7*u**2 - 18\/7*u**l.\nAnswer: -2*(u + 1)*(3*u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 2*y + 130. What is the remainder when 51 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/298738 and 53\/33.\nAnswer: 896214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, y: 2, c: 1, e: 9}. Give prob of picking 1 y, 1 e, and 1 d.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 - 5*l**2 + 4*l**2 + l**2 - 3*l**2 + l**2 - 5*l**2 + 4*l**2 + 3*l**2 + (1 - 1 - l**2)*(-1 - 1 + 0).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 930 and 920.\nAnswer: 85560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 743088 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + 1 + 144\/64\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33322323020 (base 4) to base 3.\nAnswer: -21212000222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-238)\/(-3) + (-1)\/3. Let o = 111 - d. Suppose -7*c = 4*l - 16, l - 4 = 5*c - 0. Calculate the greatest common factor of o and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/18 + 22*c**5\/45 - 14*c**4\/9 + 16*c**3\/9 + 11*c**2. Factor f(n).\nAnswer: -4*(n - 2)**2*(5*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*a**6 + 416*a**4 - 119988*a**2 wrt a?\nAnswer: -1440*a**3 + 9984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 7*z + 16. Let s be g(5). What is the second derivative of -n**3 - 8*n**2 - 4*n**3 - 134*n + 11*n**3 + s*n**3 wrt n?\nAnswer: 72*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by 9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f + 4 - 3*f - 7*f + 0*f + f**2. Suppose -g = -5 - 0. Is h(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194508015\/19 or 10237263?\nAnswer: 194508015\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*r + 18, -3*r = 5*d - 24 + 8. Let s be (-1)\/(r*1\/2). Let y(i) = 6*i**2 + 2*i + 1. Let a be y(s). Solve 5*u + 0*u = -a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7 - 8 = t, -5*t = -2*x + 5. Let y(j) = -j - 4. Let d(r) = 27*r - 9. Let c(g) = t*d(g) - 12*y(g). Differentiate c(s) with respect to s.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.064 (b) -1\/4 (c) 0.3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -185*t - 24. Let u be n(-12). Suppose 2*z = 5*m - u, 0 = 11*m - 8*m + 4*z - 1328. Is m a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.846 - -1.19367984.\nAnswer: 11.03967984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(320) + sqrt(320)*3 + -2.\nAnswer: 2 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5 - 5. What is the least common multiple of 14 and 2\/4 - 95\/h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107811227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/265 + -4193\/530. Find the common denominator of f and -47\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112*-0.43.\nAnswer: 48.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*s + 10. What is the second derivative of -2*f**s - 249*f + 2*f**4 + 255*f + f**5 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/12 - 5*c**3\/6 + c**2\/2 - 2*c - 8. Let q be 85 + (-3 - -5)\/(-2). Let u be (1 + -4)\/((-63)\/q). Determine l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18985, -18810, -18635?\n\"Answer: 175*y - 19160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -2 (c) 29 (d) -8 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*x - 84. Let p be 4\/(-12) - 2\/x. Let f be (-2)\/6 + 10\/(-6). Is p > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*l**4 + 3*l**2 - l**4 - 2*l**4 + 2*l**4 wrt l.\nAnswer: -192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 88*p**2. Let k(x) = -25*x + 6. Let f(b) = -71*b + 18. Let z(a) = -7*f(a) + 20*k(a). What is z(c(m))?\nAnswer: -264*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*y + 14582*c*l*y + 4401*l - 2*y with respect to c.\nAnswer: -4*c*y + 14582*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 2004*q**2 + 6040*q - 4032.\nAnswer: -4*(q - 2)*(q - 1)*(q + 504)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52437\/52 + -4039\/4. Find the common denominator of o and 59\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 71.82709 seconds?\nAnswer: 71827090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64112842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrxr when four letters picked without replacement from {r: 3, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 3*x**5\/20 - x**4\/2 + x. Find the third derivative of z(c) wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 8 + 6 + -10 + -2 - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:08 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/140 in 1, -6\/5, -0.0805, 3, -3\/4?\nAnswer: -0.0805","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5071113 or -5071110?\nAnswer: -5071110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131433291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**3\/6 + 8*q. Let h(u) = -3*u**2. What is h(d(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*h + 3, -10 = -2*r - 2*h. Suppose -u - 1735 = -6*u. Suppose 0 = -5*y + 3*v + u, v + r*v - 73 = -y. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -36. Let h = -129066086.999981 + 129066148. Let j = h + d. Round j to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 plus 0.00828822?\nAnswer: -21.99171178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -103*b**6\/30 + b**4\/6 - 5*b**3\/6 + 4*b + 4. What is the third derivative of i(w) wrt w?\nAnswer: -2472*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-40)*-4*2)\/(-4*9\/(-1764))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (25388\/(-7501))\/(6\/(-13))\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 35 + 20 = 2*n + 15, 3*n + 2 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19345 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/8 and 47\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.4. Let b = -1230 + 1229.68. Let o = -0.02 - b. What is the closest to -2 in g, -1.1, o?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -21?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-6.3.\nAnswer: -0.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 - 44*a - 26*a + 74*a - a**3 + 60*a as p*a**3 + j*a**2 + l + v*a and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 734935 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.64 + 0.06. Let g = i - 0.6. Let x = g + 0.2. What is the third smallest value in x, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 2. Let m be i(4). Let p = 11 - m. Suppose -p*f + 0 = -20. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31870 + 33060. Calculate the smallest common multiple of 510 and b.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/678 and 73\/353238.\nAnswer: 353238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1107\/16 + -1103\/16. Let y = 0.02 - 0.02. What is the nearest to y in q, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 657989478*t**2 - 840071983 wrt t.\nAnswer: 1315978956*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 70. Let g(m) be the third derivative of 0*m**4 + 0*m**3 + k*m - 1\/20*m**5 - 1\/120*m**6 + 0 + 2*m**2. What is the third derivative of g(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*s**3 - 87*s**3 + 141*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 238. Suppose -i = z - 2*z. Let p = z - 67. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 8 = 3*s. Let a be 15\/(2\/4*3). Let k = a + s. Solve 3 = -3*u - 3*b, k*u - u = -b - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128613 is divided by 7510?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 3. Let d be (-1)\/(-1 - (-3)\/4). Suppose 2*c - 2*i = -18, 4*c = -3*i + d*i - 24. Let l(k) = 1 - 2 + 0. Give c*l(g) + m(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3864144 and 71\/1694800?\nAnswer: 96603600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 2:07 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 54 = 5*n - 3*p, -17*n = -20*n + 5*p - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.528636 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 771 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598 - 20*f**2 - 261 - 337.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 2}. What is prob of picking 1 h and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -433 - -433. What is the third smallest value in 3\/7, 1.5, o?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 2. Let m = -23 - c. Let r = 4 + -5. Put 2\/11, r, m in ascending order.\nAnswer: m, r, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -34 (c) 0.02 (d) -2\/75 (e) -365\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = 70*o - 2993369. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 155? (a) -1.4 (b) 5 (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 34*x = 0. Factor -1\/7*j**4 + x - 1\/7*j**3 + 0*j + 1\/7*j**2 + 1\/7*j**5.\nAnswer: j**2*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4, 0 = -w - w - 4*s + 10. Suppose 4*x + 15 + w = 0. Let i = 41 + -38. Put x, i, 1 in descending order.\nAnswer: i, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9856359 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/14 + (1460375\/(-49) - -3). What is l rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 18. Let m be k(9). Let f = m - -19. What is the highest common factor of f and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, b: 1, y: 4}. What is prob of sequence nb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z)**28*z\/z**(-5\/6)*z*z**(-7)\/z*(z**(1\/13)\/z**10)**(1\/6) assuming z is positive.\nAnswer: z**(-1358\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*a + 1. Let y(n) = -6*n**2 - a - 18*n + n**3 + 18*n. Let x be y(6). Which is smaller: 3\/10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -2 - -3 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(-3\/13)\/n)\/n*n*n**2 assuming n is positive.\nAnswer: n**(23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/350? (a) -3 (b) 5\/2 (c) 32\/367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4546742us to milliseconds.\nAnswer: 0.0004546742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h**(-1\/4)*h**1*h**2)\/((h*h**0)**(-42))**(1\/17) assuming h is positive.\nAnswer: h**(83\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 - 374. Let v = 541.4 + u. Let r be -1 + 2 - (-42)\/(-38). Which is the closest to 1? (a) r (b) v (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339 by 113.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112785808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2. Let c(p) = 11*p**2 + 5*p + 5. Let m(q) = 17*q**2 + 8*q + 8. Let y(u) = -8*c(u) + 5*m(u). Give y(f(w)).\nAnswer: -48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/20)\/(-4)*(-60)\/66*1.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p + 5*j, -13 = -3*p - j - 0*j. Let u = 2782 + -2787. Put 1, p, u in decreasing order.\nAnswer: p, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1597040 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**3 - 4*r**2 + 4*r. Let b(m) = -4*m**3 - 3*m**2 + 3*m. Let a(d) = d**2 - 3*d + 3. Let u be a(3). Give u*q(j) - 4*b(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 932174 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -752 equal to -721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/180 + d**4\/24 + d**3\/9 + 2*d**2. Find a, given that o(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 8*l**2 + 2*l + 11. Let d be v(-8). Let h(a) be the first derivative of -3*a**2\/2 + 9*a - 28. What is the tens digit of h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 - 2 = 0. Suppose -5*f - l*c - 5 = 0, 0*f - 4*f + 4*c + 28 = 0. Is (-271)\/(-3) - f\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37, 4, -86?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*b - 68 = -0*k, -4*k + 2*b = -160. Is (346\/3)\/(2\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 0.1, -0.01214, 0.0413 in increasing order.\nAnswer: -0.3, -0.01214, 0.0413, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16079.3 and 10.\nAnswer: -16069.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856182309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133299*h - 4 + 4 + 132109*h - 265410*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -16, -13, 12, 71, 176?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -29 (b) 0.07 (c) 0.04 (d) -132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -512*d**2 - 4*d + 2. Let y(c) = 501*c**2 + 5*c - 2. Calculate 5*k(p) + 4*y(p).\nAnswer: -556*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18473 divided by 53.\nAnswer: 18473\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - 22. Let q = a - 75.00057. What is q rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/3 - 4. Which is the third biggest value? (a) -23 (b) -1 (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.64 - -3.74. Which is the closest to 0? (a) -9.3 (b) 3\/4 (c) l (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 12 + 3*h**4 - 2*h**4 - 2*h**3 - 1 - 2 in the form y*h**4 + n*h**2 + r*h**3 + k*h + t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42543759540 rounded to the nearest 1000000?\nAnswer: 42544000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 - 47*q**2 - 68*q + 22. Let m(y) = y**3 + 16*y**2 + 24*y - 7. Let l(c) = 11*m(c) + 4*n(c). Calculate l(-11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 105, 226, 373, 552, 769?\n\"Answer: t**3 + 4*t**2 + 82*t - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from xjkjxkjkojk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 1\/4, 2.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(272)*-4*-6 - (1 + 0 + (1*sqrt(272) - sqrt(272)) + sqrt(272))).\nAnswer: -1 + 92*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*p = -42. Let b = p - 11. What is the tens digit of (284\/(-6))\/((-44)\/12 + b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4, 4, 5, -34 in increasing order.\nAnswer: -34, -4, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433 is divided by 812.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63.319 and -1.653.\nAnswer: 104.666307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j = 4*w + 150, 3*w = -j - 115. Let s = -40 - w. Are s and 2\/73 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1341500 by 26830.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88843 is divided by 324?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 12. Let z be s(9). What are the prime factors of ((-108)\/16)\/3*8\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 445518?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j*n*w - 6251*j*n + 3564*j + 136742*n*w + 156*w wrt w?\nAnswer: -2*j*n + 136742*n + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10112 and 896.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 0.2 (c) -123 (d) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 118*q - 3286. Determine y(-69).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29652 - -4757. What are the prime factors of x?\nAnswer: 19, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -762 <= -752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24930 and 4.112.\nAnswer: 102512.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4013, -4667, -5299, -5903, -6473, -7003, -7487?\n\"Answer: k**3 + 5*k**2 - 676*k - 3343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 5. What is j(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 109*o - 19. Let f be d(2). Suppose -197 = -4*w + f. Calculate the greatest common divisor of w and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - ((sqrt(288) + -1 + 5 - sqrt(288)) + sqrt(288)) - ((sqrt(288) - (sqrt(288) + sqrt(288) + 0)) + -5) - (-3 + -2 + sqrt(288) + -3))*1)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3555?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 702284.7 years?\nAnswer: 8427416.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3135.96 - 3130. Which is bigger: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-560)\/(-320)*1*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448) + sqrt(448)*-1*-5 + sqrt(448) - (sqrt(448) + -2 + -1) - ((3 + sqrt(448))*-4 + sqrt(448) + -5)) + 5)**2.\nAnswer: 4000*sqrt(7) + 45425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:07 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 5*f**2 - 2*f - 3. Let w be n(4). Suppose i - 3*y = 17, -6 - 11 = 4*i + w*y. Solve 5*z + i = -5*t - 3, 40 = -4*z + 5*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 + 71*o**2 + 26*o + 204. Calculate h(-18).\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + 4*g - 44*g**3 - 2*g**2 - g**3. Let i be a(-1). Is (-7)\/12*-3*i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -8622.\nAnswer: -19\/2874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*s - s. Let h = s + -4. Suppose -h*d + 6 = 2. Solve -1 = -u - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16362716 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.39661109 - -0.5.\nAnswer: 19.89661109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3168, 3264, 3424, 3648, 3936, 4288?\n\"Answer: 32*a**2 + 3136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2673, -11900, -27315, -48912, -76685, -110628?\n\"Answer: h**3 - 3100*h**2 + 66*h + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 + 58 + 0 + -16\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.06765*0.076.\nAnswer: 0.0811414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4 + 4 - 14*y + y - 8*y - y + y - y + (2*y + 2*y - 6*y)*(1 + 2 - 4))*(y**3 + 3*y**3 - 3*y**3).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -56694 * -90\nAnswer: 5102460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4391199081 to the nearest one million.\nAnswer: -4391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 1. Suppose 4*d + 15 = -1. Let i be (d\/(-6))\/((-11)\/(-3)). What is the nearest to -1 in o, -2, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 493 - -214. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253760 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1968285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10986941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o**2 + o. Let y = 20 + -15. Suppose -2*m = -2*u - 10 + 2, -4*m - y = 3*u. Calculate the remainder when 83 is divided by w(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 0, 15\/8, -3, 13.0487, 3\/7?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-10)*(-2)\/27*6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3576022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-4)*-1*-2. Let m(r) be the second derivative of r**5\/20 - 5*r**4\/12 + 5*r**3\/3 - r**2 + 3*r + 788. Does 7 divide m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -3 + 12 + (-50 + 10 + 2 - -10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3223613566332 and 12?\nAnswer: 3223613566320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*n - 10, 15 = -n + r + 7. Let f = 13 + n. Put f, -2, 1 in descending order.\nAnswer: f, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/32697 and 33\/430?\nAnswer: 14059710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 8. Let c(x) = 5*x**2 + 32. Let j(i) = c(i) - 4*m(i). Let p(z) = 6*z**2 + z - 1. Calculate -2*j(k) + p(k).\nAnswer: 4*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 = 128*g - 152*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-12) - (-77)\/4 is divided by (-3)\/(-9) + (-28)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - z + 20. Suppose 3*t = -x + 12, 3*t - 12 = -2*x - 0. Let j be m(x). Suppose -j = -3*n + r, -n - 2*r = 3*r + 4. Solve -1 = d - n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3 + (-224)\/196. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t**2 - 2*t + 140. Let v be b(0). Let m = v - 440. Let r = 455 + m. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121302102 (base 5) in base 2?\nAnswer: 10001011101011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 490\/22 + (-21)\/77. Which is the second smallest value? (a) -3 (b) 3 (c) g (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/25 (b) 1\/8 (c) 1 (d) -1\/25 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 and -125\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 526584016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((234\/(-540))\/(7\/189))\/((288\/(-40))\/(-6))\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16406591*d**3*z - 4449*z + 1699 wrt d?\nAnswer: -49219773*d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34739846887+-1646\nAnswer: 34739845241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86916001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - 33. Let s be (46\/(-115))\/(2\/x). Calculate the greatest common divisor of 276 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -o, 6*o - 7*o - 3 = 0. Does 38 divide 305\/2 + v - 34\/(-68)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 16 = 59. Let t(y) = -y**2 - 8*y - 2. Let k be t(-6). Calculate the common denominator of p*k\/8 + 3 and 145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120*n**2 - 76360*n - 4661902 wrt n.\nAnswer: 240*n - 76360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-234)\/728)\/(24\/14)*4\/(-20)*2?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -833 and -0.0433.\nAnswer: -833.0433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 235320 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/696 - 3795520008\/(-116). What is q rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170498 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/15 and 1552\/132 + -5 - 6?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1900659 (base 11) to base 6\nAnswer: -153015442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + c + 10 = 3*c, -2*c + 10 = -5*j. Let p be 5 + 1 + 1*-1. Factor j - p*h + 4*h**2 + 2*h - 1.\nAnswer: (h - 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15457289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 86*n**2 - 75*n**2 + 1 + 93*n**2 + (201 - 125*n - 201)*(n + n - n).\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443884541?\nAnswer: 3413, 130057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**0*w)*w**5*(w**(1\/2))**(-1\/4) assuming w is positive.\nAnswer: w**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - -0.4. Let h = -1.9 + z. Which is the nearest to h? (a) -4 (b) -0.1 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13128 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/14)\/6)\/((-252)\/(-735)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**4\/4 - i**3 + i**2 + i + 2. What is the units digit of n(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555378 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 133140330 (base 5) to base 12\nAnswer: 28815a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 8*u**2 - u + 4. Let p be s(-7). Let h = p + 151\/4. Let d = 5 - 0. Which is the third smallest value? (a) h (b) d (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -74*g**2 + 4*g - 4. Let u(l) = 80*l**2 - 5*l + 5. Let q(f) = -5*t(f) - 4*u(f). Let h(i) = 19*i**2. What is h(q(k))?\nAnswer: 47500*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73465 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: Which is greater: -1011 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2*c**3\/3 + 3*c**2\/2 - 2*c + 211. Determine q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 73*f**2 - 7*f + 11. Let i(x) = -220*x**2 + 25*x - 34. Let b(d) = 2*i(d) + 7*y(d). What are the prime factors of b(-4)?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.888 meters to micrometers.\nAnswer: 104888000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 10*f + 4. Calculate the remainder when a(-9) is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/25*-5)\/(1\/1). Suppose 2*x + 18 = -4*g, -x - t = 4*g + 14. Let f be (-4)\/(-14) + (x - (-25460)\/(-28)). Round f to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let m = 6 + -3. Suppose 8*s - m*s = 0. Let u(z) = s*z - z - 2*z + 5*z. Give b(u(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 34*i**3 + 13*i**2 + 5*i + 13. Let o(c) = -10*c**3 - 4*c**2 - c - 4. Calculate -2*j(d) - 7*o(d).\nAnswer: 2*d**3 + 2*d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-6))\/(12\/32). Let a(g) = 2*g**2 + 7*g + 6. Let j be a(s). Suppose -3*n - j = -5*n. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/h**(1\/6))\/h*h*h*h**(-1\/7))**(-18))**(9\/11))**(10\/9) assuming h is positive.\nAnswer: h**(-3390\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 30*o + 21*o + 78*o**3 + 192*o**3.\nAnswer: 270*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 2. Let f(v) be the first derivative of v**3\/3 + 77. Give r(f(k)).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-4))\/((-4)\/(-1)))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1145259246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srtt when four letters picked without replacement from wtwrsqttttrt?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/1823 and (190\/(-32))\/(((-527)\/68)\/31)?\nAnswer: 7292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3980 is divided by 993.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046915 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 0*b**2 - 3*b**2 + 9*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6 - 3*t - t**2 + 2*t**2 + 0*t**2 + 8*t. Let d be j(-5). Find the third derivative of -n**2 + 4*n**6 + 5*n**d - 7*n**6 wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 191*a - 1525. Let n be t(8). Let u = 38 - 33. Solve 8 + 4 = -n*s + p, u*s = -p - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*u + 70*u - 30*u - 13*u + 12891)*(9 - 9 - 5*u) in the form d + q*u + k*u**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 6) to base 15\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158\/38991 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wlww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*s**3\/5 + 10402222*s**2\/5 + 4508590872016*s\/5 - 1502864779808\/5 = 0. Calculate s.\nAnswer: -866852, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1523 - 1058. Suppose a + 2*a - t = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 24.4, 204.9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 17.87?\nAnswer: -142.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255819, -1023275, -2302377, -4093131, -6395543, -9209619, -12535365?\nAnswer: -16372787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2476 is divided by ((-384)\/(-480))\/((-4)\/(-620)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -3*a**2 - 13. Let h(c) be the third derivative of -5\/12*c**4 + 0*c + 0*c**3 + 7*c**2 - 2. Give h(g(f)).\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 7. Let o be v(0). Suppose -3*s - o = -4*s. List the prime factors of -3 + 2 + 1 + s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -8 (b) -2 (c) -3\/130 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + (26\/(-4))\/1)*-72. What is the greatest common divisor of a and 800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 9. Let g(m) = -4*m. Give g(c(z)).\nAnswer: 16*z + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -15. Suppose -81 = -45*j + 234. Calculate the greatest common divisor of j and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -555 + 578. Calculate the greatest common factor of 483 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 95. Solve 3*m + 18 = c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*k + 4 - 2, 9 = k + 3*l. Suppose 2*q + 4*j - 2*j - 18 = 0, k*q - 19 = j. Let s(o) = 3*o**2 - 6*o + 1. Is s(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, -19, -76, -163, -280?\n\"Answer: -15*g**2 + 18*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/2, 0.1, -1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 25271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -4.48\nAnswer: 0.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/23)*m)\/m*m\/(m**(-5)\/m))\/((((m\/m**(1\/2))\/m)\/m)\/(((m*(m*m\/((m*m*m**8*m)\/m*m))\/m*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-19\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*i = 88, 5*c - 4*i - 63 = 91. Let n = -49 + c. Calculate the common denominator of -49\/16 and 83\/n*(-15)\/(-18).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + 8*v**3\/3 + 3*v**2 - v - 3. What are the prime factors of k(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzvzqlggwzll. Give prob of sequence lzz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68658796*i**2 + 159791067.\nAnswer: -137317592*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 19.5. Let n = -1.5 + h. Let r = -3 + 1. Which is bigger: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**4 - 4*v**3 + 2*v**2 - 3. Let r(o) = 20*o**4 - 17*o**3 + 8*o**2 - 11. Suppose -i - 9 + 3 = 0. Let l(h) = i*r(h) + 22*w(h). Factor l(m).\nAnswer: -2*m**2*(m - 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4947 is divided by 865?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21203*z**2 + 10416?\nAnswer: -42406*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)\/(u*u*u**(10\/7)\/u*u))**(9\/5) assuming u is positive.\nAnswer: u**(-1143\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**5 - 47*g**4*h**3 + 3*g**2*h**2 + 44*g*h**3 - h wrt g.\nAnswer: 240*g**2 - 1128*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzzrheg. Give prob of sequence zrhe.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -639.7941 to 0 dps.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 62 + 23 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (12*4\/(-8) - -5)*-5. Solve y - 8*m + b = -7*m, 2*y = -4*m + 26 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/6 + 2\/6. Let k = 7 - w. Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, s: 3, e: 3, w: 1, x: 2, l: 3}. Give prob of sequence wsse.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = 3. Let u be n*(-1)\/(-1) - -2. Let w(z) be the first derivative of -z**2 - 3*z + 6605. What is w(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15180124 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169305 + -81883. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3893*t - 9*t = 270*t + 32526 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0106712 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -9 (c) 13 (d) 2 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/119543? (a) -3 (b) -14\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -10, 50 = 2*g - f - 552. What is the highest common factor of 420 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 + 8*z - 6. Let t be r(6). Suppose -t = 3*v + 2*u, 4*v + 10 = 5*u + 25. What is the second derivative of -i**5 - 4*i + 5*i + v*i wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 242 - 121 - 124. Let b(z) = -z + 3. Let u(g) = -b(g) - 3*f(g). Let c be 0 - -5*(0 - 1). Let y(l) = -l - 5. Calculate c*u(w) - 6*y(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73583297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k = -1980. What is the highest common divisor of k and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 5 = -v, -2*v = 4*b - 74. Suppose b*w - 23 = 18*w. Calculate the highest common divisor of 253 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 9*i - 7. Let l be v(-8). Let t(z) = z + 1. Let q be t(-1). Put l, q, -2 in ascending order.\nAnswer: -2, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2. Let k(p) = -7*p**2 + 2*p + 2. Calculate -2*d(q) + k(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*-14*10\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*u + 1577 - 1733 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 10*b + 16. Let d be q(11). Suppose -10 = -0*w - 4*w - 2*v, -3*v + d = w. Suppose 40 = 5*g - g. Solve h + 2*l + g = 2*h, -l = -w*h + 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18482353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/3)*f)**(-5)\/(f**0)**(-31)*(f**(-1))**(-29)*(f**(-3\/7)\/f)\/f*f\/f**(3\/2)*f assuming f is positive.\nAnswer: f**(857\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g**2 - 18*g + 23. Is 33 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 3*r + 24, c + 9674*r - 16 = 9679*r for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - 0.41. Let z = i + 0.77. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 8:03 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 721815460 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055390445 rounded to seven decimal places?\nAnswer: -0.0000554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.5 + 5.1. Which is the closest to s? (a) 3\/4 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 4*c - 14. Let y(k) = -3*k**2 - 4*k + 12. Let u(j) = 4*n(j) + 5*y(j). Determine u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1))\/(-4)*-12. Suppose c + 1 = -s. Put -3, c, -5 in ascending order.\nAnswer: -5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, 497, 506, 515, 524, 533?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -2 + sqrt(891))*2 + 2.\nAnswer: -2 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/24*4\/(-2)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/14 + 10\/(-35). Let t(n) = n**2 - n - 9. Let d be t(y). Suppose 6*g + 25 = d*g. Calculate the remainder when 11 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3037792493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356532756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-4)*-1*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24537666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -104 - (-29 - 95 - -24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 1. Let y be m(-1). Let t be (-3)\/(-6)*6 - y. Let u = t - -2. Calculate the least common multiple of 2 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148502.\nAnswer: 2, 41, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -1.8. Let g = -0.03 + 3.03. Let w = g + j. What is the nearest to w in -1, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g - 1380 = -144*g - 249*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 37 = -b + 8*f + 6*f, 2*b + 10*b = 6*f + 138 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/47, -925, -2, 0.4, -1?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/122575021 or 0?\nAnswer: -2\/122575021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**6\/360 + x**5\/40 - x**4\/12 - x**3 - 8*x**2. Let l(z) be the first derivative of g(z). Factor l(i).\nAnswer: -(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 15. Let z(c) = 177*c + 80. What is -5*y(p) + z(p)?\nAnswer: 172*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -135. Calculate the least common multiple of 10 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300*-0.6.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Let z(t) = -2*t**2 - 4*t + 2. Let b(m) = 3*m**2 + 4*m - 2. Let o(n) = 3*b(n) + 4*z(n). Is o(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4.3. Let t = 1 - -1.5. Let a = -2.8 + t. What is the second smallest value in -2\/13, a, r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 54. Let w = h - -15.4. Round w to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 13*y - 47. Let r be w(11). Suppose 455*i + 628 = r*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -157 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 2 - (-4)\/2. Let s(p) = 1 + 4*p + w + 6*p. Calculate s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10379808 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.73 - -3.83. Is g smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 21. Suppose -o + p - 4 = 0. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*r**5 + 341*r - 342*r + 14*r**5 wrt r?\nAnswer: 540*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*m - 12, 0 = 8*f - 7*f - 5*m + 12 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5730 + -5730.2. What is the nearest to 1\/3 in 2\/41, 2\/11, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013053983 rounded to 5 decimal places?\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 4) to base 7\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose 3*b = 2*b. Factor 0 + a*h + 1\/2*h**3 + b*h**2.\nAnswer: h**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -186a9 - 2?\nAnswer: -18700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - (-92)\/12 - 10\/(-3). Solve x*k + 2 + 2 = m, 4*m = -20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1344571\/3 - 448189. Find l such that p*l**3 - 34\/3*l**4 + 0 - 4\/3*l + 34\/3*l**2 = 0.\nAnswer: -1, 0, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/30 + 554*p**2. Let f(o) = 27*o - 2. Let y(m) = 53*m - 5. Let x(d) = -5*f(d) + 2*y(d). Determine x(h(q)).\nAnswer: 58*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oahh when four letters picked without replacement from {a: 9, h: 5, o: 1, g: 5}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -8*f - 26. Let n(h) = -h**3 - 5*h**2 + 7*h + 9. Let t be n(-6). Sort 2, t, f in decreasing order.\nAnswer: t, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755\/40*9\/(7371\/91)?\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 3*m**2 - 3*m + 2. Let f = -3 + 6. Suppose f*h - 10 = -1. Let w = h - 0. What is x(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5375954 < -5375954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/45 and -137\/816255480?\nAnswer: 2448766440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = -3*h, 3*f = 2*h + 22. Suppose f*w - 10*w + 30 = 0. Suppose 0 = 4*p - p - a - 25, 2*a = -w*p + 49. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3\/7, 33, -0.2, 1044, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/9, 4\/11, -1\/5, 31, -3.\nAnswer: -3, -1\/5, 2\/9, 4\/11, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**3 + v**2 + v + 7. Determine p(-3).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*k**3 - 850*k**3 - 984*k**3 - 120*k**3 - 430*k**3.\nAnswer: -1793*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 2*d - 1685896. Let q be c(0). Let m be (6 - 3 - -2545891) + 2. Let v = q + m. What is v rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7257.\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353761447?\nAnswer: 13, 79, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -144. What is the smallest common multiple of 9 and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*s = 2 - 23, 0 = -3*x + 5*s - 20. Let b = 1928 + -1924. Put -2, 3, b, x in descending order.\nAnswer: b, 3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) 5 (c) -463\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -789992, -1579971, -2369942, -3159905, -3949860?\n\"Answer: 4*l**2 - 789991*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-76)\/(-19))\/(-8) - 20\/(-56). Suppose 0 = -2*o + 1 + 17. Let p be (o\/(-8))\/(3\/2). Sort j, 2\/11, p in ascending order.\nAnswer: p, j, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8399 - 464 + 32*a + 1286.\nAnswer: 32*a + 9221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 233 = 8. Suppose -162 = -3*b - k. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 12*x - 29. Let o be w(9). Let a be -3 + o\/8 + 90\/8. Let g = -7 + 15. Solve a + g = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5412691 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154260 and 1260?\nAnswer: 1079820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**4 + 0*g**2 + 2*g + 0*g + 0*g**2 wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*((sqrt(1088) + 1*sqrt(1088) - sqrt(1088)) + sqrt(1088)) + -5)**2 + (1*sqrt(1088))**2*-5 + -3*(sqrt(1088) + (4*sqrt(1088))**2).\nAnswer: 1000*sqrt(17) + 12032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*y = -210*y + 42. Suppose y*a - 84 = -7*a. What is the greatest common divisor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18395792515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23018?\nAnswer: 2, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7008270515 + 163362785737007\/23310. Let w be (4\/(-14))\/(369 - -1). Let o = a - w. What is the common denominator of o and 103\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 minutes before 6:03 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 3168a41 (base 11) to base 7\nAnswer: 65251024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -863645, 3, -3\/4, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -5 - 1 - -7) + -14 - 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7056601 and 1657091.\nAnswer: 628037489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -15 + 17 + -27\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/1*18\/(-15)*(-2975)\/2499\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*7\/28*(-2)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) -3 (c) 0 (d) 29 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1788 - 1748 - (151 - 6)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 * 2270.\nAnswer: 658.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8\/9)\/j*j**(-1\/29) assuming j is positive.\nAnswer: j**(-502\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -487*(5 + (0 - 36\/6)). Let f = h + -498. Let o(x) = 5*x + 1. Let y(v) = -v. Give f*y(g) - 2*o(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -145 in 0, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17201*c**4 - 1225*c**2 - 7231*c - 6678.\nAnswer: 206412*c**2 - 2450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10840 by -20.\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47714041 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1254)\/(-990) + 14\/(-10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/10*((-644)\/84)\/(-23). What is the closest to w in -19, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 14, 33, 72, 137, 234, 369?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 18 = -74. Let k be 1\/(g\/(-4) - 3). Suppose -3*r + 0*r + 461 = k*n, 3*r = 15. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 803 - 349. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c - 18*c - 6 + 6.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*s = -211221 + 101112 - 109601. Solve 0 = -s*u + 1276*u - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 divided by -6.\nAnswer: -107\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -43, 121, 465, 1049, 1933, 3177, 4841?\nAnswer: 6985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 172903493*z. Let a(w) = -2*w**2. Determine j(a(q)).\nAnswer: -345806986*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107067778 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15881.\nAnswer: 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1141832 and 3937166?\nAnswer: 834679192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2237*d + 1520 = -2229*d. Calculate the highest common factor of 150 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13497.\nAnswer: 3, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w + 7. Suppose -2*o - 17*t - 10 = -15*t, 0 = 5*o - 3*t + 33. Calculate s(o).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-4)*n)\/(n**(1\/6)*n*n))\/(n*n**(-1)\/n*n)**18)\/((n**(2\/11)*(n*n*n**(-2\/11))\/n)\/(n**3\/n**(3\/4))) assuming n is positive.\nAnswer: n**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvvkkkkvkkkvkkkkk. What is prob of picking 3 v and 1 k?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 174*v + 2. Let y(c) = -3*c**2 + 2*c. Give y(g(w)).\nAnswer: -90828*w**2 - 1740*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 19}. Give prob of picking 4 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2961 + 2921. Is -279\/7 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 minutes before 7:33 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 340, 517, 712, 931?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2284*t + 14 = 2277*t. Let o(h) = h. Give o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 0*u**2 + 0*u**2. Let l(x) be the third derivative of 0*x - x**2 - 1\/60*x**5 + 0 + 0*x**4 + 0*x**3. Give l(f(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150113?\nAnswer: 43, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93487 or 93486?\nAnswer: 93486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 718119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10544 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53540621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 474131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*k + 17, 0*w = 2*w - 2*k + 34. Let g = -13 - w. Solve t + i - g*i + 17 = 0, -3*t + 5*i = 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -679, -1000, -1303, -1582, -1831, -2044, -2215?\nAnswer: -2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*z = 26, 5*f = 3*f - z - 26. Let o = f - -15. Let i = o + 0. Which is greater: i or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a**2 - 7*a - 9. Let k(s) = 6*s**2 - 2*s - 3. Let p(l) = -2*g(l) + 7*k(l). Differentiate p(d) with respect to d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -39*x + 79*x + 2*x**2 + 18 - 28*x. Let d be n(-9). What is the remainder when (d + 1)*(0\/6 + 1) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3524 + -138.8?\nAnswer: -140.1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 15 = 5*c, 44*c - 41*c = -3*r + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74209.07 millennia to centuries.\nAnswer: 742090.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -105868, -105913, -105966, -106033, -106120, -106233, -106378, -106561?\n\"Answer: -g**3 + 2*g**2 - 44*g - 105825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 25*d**2 - 25*d + 36. List the prime factors of b(16).\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**2 + 2*w + 1. Let u(r) = -19*r**2 + 8*r + 7. Let i(s) = 5*l(s) - u(s). Let k(m) = 3*m - 3. Determine -6*i(b) + 4*k(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 3*n + 4, 5*n - 16 = -3*a. What is the units digit of 246\/a - (0\/1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4162 + 4161.9. Which is the closest to m? (a) 0.1 (b) 82 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3931 + -3932. What is the nearest to -2\/233 in 2, -5, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20803 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/4 + 7521*t**2\/4 - 75435*t\/4 + 188775\/4.\nAnswer: 3*(t - 5)**2*(t + 2517)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30 - 26) + 59)*(1239608\/3 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(512)).\nAnswer: -80*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 6*r. Suppose -1 = y - r, 2*y = 5*a - 152. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -158 + (3 - (-18)\/(-6)) + (0 - -1). Which is bigger: c or -1417\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/10 and -93\/2020.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 - 7*l**2 - 7*l + 8. Let t(p) = p**3 + 1. Let k(x) = x**3 - 6*x**2 - 6*x + 12. Let b(g) = -k(g) + 5*t(g). Give -7*b(h) - 6*y(h).\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/3 + 5620*a**4\/3 - 97558*a**3\/3 - 9766228*a**2\/3 - 37307545*a = 0. What is a?\nAnswer: -5637, -19, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -5*k - 5*v + 3 + 195, -5*v - 24 = -k for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96642497 is divided by 500?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -371235411 divided by -3?\nAnswer: 123745137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217\/8 + -27. Let v be 22\/18 + 2\/(-9). Let n be (-2)\/(-10)*2\/v. Sort a, 5, n in increasing order.\nAnswer: a, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -9*c**2 + 0*c - 1\/160*c**6 - 1\/120*c**5 + 0 + 1\/8*c**4 + 1\/3*c**3. Factor i(y).\nAnswer: -(y - 2)*(y + 2)*(3*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 8*o**2 - 7*o - 3. Let r be h(7). Let a = -561 - -678. Let s = r + a. Calculate the remainder when 63 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 49 = 0, 314*h + 329*h - 3*n = 647*h - 6*n - 25 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770, 765, 754, 737, 714, 685, 650?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 5\/21, -27 in decreasing order.\nAnswer: 39, 5\/21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:01 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -88. Is (42\/(-30) - d\/(-10)) + 3272 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2, 4, 0.3, 5.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2123 = s + 2140, -s = 3*d + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 3*d**2 + d - 4. Let h be v(3). Let b = h + 4\/5. What is the second smallest value in -1, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 1 + 1)*(-5*u**3 + 0*u**3 + u**3) + 3 + u**4 - 3 + u**3 - u**3 + 3*u**4 as y*u**4 + x + h*u**2 + k*u + t*u**3 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1f18?\nAnswer: -1f1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 420\/37?\nAnswer: 420\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -716?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*r + 4 = -2*j - 121*r, -19*j - 4*r - 140 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 minus 25?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 67 and -58\/49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eaet.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6069, -4\/7, -3 in descending order.\nAnswer: 6069, -4\/7, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**10*l*l\/((l**(-6)\/l)\/l*l*l)*(l\/l**2)**(2\/37) assuming l is positive.\nAnswer: l**(664\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -2. Let h = 20 + -13. Let w = h + z. Is 3 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = f - 5, -44*c + 41*c + 2*f = 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssseeee. What is prob of picking 2 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3\/4, -2\/91 in descending order.\nAnswer: 3\/4, -2\/91, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 588 - 30*n + 31*n - 460 + n**2 to the form c*n**2 + y*n + v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - (-25 + 74) - (13 - -63 - (3 + 1)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -101860 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5280000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**15*f*f*f**2\/f*f)**(1\/22) assuming f is positive.\nAnswer: f**(19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x. Suppose 3 = w - x*w. What is the second derivative of 3*v**2 + 2*v - 3*v**2 + 4*v**3 - 3*v**w wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t. Let d(g) = -23*g**2 - 308*g - 1. What is d(v(z))?\nAnswer: -207*z**2 - 924*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 375 divided by -3\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x - 3\/2*x**2 - 7\/240*x**5 + 1\/12*x**3 + 5\/96*x**4 - 2. Let y(u) be the second derivative of p(u). Factor y(l).\nAnswer: -(l - 1)*(7*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/5)\/((-8)\/(-380)) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4012 divided by 68\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {i: 2, f: 4, b: 1, g: 2, u: 3, x: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 63, 12, 2\/23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8497 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -62*a**3 - 13 + 31*a**3 + 32*a**3. Calculate o(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 0*w - 7*w - o = -51, -w - 4*w = -5*o + 75 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Let l = 719\/65 + -97\/13. Is a <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7623)*3)\/((sqrt(576) - -4*sqrt(576)*-6) + sqrt(576)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -411.51882 less than -774?\nAnswer: -362.48118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.59 + -0.09. Put 5\/2, z, 1\/6 in decreasing order.\nAnswer: 5\/2, z, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085608 is divided by 5050.\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {a: 9, v: 2, y: 2, t: 3, m: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 301, 602, 903?\n\"Answer: 301*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 569538 and 8586?\nAnswer: 1708614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 14) + 8 - (-4 - 1 - 7)) + 49\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333 + 333.3. Which is the second smallest value? (a) o (b) 4 (c) 0.03 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21253)\/(-15) - (428\/(-60) - -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*t - 282. Suppose 48*y + 1096 = 4*n + 44*y, -n + t = 3*y. What are the prime factors of n?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 2*n - 15 - 3*n - n**2. What is the tens digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25211355 is divided by 131.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2298.4 - 1452. Let k = -846 + f. Let h = -4 + 8. Is h greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from wnknsnnkntntfss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.07 - 0.292. Let z = b - 0.6562. What is z rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2\/7, 0.05, 0, 120, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-225)\/(0 + -5). What is the greatest common divisor of y and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16387329.\nAnswer: 3, 7, 19, 67, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807 divided by 401?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-112*b + 50*b + 0*b - 5)*(-6 + 3 + 1).\nAnswer: 248*b + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 + 4\/(-8)*-8. Let n be (-2)\/v + (-3069)\/(-44). Suppose 0 = -0*k - 5*k + n. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 49 - (0 - 19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144437 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -y + 92, -4*y + 5*l = 4*l - 326. Let s = y + -51. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-1 - 5 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963859 is divided by 103.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-12)*j*j\/(j*j\/(j\/j**(-15)))*j)\/(j**(11\/4)*(j\/j**22)\/j) assuming j is positive.\nAnswer: j**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in -2338, 0.2, 48?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 302490 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -10*u**4 - 414152*u**3 - 1325122*u**2 + 2567628*u + 3478608 = 0.\nAnswer: -41412, -21\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116962, -470331, -1059280, -1883809?\nAnswer: -2943918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 - 94. Let r be (-463)\/(-5) + 16\/o. Suppose 4*k - g - 55 = 0, 5*k + 13 = 5*g + r. Calculate the remainder when 36 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6762648?\nAnswer: 2, 3, 281777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 6 (c) 5\/4 (d) -5202 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1072840.8us to minutes.\nAnswer: 0.01788068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.06.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/((-5355)\/255*(-1)\/(-60)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**3 - 21*t**2 - 8*t - 12. Let l be k(4). Suppose h**2 + 1\/3*h**l + 1\/3*h + 0 + h**3 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 5)*(2 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75127.77g to tonnes.\nAnswer: 0.07512777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (869*-2)\/(12 - 13) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - (-8 - (29 - (105 - -6))).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 131*o + 1657. Determine r(-8).\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92.4 - 105. Let w = z - -13. What is the smallest value in 1, w, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3265 divided by -653?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 95820683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + f**2 + 3*f - 3. Let k(a) = 8*a**3 + 43*a**2 - 14*a + 26. Give 6*g(b) + k(b).\nAnswer: 2*b**3 + 49*b**2 + 4*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - 73*s**2 - 22*s + 52. Let h be w(-24). Solve -7 = 5*u - 2*u - 5*o, -4*u = h*o - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13052.\nAnswer: 2, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5172992 rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-15)*(5 - -1). Is 3067\/(-1)*(s - (7 - 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -16)*(-1)\/(-4)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8275668.\nAnswer: 2, 3, 17, 113, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/91 + -288\/455. Which is smaller: 0.04 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -959455487?\nAnswer: 959455487.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.851 + -151?\nAnswer: -89.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2753344029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*g = -2830, 5*g = 2*k + 20 - 1131. Let h = 1301 - k. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 624492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 q when four letters picked without replacement from {c: 6, f: 10, q: 4}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116.99 - -119. Let j = -2 + h. Let y = 3.01 - j. What is the third biggest value in 2\/5, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 8. What is l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-138)\/483 - 480\/(-14). What is the highest common factor of 578 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -26*(-2)\/(-16)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52740 * 0.2\nAnswer: 10548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 1. Let f(q) be the third derivative of -q**2 + 0 + 2\/3*q**3 + 0*q + 1\/12*q**5 + 0*q**4. Give 2*f(g) - 9*i(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 7. Is 19 a factor of i(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65524065 to the power of 1\/2, to the nearest integer?\nAnswer: 8095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/359?\nAnswer: -8\/359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 419 - 421. Let z be 3*v\/2 - -7. Put 1\/4, z, 1\/28 in decreasing order.\nAnswer: z, 1\/4, 1\/28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + (1 - (3 + -6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - n = -38938, u - 2*n - 2075 = 7655. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 14*s**5 - 3266*s**4 + 10634*s**3 - 12446*s**2 + 5984*s - 920 = 0.\nAnswer: 2\/7, 1, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) -2\/9 (b) 17 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 1 + 2\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4664*d**3 + 132*d**2 - 264. Let o(r) = -176*r**3 + 5*r**2 - 10. What is -132*o(c) + 5*u(c)?\nAnswer: -88*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1120\/91 + (-92 - -80)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1115 (c) -10 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssb when three letters picked without replacement from {b: 5, d: 3, s: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*w - 10. Let x(t) = -t**3 - 5*t**2 - 4*t + 6. Let f be x(-3). Solve -4*p = 16, -m - w*m - 2*p - 5 = f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9703 = -3*q - 17*q - 9623 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**3 - 6911648*t**2 = 0. Calculate t.\nAnswer: -1727912, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/4, -4, -5 in descending order.\nAnswer: 3, 3\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35901281 and 215407686?\nAnswer: 215407686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + q + 2. Suppose 2 + 6 = -4*x. Let m(f) = -8*f**2 - 3*f - 5. Suppose 2*t + 7 = -3. Let z be (-2)\/(2\/(-3)*3\/t). What is x*m(s) + z*u(s)?\nAnswer: -4*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 v when four letters picked without replacement from tvvvvvvvvtvvtvvv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 - 18*y**3 - 24*y**2 = 0. Calculate y.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -2 + -4)*1. Let p be -6*(30\/9)\/m. Suppose 4*y - p*v = v + 45, 2*y = -v + 19. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10470 is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(194\/364 - (-32)\/(-56)). Let v = -91 + g. Which is smaller: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 60792. Let f be s\/8 + (-2)\/(-8). Round f to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + (-2)\/((-20)\/(-286425)). Let z = 64182 + a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 2*b + 2*b)*(-4*b**3 + 7*b**3 - 2*b + 4*b).\nAnswer: 12*b**5 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 5*d + 2. Let z be v(5). Suppose 0 = -g + z*g - 3. Solve -g*x + 3*s = -s + 10, 5*x - 14 = -s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1088*t + 1093*t - 545 = 0. Suppose -126*m + 6936 = -t*m. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 485\/80)*-4. Put y, 2\/9, -2\/3 in ascending order.\nAnswer: -2\/3, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 11, -2\/11, -6\/265, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6954469 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:27 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -x - 28. Suppose 0 = 5*b + 4*z - 13, 5*z = b + 3*z - 11. Sort x, -1, b.\nAnswer: -1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 44005968?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -528 - -66455?\nAnswer: 65826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57\/5 - -11. Let d = -2 - 8. Let s = d - -5. Put 1, s, w in ascending order.\nAnswer: s, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/362831 and 3\/5117?\nAnswer: 15601733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -11*w**8\/336 - 5*w**4\/24 - 21*w**2. What is the second derivative of k(v) wrt v?\nAnswer: -220*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 17 - 217. What is the greatest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2429 - -2429.0002445. Round s to 6 decimal places.\nAnswer: 0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 2*q - 4 + q**3 - 4*q - 3*q**2 - q. What is x(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 5*q**2 + 2*q - 2. Suppose -3*s + 130 = 10. Suppose f = -f + s. Calculate the least common multiple of f and l(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 640*y**2 + 30*y**3 - 9 + 640*y**2 wrt y.\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -358 and -14904012455.\nAnswer: -14904012813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13916643 and 1014.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29\/4 + -119\/16. What is the common denominator of -13\/20 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 79992*w**3 - w**2 + 758868*w**3.\nAnswer: 678876*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 8:35 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54554637.\nAnswer: 3, 31, 586609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220415 is divided by 224.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.806 * -51.\nAnswer: 653.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1493846602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -11622, 4, -15 in descending order.\nAnswer: 6, 4, -15, -11622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -38*l + 170460. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 10*i + 90 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 2*l + 2, 0 = -0*s + s + 2*l + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*n - 7 + 22 = 0, 3*d + 9 = -5*n. Let p = d - -7. What is the tens digit of 4\/(p + 0) + 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*p - 5224 = -5295, 0 = -5*a + 12*p - 223 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and -89?\nAnswer: -240.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170 + 182. Let i(f) = -f**2 + 12*f + 8. Does 2 divide i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -234*o + 5379. Calculate c(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/905329482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 234, 276, 318, 360, 402, 444?\n\"Answer: 42*t + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - n - 2 = -7, 0 = o + n - 2. Suppose g - 4*r = 8, -4*g + 3*r = -o - 16. Find the second derivative of 5*i - g*i - 9*i - 5*i - 7*i**3 wrt i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350496020.\nAnswer: 2, 5, 7, 357649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109391547?\nAnswer: 3, 1723, 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 41 + 3. Suppose -n + 3*q - 432 = -z*n, -4*q = 0. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 56. Let i be (-2)\/2*((-17)\/(-3) + a). What is the closest to 1 in i, -2, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 28\/(-2)*5. Let n be (1 + -5)\/(2\/(-3)). Suppose 55 = 5*j - 2*y - 3*y, 3*y = -n. What is the highest common factor of g and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1470, -857, -246, 363, 970, 1575?\n\"Answer: -x**2 + 616*x - 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*u + 5 - 1, -4*p = 16. Suppose u = -2*t + 18 + 8. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -806592.64 rounded to the nearest one hundred?\nAnswer: -806600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/27*21\/(-7). Let b be ((-8)\/(-6))\/(2\/9). What is the closest to x in 2, b, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) -1 (c) 10.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 16 + 7 = 0. Solve -n*c = 2 - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1296*y**3\/5 + 2304*y**2\/5 + 1204*y\/5 + 196\/5.\nAnswer: 4*(y + 1)*(18*y + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h. Suppose 5*a + 9 - 59 = h. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:58 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 9. Suppose -107 = -3*u - 0*h + 4*h, l = u - 2*h. Suppose 3*c - 5*b - 77 = 32, -2*b - u = -c. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361977 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 64*b - 64. Determine q(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 23 + 3 = 0. Let l(t) = 93*t + 9. List the prime factors of l(c).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 9) to base 13.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-2.189\nAnswer: -0.02189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 17*b**2 - 73*b + 270. Give j(7).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273\/5 >= 256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10555\/3262 - 1\/(-2). Let m = l + -5\/233. Find the common denominator of 7\/3 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10439 is divided by 1170.\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-4*p**2 + 4*p**2 + 2*p**2) + 258*p + 24*p**2 - 258*p + (5 - 5*p - 5)*(-2*p + 5*p + 2*p) + 3 - 3 + 2*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 7*n**2 + 2*n - 7. Let w be 6\/(-15) - (-111)\/15. Let k be s(w). Suppose k*r - 15 = 4*r. Solve -2*l - 10 = -2*i - 26, r*l = -5*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -652 + 651. Put 5, n, -10.4 in decreasing order.\nAnswer: 5, n, -10.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -9 + 1 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-394)\/(-6) - (-1)\/(-12)*-4. Let v = d - 66. Solve y - i - 2 + 0 = v, 17 = -5*y - 4*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 - ((-8 - -22) + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -99. Let h = p - 26. Let o be (-2)\/h*7\/((-49)\/(-3)). What is the smallest value in -1\/2, 0.1, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -0.1 (c) 0.9 (d) 3 (e) -2735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 30, 47, 82, 141, 230, 355, 522?\n\"Answer: g**3 - 2*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*o - 27 = -92*o + l, 4*o = -3*l - 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 74300 divided by -18575\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 144. Let f = k - -255. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 12080.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpw. What is prob of picking 1 p and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983149.\nAnswer: 983149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(11\/(11\/3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -6. Suppose 0 = 2*o + 3*r - i - 2, 0 = -2*o + 4*r + 46. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 18 + 38 = 0. Let d = k - 386\/7. Let b = -278 - -280. Put 2\/11, d, b, 0.2 in descending order.\nAnswer: b, d, 0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/3 + -3*(-8)\/30.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10187134*d + d**3 - 8*d**3 - 10187134*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81648448 is divided by 170.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c2 - -216?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j = d - 6, -4*j + 2*d - 4 = 0. Let s(l) = -2*l - 2. Calculate the least common multiple of (j\/(-6))\/((-2)\/(-36)) and s(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368, 1864, 4368, 7880, 12400, 17928, 24464?\nAnswer: 32008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/15 (b) -0.01921 (c) 0.4 (d) -2 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fieeeiejfzeezezeeee. Give prob of sequence ie.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 15*g**2 + 84*g**2 + 5*g**2.\nAnswer: 109*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 4*t**2 - 3*t - 2. Let a be l(-5). Let s = 290583\/7532 - 9\/1076. Let v = s - a. What is the second smallest value in v, 2\/7, 1.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(7*c**2 - 387*c - 2 - c**2 + 390*c).\nAnswer: 6*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by -608.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4131 - -214?\nAnswer: 4345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*r)*(3*r**2 - 3*r**2 + 2*r**3) - 588*r**3 - r - 16 + 588*r**3 + r**2 + r**4.\nAnswer: 5*r**4 + r**2 - r - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070832 less than 905?\nAnswer: 904.9929168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*d - 5 = 0, -10*w + 9*w - 1 = 2*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from eekekk?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*x - 16. Suppose 9 + 21 = x*m. Calculate the smallest common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 12 = -3*u, 5*u - 2*u - 11 = -4*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**2 + 2*h. Let r(n) = -n**2 - 5*n + 8. Let u be r(-6). Let p be j(u). Suppose 4*d = -0*d + p. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:03 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 2560*b**2 - 4*b - 2560.\nAnswer: 4*(b - 1)*(b + 1)*(b + 640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 547113634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssfffs. What is prob of picking 1 s and 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 11*g - 21. Give p(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50727 and 2285?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (40 + -24 + -73) - 18.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 154407168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4284\/8569?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.69 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8, -0.011, 2.67?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**3 - 264*r**2 - 280*r - 251. What is the remainder when m(-65) is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -8. What is the tens digit of 2 + 160\/4 + k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 2*a + 0*a)*(4 - 1 - 1)*(1 - 3 + 0) to the form s*a + d and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1 - 3*l**2 + 17*l**2 + 2. What is the units digit of a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1962*p**2 - 1969*p**2 + p + 4*p. Let x(z) = -32*z + 56*z**2 + 29*z - 53*z**2. Give 6*i(r) + 10*x(r).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 5*u - 464 = 0. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 954 (c) -0.1 (d) 0 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.5 (b) 0 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:06 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 12. What is the units digit of -18*1\/m - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3351026 and 143168.\nAnswer: 4474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtovts. What is prob of sequence os?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) 18 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 4*g - 11*x - 60, 0 = -4*g - 5*x + 105. Solve f - 16 = -g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -386, -735, -1054, -1343?\n\"Answer: 15*p**2 - 394*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189582 is divided by 63189.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 350*j - 1. Let l(c) = -3*c. What is w(l(t))?\nAnswer: -1050*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3251 + 5597. Is z a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 438, 993, 1764, 2751, 3954, 5373?\nAnswer: 7008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/36)\/((-504)\/(-162))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - (-2 - (0 + 3))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 4*n**2 - 5*n - 1. Suppose -3*k + 0*k = -63. Suppose -19 = 4*y + k. Let r = y - -15. Determine d(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182327468 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 113488*x**2 + 113488*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168620 + 170180 = -65*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/96 + z**5\/2 + 10*z**4 + 320*z**3\/3 - 2*z**2 - 8. Factor k(q).\nAnswer: 5*(q + 8)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -73.\nAnswer: 13\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:46 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 13*x - 13. Let m be r(12). Which is smaller: 1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-22)\/3 + -1)*-3 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 33*x - 7)*((-5*x**2 + 4*x**2 - x**2)*(0 + 0 - 2*x) + 3*x**3 - 1 + 1) in the form z + s*x**3 + f*x + r*x**4 + c*x**2 and give r.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -61 + 0 + -1 + (3295 - 3285)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 6, -2*m + 65 = 4*s + 469. Let q = s - -143. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*w + w. Suppose w*g = -2 + 10. Let y(u) = 3*u**g + 0*u**2 + 3*u**2 - 3*u**2. Let l(s) = 3*s**2. Give y(l(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 23*h**2 - 39*h + 265. Calculate i(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*a**5*b - 6515*a**4*b**3 - 756447*a*b**3 wrt a?\nAnswer: 340*a**3*b - 78180*a**2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -4*q - 5*u, 8650*u - 8654*u - 91 = -7*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4978987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117\/35 - 114\/35. Let m = 4\/1763 + -51163\/15867. Find the common denominator of c and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3\/8 - 471*l**2\/8 + 465*l\/4 = 0.\nAnswer: 0, 2, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5347*x + 64140. Determine s(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*a**2 + 136*a**2 + 117*a**2 + 166*a**2 - 216*a**5 - 70*a**5 wrt a.\nAnswer: -17160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35415288 = 4*l - l. Let s = -6805096 - l. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78366 > -78362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -4 - 2) + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 2*s**3 + 4*s**3 + s**3.\nAnswer: 7*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6778 = 33*b - 6613 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 731332?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = 0. Let q be -4 + (o - -1 - 1). Let z = 6 + q. What is the remainder when 3 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0 - 23) + -131 + 103\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234200 (base 5) to base 15.\nAnswer: -2885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 11:20 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 2. Let y(l) = -7*l - 5. Suppose -14 = -k - 4. Let d(z) = k*j(z) - 4*y(z). Let g(t) = -39*t**2. Calculate g(d(b)).\nAnswer: -156*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 19, -1, 0 in increasing order.\nAnswer: -3, -1, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 3*v**2 - 4*v**2)*(-11*v + 46 - 46)*((-2*v - 3*v + 4*v)*(1 - 1 + 1) - v + 41 - 41).\nAnswer: -22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - 47 - 276 - 71)*(h**2 + h**2 + 0*h**2).\nAnswer: -636*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 20*y**2 - 7*y - 24. What are the prime factors of o(-5)?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let d be (-5 + 3)*u\/2. Suppose 0 = -d*o + i + 2 + 40, -5*i = -4*o + 56. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**5 - 852667*x**3 - 9929066*x.\nAnswer: -40*x**3 - 5116002*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122458 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -19 - (-4 + -1 + -5 - -3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 193 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:39 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3627 + 4418 + 1174 + 2602)*(-2 - 2*z**2 + 2).\nAnswer: -23642*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4009 + 10605?\nAnswer: 14612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 80*l**2 + 39*l + 88. Let g(i) = 27*i**2 + 1. Let r(n) = 3*g(n) - h(n). Give r(41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + n + 4. Let y be d(0). Suppose -3*o - y*z = -8*o + 170, -o = -2*z - 34. Suppose -u - 4*f + o = 1, -5*u - 2*f = -75. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-12 + 11 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2*u - 9*s**2 - 2*s*u + 294950*u - 4709 wrt u.\nAnswer: -2*s**2 - 2*s + 294950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 5*m**2 - 6*m - 1. Suppose -5*n + 10 = -5. Let t be -1*(-5 - (-2 + n)). Suppose c = -0*c + t. Determine s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*d - 0*d - 2390, 1596 = 2*j + 2*d. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 2*s + 3. Let p = 6 + -8. Let w(l) = 3*l + 7*l - 13*l**2 - 11 - l. Let a(t) = p*w(t) - 9*g(t). Determine a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/120)\/(((19\/76)\/((-1)\/4))\/11).\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 20*m**2 + 4*m + 7. Let b be n(20). Suppose -5*j + 159 = -596. Let u be (j - 6)*4\/10. Calculate the greatest common divisor of b and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from fwvyaww.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 4*x + 4. Let k(t) = -t**2 - 3*t + 3. Let v(b) = 4*k(b) - 3*o(b). Let q(l) = 4*l - 17*l - 12*l. Determine q(v(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26\/33 - -21\/22. Sort x, -2\/9, 1\/3, -3\/8.\nAnswer: -3\/8, -2\/9, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 78*v + 468. Let m be a(-6). Solve m = -9*h - 0*h + 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 82. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13265588*p**3 - 1543*p**2 - 2*p - 105 wrt p.\nAnswer: -79593528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3cc7 - 39?\nAnswer: 3c8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x. Let g = 11 - 9. Let c(u) = -5 - u + g*u + 5. Give k(c(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-10)\/s)\/s)\/s)**9\/(s**7)**(-2\/67) assuming s is positive.\nAnswer: s**(-7825\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -491288 - -337514791\/687. Find the common denominator of s and -41\/4.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-49) - 66\/14) + (-350)\/(-700).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -577 + -62. Let m = -7021\/11 - h. What is the common denominator of -95\/2 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115.9 and 3.\nAnswer: -112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20844 is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and 29\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21 - 17*h**2 + 10*h**2 + 14*h**2. What are the prime factors of f(6)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -457\/455 - -29\/91. Let x = -29\/33 + 1037\/1155. Let h = t + x. Sort 5, h, -0.3.\nAnswer: h, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/4 + (-375)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1568\/1327 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 + 22*v + 69. Let r(k) = 6*k**2 - 26*k - 73. Let w(u) = 7*q(u) + 6*r(u). What is w(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37179\/(-107406))\/(3\/(-234))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -47?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 66 = -3*q. Suppose -4*w + 3*a = -118, -5*a = -w - 0*w + q. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 12, -6, -42, -102, -192, -318, -486?\n\"Answer: -r**3 + r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 403 and 10.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (-6 - 0))\/((-4)\/550). Let w be h\/(-375) - (-3)\/5. Determine c so that c**3 - 4\/3*c + w*c**2 + 0 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*k + 1 - 1 in the form m + f*k and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**4\/4 + 10*r**3\/3 - 9*r**2 + 15*r + 22. Let g be a(8). Is -2\/111 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -235*y + 1500. Let u be c(6). Calculate the highest common factor of 870 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34599553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f**2 + 27. Let r be (-2)\/(-8) + 12\/(-48). Is k(r) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3976, 31794, 107298, 254332, 496740, 858366?\nAnswer: 1363054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -844 + 847. Let p(s) = -30*s + 85. What is p(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -2\/3*v**3 + 0 + 18*v - 2*v**2 + 1\/5*v**5 + 1\/3*v**4. Determine n so that u(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3*a - 2*a**2 + 7*a - 3)*(-93*a**2 + 6*a**2 + 16*a**2) to the form b*a**4 + z + t*a**2 + s*a + h*a**3 and give h.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4127*j**2 + 50*j**3 - 4140*j**2 - 48*j**3)*(2 - 1 - 2)*(2*j**2 + 2*j - 2*j).\nAnswer: -4*j**5 + 26*j**4 + 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -38803, -22.\nAnswer: -38803, -22, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13*z**3 + 28*z**2 - 7*z. Let y(r) be the first derivative of -9*r**4\/4 - 19*r**3\/3 + 5*r**2\/2 + 3103. Calculate -5*x(q) - 7*y(q).\nAnswer: -2*q**3 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/850*4)\/(3\/(-15)). Which is the second smallest value? (a) -4\/7 (b) -177 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**5\/270 + n**4\/36 - 2*n**3\/27 + 3*n**2\/2 + 6. Let l(x) be the second derivative of k(x). Factor l(o).\nAnswer: -2*(o - 2)*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 3*f + 0*f)*(0*f**4 + 0*f**4 - f**4 + (f - 2*f**2 - f)*(2*f**2 + 0*f**2 + 0*f**2) - 126*f**4 + 50076*f**2 - 50076*f**2).\nAnswer: 131*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -28 - 11 + 4*s + 2*s + 30. Let l(r) = r + 4. Let b(g) = -g - 3. Let x(z) = 5*b(z) + 4*l(z). What is -i(c) - 9*x(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -420 - -2119\/5. Put i, -1, -1\/2 in descending order.\nAnswer: i, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72290342*u**2*x - 101120810*x + 2 with respect to u.\nAnswer: -144580684*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 88320949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -14045285.8734735.\nAnswer: -14045286.1734735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -2\/7, 4, 3 in descending order.\nAnswer: 4, 3, 1\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5 + (-112)\/240. Suppose -6 = 4*q - 0*q - 2*s, 4*q = -2*s - 18. Which is the biggest value? (a) q (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47436?\nAnswer: 2, 3, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 16. Suppose -s = -4*z + 22, -3*s - 24 = -5*z - 0. Calculate the least common multiple of z and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97 in -15, -4\/7, -1\/4, -0.03, 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1030 - 601. List the prime factors of x.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -37. Suppose 2*w - 205 = 3*g, 395 = -s*w + 6*w - 3*g. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -7 - 1. Let a be u + 9\/(-3) + 8. Put 5, a, 4 in descending order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 6, s: 1, b: 1}. What is prob of sequence nz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 x when three letters picked without replacement from zfzjfxxxxz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0748 + -1.0728. Let f = r - 0.102. Sort -2, f, -3 in increasing order.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + 21 + 21 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1422*u - 2807. Calculate b(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*l - 422, -29*l = -33*l - 12. Does 42 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36751 and 151233706?\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - h - 1. Let x(z) = 6*z**2 + 9*z + 5. Let d(q) = -5*p(q) - x(q). Factor d(w).\nAnswer: -w*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90589205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278997 is divided by 55798.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away -0.0155?\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 1151 = -1187 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t + 1. Let n = -465 - -483. What is the remainder when n is divided by l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40791270?\nAnswer: 2, 3, 5, 13, 104593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1438*1.\nAnswer: -1438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1.14, -38.\nAnswer: -38, 2\/5, 1.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*l - 467, -2*l - 241 - 71 = -2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36812070 and 264.\nAnswer: 1619731080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -537 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 3. Let j(w) = 9*w + 24. Determine 5*i(u) + j(u).\nAnswer: 14*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*z - 34*z - 87*z**3)*(-6 + 5 + 2) + 173*z**3 - 23*z**2 - 20*z**2 - 19*z**2 + 62*z**2.\nAnswer: 86*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 116? (a) -0.4 (b) 0.4 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0405 - -0.8595. What is the nearest to 1 in t, -11, 2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (1 + 1)*1. Sort 5, 1, t in descending order.\nAnswer: 5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217525068 a multiple of 1210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 26. List the prime factors of (a\/2)\/((-1)\/148).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-16) + 1*2. Suppose 2*v + 71 = 6*v - z, b = 2*v + z - 43. Solve -a = -4*s - v, -6 = s + 2*a - a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4871984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3 + (-832)\/276) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3))**(50\/7) assuming q is positive.\nAnswer: q**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.11 + -5.11. Which is the second smallest value? (a) -0.9 (b) -6 (c) x (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2373\/10 + -237. Let w = -5 + 10. What is the biggest value in m, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0184395 to 4 dps.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + -4604aa?\nAnswer: -460515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23179, -3, -6 in descending order.\nAnswer: -3, -6, -23179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:58 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3742919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163451756*g**3*v**3 - 134*g**3*v**2 + 568556*g**2 + g*v**2 wrt v?\nAnswer: -980710536*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -654, -1171, -1688, -2205, -2722, -3239?\nAnswer: -3756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+-2.0484\nAnswer: -1.8884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*t = 37510, 3*m - 5*t - 17764 = 4742. What are the prime factors of m?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.35 and 67.\nAnswer: 23.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003 - 22030?\nAnswer: -21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + 21. Let u = -49 + l. Suppose u = 2*w + w. Calculate the smallest common multiple of w and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1934282, 3868569, 5802852, 7737131, 9671406, 11605677?\nAnswer: 13539944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 - 5445\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u + 10. Let h(l) = 4*l + 3. Let q(n) = 10*h(n) - 3*t(n). Let c(y) be the second derivative of -y**3\/3 + 9*y. Determine q(c(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 - 1074*h\/7 + 3249\/7.\nAnswer: -3*(h - 3)*(h + 361)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*g - 4. Let h be g\/(-4) - (-10)\/(-8). Let s be ((-3)\/(-36))\/((-3)\/(-27)). Which is the closest to -2\/3? (a) h (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-2)\/(-3)) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:15 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5316 - 5355.208. Let k = -69 - -30. Let j = k - o. Round j to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (-77738)\/(-16) + 3\/8 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - c)*(2*c - 2*c - c)*(2 + 8 + 1).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 66*p + 1. Let a(v) = -67*v - 1. What is 4*a(x) + 5*i(x)?\nAnswer: 62*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (23*(-1 + 3))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -136.73 and -0.3.\nAnswer: 41.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 80255\/7 - 3*(-6 + 5). Calculate the highest common factor of 77 and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.086 - -592282487.\nAnswer: 592282485.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r + 2. Let s(n) = -n - 1. Give -2*s(h) - u(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2414, -4807, -7198, -9587, -11974, -14359?\nAnswer: -16742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/21 - (-114)\/42. Let o be 20\/30 - 2\/g. Suppose -3*n + 57 = -o*n. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 9 = -w. Find the second derivative of -9*x**2 + 12*x**2 + 4*x + 0*x**4 + w - 47*x - 5*x**2 - 31*x**4 wrt x.\nAnswer: -372*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - -599. Suppose 5*m = n + s, -3*m - 2*n + 406 = -0*m. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + 0.87. Let i = 0.2 - 0.4. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192819228 and 224955766?\nAnswer: 1349734596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215788640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/4 (b) -1 (c) 6\/61 (d) 10 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101101010000111 (base 2) to base 4.\nAnswer: 2311222013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**18*i)\/(i**(-2\/41)*i)*i**(-10)*i**9\/i assuming i is positive.\nAnswer: i**(658\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 5)*(-4 + 2*i + 4) - 1 - 1 - 2*i - 1)*(-58 + 13 + 11).\nAnswer: 340*i + 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1635 divided by -545?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 753858.2 decades in years?\nAnswer: 7538582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2.8, -0.9, -2\/11, 248, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14127 (base 11) to base 4\nAnswer: 10322103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3983*o - 55719. Give n(14).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2822 and 61\/5395.\nAnswer: 183430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 i when four letters picked without replacement from oiiioo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/24 in 124.7, -5, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1058\/11 - 96. Sort h, 4, 1, -25 in increasing order.\nAnswer: -25, h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - 1)*(-25431)\/33908?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/6 - 4*v**2\/3 + 5999*v\/6 + 7007 = 0. What is v?\nAnswer: -78, -7, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*j - 2722 - 10590 = 13596 - 5083 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 15*j - 54. Let c be w(6). Put 2, -4, 7, c in descending order.\nAnswer: 7, 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*p - p - 5, -3*p - 1 = 2*t. Suppose -193*d = -195*d + 4*r - 24, 5*d = 3*r - 4. Put -12, t, d in increasing order.\nAnswer: -12, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 2 + 7*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*l = 3*j + 16, -2*j = -4*l - 16. Suppose -4 = -j*a - a. Suppose x - 5*r - 9 = 0, r = -x + a*x + 15. Let b(u) = -u**2 - 4*u + 5. What is b(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 + 0*g**2 - 2*g**2 - 11*g**2 + 8*g**2 - 19*g**2 - g + g + 2*g**2 + (-4*g + 5*g + g)*(2*g + 0 + 0) in the form a + i*g + n*g**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*j + 157 - 156, -5*j = 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32353 is divided by 32303?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3601 - (0 - (-2 + 1)). What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t + 5. Let q(x) = 35*x + 5. Suppose -12 = 3*h - 5*p - 35, 4*p + 4 = 0. Let z(a) = -6*a - 1. Let y(o) = h*z(o) + q(o). What is j(b) + 5*y(b)?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (((-480)\/88)\/10 - 138\/(-11))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15476 - -216575\/14. Calculate the common denominator of w and (1 + 1)\/((-152)\/53).\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -7 - -3) + -2 + 11 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/6 + -4*(-6)\/(-36). Let t be 2 + 0 - (-1 - d). Is t smaller than 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21666, -29 in decreasing order.\nAnswer: 5, -29, -21666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/(-11))\/(((-60)\/(-11))\/6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 50.4?\nAnswer: 50.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 807422.60223 - 807377.6. Let s = 31.302008 - f. Let v = s + 13.7. Round v to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427310, 427309, 427308?\nAnswer: 427307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 3311 = -6*n. Let u = n + 454. Calculate the greatest common factor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16093 is divided by 567.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187407, 375235, 563063?\nAnswer: 750891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 5)*(-2)\/(-2). Differentiate -39*n**3 + 43*n**q + 39 - 7*n**3 with respect to n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*l**3 - 9*l**2 - 11?\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46147\/7 - 11259455\/1708. What is the common denominator of w and 3\/8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1011 - -33365\/33. Let r(i) be the first derivative of -8\/11*i + 6 + q*i**3 + 0*i**2. Factor r(n).\nAnswer: 2*(n - 2)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3095*o**2 - 1016*o + 1035*o**2 + 1036*o**2 + 1028*o**2 + 3012.\nAnswer: 4*(o - 251)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4537 is divided by 219.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/9 and 28\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*o - 5, -1 - 4 = p + o. Let s(v) = 2*v - 5. Let h(w) = w - 2. Give p*h(j) + 2*s(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236593082 to the nearest integer?\nAnswer: 15382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**4\/4 - 7*r**3\/3 - 2*r + 392. Determine x(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 21. Let k = 4.264 - 0.264. Which is the biggest value? (a) h (b) k (c) -28 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*q - 20, -5*h + q = 2*q - 21. Solve h*g + 4 = 3*i, -3*i - g = 1 - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 13817749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:03 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 - 0.01. Let w = 33 + 9. Let x be (-7)\/w - 561\/(-18). Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*7\/35*-10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109408170 rounded to the nearest one hundred thousand?\nAnswer: -109400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 612856*k + 3 - 306433*k - 306423*k.\nAnswer: 12*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 681595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/(-200) + 24581\/(-470).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzu. Give prob of sequence uzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 820, 1649, 2478, 3307, 4136?\n\"Answer: 829*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*l + (-4 + 4 + 2)*(-5*l + 3*l + 3*l) + 3*l + l - 2*l - 3 + 3 + l)*(21182 - 98*l - 21182).\nAnswer: -196*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 3 + (26 - (-4 - -1 - -110)) + -6\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/10 - -13\/30. Sort 2\/9, 0.04, h, -1 in ascending order.\nAnswer: -1, 0.04, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + 20?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 48 = 66. Put -2, c, 3 in decreasing order.\nAnswer: 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2034 - 1059. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -240023?\nAnswer: -240022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280289.4ns in hours?\nAnswer: 0.0000009111915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 23. Calculate the remainder when 31 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-7) - 1) + 12512\/(-161). Let w = 133 + t. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ninety-eight fifths of a hour?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 + 6. Let l = 0.08 + 4.92. Suppose -g + 5*g = 0. What is the nearest to g in l, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -8, -7186?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.09735?\nAnswer: 0.29205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 786*b + 3155. Determine l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3959 divide 2340006540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 16033220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*z + 84 = -429*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 2)*(-50*m + 52*m + 99*m)*(-3 + 6 - 2).\nAnswer: 606*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1491, -6869, -15835, -28389, -44531, -64261?\nAnswer: -87579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/(-45)*(-1)\/2)\/(2\/(-9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 3654.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -1.6. Suppose g - 9 = 4*l, -2*l + 2 = -4*g - 5*l. Let v be (g\/10)\/(2\/4). Which is the closest to m? (a) 1 (b) 2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3552 - -3555. Solve i*k + 9 = 7*f - 4*f, 4*k + 6 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/4 - m**3\/2 - 2169*m**2\/4 - 3239*m\/2 - 1078 = 0. What is m?\nAnswer: -44, -2, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2*c*w**3 - 34*b**2*c*w**2 - 2*b**2*c*w - b**2*w**2 + 2*b**2*w - 2*b**2 - 23890*b*c*w**3 - 283*b wrt w.\nAnswer: 6*b**2*c - 143340*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 700288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and 43.\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25193 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -1\/10*y**4 + 0*y**3 - 9 + 0*y**2 - 1\/25*y**5 + 0*y. Factor t(o).\nAnswer: -o**3*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.21 (b) -16 (c) -1 (d) 24 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 120 = -8*z. 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: Determine z so that 12*z**2\/7 - 3*z = 0.\nAnswer: 0, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -368, 139, 972, 2137, 3640?\n\"Answer: u**3 + 157*u**2 + 29*u - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:24 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5852 and 11506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + 17 + (16 - (23 - 0)) + 74.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/4 + 229*v + 435045\/4 = 0.\nAnswer: -345, 1261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/35*(-17)\/((-34)\/112)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31096231211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1101*t**3 - 551*t**3 - 551*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*m - 4 + 28, 0 = -5*n - 2*m + 32. Let v = 0 - -5. What is the remainder when n is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(792))\/(sqrt(44)\/(sqrt(4) - -2*sqrt(4)) - sqrt(11)))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -2 in increasing order.\nAnswer: -2, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h + 760. Suppose 34 = 3*c + h. Is 8 a factor of 4\/(-6) + c\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 12 - 10. Let v be g\/(-2 - (-20)\/8). Let m be v\/(-20) + (-730001)\/(-5). Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysws when four letters picked without replacement from {s: 3, y: 1, n: 5, w: 6}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(2*q - 2*q - q) - 2 - 2*q + 2 + (-2 - 1 + 2)*(4*q + 4*q - 6*q) + q - q - q - 152 + 152 - 14*q to t*q + s and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2*i - 32764040*c**2 - 13678277*c*i**4 wrt i.\nAnswer: 4*c**2 - 54713108*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/608 and (1 - 1983\/390) + (-1480)\/100 + 15?\nAnswer: 7904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2 + 5*r**2 + 6*r**2 - 13*r + 2*r**3 - 6 - r**3. List the prime factors of l(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -3*w**5\/35 + 3*w**4\/28 + w**3\/7 - 3*w**2\/14 + 17. Factor q(z).\nAnswer: -3*z*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 - 225850*p**2\/9 + 2189720162*p\/3 - 1202320091182.\nAnswer: 2*(p - 55587)**2*(p - 1751)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2904, -22794, -76680, -181560, -354432?\nAnswer: -612294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1075482063457\/150737461212 - 80494\/1571557. Let k = p - 2\/7993. What is the common denominator of -117\/20 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 + l**2)*(-4*l + 4*l - l)*(-935 + 8445 + 5377 - 803 + 6308).\nAnswer: -36784*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63006155 (base 7) in base 15?\nAnswer: 6e9452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 3. Suppose d + 131 = 2*c, -2*c + a*c = -d + 310. Let h = -879 - -912. What is the remainder when c is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/7, -35, 21\/5, -1\/2, 9\/4, -4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 8*i - 7*i + 18*i)*(0 + 1 - 2)*(-230*i + 23*i**2 + 230*i) + (-i**2 + 0*i**2 + 3*i**2)*(-5*i + 0*i + 3*i) - i**3 + i**3 + 2*i**3.\nAnswer: -71*i**3 - 483*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 4473074.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 185 + -2 + 2 + 0. Suppose -z = 5*w - 10*w. Let m = w - 22. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/3 - 11*i**3 - 31*i**2\/3 + 11*i + 32\/3 = 0.\nAnswer: -32, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 3*t**3 - 3 - 27*t + 3 + 1 + 29*t. Calculate v(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -38.01\nAnswer: -11.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(108) - (sqrt(108)*4 + 2)) + (1*(-1*(sqrt(108) + 2) + 3))**2.\nAnswer: -12*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1007\/(-95) + 2\/(-5). Let r(n) = -n**2 - 12*n - 9. Let t be r(g). Let k be (t\/(-4))\/(2\/(-4)). Sort -3, 3, k in increasing order.\nAnswer: -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -275\/4, -2\/9, -0.3, -5.2, 3\/13?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60510941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 1 - 1 + 1 - w - 1 + 3*w + w - 6*w + (-w - 3*w + 5*w)*(2 - 5 + 1) - 2*w - w + 5*w + w - 27*w + 0*w)*(0 + 3 - 2).\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q*q**(-3\/11))**16\/(q*q*q**(-1)*(q\/q**(1\/4))\/q*q**(2\/5)*q**3) assuming q is positive.\nAnswer: q**(-15953\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14524 - 411?\nAnswer: -15335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*c - 13, -2*m + 6*m - 3*c + 11 = 0. Suppose -5*g + 3*g + 24 = 0. Suppose 0 = -3*z - g + 3. What is the second biggest value in -1, m, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-55)*12445\/131?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 304, -1\/5, 4, -1, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 - 1. Let x(d) = -6*d + 6*d + 2*d**2. Calculate x(r(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 + 14*d - 22. Let w(v) = -3*v**2 + 8*v - 11. Give 6*j(g) - 11*w(g).\nAnswer: 3*g**2 - 4*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6230\/(-356)*((-4 - 2) + 576\/90).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 - 2*c**4 - 44*c**3 - 50*c**2 + 4*c + 16 = 0.\nAnswer: -2, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*x**2 + 8*x**2 - 11*x**2)*(-219*x + 111*x + 116*x) as a*x + u*x**3 + r + i*x**2 and give u.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m - 15. Let u be h(6). Suppose -73*d = -70*d - u. What is the second derivative of -14*f - 14*f**5 - d*f**5 + 23*f wrt f?\nAnswer: -460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14594.4 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*t - 31375 - 28455 = -776*t for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56416 + -4\nAnswer: -56420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 9*n**2 - 20*n - 12. What are the prime factors of y(-9)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 1 + -2)*65\/(-26). Suppose 10*p = -m + 35. Suppose -p*o + 618 = 3*d, -9*d + 5*o + 860 = -5*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38243908 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95, 10, 115, 220?\n\"Answer: 105*d - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 222*s - 215*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 7. Let g be s(-4). Let u be (4\/5)\/((-30)\/75). Sort -7, u, g in decreasing order.\nAnswer: g, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 3*b)*(3*b - 4*b - 2*b) - 14*b**2 + 2*b**2 + b**2 - b + b**2 + b - 5*b**2 + 5*b**2 - b**2 + (2*b - 2*b + 2*b)*(2*b - b - 3*b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*g**3 - 8 + 7*g**3 + 17 - 9*g**3 wrt g.\nAnswer: -57*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-2.59\nAnswer: -0.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 20 = -63 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10472569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.83 less than -45383282?\nAnswer: -45383280.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -384, 366, 1834, 4260, 7884, 12946?\nAnswer: 19686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.08 - 1.92. Which is the closest to 4? (a) 2\/5 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -19 - (24 - 11) - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8053 - 7.8053. Which is the fifth biggest value? (a) 2\/15 (b) 2 (c) l (d) -5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -6, -5*y - 2*q - 12188 = 6476. Does 11 divide 16\/88 - (y\/44 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 - 51 + 79 + 3*m**3 to the form a*m**3 + k*m + f*m**2 + j and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 11\/8, 0.1 in decreasing order.\nAnswer: 11\/8, 0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 37*r**2 + 68*r + 1138. Determine s(-36).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2. Let f(u) = -7*u + 4. Let x(h) = -187*h + 44. Let b(d) = -55*f(d) + 5*x(d). What is b(i(o))?\nAnswer: 1650*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 3*u = -9226. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3296312 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 67309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6016477 to three decimal places.\nAnswer: 1.602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8.3 - -1335866\nAnswer: 1335874.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) - (-94)\/(-10). Let d = -2 - t. Suppose -l - 2*v + 11 + d = 0, 4*l - 12 = 4*v. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 4*d + 3, 4*h - 10*d + 5*d - 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28168, -28151, -28116, -28063, -27992, -27903?\n\"Answer: 9*a**2 - 10*a - 28167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/7 + -23\/14. Let v = -1 - 1. Which is the closest to 0? (a) 3 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -22*z + 0*z**2 + 8*z + 2*z**2 + 12 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o - 20. Suppose -4*x - 2*q = -24, 8*x - 6*x - 2*q = 0. Let f(z) = -2*z - 10. Determine x*d(g) - 7*f(g).\nAnswer: -2*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 15\/(-9))*63. Let d be (-6)\/u + (-24)\/14. Let q be d\/6 + 26\/24. What is the smallest value in -2, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1344*570\nAnswer: -766080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and 23\/4938765?\nAnswer: 9877530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1482 and -137\/70014?\nAnswer: 17293458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -393.633 + 395. Let u = 17.577 + x. Let b = -0.056 - u. What is the biggest value in 1\/5, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 105*a - 298. Let o be l(-3). Put o, 37, 1, -3 in descending order.\nAnswer: 37, 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 68, 118, 170?\n\"Answer: r**2 + 45*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-5)*(772\/(-18) - (-41 - 3)).\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/2 - q**3\/3 + q**2\/2 - 5*q. Let s(u) = -11*u**2 + 4*u - 2. Calculate -7*b(j) - 4*s(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1530*f - 1564*f - 170 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k - 2*k + 4*k)*(0*k**2 + k**2 + 0*k**2) + 2*k**3 - 3*k**3 + 0*k**3)*(68 + 31 - 20).\nAnswer: 79*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-8))\/((-2)\/(-4)*(3 + -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 121. Let d(q) = -16*q - 77. Let o be d(t). Solve -15*v = -12*v + o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m)*(2*m - 1 + 1)*(1 + 4 - 1).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (79 - (34 - -45)) + (1 - (-50 - 3))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11921 (base 14) in base 11?\nAnswer: 2a2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -2*w - 10*t + 1484, -3*w + 3*t = -2214. Let p = w - 302. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -11.9. Let l = a - -0.9. Sort -0.3, l, 3.\nAnswer: -0.3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 141 and -1.88?\nAnswer: -265.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2. Let t(a) = 102*a + 2. What is r(t(f))?\nAnswer: 72828*f**2 + 2856*f + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(405) + -6*(sqrt(405) + -1*sqrt(405) + sqrt(405))))**2.\nAnswer: 253125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25)*(-60)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-39 - -16)) + -26 + -1 + -1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Let g(t) = 16*t**3 + 43*t**2 + 12*t + 5. Let x(s) = -17*s**3 - 44*s**2 - 12*s - 4. Let o(z) = w*g(z) - 5*x(z). Factor o(i).\nAnswer: 3*i*(i + 2)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304104228 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + -1038\/7. Let s = -19357 + 19357.05. What is the fourth smallest value in x, -4, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 10) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.294 - -2.95. Let f = 325.867 + -327. Let j = a + f. Round j to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.1531479.\nAnswer: 0.04594437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12182 - 12156. Let w = -24 - -94. What is the remainder when w is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 187*s - 4063. Determine v(25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246840\/329 not equal to 750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 46 - (0 + -10 + (22 - 5 - 3))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 2, c: 4}. What is prob of picking 3 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 - 7*x**2 + 6*x - 3. Let v be c(2). What is the second biggest value in 4, -4, 1\/19, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**5\/60 + 2*n**3\/3 - 7. Let j(g) be the third derivative of x(g). Let v(h) = -h**2. What is v(j(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 i, and 1 n when four letters picked without replacement from {n: 1, h: 1, v: 2, i: 3, p: 3, o: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360520 = 33*x - 160319. Is x 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 296?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)**(19\/5))**37\/(((c**3\/c*c)\/(c*c**(2\/5)))\/((c\/c**(2\/13)*c)\/c*c**4\/c)) assuming c is positive.\nAnswer: c**(1857\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31467 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, l: 4, x: 10, w: 2}. Give prob of picking 1 w, 1 t, and 2 x.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + 5*sqrt(75) + (6*3*sqrt(75) - sqrt(75)) + -4)*-1)**2*2.\nAnswer: -49280*sqrt(3) + 1163168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -13 - (-29 + 23 + 49).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-6 - 2 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56 or -63?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 2 (c) 63727 (d) 1\/9 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 43, 38, 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x + 14. Suppose -d - 5 - 3 = 2*h, 2*d - 3*h = 12. Suppose d = 3*y + 2*y. Let m be j(y). Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4*(3305\/(-20) - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + -5*(sqrt(153) + sqrt(153) + -1)**2 + (sqrt(153) + 1)**2*6 - (((-1*sqrt(153) - sqrt(153) - sqrt(153) - sqrt(153)) + 4)*-3)**2.\nAnswer: -24317 + 963*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035623804 rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 24*z**2 - 22*z - 44. What is k(25)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbmmbmnbnbttmnbbb. Give prob of sequence mnb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 14 + 61. Suppose -17 = -2*w + 3*r, -4*w + 4*r - r + h = 0. Find the third derivative of 0 + 0 - 5*q**2 + 4*q**2 - w*q**4 wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 25. Let m(d) = -2*d - 13. Let p(t) = 6*g(t) - 11*m(t). Calculate the remainder when 49 is divided by p(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 564 = 873. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 11*n**2 - 15*n - 3. What is the units digit of u(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 - 61703*d**2\/4 + 238007744*d - 1665298432.\nAnswer: (d - 30848)**2*(d - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 4*w**2 + 5. Suppose 3*u = 6*u - 15. Let y be 8\/2*(-7 + 8). Let s(q) = -q**3 + 5*q**2 - 6. Calculate u*j(x) + y*s(x).\nAnswer: 6*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.54 - -66.64. Let p = y - 54. Round p to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 26*m + 17. Let u be 1*(0 + -2)*(21 - 18). Let t be b(u). Calculate the remainder when 1*(-1 - 1*(t - 3)) is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(245)*1*-6 + -1).\nAnswer: -42*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 690590.1 to the nearest one thousand.\nAnswer: 691000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2214*l = 2387*l + 12*l + 562*l + 460575 for l.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((247\/39)\/19)\/(-5*(-12)\/396).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 - 8*b. Let o = -9254 + 9251. Let p(u) = 25*u**2 - 23*u. Calculate o*p(y) + 8*w(y).\nAnswer: -11*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137638 micrograms in tonnes?\nAnswer: 0.000000000000137638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 18*c + 63. Let o be n(-3). Let w = -229\/7 - -33. What is the closest to w in -5, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -156732?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from jjjjjjjjjtjhjjhth.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -3*w + 0 + 3\/2*w**2 - 1\/3*w**3. What is the first derivative of j(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*z + 144 - 181 = 0, 2*i = 3*z - 7. Solve 4*o = i*a - 5*a, -4*a = -4*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a**2 - 6*a. Let y(w) = -7*w**2 + 41*w + 36. Let z(f) = 3*f**2 - 17*f - 15. Let r(b) = -5*y(b) - 12*z(b). Let x = -3 + 4. Give x*g(h) - 6*r(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**15)\/((z**(8\/5)\/z)\/z)*((z*(z\/(z**(-4\/3)\/z))\/z)\/z)**(-41) assuming z is positive.\nAnswer: z**(-1639\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75 - 0 - (-110 - -152 - 60)) + 8 + 1.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*p - 5*d - 0*d, -3*d = -12. Let s = p + 27. Solve 0*f + 2*f = -n + s, 0 = 4*n - 5*f + 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(-4\/15))\/m**(-3\/10))\/(m*m\/(m*m*m\/(m*(m**(-2\/11)*m*m*m)\/m)*m)*m)**(-7\/3))**24 assuming m is positive.\nAnswer: m**(8988\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 1. Let b = -8 + 10. Let m be 2*b*6\/8. What is the tens digit of p(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -786\nAnswer: -55\/786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.1 + 5.1. Let s = 2.5 + -3. Let y = -1690 - -1694. Which is the closest to o? (a) s (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:52 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/(6\/4)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((702\/(-18))\/39)\/19.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*q - 6 - 5 = 0, i - 11 = 5*q. Let m = -22.4 + 22. Put i, 5, m in ascending order.\nAnswer: m, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n**2\/2 + 314943*n\/4 + 15747\/2 = 0 for n.\nAnswer: -10498, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2287620 and 32?\nAnswer: 18300960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 7*w**2 - 8*w + 3. Let y(t) = 6*t**3 + t**2 - 1. Let a be y(-1). Let c be d(a). Solve 4*n = n + c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k**2 - 5. Let j be l(-2). Let m(s) = s**3 + 5*s**2 - 2*s - 4. Let t be m(-5). Is (403\/j)\/(2\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*a**5 + 46*a**2 - 6*a**5 + 4*a**2 + 7*a**5 wrt a.\nAnswer: -1440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.2, -11, 0.5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13819984397 - -0.0363.\nAnswer: 0.17449984397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:45 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let z = -2518.1199 - -2520.11990015. Let x = z + a. What is x rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 17*q**2\/3 - 56*q\/3 + 52\/3.\nAnswer: -(q - 13)*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 741*x**2 - 20*x + 7. Let c(f) = 372*f**2 - 11*f + 4. What is -7*c(i) + 4*h(i)?\nAnswer: 360*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0823 (b) 89155 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583858480.\nAnswer: 2, 5, 7298231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 4. Let f be j(-1). Solve 5*q - h = -26, 5*h = f*q + 3*q + 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 15) to base 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 56. What is the highest common factor of z and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-84)\/(-105))\/((-2)\/(-10)). Suppose -464 = -2*a - 4*o, 4*a + f*o - 236 = 3*a. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6647, -6257, -5191, -3113, 313, 5423, 12553, 22039?\nAnswer: 34217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 908999137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 3*f + 2. Let q be l(2). Let b(z) = -z**3 + 5*z**2 - 2*z. Let k be b(q). What is the highest common divisor of 88 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1)\/(-11 + 13)*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 1793*x**6\/60 + x**5\/30 + 871*x**4\/12 + 6045*x**2. What is the third derivative of j(i) wrt i?\nAnswer: 21516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 2404*v**2 - 4820*v - 2412.\nAnswer: 4*(v - 603)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 12\/(-90)*35. Let y = 2 - 10. Let d be y\/14 + (-6)\/(-21). What is the nearest to -16 in 2, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15299163 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 4\/9 (c) 410\/1557 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f**2 + 26*f**2 - 6*f**2 - 170*f - 6*f**2 - 5*f**2 to the form q*f + w + p*f**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j + 880 = 20*j + 3019 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:04 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/70 - (-16)\/7. Suppose 3*y + y = 4*w, z*w = 0. Suppose -10 = -5*d - y*d. Put 5, d, 3 in increasing order.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 1433?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6461*v**3 + 480*v**3 + 3267*v**3.\nAnswer: -2714*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -19*c + 43, -11*y + 2*y = -13*y + c + 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 13. Let v = 10 - 4. Let o be v\/i*3 - 2. Sort 4, 0, o in ascending order.\nAnswer: o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let s(u) = u**2 - u. Let n(h) = -h**2 + 8*h + 2. Let f(p) = -n(p) - 3*s(p). What is f(r) - 3*z(r)?\nAnswer: -2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 - 5 = 4*x. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*j**2 + 323*j**2 + 5*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231927 and 582.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hktvrbr. Give prob of sequence krtr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 62. Calculate the smallest common multiple of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 22. Give h(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 132.6 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2000 + -1301?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4700674.\nAnswer: 2, 11, 43, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 1. Let i(z) = -14*z - 3. Let p(c) = -200*c + 398*c + 5 - 197*c - 2. Let u(a) = -i(a) - 5*p(a). Determine 12*f(o) + u(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (144\/18)\/(-1*(-2)\/92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4) + 0)*-2. Let u be (18\/27)\/((-4)\/18). Sort u, 5, q.\nAnswer: u, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 10:26 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 844*n = 856*n - 21948. What are the prime factors of n?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 253 = -6*i. Let s = 33 - i. Suppose -n = -s, 3*l + 4*n = 7*l - 212. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, 1, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-10) + 5\/25. Suppose -3*t - b + 359 = 0, -t + 8*b - o*b = -98. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 - 105. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * -7164.\nAnswer: -9313.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4\/(-3)*13\/2548*42\/(-7).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-42814\nAnswer: -1712.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Let h(z) be the third derivative of -5*z**4\/3 - z**2 + 17*z. Calculate n(h(f)).\nAnswer: 1600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1077.04652 * -0.08.\nAnswer: 86.1637216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -395 + 404. What is the remainder when 205 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -3. Let p = 0.07 - -16.93. Let h = p - 17.1. What is the second biggest value in x, h, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78c0 (base 16) to base 11\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, f: 2}. Give prob of sequence pfp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/4619 and -7\/41571.\nAnswer: 41571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10643?\nAnswer: 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/9)\/1 - 2. Suppose -60*y + 13*y + 235 = 0. Find s such that v*s**4 + 0 - 4\/9*s**3 + 2\/3*s**y + 0*s + 0*s**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, e: 9}. Give prob of picking 4 e.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 5*z + z**3 + z**3 + (2 - 3 - 1)*(2*z**3 + z**2 - z**2) - z**3 - 2*z**3 + 4*z**3.\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/2 of a day?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131628890 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 2*n + 8. Let m be f(8). Let c be 15*(2 - m\/(-20)). Let p be (c\/(-80))\/(6\/(-4)). What is the third biggest value in 3\/5, p, -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 14) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 51 = -5*z + 63, -5*z = -3*d - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-17\/4))**46*(j\/(j\/j**(13\/2)))\/j**(-2\/27))**40 assuming j is positive.\nAnswer: j**(-104680\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2. Let g(f) = 5528371*f**2. Determine g(m(s)).\nAnswer: 22113484*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*-1*((-55)\/(-5))\/22?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354541?\nAnswer: 11, 167, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/524017 and -79\/72696.\nAnswer: 12576408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*x + 1438, 4*y + 0*x = -4*x + 1896. Suppose 4*b - 988 = -s, -2*b + y = -s - 3*s. Let c(i) = -246 + 37*i + b. Let u(a) = 2*a**2. What is u(c(v))?\nAnswer: 2738*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20526 smaller than 20527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**5 + 2*x**4 + 22*x**3 + 22*x**2 - 4*x - 4. Let y(s) = -13*s**5 + 5*s**4 + 45*s**3 + 45*s**2 - 9*s - 9. Let o(c) = -9*q(c) + 4*y(c). Factor o(z).\nAnswer: 2*z**2*(z - 3)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*a + 254*a - 10*a**2 + 5*a**2 + 2*a**2.\nAnswer: -3*a**2 + 620*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 39 and 37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*3 + (10\/6)\/((-720)\/38448).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 + 9*v**2 + 924*v**3 + v**2.\nAnswer: 924*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 plus 1264785618?\nAnswer: 1264785588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/40 - (33912\/20)\/(-3). Let n = -509 + f. Calculate the remainder when n is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2\/5 - 21802392*z + 99030061858680.\nAnswer: 6*(z - 9084330)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9) - (-35)\/(-180)*(-77)\/(-957)*-12?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21508071, 21508065, 21508059, 21508053, 21508047, 21508041?\nAnswer: 21508035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 430*q**2 - 218*q + 411. Give n(107).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3128733 - 308733. What is q rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 114326 and -8.309.\nAnswer: 114317.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*(-735)\/(-42)*2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -2*w**7\/105 + w**6\/24 - 32*w**3\/3 + 158*w**2. What is the first derivative of o(d) wrt d?\nAnswer: -16*d**3 + 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*k - 4, 0 = a - 4*k - k + 23. Let u be (-8)\/((a - 3)*2). Suppose l - 18 = -5*w, w = -u*l - w + 36. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Suppose 2*p = 3 - g. Are -1\/4 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4542 and 17153620.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 10*o - 9*o + 295, 0 = 5*t - o - 370. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 1\/3*v**3 + 0 + v - 2\/3*v**4 + 0*v**2 + 1\/15*v**5 - 1\/360*v**6. Let n(s) be the second derivative of y(s). Factor n(z).\nAnswer: -(z - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323585 (base 9) to base 10.\nAnswer: 192938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 - 13*l - 11. Give d(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 8*w**2 - 7*w + 2. Let l be s(-7). Let d = -8 + l. Let m = 10 + d. Solve -2*r - 2*r = m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 622383776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-507)\/84 - 29656\/(-4718).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -155584\/199 or -782?\nAnswer: -155584\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1967*n**3 - 7*n**2 + 7*n**2 - 1968*n**3 - 3. Let i(w) = w**3 + 2. What is 6*i(o) + 5*r(o)?\nAnswer: o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c - -6889?\nAnswer: 68b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -63 times -0.99686\nAnswer: 62.80218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13252 = 3*h - 5*h. Is h\/(-2)*5\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72463.\nAnswer: 233, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3732*j = -4088*j + 508300 for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.952 + -0.048. Let x = -13.2 - h. Let d be 2*((-2)\/6)\/1. What is the closest to x in 0.1, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4*o = -44, -2*r - 5251*o - 26 = -5253*o for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24190 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380\/2583 - -106\/287. Sort 1.77, w, 2, -2.\nAnswer: -2, w, 1.77, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixxiuruuu. Give prob of sequence iuxu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 175 = 544. Let r = -122 + j. Solve 0 - r = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/6*(-9)\/(-24)*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 13*s + 2. Let t be x(11). Let j = 129 - 51. Let n = j + t. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -36. Suppose 0 = 2*s - t - 8. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4675 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2161194907 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i. Let p = 44 - 40. Suppose -3*w = 3, -p*j - 5*w + 11 + 84 = 0. Let u(t) = -25 + j + 4*t**2. Give u(l(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1194*i**2*k**5*r + i**2*k**2*r + 5*i**2*k**2 + i + 3*r wrt k.\nAnswer: 71640*i**2*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/131600 and -123\/80.\nAnswer: 131600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:39 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 11*x - 4. Determine y(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5700917.5 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15)*25\/(-20))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven halves of a millennium?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4245, 553 in decreasing order.\nAnswer: 4245, 553, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven eighths of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2. Let j(s) = -s - 13*s + s. Give k(j(h)).\nAnswer: -338*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + -4 + -4 - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13556 - 13556 + 185*g**2. Let n(b) = -2*b. Determine n(m(s)).\nAnswer: -370*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 e when three letters picked without replacement from {e: 2, s: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 76365879.\nAnswer: 76365878.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5298*w**3 - 4*w**2 + 7*w - 3756213 wrt w.\nAnswer: -15894*w**2 - 8*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -38*i - 2955. Let b be o(-79). Solve -9*r + b = 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 583 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Suppose 5*n + 8*n = 0. Let a(b) = -b**3 - 7*b**2 - b - 2. Let y be a(-7). Sort y, n, t.\nAnswer: n, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -46 + 28 - 5*r - 12 - 10*r - 27. Calculate i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -478 - -480. Suppose -12 - 14 = -2*f - 4*u, z*u - 22 = -4*f. Which is the closest to -1\/4? (a) f (b) -3 (c) -0.06 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**5\/8 - 147*g**4\/8 + 1191*g**3\/4 - 6987*g**2\/4 + 21375*g\/8 - 9639\/8 = 0?\nAnswer: 1, 9, 17, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56426*z**4 + 19*z + 4910745?\nAnswer: -225704*z**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6 = -9. Let t be 1\/3*(0 + c). Let z = 1 + t. Solve -2*u + 4 = -z*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 462*j - 4616. Give o(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 637 - 17*n**2 + 214 - 83 - 306*n**2 - 525*n**2 wrt n?\nAnswer: -1696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -17) + (-67 - -117)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 3*f**2 - f**2)*(3 - 8 + 11).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-14) + 1\/(2\/(-4)). Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0 + 1 - -2. Suppose -1 = r + j. Let y = r - -2. Which is greater: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*f + 13 = -0*f, -f - 1 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2 - 1. Suppose 26 = s - v*s. Does 10 divide (-2)\/s + 245\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1551? (a) 2 (b) 32\/3 (c) -1 (d) 13 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4091727 + 3779073. Round h to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 2. Let u be w(4). What is the highest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + sqrt(637)*5)**2)*2.\nAnswer: 280*sqrt(13) + 31860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 149 + -171 - (10 + -69)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 491, -1\/3, -3, -5 in ascending order.\nAnswer: -5, -3, -2, -1\/3, 7, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(76) - (sqrt(76) + -1)) + sqrt(76))*-1)**2 + 4.\nAnswer: 144*sqrt(19) + 2776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*j - 820 = 757 + 206 + 2741 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 7. Suppose -4*o + 8 = 28. Calculate z(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 28391531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -993013 minus -1.94?\nAnswer: -993011.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**3 - d**2 - 2*d - 1. Let f be p(-1). Suppose 0 = x - 2*x + f*m - 9, -45 = -5*x - 5*m. Let n be -1*3*x\/(-9). Solve -4 = 4*k - n*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243767, 487543, 731317, 975089, 1218859, 1462627?\nAnswer: 1706393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1887*f**2 + 907648*f + 477. What is o(-481)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 33*p. Let z(l) = 13837*l + 1. Calculate a(z(q)).\nAnswer: 456621*q + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxxxxxkxmxxkkxxkxk. What is prob of picking 1 x, 1 k, and 1 m?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 w, and 1 h when four letters picked without replacement from awywwwwwwwwwwhp?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by (-8)\/((-12)\/(-3)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 22*b**2 + 2*b - 21. Let u(g) = 103 - 11*g**2 - 9*g - 76*g**2 - 18. Let f(x) = 9*q(x) + 2*u(x). Differentiate f(n) with respect to n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2 + 2)*(14*q - 50*q - 23*q) to the form u*q**2 + a + d*q and give u.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = -3*m, 4*m - 2*y = -0 + 16. Let u(c) be the second derivative of c**4\/12 - 5*c**3\/6 + 3*c**2\/2 + c. Let h be u(m). Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 1, j: 2, w: 2, s: 1}. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15*q**2 - 44*q + 7. What is the remainder when 707 is divided by s(4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 402252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -1)\/(1\/6). Let p = -1 + c. Let d = p + -2. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6.12. Let i = u - 0.4. Let t = i + -0.2. What is t rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + 16. What is the remainder when w is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10233 = -2648. Let a = -720 - z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18421 + 18420.8. Let a = -2.2 - -0.2. What is the biggest value in g, a, -0.3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m = 56. Let q be m\/(-6)*(198\/(-12) + 0). What is q rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.08 - 37. Let q = z - 0.08. Let m = -5.58 + 0.58. What is the nearest to -1\/3 in m, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, -2\/13, -28, -0.3, 0.2, -0.2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247814 is divided by 2719.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 + 24*v**3 - 118*v**2 + 156*v - 64.\nAnswer: 2*(v - 2)*(v - 1)**2*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(76)*-2 - sqrt(76))*1*3)\/(1*sqrt(4)*2 - sqrt(4) - -4*sqrt(196))*6.\nAnswer: 108*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2.02. Let f = 2.02 + p. Let v be 48\/(-60) - 1*204\/(-330). Sort v, f, 0.4 in descending order.\nAnswer: f, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-990)\/(-27))*6. Which is greater: m or 207?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j**(5\/6)*j*j)\/j)*j)\/j)\/(j\/j**(-1\/2))*(j*j**5)**7 assuming j is positive.\nAnswer: j**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9*3\/(-2). What is the units digit of 10 + v + 0 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213*-3.88\nAnswer: -826.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11793793 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -951\/186943?\nAnswer: -951\/186943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 + 13 + 0 + -1. Solve -5*k = -c + 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 51 = 24. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.35 + -0.45. Let n = 1.94 - -0.06. Which is the nearest to h? (a) n (b) -1\/3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43908, -87826, -131744, -175662, -219580, -263498?\n\"Answer: -43918*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-24)*(17\/(-30) + 10\/25)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2 - 141*k - 610. Let s be x(-4). Solve 0 = -2*t + 18*m - 21*m + 9, -2*m = 4*t + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - 108. Let y be (3618 - 1) + -4 + 7. Suppose -a*q - y = -9843. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 869 - 884. Sort h, -1\/8, -1.2, -1\/5 in descending order.\nAnswer: -1\/8, -1\/5, -1.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*13\/((-39)\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 12:08 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -30\/11*v + 12\/11*v**2 + 16\/11 + 2\/11*v**3 = 0. Calculate v.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -26*t + 15. Suppose 5*c - 6 = 3*c. Let u be t\/c - (-2)\/6. Solve -6*x = -u*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8 - 1 = 3*m, -3*m + 1 = -b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3292 - -1741. What are the prime factors of c?\nAnswer: 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -114, -4, 24.\nAnswer: -114, -5, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccuccuc. Give prob of picking 2 u and 2 c.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-8))\/(7\/(-196)*-7). What is the fourth smallest value in 2, 2\/11, -4, -748, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 484*x**2 + 967*x**2 - 484*x**2.\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 13135 - 960 = 5*x, 0 = 4*m - 4*x - 9700. Suppose 9*c = 4*c. Suppose 0*l + l + m = c. What is l rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 - 48*z - 2. Let w be i(18). What is the derivative of -17 - 192*p**3 + 111*p**3 + w*p**3 wrt p?\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55583?\nAnswer: 11, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.706 rounded to one decimal place?\nAnswer: -42.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -294, -526, -808, -1140, -1522, -1954?\nAnswer: -2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 9*t + 10. Let w be d(-5). Suppose 15 = 5*s - w, v + s = 13. Let o = 22 + -111\/5. Which is the biggest value? (a) o (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-20)\/(-25) + 6\/(-2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 7)*1\/(-7). Which is the third smallest value? (a) -5 (b) -1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -423 - -424. Sort -7, k, 0, -4 in increasing order.\nAnswer: -7, -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8128218 divided by -98\nAnswer: 82941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/27 - 824*s**3\/27 - 84872*s**2\/9 - s + 374. Determine z so that m(z) = 0.\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (-111)\/(-21) + (-4)\/14. Suppose -10*t - 1708 + 5188 = f. Suppose 43*b - 46*b = -t. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*t + s, 23*t - 25*t - 5*s = 27. Put -4, -5, -586, t in descending order.\nAnswer: t, -4, -5, -586","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201*f**2*h**5 + f**2*h**2 - 273*f**2 - 2*h**6 + 2*h**2 wrt h?\nAnswer: 12060*f**2*h**2 - 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-130)\/(-20 + 10) + 9551. What is the greatest common factor of 48 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1789 (c) -0.5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-112)\/((-3136)\/(-42)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8408.7*-0.15.\nAnswer: -1261.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 128 = 146 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let b(d) be the second derivative of 16*d - 2\/3*d**4 + 0*d**3 + 0*d**2 + 0. Calculate t(b(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 274, 275, 276, 277, 278, 279?\n\"Answer: u + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 + 10*a + 26. Let b(j) = 7*j**2 + 9*j + 28. Let v(h) = 5*b(h) - 6*w(h). What is the smallest common multiple of 8 and v(-12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 852.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2905253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 40*b**2 + 384*b.\nAnswer: -4*b*(b - 6)*(b + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:13 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c**5 - 4565*c**4 + 27040*c**3 - 32860*c**2 - 5712*c = 0. What is c?\nAnswer: -357, -2\/13, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -703 = -4*v + w, -884 = -573*v + 568*v - 4*w. What is the greatest common divisor of 20504 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 104. Let l be g(-25). Solve -l*f - 4*h - 8 = 0, 2*h + 7 + 9 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 11 = -4*u, -3*v = -2*u + u + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -245. What is o rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 2*k. Give r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -290 and 0.2.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -48 - (13 - 23).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*(-6*(sqrt(567) + 0 - sqrt(567)) + 3*1*sqrt(567) + 5 + sqrt(567) + (sqrt(567) - (1 + sqrt(567))) + -2*sqrt(567)*5) + -3 + 3))**2.\nAnswer: -62208*sqrt(7) + 2941632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116538?\nAnswer: 2, 3, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {p: 1, l: 2, j: 1, f: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/240 + (-517)\/88935*-7?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -29309643.\nAnswer: 205167501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let u(t) = 8*t - 4. Let c(k) = -24*k + 13. Let m(x) = 2*c(x) + 7*u(x). Give m(g(l)).\nAnswer: -8*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6217.999962456 + -6218. Round r to 7 dps.\nAnswer: -0.0000375","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043877206 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165265 > 165275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a876283 - -3?\nAnswer: -1a876280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 3)*(-1 - 5 + 22)*(-2*u + u - 3*u) in the form y + g*u and give g.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56356159 or -14?\nAnswer: -56356159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3124\/165 + ((-6)\/12)\/(60\/(-8))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -2) + 12 + (18 - (35 - 14)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 1. Let s be o(-3). Let a = 0.42 - 2.42. Let c be 15\/(-10)*(-6)\/(-15). Sort c, s, a in descending order.\nAnswer: c, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*m + 16*m**2 - 6*m**2 + 1 - 92*m in the form w*m + y*m**2 + b and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -286, -285, -274, -247, -198, -121, -10?\n\"Answer: z**3 - z**2 - 3*z - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*d = -119 + 938 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**2\/2 + 7*l - 3. Let t be j(-7). Solve -13 = 3*m - h - t*h, -5*m = 3*h + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 167\/4. Let k(w) = w**3 - 5*w**2 + 5*w - 2. Let q be k(4). Let g = q - y. Which is the third smallest value? (a) g (b) -2\/9 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2838)\/4257*(-9)\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-2)\/(-1)*-1. Let m = 3 + -4. Which is the third smallest value? (a) n (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 = -5*p. Let r(f) = -2*f - 8*f**3 + 7*f**3 - 5*f**2 + p + 4*f. Give r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 minus 4162724?\nAnswer: -4162723.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 19 = 17. Do h and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23 greater than 2275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 120 = -4*c, -2*c = 5*p + c - 532. Let g be (80\/15 + 4)*(-150)\/(-175). What is the greatest common divisor of p and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*v + h + 24, h = -v. Factor 0 + 84*r**v - 80*r**3 - 16*r**2 - 8 + 20*r.\nAnswer: 4*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbb when four letters picked without replacement from llblblblll.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56\/5 + -397\/35. Let z = 171528 - 1372223\/8. Which is the second smallest value? (a) 34 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-330)\/(-45))\/(3\/9). Suppose c*y = y + 336. What is the remainder when 56 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -928.5174649 - -1033.517452. Let q = j + -105. Round q to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-3856.6632\nAnswer: 38566.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-11245)\/(-38233))\/(-2*(-15)\/(-6))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 2 - (12 + (23 - 10) + -18 + -12)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*k + 32*k - 140. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25984*p + 25984*p - 3*p**3 - 3*p**2 in the form j*p**2 + w + a*p**3 + u*p and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, 2.345, -2\/57, 0.12 in descending order.\nAnswer: 2.345, 0.12, -2\/57, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 9*y**4\/2 + 4*y**3\/3 - 2*y**2 + 2*y + 2. Let p(t) = t + 5. Let x be p(-9). Let z be v(x). Round z to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 3 - 3)*((-6 - 4 + 7)*(8 - 6 - 13) + 0 + 0 - 2) in the form u*d + y and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3\/55, 0, 1.1, -6, 54?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 24. Is 5 - 2 - v\/(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2497, -2380, -2277, -2194, -2137?\n\"Answer: -u**3 - u**2 + 127*u - 2622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 + 14\/6. Let k be 2 + (-4)\/2 + 0. Solve 26 = f*m + 4*p, -p + 8 = m - k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*b - 5 + 115*b - 236*b.\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -122450238.\nAnswer: -1\/40816746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1353 - -14232455?\nAnswer: 14234252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/48*8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 4*o - 9 + 2 + 4*o**2. Let k(j) = -10*j**2 + 5*j**2 - 3*j - 6 + 8*j**2. Let s(v) = -5*k(v) + 4*u(v). What is z in s(z) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -910.1 - -910.4. Which is the second smallest value? (a) -0.2 (b) 0.05 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6*v - 1 = 49, -2*v + 6 = -x. Let m(d) = -d**3 - d**2 - d + 11. Calculate the remainder when m(0) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0389 - 7993512.\nAnswer: -7993511.9611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 - 7*j + 2. Let l(x) = -x**2. Give i(a) + 5*l(a).\nAnswer: -a**2 - 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2149 - -5836. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8256842 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 527826 by 39.\nAnswer: 13534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4361)\/(-161) - (8\/92 - -7 - 7).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010200 (base 3) in base 6?\nAnswer: 54113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.1. Let h = -1 - -4. Let l = -153 - -153.5. Which is the closest to n? (a) l (b) h (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 580905 and 8937.\nAnswer: 580905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26627*l**2 + 26475*l**2 - 53097*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*k. Let a be (-14)\/21 - (-8)\/k. Let r(s) = 17*s**2 - 1. Let q be r(-1). Solve 0 = a*w + 7 - 3, 2*w + q = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - 9 = -v, -2*m - 6 = -5*v. Let h = -5 - -2. Let z = v - h. Put 4, 2, z in decreasing order.\nAnswer: 4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(2\/9)))**(-1\/26))**10\/((w**(-2\/5)*w*w)\/w*w**(4\/7)*w)**22 assuming w is positive.\nAnswer: w**(-195974\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 14*i**2 - 108*i + 553. Give w(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1094?\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 127, 285, 509, 799, 1155?\nAnswer: 1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2*d + 2*d + 5*d + (-1 + 3 - 1)*(0*d + 0*d - d) + 3*d + 0*d - d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) -2\/9 (c) -4 (d) 1417.5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 29*z + 74. Let x be l(22). Let r = x + 207. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-33)*(-63)\/(-49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -120*s - 15920. Calculate f(-142).\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 11*k - 2. Let v be o(-7). Let q = v + 50. Solve 4*t + t = -q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/18 (b) -3 (c) 2\/5 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128318470 and 560?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3645 (base 8) to base 2\nAnswer: -11110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.47 - 1.97. Which is the closest to -4? (a) 0.2 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 50 = 9*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 - (4 - 10 - -35)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2966, -2968, -2972, -2978, -2986, -2996?\n\"Answer: -x**2 + x - 2966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-33)\/(-2))\/((-5)\/(-10)) and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ad0 + -e?\nAnswer: -5ade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**5\/10 - 7*d**4\/2 + 75*d + 39. Let k(r) be the first derivative of w(r). What is the third derivative of k(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2*n + k**2 - 12*k*n**3 - 501*n**3 wrt k.\nAnswer: 4*k*n + 2*k - 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3\/2 (b) 2\/13 (c) 10 (d) 5 (e) 88\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + (sqrt(34) - (sqrt(34) + sqrt(34)*1)))*4 + sqrt(34))\/sqrt(2)*-1.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. Suppose 0 = -8*f + p*f. Solve q = -f*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 1. Let u(c) = c**2 + 4*c - 3. Let b be u(q). Let l be (12\/10)\/(2\/5). What is the nearest to -0.1 in b, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000184756062 to seven dps.\nAnswer: 0.0001848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*c = 91*c + 13585. Suppose 12*g = -119 - c. Sort 5, 2, g.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -1\/43 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 14*v**2 - 5*v + 16. What is the units digit of h(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4877.1 (b) 1\/3 (c) -4 (d) -1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 6768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/40)\/(39\/(-195)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.6. Let n = -73 - -71. Which is the second smallest value? (a) t (b) n (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -480 (c) -2\/7 (d) 2 (e) -7 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 13*k - 28. Let l be n(-12). Let p be 72\/l*(-8)\/18. Is 2\/15 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 838*i**2. Let m(f) = -226*f - 84*f - 78*f + 377*f. Determine m(t(l)).\nAnswer: -9218*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 = 522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 3*s**2 - s**2)*(0 + 2*s**2 + 0) + (s**2 - 4*s**2 + s**2)*(-17*s - 10*s**2 + 17*s) + (2 - 3 - 1)*(2*s**4 - 3*s**4 + 0*s**4).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17370179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9192 - -9189. Which is the second biggest value? (a) 20.1 (b) k (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-6)\/24 + (-9)\/(-12)). Let t be l\/(-2)*(-2 - 12). Is 7 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 5, 3, 1298, 0 in decreasing order.\nAnswer: 1298, 5, 3, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1063, 2047, 2885, 3511, 3859?\nAnswer: 3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a. Let y be x(3). Let k(q) = 2*q**2 + 4*q + 1. Let g be k(-6). Let u = g + y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30577 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 7*n - 5*n + 0*n - 2*n**3.\nAnswer: -n**3 - 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167\/4 - -42. Let q be ((-8)\/(-20))\/((-3)\/(-15)). Let f = q + 1. What is the nearest to c in 1, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -520 + 495. Let i(y) = y**3 + 25*y**2 + y + 21. Let m be i(o). Sort m, 13, 0 in ascending order.\nAnswer: m, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 12, -2\/123, 0.4 in ascending order.\nAnswer: -32, -2\/123, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13378869 is divided by 626.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 26. Let f = 9 + x. Is -3 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1811, -3424, -4817, -5984, -6919, -7616, -8069, -8272?\n\"Answer: n**3 + 104*n**2 - 1932*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 6*g**2 - 7*g - 5. Let h be v(-5). Let s = 9 + h. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(816\/80))\/(195\/6).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-50)*140\/(-42)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*t**3 - 131802*i*t**2 - 9*i*t + 937*i + 7*t**2 + 302 wrt t.\nAnswer: -18*i*t - 263604*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14981 + -5506. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 1:00 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6850397000.\nAnswer: 2, 5, 311, 22027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 56 - (-1 + 1)*-1. Let a = 59 - k. Suppose c + 0 - 4 = t, -3*t - a = 4*c. Calculate the greatest common divisor of 6 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 - p - 2. Is 12 a factor of h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-1)\/(-15)). Suppose -7 = -3*c + 5*a + 28, -2*c + 40 = i*a. Solve -4 = -k + 5*m + c, 5*m = -k - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7*m + 39 = 4*m, 4*m = -28. Sort -34, -0.3, -1, q, -3 in increasing order.\nAnswer: -34, q, -3, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 179397*c**2\/8 + 44849*c - 1\/2.\nAnswer: (c + 2)*(179397*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 63 = -5*n. Suppose 8 = -0*o + 2*o. Solve n*x = o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000843 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 0*m**2 - 32\/9 + 2\/9*m**4 + 32\/9*m - 8\/9*m**3 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 341 + -234. Let u = o - 89. Solve -w + 4*v - 5 = 14, 2*w + u = 3*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1140\/(-616))\/19*(-52)\/(-39)*7.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 2*b + 13. Let m(o) = -7*o**2 + 96*o + 34. Let p be m(14). Give y(p).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 4*f**7\/21 + 421*f**6\/15 - f**4\/6 + 7459*f**2\/2 + 3620*f. What is the third derivative of h(t) wrt t?\nAnswer: 480*t**2 + 20208*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Suppose -2*t - 2 = -4*h, 4 - 2 = 2*h. Suppose -4*y - 22 = 5*k, 5*k - 4*y - 1 = t. Calculate r(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*v - 68. Let k = 37 - v. What is the remainder when 48 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -191*v + 3403. Let c be h(23). Is -2966\/3 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = 2. Suppose -3*l = -z - 3. Solve l*d + 2 - 7 = 3*n, 3 = n - 3*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114205478 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*g - 4, -g + 3*g = -u + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcr. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 55 = -4*y - 67, -5*z = -9*y - 31 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25631069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137292825 not equal to 137292825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, -92, 0.5 in descending order.\nAnswer: 0.5, 0.1, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 10) to base 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2\/4462247, -1.1 in increasing order.\nAnswer: -1.1, 2\/4462247, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(21)\/((sqrt(7) + -3*sqrt(7))*-3))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179*c**4 - 15322 + 15320 - c**2 - c**3 + 180*c**4 + 49*c to the form z*c**3 + n*c**2 + t*c**4 + m*c + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46828073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2475\/6 + (-5)\/10. Suppose -u + x = 95. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-122)\/(-8) + ((-2)\/(-8))\/(-1). Let v = 0.209 - 0.509. Which is the closest to w? (a) 3 (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5781 + 23?\nAnswer: 57a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 29*j + 17*j + (1 - 1 + j)*(-2 + 0 - 4) - 4*j + 0*j + 5*j)*(-2*j - 2*j + 2*j).\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*f - 391*f - 8*f - 255*f + 2 in the form r + w*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2466 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*z**4 - 2997*z**3 + 2826162*z**2 wrt z.\nAnswer: -3768*z - 17982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14709989 to the nearest integer?\nAnswer: 3835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 79744 - 2*n + 79969 + n in the form a*n + d and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-56))\/((-2664)\/592)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 650\/(-260)*(-3 + 1) + 5011*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5368 and 28609?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*l**2 - l - 20*l**2 - 2*l**2)*(15*l + 2*l - 26*l).\nAnswer: -18*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 6) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from yssysksyyysssyssssy?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -9, 2*m = -2*h + 20 - 4. Solve -m*i + 3*f - 2 = 19, -2*f = -i - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1246.4 in 1\/2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 4.2.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 69 - 9. Let y be 12\/(-10)*(-50)\/l. Suppose -y*v = -4*v + 8. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19888329.\nAnswer: 3, 31, 79, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-874770)\/(-36)*3 + (-40)\/(-16). Round n to the nearest one thousand.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2149228.7 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 29 = -5*w, -4*l + 7 = -2*w + 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1219 to 3 decimal places.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 8*g - 9*g - 10, 15 = -2*g - y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/3 + 26*j**3 - 210*j**2 - 882*j = 0?\nAnswer: -3, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a*a\/(a*a**(-2\/5)))\/((a\/a**(4\/13)*a)\/(a\/((a*(a\/(a**(-4)\/a))\/a*a)\/a))) assuming a is positive.\nAnswer: a**(-799\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzndzzzy. What is prob of sequence yn?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 4) to base 3\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 388.9243 + 0.0757. Let n = -388.6 + d. Suppose 2*i = -3*i. Sort 1\/4, -4\/7, n, i in decreasing order.\nAnswer: n, 1\/4, i, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z + 74. Let q be o(-8). Suppose -18*f = -q*f - 320. Solve 2*b + 8*b + f = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and (3\/(-3))\/(1\/(-25)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18)\/p)**(1\/21)\/(p\/p**(-4\/15)*p*p**(3\/4)) assuming p is positive.\nAnswer: p**(-549\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3685, -7134, -10349, -13330, -16077?\nAnswer: -18590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -701 + 746. Calculate the remainder when n is divided by 3\/(-6) + (-94)\/(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*o - 12 = 0, -5*x + o - 2*o + 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 8. Let v be t(6). Let u = -1462 + 1465. Suppose 0 = -4*p + v*g + g + u, 3*p - 4*g - 2 = 0. What is the third biggest value in -0.01, p, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 439*k - 3348. Give o(8).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:41 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 11*b - 7. Give s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02168 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 607540\/(-111)*72\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11123 and 45017959.\nAnswer: 315125713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*b + 50. Let k(p) = -15 + 9 - 2*p**2 + b. Give k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -87*o**2 - 21*o + 94. What is k(5)?\nAnswer: -2186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o + 5. Let i be b(3). Suppose i*h - 6*h = 35. Suppose -2*x - 100 = -h*x. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -198*r**2 + 21*r + 24. Let g be (3\/(-2))\/((-51)\/(-544)). Let d be k(g). What is d rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.41 + 2.31. What is the third smallest value in 2, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w + 4. Let x(s) be the second derivative of 2*s - 1\/4*s**w + 0 - 3\/2*s**3 - 3*s**2. Find j, given that x(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 21*s - 122. Let v(f) = -9*f**2 + 43*f + 245. Let r(h) = 5*c(h) + 2*v(h). What is the units digit of r(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -22. Suppose 164 = v*w - 2*u, -5*w - 3*u + 167 + 38 = 0. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 851885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**3 - 31*r**2 - r + 41. Let s(k) = 15*k**3 - 34*k**2 - 2*k + 41. Let n(z) = -6*q(z) + 5*s(z). What is n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 3, 0 in descending order.\nAnswer: 7, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*3*sqrt(19))**2*-4*-6*2.\nAnswer: 65664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 7*b + 105. What is the tens digit of 14\/(-49) - 240*1\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 10. What is the units digit of k(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32656489.\nAnswer: 32656489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 169*j**3*m + 7*j**3 + 2*j**2 - 5*j*m*p**2 - 2*m*p**2 + 29*p**2 wrt m.\nAnswer: 169*j**3 - 5*j*p**2 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.2 (c) 457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633627512?\nAnswer: 2, 3, 11, 17, 121333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1\/6 (c) 2\/19 (d) 1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 4*z - 3. Let b(f) = 3*f**2 - 3*f - 2. Let x be (8 + 0)\/((-7)\/7). Let h = -1 - x. Suppose h*r = 4*r - 15. Determine r*b(t) + 4*d(t).\nAnswer: t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -18*g**5 - 12016*g**4 - 6626*g**3 + 29332*g**2 - 10672*g = 0.\nAnswer: -667, -2, 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 take away -304616783615?\nAnswer: 304616783613.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47958 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20301 - 13075. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 33936.\nAnswer: 33935.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2130901819 to the nearest integer?\nAnswer: 46162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, w: 1, m: 5, p: 5}. Give prob of sequence mw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - -2 - 64\/35 and -17\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1375*q - 1375*q - 22*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(8\/9)*n**(-1\/12)\/n)\/(n\/(n**3\/n)*n\/(n*(n*(n\/n**12)\/n)\/n*n*n*n)*n) assuming n is positive.\nAnswer: n**(-331\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008564 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + v**2 + 0*v**2 - 16 - 4 - 179*v - 22 + 49.\nAnswer: 2*v**2 - 179*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -36, -24, 2, 48, 120, 224, 366?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -520*m - 1627. Calculate the least common multiple of q(-4) and 12.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -3*z + k, 4*z + 2*k - 94 = -4. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*c**3*u + 14589*c**2*u + 756*u - 1026 wrt c?\nAnswer: -258*c**2*u + 29178*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5765 = -w, -w + 1915 = o - 0*w. Suppose d + o = 21*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -341*v + 687*v + 8 + v**2 - 339*v - 30. What is k(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 296 - 295.8. Which is the biggest value? (a) h (b) -13 (c) 1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-4 - 1 - (122 - 122)) + 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1649 = 5*u, -4*u = -3*b - 1070 - 597. Let g = -250 - b. Calculate the remainder when g is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13))**2 + -1 - sqrt(13)) + 0 + (sqrt(1300) - (sqrt(1300) + -1)) + 5.\nAnswer: -3*sqrt(13) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 7*g**4 - 3*g**2 + 5*g**4 + 2*g**2 + 4*g**4 as k*g + o*g**2 + u + n*g**3 + a*g**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 - -132. Let b be (c + -21)*(-2)\/(-8). Suppose 0 = b*a - 4*x + 2, 0*a - 3*a + 17 = -x. Solve -8*w + a*w = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 2*n + 3. Let k be i(4). Let h(x) = x**3 + 5*x**2 - x - 2. Let p be h(k). Find the first derivative of 3*f**3 - 4*f**p - 1 + 2 wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f + 55 = 535. Suppose 0 = 8*a - 4*a - 2*g + 8, -2*a = 5*g - f. Let i be ((-1)\/(-2) - 0)*6. Solve 3 + a = -i*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 141*v**4 - 8 - 139*v**4 + 199 - 72*v**2 wrt v.\nAnswer: 8*v**3 - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*j**2\/5 - 14262*j\/5 - 1944\/5 = 0. What is j?\nAnswer: -324, -3\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190673?\nAnswer: 7, 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*k - 260*k = -h + 30095, k = h + 15052. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/((-108)\/(-30)))\/1*(-20)\/150\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 5:30 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56306933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88609597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20 = -10. Suppose 0 = -0*u - 2*u + i. Suppose -2*n = a - 6, u*n - 3*a + 4 - 8 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6 - (-10 + 12)) + (19 - 39) + -60\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-3))\/((-4)\/(-24)). Let f be (1 + 1)\/((-1)\/k). Round f to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 909638 and 564.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*d - 315*d**2 + 135*d + 167*d.\nAnswer: -315*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -54*p + 4. What is the tens digit of s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*((-v + 0*v + 2*v)*(0 + 0 + 1) + 0 + 0 + 6*v)*(2*v + 0*v + 0*v).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*(-37)\/(7252\/84)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 21 = -12*o + 5*a, -5*o + a + 10 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 962 + -956. Solve 6*k - s*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 9*s**2 - 8*s + 5. Let k be j(8). Let g be (-15)\/50*k\/6. Let z = -3 - -5. Which is the third biggest value? (a) z (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/24 - 5*o**3\/6 - 4*o**2 + 3875*o. Solve i(j) = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5 + 7 + 0 - 1039*b.\nAnswer: -1039*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110021 + -2101?\nAnswer: 100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 11:37 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, 10, -2\/17, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665666?\nAnswer: 2, 3, 37, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231348.\nAnswer: 2, 3, 13, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2808 by -18.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 41, 4905.\nAnswer: -4, 41, 4905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*h)*(-43*h**3 + 102*h**3 + 0*h**3).\nAnswer: 118*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 40 = 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 + 300*n - 592 = 0.\nAnswer: 2, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16)\/(((-18)\/(-8))\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4562 or -53869?\nAnswer: -53869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + z + 2*z. Let c be b(-6). Let v = c - -8. Solve -2*q - q = -4*t - 17, -v*q = 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.7 - -26.699999479. What is o rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642704722?\nAnswer: 2, 11, 29213851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:32 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 210 = 40*d. Let a(m) = m**3 + 3*m**2 - 28*m - 2. Give a(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (104\/6)\/(2\/6). What is the third derivative of m + 5*o**2 - 52 - 5*o**6 wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(8\/5))\/((v*v\/(v\/(v\/(v*v**(3\/2)*v))))\/v))\/(v**(-5)\/(v\/(v**(-1\/4)*v))) assuming v is positive.\nAnswer: v**(207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjimhjjhjejh. Give prob of sequence jij.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, o: 2, h: 3}. Give prob of sequence oy.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101111000011?\nAnswer: -101111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -2349125?\nAnswer: -469825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9665042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 - 165. Let s(m) = 104*m**2 - 7*m + 4. List the prime factors of s(r).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*p**2*s**3 - 13*p**2*s + p*s**3 + 95*p*s wrt p?\nAnswer: -22*s**3 - 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 13*s - 9. Let d(z) = z**2 - 12*z + 9. Let v(g) = -2*a(g) - 3*d(g). Suppose -j = 4*j - 35. Does 4 divide v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4126458?\nAnswer: 2, 3, 7, 19, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19763812?\nAnswer: 2, 541, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 4:03 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 407, 594, 775, 950, 1119?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 243*h**2\/5 - 12621*h - 191502\/5 = 0.\nAnswer: -3, 21278\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 + 210. Suppose -15103 = -3*t + n*r, 0*r + 25162 = 5*t + 3*r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2040*i**5 + 97*i**4 + 23*i**2 + i + 7979.\nAnswer: -122400*i**2 + 2328*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7044 + -2973. List the prime factors of o.\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k - k - 2*k - 2242 = -0*k for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -5\/24*s**4 + s**3 + 1\/60*s**5 + 0 + 0*s + 6*s**2. Let c be a(6). Solve -4*o + b = 3*b + c, 0 = o + 4*b - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 868*q**2 + 189*q**2 - 125*q**2.\nAnswer: 932*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2134\/3 + -710. What is the fourth smallest value in 0, 20.2, f, -0.4?\nAnswer: 20.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 11*c**3 + 5*c - 5*c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28843400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-56)*2*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7837970*q + 7911205?\nAnswer: -7837970","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 79988990\/(-8). Let i be (42\/(-28))\/(473555956\/(-118388992) + 4). Let p = v + i. What is p rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 24 - 4. Suppose -z - 5*h - 16 = 0, 2*z - 2*h = -7 - 1. Let c = z - s. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let l(g) be the second derivative of 37*g**7\/1260 + 17*g**4\/6 + 74*g. Let q(c) be the third derivative of l(c). Calculate y(q(b)).\nAnswer: -74*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*b + 34*b - 435. Solve 0 = 10*i + 21 + b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 51*n - 753. What is j(48)?\nAnswer: 1695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(52)\/sqrt(4)*5*3)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:02 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 9. Let c be d(-4). Let j be (-56)\/(-3 + -1) - 2. Solve c*l = 2*l + j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379447897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:59 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 - 117c81?\nAnswer: -117c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 373125914 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + (sqrt(17)*1)**2 - ((-1*sqrt(119))\/sqrt(7)*-1)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 3, q: 2, n: 2, a: 4}. Give prob of picking 1 n and 1 a.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49098583*g**3*o**3 - 6*g**2*o**2 + 22*g**2 - 2*g*o**3 + 617*g*o + o**2 - 2*o wrt g.\nAnswer: 294591498*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2 = 3*p. Let h be -3 - (p + -15 + 0). Let x(w) = 9*w - 18. What is the units digit of x(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4*m**3 + 220707*f**3*m**3 + 2*f**2*m**2 + 3*f*m**3 - 4844*f + 6*m**2 wrt f?\nAnswer: 48*f*m**3 + 1324242*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7767 is divided by 1096?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3\/3 + 38*s**2\/3 + 64*s\/3 + 22\/3 = 0. What is s?\nAnswer: -1, -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxiyakx. What is prob of picking 1 u, 1 k, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/67078 and -89\/164.\nAnswer: 5500396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - 10*o**2 + o**2 + 0*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.026, 0.1, 12\/4135, -28, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -395837 (base 10) to base 12.\nAnswer: -1710a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 - 15 = 2*d, 3*d = -4*g + 9. Let n = d + 1. Let w(m) = m**3 - 10*m**2 + m + 1. Let y be w(10). Solve u + y = -2*p - n*p, -31 = 5*u + 2*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*j**3 - 135*h**3 + 2*h**2 - 29404*j**3 + 111*j wrt j.\nAnswer: -6*h**3*j - 176424*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let t(s) = 13*s + 23. Let o(p) = 4*p + 8. Let k(c) = -17*o(c) + 6*t(c). What is k(q(a))?\nAnswer: 20*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-51)*(35\/(-63))\/((-80)\/48).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r**2 - 2*r - 3. Let x(u) = u**2 + u + 1. Let b(k) = -4*x(k) - z(k). Let q be b(2). Suppose 5*j - 7 - q = 0. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 419*j + 14396. Give k(-32).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -3*i**4\/4 + 275*i**3 - 1641*i**2\/2 + 819*i - 3710. Factor j(u).\nAnswer: -3*(u - 273)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwzzfgwzzg. Give prob of sequence gw.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*5\/((-240)\/122))\/(-100*(-57)\/4560)?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.58 + -8.8. Let x = 16 + -20.5. Let b = x + a. What is b rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(360))\/(sqrt(8) + sqrt(968)*-1).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 - b**2 - 2*b + 2. Let x = -3 - -1. Let d(t) be the second derivative of t**5\/20 + t**4\/12 + t**3\/6 - t**2\/2 + 5*t. Give x*d(z) - m(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 28*l**2 - 44*l - 82. Give t(26).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13088394 to the nearest integer?\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930*d - 57344 = 2978*d for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/18 - (-16)\/6. What is the first derivative of -7 - 6*n**m + 3*n**2 + 4*n**2 + 13 wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/7))**22\/((u\/u**(-5\/3))\/u*u*u**(5\/6))*(((u\/((u**1*u)\/u))\/u*u)\/u*u)**(-1\/6)\/((u\/u**(-5))\/((u\/(u*u**0))\/u)) assuming u is positive.\nAnswer: u**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 799 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -11. Let z = -23 - -33. Suppose 4*m = -2*y - z + 32, 5*y = -2*m + 15. Sort -1, b, m.\nAnswer: b, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.1, -2\/21, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Suppose 20*j = 47*j - 54. Let a(q) = 225 - 221 - j*q - 5*q. Determine x(a(v)).\nAnswer: -14*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -292086\/55?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 401431 and 1.6.\nAnswer: 401432.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d**(2\/3))*((d\/(d\/d**(-3\/2)))\/d)\/d*d*(d*d**(-3\/8)*d*d*d)**(-1\/50) assuming d is positive.\nAnswer: d**(-2687\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 2*d**2 + 29*d + 49. Give p(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647179645 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(605)) - (sqrt(605) + 1)*-5 - (1 + (sqrt(605) - (2*sqrt(605))**2) + sqrt(605) + -1 + sqrt(605) + sqrt(605) + -4).\nAnswer: 55*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -5*i + 8730. Let y = i - -24865. What is y rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.12*-117\nAnswer: 248.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmloxxlxmmllom. Give prob of sequence mlox.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 609 - 324. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3221 and -2476.\nAnswer: 3273.5196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*w + 3*w. Let i = 59344052\/8723 + -88444\/13. Let n = 2\/61 + i. Is w smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*h - 18 = -3, 0 = 3*a + 4*h + 11 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -12.5. Let h be (16\/7 - 2)\/(-2). What is the third smallest value in -4, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {p: 1, d: 1, z: 2, c: 2, m: 1, h: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v + 41 + 41 = -115*v + 2 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b6eea - -5?\nAnswer: 7b7000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 28 - 13 = 3206565*f - 3206567*f, f = -5*g - 4*f + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -70*b**2. Let q(x) = -3*x**2. Give q(w(m)).\nAnswer: -14700*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -10*j + 416. Let x = 36 + j. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, v: 4, g: 3, j: 2, a: 1}. Give prob of picking 1 a and 3 l.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppeeeeppeeeeppppeppe. Give prob of sequence pp.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*n - 0*n + 55 - 250 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -22*v**2 + 3*v - 3. Suppose 2*l - 5*c + 12 = 0, 0 = 2*l - 6*l - 4*c + 32. Let s(i) = i - 1. Let k(x) = l*s(x) - b(x). Is k(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 966, -0.1, 0.5.\nAnswer: -0.1, 0.5, 966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 3*a + 3*a)*(30 - 26 - 140).\nAnswer: 272*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -20.7. Let v = -18.272649 + 20.57263. Let m = x + v. Round m to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/(-7) + 3\/(-7). Let c be (-156)\/(-3)*2\/s. Let m be 4\/c - (-196)\/91. Solve -4*z + 41 = 5*x, 0 = 3*x - 5*z + 3 + m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4415 - -10062. Let h = -3866 + u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6554058 to the power of 1\/2, to the nearest integer?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-135628164)\/205 + (-8)\/(-10). What is q rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 - 165. Put u, 2\/5, -0.7, -1\/3 in ascending order.\nAnswer: -0.7, -1\/3, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 1. Let h be b(-1). Let s(p) be the second derivative of -211*p**3\/6 - 9*p**2\/2 + 16*p. Is s(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 - 14*n**3 - 5*n**2 + n + 2*n**2 + 15*n**2.\nAnswer: -14*n**3 + 23*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82365128746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18871 not equal to -18871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = 4*c + 65, -2091*s = -2*c - 1953*s + 690 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351*r - 1361*r - 30 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(12))\/sqrt(11) + sqrt(192) + -5.\nAnswer: -5 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6740?\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -80169751.8 to the nearest one hundred thousand.\nAnswer: -80200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144.50402 + -26.84092. Let m = -6.345 - g. Let s = 124 + m. What is s rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from hrrhhrrhhhrrr?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -24 (c) -0.785 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 25*h**2 - 9*h + 4. Let u(m) = 6*m**2 - 2*m + 1. What is 2*r(a) - 9*u(a)?\nAnswer: -4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24*(11 - 2\/(-2)). Let l = 162 - x. Let n = 146 + l. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257933 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from zyzyhyzhrhzyy?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 619865138 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 57404 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5804.39322 - -2.823\nAnswer: 5807.21622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 96 = 4*l - 2*l, 1441554*l - 1441558*l - p - 196 = 0 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 136c08 (base 16) to base 14\nAnswer: 251c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*k = 30, -5*k + 6 = 3*j - 4*j. Let w(y) = -9*y - 6. List the prime factors of w(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffjfj. What is prob of sequence jff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + 4 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90\/157 or 1\/2?\nAnswer: -90\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 14*w + 3*j - 4877, 3*j + 6835 = 7*w. What is the remainder when w is divided by 264?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*123\/2788*-17*(32\/(-6))\/4.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let d = -6 + t. Let m = d - -3.5. Which is the nearest to -1? (a) 5 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7*o - 220 = -3*o, -2*o - 226 = -4*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - a - 15553 + 0*a + 2*a.\nAnswer: a - 15553","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-15)\/(-9))\/1. Let b(m) = -2*m**3 - 2*m**2 - 5*m + 4. Let u(f) = -2*f**3 - 3*f**2 - 6*f + 5. Let s = -3 + 7. What is q*b(k) + s*u(k)?\nAnswer: 2*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 - -143?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1448 - 1454) + (1 - (2 + -36)) + 9 + 0.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzcl when four letters picked without replacement from {z: 1, i: 4, l: 2, h: 1, u: 2, c: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-2)\/4 + ((-78)\/22)\/((-281)\/3091)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/8*(-32)\/(-6). Let j(q) be the second derivative of q**2 - 5\/3*q**3 + 11*q + 0 + 1\/12*q**4. Calculate j(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209.619 decades to millennia.\nAnswer: 2.09619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**6\/60 + h**4\/6 - 9*h**3 + 17*h**2 + 2*h. Find the first derivative of s(x) wrt x.\nAnswer: -6*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82199?\nAnswer: 13, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1679.999998126 + 1680. Round r to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 14, j: 4}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8180 and 8180.\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 91*c**2 - 13*c. Let g(t) = 15*t**2 - 2*t. Let p(m) = -53*m**2 - 164*m - 17. Let u be p(-3). Calculate u*n(s) + 13*g(s).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*p - 29, 2*p = -0*y - 3*y + 25. Solve y + 9 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/9 + 18\/2. Suppose 0 = 3*z + 5*u - 375, 3*z - 3*u - m - 346 = 0. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (6 - 3 - (2 + -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 7 + 3, 5*v - 60 = 5*g. Let x be (-7)\/2*(-3)\/g. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 9*p**2\/2 - 43. Let b(t) = -17*t. What is -4*b(c) - 7*n(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/4 - 2\/(-8). Let c = -1227 - -2455\/2. What is the nearest to c in -0.15, r, -2\/7?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41\/2 of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 3 + 30 = 0. Let u = 25 - 18. Find the second derivative of -m - 2*m - u*m**4 + m**4 - d*m wrt m.\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9125 - -0.7. Let b = z - -0.24. Round b to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 573.\nAnswer: 5157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((728\/(-234))\/14)\/(2\/504)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15110 + 44618\/3. Suppose 5*s - 207 = 3*j - 1367, -2*j = 5*s + 1185. Let b = s - w. Which is smaller: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1683504*l + 7 = 5*c - 1683503*l, -3*l = 4*c + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 2*q - 15, 0 = 4*i - 2*q + 2. Solve 3 = -m - i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 145.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - b**5 + 9*b**5 + (-b**5 - 1 + 1)*(6 - 4 + 1) - 32*b**5 + 6*b**5 - 35*b**5.\nAnswer: -56*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3803 + -79819\/21. Let r = -63595\/2634 - 10\/439. Find the common denominator of r and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewppf. What is prob of sequence wf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675570 is divided by 937.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v + 2*c - 58, 0 = 2*v - 3*c - 95. Let g be (-2)\/(5\/120*4). Calculate the least common multiple of v and (56\/(-21))\/(2\/g).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 320 = -21*b. Let w = 62 + b. Which is smaller: 158\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114532, 229331, 344132, 458935?\nAnswer: 573740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 - 3*s - 29 - s**3 + 62 - 2*s**2 - 32 in the form v + b*s**2 + x*s + r*s**3 + p*s**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from {u: 3, j: 3, g: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9801\/242 + -39)*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1)\/(-12) - 23\/276.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5335670.7430415 + -5335672. Let v = o - 239.7384315. Let j = 241 + v. Round j to 4 decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + l + 0*l + 6 = 0, 5*l + 2 = u. Let z(b) = -b - 4. Let c be z(-6). Is (2\/u)\/(c\/38) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/(b**(-3\/10)*b))\/(b**1*b**(-3\/7))*(((b\/(b**2\/b))\/b*b)**(-45))**(-4\/9) assuming b is positive.\nAnswer: b**(-369\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, 14, 62, 108, 152, 194, 234?\n\"Answer: -i**2 + 53*i - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111.43 - -115. Let q = 0.43 + p. Which is the second smallest value? (a) 0.8 (b) -1.6 (c) q (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -45*o**2 + 2. Let b(a) = 51*a**2 + 98 - 218*a**2 + 31*a**2 - 91. Calculate -2*b(i) + 7*k(i).\nAnswer: -43*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-441)\/420)\/((-3)\/(-4))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109257285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**4 - 9*p**4 - 63*p**4)*(5 + 4*p + 0 - 4) + 3*p**2 - p**5 - 3*p**2.\nAnswer: -269*p**5 - 67*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 371544 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 2*a - 3*a + (3 - 1 - 1)*(9*a - a + 3*a))*(25*a**2 + 23*a**2 - 10*a**2) in the form q*a**3 + x*a + i + v*a**2 and give q.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*o + 2, 2*h - 3*o + 6 = -0*o. Suppose -1 = -h*t + 11. Suppose 0 = -2*g - 3*g + 5*q + 505, -4 = t*q. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 812, 1797, 3124, 4763?\nAnswer: 6684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1875.99997589 - -1876. Round m to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (1 - (14 + -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2. Let z(o) = -4*o**2. What is -6*k(u) + 13*z(u)?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 3*b**2 + 0*b**2)*(136*b**3 + 19*b**3 + 141*b**3) + (0*b**2 + 6*b**2 - 4*b**2)*(b**3 + 2*b - 2*b).\nAnswer: 1482*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 4, -32, 33 in decreasing order.\nAnswer: 33, 4, 1, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 688579181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24617654 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231.3 - 257. Let s = q - -26. Which is the closest to -0.13? (a) s (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 6 = 3*y, -3*y + 6 = -3*o. Let t(i) = -7*i**2 + 2*i**2 + 4*i**2 + 7*i**y. Let a(s) = 3*s**2. Calculate a(t(d)).\nAnswer: 108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*n - 19*n**2 - 30*n**2 + 48*n**2 + 105*n as g + a*n + l*n**2 and give a.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 568*c**3 - 19868*c**2 - 42452*c - 888.\nAnswer: 4*(c - 37)*(c + 2)*(142*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -34. Suppose -4*k - 16 = -2*o + 8, -5*k = 25. Solve -d*v - 5 = v + o*s, s - 11 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/120*35)\/(51\/306).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11470 by 43.\nAnswer: 11470\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 8. Let a(h) = -h - 4. Let i be a(7). Let s be d(i). Let n be (4\/s)\/((-4 + 0)\/(-12)). Solve 0 = -n*o + o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*((-296)\/24 - -13). Let d(z) = z. Let c(v) = -v**2 - 4*v + 9. Give t*d(u) + c(u).\nAnswer: -u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.715037 rounded to 2 decimal places?\nAnswer: 1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 9*g**2 - g - 6. Let x be k(-9). Sort x, -5, -1, 5.\nAnswer: -5, -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 g when four letters picked without replacement from gggugggguuuggg.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204227*x - 2021 - 1269 = 203569*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000110432 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 294, 418, 526, 618, 694?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/76 and 32\/19269401.\nAnswer: 77077604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 6*v**2 + 1. Let j be u(-6). Suppose h = -5*c - 0*h - 790, -5*c = -2*h + 775. Let d = 168 + c. Solve -4*f = -j - d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*-2*(-10)\/(-20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258 and 35094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 110170?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:26 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 2*y + (0 + 0 - 2)*(0*y + 0*y + y) + ((-5 - 1 + 4)*(-3 - 1 + 5) - 2 - 2 - 1)*(-y + y + 3*y))*(-3*y + 1 - 1).\nAnswer: 75*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 6518 + 23100*y + 612*y**2 - 5019 - 2294 - 9885.\nAnswer: 4*(y - 1)*(y + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (13 - -6) - ((-473550)\/(-1792))\/(-33)?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -10. Let o be (2 + r)\/(1\/(-3)). Which is bigger: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 12*l - 95. Calculate z(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-39))\/((-2)\/6). Let h be ((-6)\/12)\/(1\/(-16)). Let r be (-6)\/(-4)*h\/12. Which is the closest to r? (a) -0.4 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 4. Let f be n(16). Let y be (-16)\/f*7\/(-2). Solve 0 = l - 5*s - 17, -8 = -3*l + 2*l + y*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from rxutt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.27499 - -2.25495. Let v = j - 3.54. What is v rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - f - 8. Suppose f*r - r = 18. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464 (base 11) to base 8.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*q**3 + 2*q**2 - 77*q - 19733?\nAnswer: -30*q**2 + 4*q - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1590 + -1578. Solve -2*p = -y*v + 7*v - 18, -2*v = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134, 316, 604, 986, 1450?\n\"Answer: -2*b**3 + 65*b**2 + b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -305 - -172. Let r = -66 - j. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -172*1\/(-28) - 6. Which is the biggest value? (a) -2\/13 (b) -2.6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -4\/11, 47?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 5*t - 12. Let z be k(-7). Suppose -z*c - 11*c + 6500 = 0. Round c to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29387172?\nAnswer: 2, 3, 73, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)\/z**(-3)*(z**(-1)\/z)\/z**(5\/2) assuming z is positive.\nAnswer: z**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-10) + 10\/20. What is the closest to 2\/3 in -0.1, d, -0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 - 2*y**3)*(-382*y**2 - 281*y**2 + 201*y**2)*(1 - 4 + 4).\nAnswer: 924*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 154.24428868 to 2 dps.\nAnswer: 154.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (36053 - -3) + (-3 + -2)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 75. Let r(l) = 0*l - o*l + l**2 - 21 + 3*l. Is r(-5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 20 - 19)*(3*a + 0 + 0).\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2746*m = 2748*m - 4*v + 30, -m - 27 = -5*v for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43837*d + 5 - 43837*d - 6*d**2 + 11*d**2 - 4*d**2 - 5.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2*b**3 + 59*b**4 - 36*b**4 - 2*b**3 - 16*b**4 - 2*b to the form s*b**2 + a*b + p*b**4 + k*b**3 + w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 37*k - 24. Let b(z) = -9*z + 6. Calculate 18*b(q) + 4*o(q).\nAnswer: -14*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3\/7 + 127593*g**2\/7 - 1361309625*g\/7 + 98696826579\/7 = 0. Calculate g.\nAnswer: 73, 21229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:02 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1244 and 3\/452.\nAnswer: 140572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2415b (base 12) to base 3\nAnswer: 2110122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 287.01756728 and -0.1.\nAnswer: 286.91756728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -163, -245, -327?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 279 - 19. Let q = -158 - o. Suppose -5*g + q = -5*k, 4*g - 3*g + 2*k - 13 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 39*y - 40*y + 18, 3*s = 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 765474.781 and 0.3.\nAnswer: 765475.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 22*m - 7*m + 350 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-35))\/((8\/352*473)\/((-7)\/(-2))).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) -130 (c) 0 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/64)\/((-22)\/16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -10, 4, -5, 8, -42, -2 in descending order.\nAnswer: 12, 8, 4, -2, -5, -10, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76.5 - 80.5. What is the nearest to 1 in -0.199, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 535? (a) -1.93 (b) 0 (c) 5\/4 (d) 6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1355886732 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3260 + 3259.7724. Round h to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10997*y - 3598*y - 3471*y - 3686*y. Let g(q) = -7*q. Give g(f(l)).\nAnswer: -1694*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(2 + 0*r - 2*r + 0).\nAnswer: -4*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 - 175. Let f = 129 - i. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 955*y - 420*y - 538*y. Let u(h) = h**2 + 2*h. Let o be u(-3). Let c(w) = w. Give o*v(j) + 6*c(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 3*l - 12. Let v(t) = -t**2 + 1. Let r(w) = g(w) + 3*v(w). Let j be r(7). List the prime factors of (-1)\/(2\/(-2*j)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1172 - 4*f + 3*f - 4*f**3 - 1169 - 3*f**2. Let w(i) = 5*i**3 + 4*i**2 + i - 4. Let z(x) = 6*d(x) + 5*w(x). Solve z(p) = 0 for p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3 - -4.9. Which is the third biggest value? (a) 1 (b) 2 (c) 5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, -1\/7, -30, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*k - 6*k + 171, 3*k - 231 = -4*x. Let u = -58 + x. Sort u, 5, -1.\nAnswer: -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmwwwwwwmwwmw. What is prob of sequence mwmm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 545 + 3515?\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-156)\/(-240) + 2\/(-8). What is the closest to -0.1 in s, -0.009, 0.3?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 7*j**2 - 2*j + 17. Let u = 33 - 26. Let h be x(u). Suppose 7 - h = t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/1409? (a) -5 (b) -2 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3213 + 6415 = 100*u - 9672. What is the highest common divisor of u and 3667?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-6)\/(-8)*4\/(-18)). Let q be 1582\/10 - r\/(6*-5). Let c(t) = -77*t**2 - 85*t**2 + q*t**2. Let m(b) = 4*b**2. Give c(m(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 888*f**3 + f**2 - 3*f + 3. Is o(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101 times -446\nAnswer: -491046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 6*d - 4. Let q(h) = -4*h - 1 + 3*h**2 + 15*h + 8. Let n(r) = 7*c(r) + 4*q(r). What is the second derivative of n(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -15, -29, -41, -51, -59, -65?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -540*r + 1. Let c be u(-1). Let n be (-3 - 4\/2)\/(-5 + 4). Suppose -n*s + c = -94. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r - 27*r = 198. Solve o + r = 3*u - 3, 2*u - 4*o - 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/21))\/(a**(-6)\/a)*a**(1\/17)\/(a**(2\/29)\/a) assuming a is positive.\nAnswer: a**(92086\/10353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768040 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Let u be 3\/3 + (-51)\/27. Let c = 5\/9 + u. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 190. Let s(k) = 16. Let o(x) = 2*h(x) + 25*s(x). Let c be (-2)\/(-8) - 49\/4. Give o(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 18 = 3*f - 2*z, -4*z - 4 = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 times 31\nAnswer: -1.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*n**3*q**5 - 80*n**3*q + 2*q**5 + 2*q wrt q?\nAnswer: -260*n**3*q**3 + 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*m**4 + 14*m**2 - 18 - 14*m**2 - 16 with respect to m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1054, 1069, 1098, 1147, 1222, 1329, 1474?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -100*l**2 - 16\/15*l**5 + 0*l - 19\/30*l**7 + 0*l**3 + 0*l**4 + 0*l**6 + 0. What is the third derivative of g(r) wrt r?\nAnswer: -3192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 380, 0, -43, 1, -11 in ascending order.\nAnswer: -43, -11, 0, 1, 2, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7973\/6 in -4, 0.5, -2\/275?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-1253 + 222 - 32)*(2*c**3 - 1 + 1).\nAnswer: 2126*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 0*g**5 + 0*g**5 + (-8 - 4 - 13*g**2 + 10)*(g**3 + 2*g - 2*g).\nAnswer: -14*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q - 9 = 0, 4*q = -4*l - 20. Let f be -35 + (1\/1 - -1). Does 13 divide l\/10*f*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(6\/3)*0\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 e when four letters picked without replacement from izxeezzrcxxcrzree.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-64)*-2 - (12\/16 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**4 - 41286*a**3*m**3 - 1626*a**2*m**3 - 149*m**3 wrt a.\nAnswer: -168*a - 247716*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*u + 16*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {b: 1, f: 1, g: 4, z: 5, k: 2, r: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2349 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -62. Is 9 a factor of 13 + 176 + (h - (-1)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccwwmpcwwmmwcnwwpw. What is prob of picking 1 n and 1 p?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -138056193, -138056212, -138056233, -138056256?\n\"Answer: -u**2 - 16*u - 138056176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58946 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 12\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -84324370 divided by -1\nAnswer: 84324370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-1232)*(-7)\/(-2)*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0 (c) 0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36637817333 - -14.225?\nAnswer: -36637817318.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 791155697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgqqqqqooqogqqogq. What is prob of sequence og?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 212647300 to the nearest one hundred thousand.\nAnswer: 212600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let q = 2 - h. Solve 5 = j, -s + q*j - 12 = -j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flfcufcelflfc. What is prob of picking 3 f and 1 c?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g + 50 = 0. Let n = g - -10. Suppose -2*d - 8 + 58 = n. Solve -o - 4*o = -d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 574 - 574 - 1105*c**3 + 133*c**3 - 37*c wrt c?\nAnswer: -5832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/12 - s**3\/6 + s**2 - 2*s. Determine y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60*(-25)\/(-2100)*126\/(-216)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -450 + 740. Let j = -82 + d. Let q = j + -161.4. What is q rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.575033 rounded to 2 dps?\nAnswer: 30.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6478841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1567, 5, -4, -3\/4?\nAnswer: 1567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m**3 + 7894*m**2 + 464220*m + 343728 = 0 for m.\nAnswer: -924, -62, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 258 = -3*m, m - 2*w - 66 = 3*w. Suppose -2*b = -4*b + 116. Let v = m - b. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20583680 (base 9) to base 15.\nAnswer: -d0d2e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*h**2*j**3*l + 2*f*h**2*j**2*l + 2*f*h*j**3*l + f*j - 53*h**2 - 672*h*j**3*l + 2*j**2*l - 2*j - 2*l wrt h.\nAnswer: 4*f*j**3*l + 4*f*j**2*l - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7637527*b**3*p + 1278519290*b**3 - 13*p wrt p.\nAnswer: 7637527*b**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvvvu. What is prob of sequence vuvv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-160)\/90 + 0 + 2. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -84 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 497183 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 0 - -7 - 13 - (-38 - 17)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(78))\/(sqrt(54)\/sqrt(81) - sqrt(6)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 5*a = 65, -568*q + a - 27 + 0 = -572*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 47202 (b) 8.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/14 - 148\/(-259)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 - 3*a - 3. Suppose 5*b + 2*c = 6 + 28, -3*b + c = -16. Let z be (b - (-25)\/(-5))*6. Calculate n(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5024 or -5670?\nAnswer: -5024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(6300) + sqrt(6300))\/(sqrt(18)\/(sqrt(2) + sqrt(16)\/(sqrt(64)\/sqrt(8)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001598639446 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = u, 5*u + 99 - 109 = 3*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - 1) + (-8434 - -8580).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1517, 1350, 1071, 680, 177, -438, -1165?\nAnswer: -2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2230.62993 to the nearest 10.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 68 + -2 - (-69 + 109)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/(3 - (-2 + 4)). Let c(m) = -120*m**2 + 35*m + 35. Let y = 3 + -1. Let f(t) = -20*t + 7*t**2 + 0*t**2 + 37 + 18*t - 39. What is p*f(x) + y*c(x)?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65491 not equal to 1637312\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 1, d: 1}. Give prob of sequence bwd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -26. What is the units digit of y\/((-16)\/(-12)) + (-319)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w + 3*l + 36, 0 = l. Solve -5 + 1 = r + 3*m, 3*r = 5*m - w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-8 - (1 + -11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 24*x + 5 + 8 to the form m + g*x and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0*x**2 - 4*x**3 + 7 + 2*x**2 + 3*x**3 + 4*x**2 + 7*x. Let b be m(7). Suppose 4*s + 5*n - 5 = 0, 3*n + b = -s - n. Solve 0 = -s*t - 3 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -8\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 2. Suppose 78*w = 85*w - 1680. Let a be (2\/3)\/((-20)\/w). Determine s(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2485 (base 9) to base 13.\nAnswer: -b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 391 + -15251\/39. Which is the second smallest value? (a) p (b) -2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/690 + 3*u**4\/46 + 403*u**3\/69 - 4*u**2 + 10*u + 4. Find p, given that t(p) = 0.\nAnswer: -13, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:06 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 45. Suppose f = -f + k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2240834?\nAnswer: 2, 83, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5932494011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(-6)\/48*(-3 + 1). What is the remainder when (12\/(-30))\/(3\/45*s) is divided by 3\/2*20\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100112221 (base 4) in base 8?\nAnswer: -2202651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*k = 1663 - 3725 - 2638 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -937, -940, -945, -952?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*i - 123*i - 152*i = 9*i. Solve -5*c = 2*b - 23, i = -3*b - 3*c + 12 + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85067046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 11*k + 19. What is w(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000365 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 152881 (base 10) in base 7?\nAnswer: 1204501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146)\/365*-10 + 38\/(-12).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 34251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136143 + -82410. What are the prime factors of t?\nAnswer: 3, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let v(s) = 8*s. Let q(l) = -7*u(l) - 2*v(l). Let f(o) = -3*o**2. Give f(q(p)).\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 702636 and -0.092498736.\nAnswer: 702635.907501264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -18. Let o(f) = 11*f - 5. Let m(z) = 1 + 0*z + 5*z - 3. What is v*m(c) + 3*o(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*8119125\nAnswer: 4059562.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961*l = -211*l - 24870 - 27630 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 103 = -x, -5*i - 3*x = -x - 172. Let g = 146 - i. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/204)\/((-9)\/(-174)). Let d = 7\/17 + n. Let o = -0.07 + 0.47. What is the third biggest value in o, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541346, -541343, -541340?\nAnswer: -541337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 90, 115, 120, 93, 22, -105?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408579577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3\/5 + 17164*f**2\/5 + 139256*f - 612000 = 0. What is f?\nAnswer: -4250, -45, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1246 = 2*l, 1211 + 1276 = 4*v + 5*l. What are the prime factors of v?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/6*36\/24. Suppose 88 = 4*u + 4*j, 3*u + 0*j - d*j = 59. What is the remainder when 59 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeysessegggssegsgge. Give prob of sequence gees.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45 + -731?\nAnswer: -6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075 a factor of 522128576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2709b (base 14) in base 5?\nAnswer: -11034202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5*r + 8. Let p be s(6). Suppose -6*q - 9 = 565 + 128. Sort p, -3, q.\nAnswer: q, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 213800 and 76968.\nAnswer: 1924200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1520 - 1530. Suppose 0 = y - 3*y - 22. Which is bigger: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 15*m**2 + m - 2. Suppose 2*s - 141 = w - 137, -3*w - 8 = -4*s. Let v(j) = -2*j**3 + 14*j**2 - j + 3. Calculate s*v(p) + 3*f(p).\nAnswer: -p**3 - 17*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 317, 642, 1077, 1610, 2229?\nAnswer: 2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u**2 - 2*u + 3. Let o be t(3). Suppose -5*w = o + 9. Calculate the common denominator of 2*41*(-1)\/(-8) and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470530769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -74605 divided by 2376?\nAnswer: -74605\/2376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 18, -3, -1, 1 in decreasing order.\nAnswer: 18, 6, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 63, 124, 205, 312?\n\"Answer: p**3 + p**2 + 37*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b1a72 (base 13) to base 10\nAnswer: 318151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*f**2 + 2680 - 157 + 6607*f**2.\nAnswer: 6793*f**2 + 2523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9795*p - 27374*p + 0 + 1.\nAnswer: -37169*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/4, -2\/165, 1\/11?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 g when four letters picked without replacement from lffgcclfllffllfgll?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.9618 + 0.0382. Let p = 0.03 - -1.97. What is the second smallest value in -3\/7, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11*l**2 - 10*l - 37. Give j(-7).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19883 divided by 2\nAnswer: -19883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 40*a**3 + 5*a**2 + 5*a + 5. Let f(u) = 41*u**3 + 6*u**2 + 6*u + 6. What is 5*f(r) - 6*m(r)?\nAnswer: -35*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.09 (b) 1 (c) 0.4 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d + 5. Let j be v(-5). Suppose 3*c - 768 = -j*s - 205, 4*s = 3*c - 581. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -103*c**8\/168 + c**5\/2 - 488*c**2. What is the third derivative of l(n) wrt n?\nAnswer: -12360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - 11*t**2 + 36*t + 24. Let x be u(18). Let j = x - 421001\/48. What is the common denominator of j and -115\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = -2*j + 306. Solve 2 = 4*p - j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 9. Let l be u(11). Suppose 5*q = -2*d + 19, -l*d + 4*q = -8 - 20. Find b such that -d + 14 - 6 + 4*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -11 - (-11 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**5 + 14*j**4 - 352012*j**3 - 32*j**2 - 1482*j + 92 wrt j.\nAnswer: -180*j**2 + 336*j - 2112072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.5*-0.1.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5)*15\/6)\/((-105)\/(-6720)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79843.\nAnswer: 79843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.5. Suppose 30 = -9*k - 24. Which is the smallest value? (a) k (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (1 + -3)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322031 (base 8) to base 3.\nAnswer: 12110112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28424 and 216828931?\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + r**3 - 8*r + 2*r**4 + 1 + 8*r to k*r + o*r**3 + w*r**2 + s + l*r**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2. Let p(d) = 37*d**2 - d + 1. Calculate -2*p(m) + 9*q(m).\nAnswer: 7*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 6*j - 1. Let r(y) = -5*y**2 - 70*y + 181. Let a(q) = 3*l(q) - r(q). Factor a(b).\nAnswer: 2*(b - 2)*(b + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + l - 1. Let i(h) = -5*h**2 - 32*h - 223. Let k(p) = -2*a(p) - i(p). What is g in k(g) = 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 4884?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5484 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.40512l to millilitres.\nAnswer: 405.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44859726521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l**4 - 3276*l**3 - 5144*l**2 - 1824*l = 0 for l.\nAnswer: -1, -6\/11, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1368)\/(-96))\/19*-1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 39, 3, -1 in descending order.\nAnswer: 39, 7, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537592878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrum when four letters picked without replacement from {x: 2, r: 1, f: 1, m: 1, u: 1, z: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*r - 52*r + 5*r + 36 - 9 wrt r?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**3\/6 - 7*o**2\/2 - 30365*o. Let f(k) = -3. Let h(l) = l. Let t be h(-2). Calculate t*g(u) + 5*f(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2)*(5 + -3). Suppose 0 = i*j + 2*j - 5. Do j and -5\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let v be m(-5). Suppose 2 + 18 = v*i. Suppose 1 = i*r + z - 91, -5*r - 4*z + 126 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000272815 to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + 2 + -1 + -10228 + 10261\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 20. Sort 4, c, 0.\nAnswer: 0, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7899 is divided by 219?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26870100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 24. Let d = k - 29. Let t(j) = -j**3 - 3*j**2 + 6*j + 3. Let w be t(d). Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 13*h**2 + 14*h + 1. Let p(i) = i**3 - 14*i**2 - 15*i - 2. Let s(b) = -4*p(b) - 5*w(b). Let j be s(10). Solve 0 = j*n - n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178411450 by -1019494.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*q - 74*q + 56 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401242 is divided by 3262.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13642424452\/6377 + 2139317. Find the common denominator of 41 and w.\nAnswer: 6377","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -3216, -4, -2\/5, 1\/8 in increasing order.\nAnswer: -3216, -4, -2\/5, 0.1, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 3, i: 4, n: 8}. Give prob of sequence nynk.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45404902*a**5 + 23745*a**2 - 253*a.\nAnswer: -2724294120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(192))**2 + -5)*-4.\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**2 + 19*p**5 + 11*p**2 + 5*p**2 - 7*p**2 wrt p.\nAnswer: 1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 5:11 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 6*h - 2. Let t be k(-6). Suppose 2*l - t - 14 = 0. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48792466 + 48792466 - 9*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w**5 - 3*w**4 + 3*w**3 + 9*w. Let o(d) = -19*d**5 - 7*d**4 + 7*d**3 + 17*d. Let t(y) = 3*o(y) - 7*u(y). Find the second derivative of t(m) wrt m.\nAnswer: 260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (1 - -6*1). Let i = 2080 - 2070. What is the greatest common factor of i and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -11, -2, 2 in increasing order.\nAnswer: -46, -11, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 8) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2049 - -3448. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*l = -48*l + 146*l - 2120 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five quarters of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:29 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22341313 (base 5) to base 14.\nAnswer: 52a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**27)\/(p*(((p\/(p\/(p\/((p\/(p**(-15)\/p))\/p*p))))\/p*p)\/p)\/p) assuming p is positive.\nAnswer: p**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 - 18*w**2 - 167*w - 19. What are the prime factors of p(14)?\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 49) + (9 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 + -2.6. Which is the nearest to s? (a) 1 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64724487431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 126975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h)*(-6 - 1 - 4)*(1 - 3 + 0)*(-4*h**3 + 0*h**3 + 2*h**3).\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + 15*d. Let a(u) = -u + 15. Let r(p) = -4*p + 70. Let g(y) = -14*a(y) + 3*r(y). What is t(g(m))?\nAnswer: -20*m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -3)\/((-5)\/(-145)). Let n = 59\/2 + y. Which is the nearest to n? (a) 0.4 (b) 0.14 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -110 + (-1533 + 1517 - (-18 - (-4 - (-5 - -3)))).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 take away 0.08?\nAnswer: -159.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -57. Let f be -2*((-253)\/(-2) + t). Let p = 1732 + f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d + 36. Determine q(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -153?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, 0.4, -2\/5, 88?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((-18)\/27).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 5\/24*c**4 + 4\/3*c**3 + 1 + 0*c + 0*c**2 + 1\/30*c**5 - 1\/360*c**6. Let m(d) be the third derivative of h(d). What is m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529592, 2118931, 4768012, 8476829, 13245376, 19073647, 25961636, 33909337?\nAnswer: 42916744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -41. Let s = g - 33. Let 3*f**2 + 20 - 13*f**2 - 11*f + s + 5*f**3 - 9*f = 0. What is f?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143769 is divided by 13067.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 2*p + 41 + 5*p. Let z be b(-8). Determine c so that -4*c**2 + 9*c**2 - 5*c**3 - 2 - z*c + 15*c**2 + 12 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -11. Let z be ((-5)\/(-3))\/(15\/(-9) + 2). Let o = 129 - 517\/4. What is the nearest to a in o, 2, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70820, 141650, 212480?\n\"Answer: 70830*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4) + (-14)\/(-8). Let s(b) = 54*b - 1239. Let h be s(23). Find the second derivative of 22*d**h + 18*d - 10 + m + 8 wrt d.\nAnswer: 132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07198992 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-135))\/((-1)\/(-12))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4917202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**4 - w**3 - 1. Let c(z) = -7*z**4 + 136*z**3 + 994. Let m(q) = c(q) + 6*g(q). What is the first derivative of m(l) wrt l?\nAnswer: -4*l**3 + 390*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66823 is divided by 908.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c**2 + c + 2. Let y(r) = -8*r - 9 + 0*r + 3*r + 5*r**2 + 5*r**3 - r. Let i(t) = 2*y(t) + 11*z(t). Give i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k = 32. Let z = 8190 + -8174. What is the greatest common factor of z and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16)*-2)\/(((-13064)\/460)\/71)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z - 692*z = 179*z - 58824 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -55281, -4?\nAnswer: -55281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (6 + (-4)\/1). Let c be w*1 + (-40)\/(-10). Let f be -3*1\/(-3) + 1. Sort f, -1, c in descending order.\nAnswer: c, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9657 is divided by 1376?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 7. Let t be 46\/10 - (-4)\/10. Let p be a(t). Is (p - -1)*(-48 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 + 7*p**3 - 1447*p**2\/2 - 8140*p.\nAnswer: p*(p - 37)*(p + 11)*(p + 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1037*d = 1042*d - 0 - 15. Let p(b) be the third derivative of 2\/27*b**4 + 1\/90*b**6 - 2\/45*b**5 - 21*b**2 + 0*b**d + 0 + 0*b - 1\/945*b**7. Factor p(i).\nAnswer: -2*i*(i - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 780850 and 625646.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607 at most as big as 2125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/3*1*2\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -0.3, 1.36, 2\/31?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + (-177)\/9 - 1 and (-76)\/(-18)*3\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - -8. Suppose 15 = 5*r - 0. Solve b - r*w - 5 = 0, 4*w - q = -4*b + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -63 - 9. Suppose y = 4*m - m. Factor -m*c + 3*c**2 + 10*c - c**2.\nAnswer: 2*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 8 + z**2 + z**2 + z.\nAnswer: 2*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851.\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**2 - 8*n - 4. Let i(k) = 14*k**2 + 15*k + 7. Let x(f) = -4*i(f) - 7*w(f). What is the second derivative of x(s) wrt s?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2*t + 4*t - 27, 22 = -3*y - t + 38 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 4. Let m be f(8). Suppose 7*d = -116 + 95. Put m, 10, d in decreasing order.\nAnswer: 10, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 116\/(-18) - (-1 - -2). Let l = -23\/3 - z. Suppose 2*p - 5 = m, 0*m + 10 = 5*p - 2*m. Is p not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 - k + 6. Let m(f) = -f**3 + 47*f**2 + 262*f + 4. Let i be m(-5). Calculate a(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4482230.\nAnswer: 2, 5, 59, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 500*t**2 - 1455*t.\nAnswer: -5*t*(t + 3)*(t + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1224 and 34\/7029.\nAnswer: 955944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, 5, 0, -164, 3 in descending order.\nAnswer: 21, 5, 4, 3, 0, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50330034 (base 6) in base 11?\nAnswer: 895079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 11*m**2 + 353*m - 1846. Determine r(8).\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynnx when four letters picked without replacement from {b: 4, x: 8, n: 3, y: 2}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2619977485 and 201.\nAnswer: 2619977686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5421630*d**2 + 5421674*d**2 - 10843355*d**2.\nAnswer: -51*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19342 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (32 - (-15 - -27))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1101*m + m**3 + 1101*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 163 + 4*b**2 - 118 - 10*b - 85. Let o be t(-3). Calculate the greatest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3*k + 20 + 454, 4*h + 3*k = 646. Let r = -63 + h. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 67*z**2 - 1 + 2*z + 80*z**2 - 229*z**2 in the form g*z + r*z**2 + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56435628.\nAnswer: 2, 3, 71, 66239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:44 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311 (base 6) to base 14.\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.72 rounded to zero dps?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 3036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1956663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 12363983.\nAnswer: 12363982.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*z = -5*i + 936, -264101 + 264029 = -5*z - 4*i for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 + 1 + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -7, -5, -3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*y**5\/21 - 382*y**4\/3 - 436*y**3\/3 + 67864*y**2\/21 - 35152*y\/7 - 960\/7 = 0. What is y?\nAnswer: -5, -4\/149, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 384.50472 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -3*r + 208. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500.37103*-5.\nAnswer: -2501.85515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13796, 12160, 9436, 5624, 724?\n\"Answer: -544*s**2 - 4*s + 14344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, -111, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202556 (base 8) to base 5.\nAnswer: 4120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.315957.\nAnswer: 0.1579785","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 13394531933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 = 136. Let u = j + -42. What is the greatest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100 + -111001?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 164790 and 17?\nAnswer: 2801430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/11 or 0?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/11 + 740*l**2\/11 - 68450*l\/11 = 0. What is l?\nAnswer: 0, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 13. Let f(r) = -r**2 - 161*r + 11106. Let a be f(52). What is the highest common factor of u and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/(3*3\/9*1). Solve -r = 3*d - 32 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.9, -4, 75, -0.014, 0.3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4034.37 to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.8 and 0.08?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 299165 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: Simplify (k*k*k\/(k*k\/(k\/k**(-2\/17)))*k*k)\/(k*k**(-4))*(k**(-1))**(-31) assuming k is positive.\nAnswer: k**(648\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 132480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 61584703898074 and -4.\nAnswer: 61584703898070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214608 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 7:00 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -46 + -7 + 4 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j + 26. What are the prime factors of j\/(-10) + (-8)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*i - 1, i = 12*f - 11*f - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311691, 623350, 934995, 1246620, 1558219, 1869786, 2181315?\nAnswer: 2492800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 17*a - 14 = a. Calculate the smallest common multiple of a and 43.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:43 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 5*q - 2. Let z(y) = 14*y**2 + 6243*y + 12. Give -6*l(h) - z(h).\nAnswer: -2*h**2 - 6213*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 459*a**3 - 6*a**2 + 5860*a + 1 wrt a?\nAnswer: 2754*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 12*l - 23. Let v = -28410 + 28424. Give f(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**4 + 77*i**3 - 5*i**2. Let k(s) = -4*s**4 - 232*s**3 + 16*s**2. Let y(j) = -5*k(j) - 16*n(j). Factor y(o).\nAnswer: 4*o**3*(o - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h - 76. What is the tens digit of b(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -355, -435, -515, -595, -675?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/21 + -1\/42. Let k = -72 - -76.1. Let w = k - 4. Which is the nearest to w? (a) 0.4 (b) 1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*n + 42 = 0, 3*m - 4*n = -9*n + 79. Suppose 26*f = m*f - 9. List the prime factors of -4 - -113*(-1)\/(f\/6).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 + (1 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 53.93 and 1.4210794?\nAnswer: 52.5089206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*l**2 - 1 + (-2 - 1 + 1)*(-2*l**2 - 4*l + 4*l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 332810, 665609, 998408, 1331207, 1664006, 1996805?\n\"Answer: 332799*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 46 = 3*o - 10, -o + 52 = -5*p. Let s be p + 9 + (0 - -7 - 1). Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1696 and 15476?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*m - 27434, 5*m - 3386*y = -3384*y + 68556. Is m at least 13713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o + 0*o + (-2 + 1 + 3)*(5*o + 7*o - o) - o + 3 - 3 - o + 0*o + 6*o.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j - 110 + 111 - 15*j + 1004*j**4 as g*j**2 + v*j**3 + p*j**4 + s*j + c and give p.\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 4*g**2.\nAnswer: -4*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 1 - 3042*p + 12 - 10625*p.\nAnswer: -13667*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 4*y + 3*y)*(-3*y**3 + y**3 + 4*y**3 + (0*y**2 - 3*y**2 + y**2)*(2*y - 3*y - y)) + 8*y - 8*y - 7*y**4.\nAnswer: -19*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 54*d + 1773. Let t be f(21). What is the highest common divisor of 1920 and t?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 85 = 4*n - x, -5*n = 2*x - 78. Solve -9*t - 20 = -n*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 11. Let s(m) = m - 3. Let d be s(o). Solve 4*x = 3*j - 3, 3*x + 0*j + d = 4*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/16?\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, 8, -1.\nAnswer: -5, -3, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 933368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*t + 4939 = 0, -9*c + 8*c = -4*t - 991. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1327, 5406, 12167, 21580, 33615, 48242, 65431?\n\"Answer: -5*n**3 + 1371*n**2 + n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from qcccqqgacaccccqcc?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4*m - 33 = m, 366*m + 4251 = 5*x - 134*m - 264 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -468*y - 6. Let j = 368 + -369. List the prime factors of h(j).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/3 + 17854*x**2 - 589405*x\/3 - 1821482 = 0.\nAnswer: -53573, -6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2941)\/(-187) - 16 - 99216\/1749.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 12*f**2 - 16*f + 42. Let y be h(13). Calculate the highest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*p**2 - 43732*p - 10835802.\nAnswer: 20*p - 43732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13101104024403 + 10?\nAnswer: 13101104024413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29908 * 14.78\nAnswer: 442040.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*w = 2*w - 1, 4*n = -2*w + 16. Suppose -n*x + 9 = -9. Let b = 10 - x. Solve -l + 10 = b*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*k = 4565, 5*v - 13*k - 22798 = -12*k. Is 97 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323049.8 rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1788, 94770 in ascending order.\nAnswer: -1788, -4, 94770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpgn when four letters picked without replacement from ngpgpnnnnpngn.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 1 v when three letters picked without replacement from heehyhhvehehyhhh?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*v + f, 37*v - 33*v - 3*f = 52. Calculate the lowest common multiple of 32 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + -1 + -1.\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 - 101?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358 + 175 + 183 - 4*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 5:17 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2483785 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (540\/(-330))\/((-6)\/33). Solve 7*h + g*h = 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 286\/28 - (-6 + (-40)\/(-7)). Let d = f + -103\/10. What is the common denominator of 11\/35 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 11:21 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:11 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804473 is divided by 57460?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdi when three letters picked without replacement from intniiiidiittitnii?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 - -3.1942. Round z to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 44492637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47021.\nAnswer: 13, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**2 + 49*q**2 + 180*q**2 - 19*q**2.\nAnswer: 185*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - (-6 - -3)) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 + 2 = 0. Suppose 3*s + 4823 = j*t, 4*t - s + 4*s = 9673. Suppose -t = -3*a - 5*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d - 16. Suppose d*l - 3*h = 89, 3*l + 2*h - 73 = 3*h. Suppose 0 = -3*g - 6, -3*g = 2*w - 7*g - l. What is the remainder when 25 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(2*q + 2*q - 2*q - 3*q + 3*q + q + (-3 + 3 - 5)*(2*q + 0*q - 4*q))*(-1 - 3 + 3).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1885 and 6989.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**5\/5 + o**3\/3 + 5*o + 2. Let q(d) be the first derivative of s(d). What is the second derivative of q(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 8*f**2 + 9*f + 2. Let w be s(-9). Sort w, -1, 0 in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v - 2. Calculate the smallest common multiple of v and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*h*l*x + 2*c**2*h*x**3 + 286*c**2*l + 3*c*h*x**3 - c*l*x**3 + 91*c*x**3 with respect to l.\nAnswer: c**2*h*x + 286*c**2 - c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389649?\nAnswer: 47, 29567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 683059\/111 or 6154?\nAnswer: 683059\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/22 - -4*247\/11. Calculate the highest common factor of b and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 12, 2*v + 4*z - 524 + 14 = 0. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -300424, -600855, -901288, -1201723, -1502160, -1802599, -2103040?\n\"Answer: -d**2 - 300428*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21368773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15 - 11\/(-3). Suppose 10 = y*p - h, 0*p + 14 = 4*p - h. Suppose t - p = -3*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 106\/5 (b) 5 (c) -2\/9 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuiiiuiuuujj. Give prob of sequence jju.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2\/11 (b) -0.070882 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(13\/(-39)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*b - 71212 = 52520. List the prime factors of b.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 5*x + 9 + 3*x + 2*x - 3*x + 2*x + (-2 + 2 + 2*x)*(-2 + 4 - 3) + 4 - x - 4.\nAnswer: -5*x + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*m = -3*m + 5, 5*m - 31 = -3*u. Suppose -f + u + 2 = 0. Let i = -3.4 - -3.7. Which is the second smallest value? (a) i (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70a6b (base 12) to base 16\nAnswer: 23cf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 2, p: 1}. Give prob of sequence dp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 399*f + 211*f + 257*f - 240*f to l + d*f and give d.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -32. Let w be (d\/4)\/(11\/(-44)). What is the highest common factor of w and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -249, 0.02, 0.4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/47 + 146\/705. Which is the closest to -0.1? (a) 5\/3 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 10:44 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-8\/3)*w)\/w)\/w)**(1\/4) assuming w is positive.\nAnswer: w**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w. Let o(n) = -8258872*n. What is o(f(v))?\nAnswer: 57812104*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let n(g) = 5280*g. Determine n(p(m)).\nAnswer: 5280*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4608)\/(-2048)*276\/(-9)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12442 (base 11) in base 6?\nAnswer: 214321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 31*a + 28 = -3*j, -6*a + 60 = 3*j. Solve -3*h + 4 = -p, -h + 3*h = 2*p + a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 1. Let j be w(2). What is the remainder when 36 is divided by (j + 2)*(-65)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -64, -244, -528, -916, -1408?\n\"Answer: -52*o**2 - 24*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 125060 divided by 845\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, j: 7, e: 9}. What is prob of picking 3 e?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - x + 9*x + 7*x. Let w(f) = 2*f**2. Determine w(v(g)).\nAnswer: 512*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -7a672a1?\nAnswer: -7a67298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 29*y**2 - 125*y + 24. Calculate f(-5).\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Let g = -40508 + 40507.7. Which is the second smallest value? (a) -8 (b) g (c) z (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20810506.332 - -0.2?\nAnswer: -20810506.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 242309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.1, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxnnxnkxkgw. What is prob of picking 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3267659673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(0 + f**3 + 3 + 8)*(3*f + 0*f - 2*f).\nAnswer: -f**4 - 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 13. Let l be x(-9). Which is greater: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.3, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 + 4*w - 4. Let q(k) be the first derivative of k**4\/4 + k**3 + 2*k**2 - 3*k - 45. Let x(z) = 5*f(z) - 4*q(z). Factor x(v).\nAnswer: -4*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 3:37 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/50)\/((-108)\/540).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14542 (base 8) in base 10?\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22.2+18674\nAnswer: 18696.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (9 - ((38 - 37) + 72))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71635837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7162090 <= -7162086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -1189580?\nAnswer: -1189584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1816 - -1818. What is the fourth biggest value in i, 5\/2, 1\/6, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 4*r + 4. Calculate n(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 18 - 27 = -2*g, -2*j = 3*g - 70. Let w = g - 10. What is the smallest common multiple of w and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -0.1 (c) -1 (d) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k + 113. Let p = -626 - -634. Calculate the remainder when 774 is divided by h(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l**2 - 5*l + 25. Suppose -4*r + 5*y - 10 = 0, 40 = -2*r + 4*r + 5*y. Calculate p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2 - 9) - (27 + 1) - 6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4. Suppose 3*y - 5*o = f, 2*o + 8 = -0*y + 5*y. What is the derivative of -4*a**4 - y*a**4 + 3 - 1 wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16558431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.4, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 9*o + 29 = 13*o, 5*o - 7 = -3*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 - 86 = 125*n - 740 - 1838 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 + 150. What is the greatest common divisor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1994 - -1994. Solve l*j + 2*j = f + 7, 3 = 3*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/21*(-1)\/16*4\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91215, 364500, 819309, 1455096, 2271315, 3267420, 4442865, 5797104?\nAnswer: 7329591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381184 is divided by 47645?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.013*0.40134\nAnswer: 0.00521742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17375065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*m. Let v = m - 6. Let r = 9 + v. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 148, 266, 430, 640, 896?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 268*o - 261*o - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 302\/104 - 4\/26 - (-6)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10101110111010?\nAnswer: -10101111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30240.643 - 30222. Let o = n + -16.9430064. Let r = o + -1.7. What is r rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*d - 80, -2*o = o - 4*d + 20. Let w be o + 23 + (-141)\/15. Factor 2\/5*v - w*v**3 - v**4 + 0 - 1\/5*v**2.\nAnswer: -v*(v + 1)**2*(5*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g - 1. Let z = 16 + -10. Let h(k) = -11*k**3 - 4*k + 6. Let i(m) = z*x(m) + h(m). What is the second derivative of i(s) wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1182 + -10637\/9. Let u be 4\/10 - (-27)\/(-30). Which is the nearest to u? (a) 3\/4 (b) r (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425054 + 0.1.\nAnswer: -425053.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 61*-6\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(20)\/sqrt(4) - sqrt(5)) - (sqrt(5) - (sqrt(45)\/sqrt(3))\/sqrt(3)))**2 - (sqrt(5) + (sqrt(20)*-1)\/sqrt(4) + (sqrt(5) - sqrt(15)\/sqrt(3))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6133 + -2457. Is m a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 7*n**2 + 7*n. Let i be o(-5). Suppose -3*t - 99 + i = 0. Let c = -3 - t. Solve 0 = -2*w - 3*w - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 - -108.49. Let o = -0.31 - t. Let p(n) = 9*n - 37. Let w be p(4). Which is the nearest to w? (a) o (b) 3\/4 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:49 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let n(i) = i**2 + 4*i + 2. Let p be n(-3). Let w = p - -8. Let f(y) = -y. Let r(o) = w*f(o) - 5*b(o). Let d(m) = m. Give d(r(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -4. Let l be (-2)\/d - 29\/10. Is -3 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -350*i + 167. Is w(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 1 (b) 6.1 (c) 149.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, 3\/4, -2\/3, 0 in descending order.\nAnswer: 3\/4, 0.5, 0, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*c + 1888 = -88*c. What is the remainder when 1414 is divided by c?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 + 8*v + 25. Give g(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 60 + 53*v)*(4*v**4 - 5*v**4 + 0*v**4).\nAnswer: -53*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370278 by -18.\nAnswer: 20571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*3*sqrt(250))\/(5*(sqrt(125) - (sqrt(125) + (sqrt(125)*3 - sqrt(125))))).\nAnswer: -54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82460953?\nAnswer: 157, 433, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.79 + 32.79. Which is the fourth biggest value? (a) k (b) 13 (c) -4\/9 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/10 - 11*i**4\/12 - 8*i**3\/3 - 20*i**2 + 2*i - 129. List the prime factors of a(-8).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80494 is divided by 1134.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -264421.063 rounded to the nearest one hundred?\nAnswer: -264400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21730384 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2013477315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t - 4. Let y be s(3). Suppose 330 = 6*v - v. What is the highest common factor of v and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4171?\nAnswer: 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 17*f**2 + 16*f + 284. Determine t(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 312. Is 8 a factor of o\/12 + (-6)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.073 and -0.8.\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4 - 4)*(25 + 70 - 2)*(3 + 2 - 4).\nAnswer: -93*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100157349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 21. Suppose 220 = -0*j - i*j - 5*y, 0 = 5*j - 4*y + 316. Calculate the common denominator of (-2)\/8 + (-339)\/j and -83\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*c + 375 = 358, c - 6 = -a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51331 (base 7) to base 8.\nAnswer: -30345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43855 + -37374. Solve u*i - 6471*i = -90 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**3 + 12*s**3 + 7*s**2 + 11*s**3 - 14*s**2.\nAnswer: 5*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -219, -1897, -6433, -15249, -29767?\n\"Answer: -237*d**3 - 7*d**2 + 2*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + 9. What is the remainder when 224 is divided by p(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 6. Let z(a) = 18*a - 26. Let g(s) = s**2 - 8*s + 16. Let r be g(6). Calculate the remainder when z(r) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49982 or 0?\nAnswer: 49982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2360.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 185089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50510.731424 + -50514. Let w = k + 3.27. What is w rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -89\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 93. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*r**3 + 1578*k*r**2 - k*r + 3*r**4 - 537670*r**3 - 638*r**2 wrt r?\nAnswer: 6*k + 72*r - 3226020","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 491942 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3732, 14914, 33542, 59610, 93112, 134042, 182394, 238162?\nAnswer: 301340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -91. Let x = 0 - 2. Which is the biggest value? (a) -2\/9 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u - 4*u = 236. Put -144, -5, 1, u in descending order.\nAnswer: u, 1, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2 - c. Let g(l) = l**3 - 4*l. What is g(f) - 4*o(f)?\nAnswer: -3*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g + 974. Suppose 6*r + 2*f = 2*r + g, 0 = r + 4*f - 254. Suppose 0*o - 2*o = -r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-270))\/(28\/(-252)))\/(3\/6 - 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -74*v**2. Let x(h) be the second derivative of 1\/6*h**3 - 1 - 17*h + 0*h**2. Give x(o(f)).\nAnswer: -74*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n + 3. Let c(z) be the third derivative of 5*z**4\/24 - 2*z**3\/3 + 10*z**2. Let q(h) = -3*c(h) - 4*g(h). Let v(m) = 3*m. Calculate q(v(i)).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-14)\/(-4) + -3). Which is smaller: r or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 5\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -418529.0324 - -418631. Let v = t - 102. Round v to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 - 47 = 7*l. What is the greatest common factor of 143 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/120 + w**5\/60 + w**4\/4 + 52*w**2. What is l in u(l) = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 20914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1213 * -3.8\nAnswer: -4609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-14))\/(1\/8). Solve 2 - 1\/2*f**5 + 1\/2*f**2 + j*f - 7\/2*f**3 - 5\/2*f**4 = 0 for f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*j + 18, 1065*j = i + 1062*j + 22. Let k(u) be the first derivative of u**3 + u**2 + u - 1. Calculate k(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 303875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6149)\/19630 + (-657)\/(-2190).\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.8 - 90. Let f = o + -0.4. What is the closest to 0 in 1\/4, f, 43?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i**2*y**3 + 25*i*y**3 - 59*y**3 with respect to i.\nAnswer: -14*i*y**3 + 25*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138*-48.391.\nAnswer: -6677.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -971 + 3929\/4. What is the common denominator of -93\/6250 and y?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 10140.7.\nAnswer: -10158.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3\/4 + 19035*x**2\/4 + 19044*x + 19047 = 0.\nAnswer: -2, 6349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2 - -20) + (-92 - -80) + 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-17)\/238)*-1. Suppose 36 = o*f - 20. Let d = -914 + 2768\/3. Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 960*w**2 - 31*w - 391. Is l(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211498*i**2 - 52873*i**2 - 52868*i**2 - 52869*i**2 - 52868*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21290097919 + 21290097895.130247629. Let a = d + 1.869751961. Let v = a + 22. Round v to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 2, o: 1, i: 1, l: 1}. Give prob of sequence lv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42432 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12 (b) 28 (c) -0.12 (d) -5 (e) 0.5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3) - 2\/6. Let p be 56 + 2 + 1 + d. What is the highest common factor of 40 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + 31. Suppose -2*o = -4*o + c. Let v(k) = -10*k - 2. Let r be v(-6). What is the greatest common divisor of r and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 734*k - 6692. Calculate w(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5265*i**2*y + 32*i*n**2*y - 45*n**2*y + 6*n*y + 2*n + 39 wrt i?\nAnswer: -10530*i*y + 32*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 22*n + 19. Let k be o(12). Let g = -81 - k. Suppose g = -3*i + 29. Solve i*h + 20 = 8*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let s(p) be the second derivative of 1\/20*p**5 + 0*p**4 + 0 + 1\/2*p**2 + 0*p**3 + w*p. What is the first derivative of s(g) wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -997 + 1060.39. Let h = w + -63. Round h to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35167 is divided by 496.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 34, 0.1, -0.1, 0 in descending order.\nAnswer: 34, 0.1, 0, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 25*r - 21*r = 1888, 0 = 2*c - 2*r - 948. Let o = c + 446. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 6, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 38*g**2 - 45*g - 54. Give l(3).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208031?\nAnswer: 19, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143\/105 + 29\/15. Factor -k + 2\/7*o**2 + 2\/7*o.\nAnswer: 2*(o - 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 612920 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 3*f**2 - 13*f - 5. Let r(t) = 6*t**3 - 7*t**2 - 26*t - 11. Determine 7*h(x) - 3*r(x).\nAnswer: 3*x**3 - 13*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5272207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3417, 4242, 5067, 5892, 6717, 7542?\n\"Answer: 825*k + 2592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3810.\nAnswer: 1\/1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1 (c) 1\/24 (d) 228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.346 times 147.9\nAnswer: -51.1734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15731 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Let j be ((-2)\/9)\/(1\/3). Let u = -1.5 + 2. Which is the nearest to j? (a) -3 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*sqrt(117) - ((sqrt(13)*-4)**2 + 5)) + sqrt(208)\/(1*sqrt(484)).\nAnswer: -216 - 130*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 4*u + 13)*(0 + 0 + 2*u) + u**2 - 1 + 1 + (2*u - 3*u - u)*(0*u + 0*u - u) to b + s*u + c*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 + 19*r + 41. Let b be x(-7). Let v be (12432\/1110)\/(1 + b\/(-5)). Let m = 68 + -124. Are m and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1253, -2515, -3785, -5063, -6349?\n\"Answer: -4*t**2 - 1250*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0967 + -0.5967. What is the closest to -1\/5 in 3, -211, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -95\nAnswer: -2755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 23*b + 1 - 1 - 20*b.\nAnswer: -3*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 644 - 2579\/4. Which is the nearest to 1\/2? (a) 4 (b) 2 (c) m (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 539*n**6\/6 + 2*n**5\/5 - 2*n**3\/3 + 73*n - 123. What is the third derivative of j(s) wrt s?\nAnswer: 32340*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, 0.1, -5\/7, -21435, -3?\nAnswer: -21435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745554517.\nAnswer: 7, 13477, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 + 16 = 74*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 - 3. Let c(w) = w**2 + 1. Let d(x) = -3*c(x) - q(x). Determine d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2018*x - 2592 = 955*x + 1009*x for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:18 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 175 = 6*a. Let y be (a + (-6)\/(-3))\/((-2)\/224). Is -1 - (-11)\/13 - y\/52 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l*m**5 + 75*l*m**3 + l*m**2 - l*m - 25*l + m**5 + 18 wrt m.\nAnswer: 240*l*m**2 + 450*l + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2879969*x**4 + x**3 - 9*x**2 - x + 23844 wrt x?\nAnswer: 69119256*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a**2 - 192*a + 81 = 0. Calculate a.\nAnswer: 3\/7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58900 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 13*i + 10. Let m be w(14). Let f be (4\/6)\/(m\/(-72)). Let u = 30 + f. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 965444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 13. Suppose 3*z - m - 13 = 0, -5*z + m - 5*m = -33. Let q be o(z). Put q, 6, 3 in descending order.\nAnswer: 6, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**3\/3 - 2*q. Suppose 4*n - 11 = 5. Let v(s) = -s + 2*s + n*s - 3*s. Give d(v(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5370049?\nAnswer: 5370049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 599 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*d**2 - 36*d**2 + 24*d**2)*(-2*d**3 - 1 + 1) + 33*d**5 + 30*d**5 - 8*d**5.\nAnswer: 149*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -347*a**2 - 696*a**2 - 5316*a**2 - 2546*a**2 to the form j*a + x + t*a**2 and give t.\nAnswer: -8905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23075620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafaappcapcafz. What is prob of picking 1 p and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/f**1))\/(f**3\/f))\/(f**(-6)*f*f*f\/(f\/(f**(-6)*f))*f))**(-29) assuming f is positive.\nAnswer: f**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4 - 11*c - 1 in the form x + j*c and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1614 at most -59670\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5*r)\/r)\/r**6*(r**(-1))**(1\/25)*((r\/((((r\/(r*r**(1\/2)))\/r*r)\/r)\/r))**15)**50 assuming r is positive.\nAnswer: r**(65599\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28f - 1e8?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -122*i + 27. Is j(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 28*a**2 - 26*a - 121. Is t(-5) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -132, -438, -912, -1554?\n\"Answer: -84*j**2 - 54*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17182419 and 14823?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 526949369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Let w(m) be the third derivative of 2*m**5\/15 - 9*m**2. Calculate w(a(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 2, -32, -90, -178, -302, -468, -682?\n\"Answer: -l**3 - 3*l**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(36 + 4 + 9)*(-4 - 2*x + 4).\nAnswer: -196*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**11)\/z*(z\/(z\/z**16))\/z assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 612 and 153?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 + 7*p + 23. Let b(j) = -2*j**2 - 3*j - 12. Let l be (1\/3)\/(21\/(-189)). Determine l*u(h) - 7*b(h).\nAnswer: -h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.6 - 32.9. Let g = 0.16 + -11.16. Which is the smallest value? (a) 0.4 (b) g (c) q (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-11\/5))\/n*n*n\/(n\/(n*n*n\/(n*n\/n**(4\/5)*n*n))))\/(n*n**(-2\/13))**45 assuming n is positive.\nAnswer: n**(-2501\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156 and 1.3.\nAnswer: 202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53335 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 + 0*o**3 - 3*o**3 + 2 - 1 - o**2 as l*o**2 + b*o**3 + j + v*o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115731 and 125136.\nAnswer: 146283984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.151 - -0.459. Let t = 0.19 + q. Which is the closest to t? (a) -0.3 (b) 3\/4 (c) 0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/6 + 35*h**3\/6 + 28*h**2. What is the remainder when 30 is divided by m(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 18*w + 28. Give n(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 310.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 13 - (-266 - -339)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2384282 and 10?\nAnswer: 11921410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891811 is divided by 3946?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4 + 5 - 2 - a + 2. Give m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twz when three letters picked without replacement from {w: 1, t: 2, b: 2, z: 1, g: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -660031*s**2. Let d(o) = 3*o. Calculate d(y(n)).\nAnswer: -1980093*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 358647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 - 6)) + 6 + -9 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3624\/5 or -3\/44?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.94886 - -0.05114. What is the nearest to t in -0.1, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4674636 to the nearest integer?\nAnswer: 2162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 + c38?\nAnswer: bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + -14*(-5)\/(-10). Let n = 13848\/5 - 2742. Let s = -28 + n. What is the third biggest value in s, x, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(245)*2) + (1 + 0 + sqrt(245) - (-1 + sqrt(245) + 4)))**2.\nAnswer: -1092*sqrt(5) + 8989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:33 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/20 - s**4\/12 + s**3\/3 + 6*s**2 + s - 10. Let a(d) = 3*d**2 - 2*d + 1. Give 4*a(q) - 3*f(q).\nAnswer: 3*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533145749.\nAnswer: 191, 2791339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -77, -5, -58, 0, 7, 1 in decreasing order.\nAnswer: 7, 3, 1, 0, -5, -58, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1188\/25 or -48?\nAnswer: -1188\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -49. Suppose 0 = -2*m - 5*v + 46, u*m = v + 23 + 12. What is the highest common divisor of m and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let t = u - -6. Which is the closest to 0? (a) t (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.6823cm to millimeters.\nAnswer: 2896.823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let i be o(4). Let z = -714359 + 714362. Put z, i, -15 in descending order.\nAnswer: z, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*t - 112404 = 3532*t + 132212 - 70828 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -133, -324, -603, -976, -1449, -2028, -2719?\n\"Answer: -o**3 - 35*o**2 + 3*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - (5 + -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/709, 18, 0, 1\/7, -6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000155630909 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 29. Let n be y(9). Find the third derivative of -49*v**2 + 31*v**2 + 13*v**n + 89*v**6 wrt v.\nAnswer: 10680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4309709*s + 7 + 4309695*s + 1.\nAnswer: -14*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 66, 52, 40, 30, 22, 16?\n\"Answer: v**2 - 19*v + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 149992?\nAnswer: 149992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3327, -3260, -3193, -3126, -3059, -2992?\n\"Answer: 67*h - 3394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11811)\/(-6) - -1)*(-20)\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*6*(-11)\/264.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 69. Give g(37).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21829702603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4672 and 5840.\nAnswer: 23360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2088 - 2092.965. Round m to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23526*l**4 + 12194*l.\nAnswer: -282312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - 3*z**2 - z + 4. Let b be l(0). Let o(q) = -11*q**2 - 12*q. Let r(u) = 13*u**2 + 11*u. Let i(t) = b*o(t) + 3*r(t). Factor i(g).\nAnswer: -5*g*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 436045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72996612*h**5 - 22751337*h.\nAnswer: -1459932240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 8, q: 10}. Give prob of sequence qvr.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/4 + 1421*y**4\/4 - 21491*y**3\/4 + 70307*y**2\/4 - 40915*y\/2 + 7898 = 0. What is y?\nAnswer: -1436, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4866831916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by (9\/(27\/(-6)))\/(17\/(-357))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 117*d - 94*d - 153, 5*z + 45 = 5*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 29. Solve -j*u = 4*g - 7*g + 5, -2*g + 14 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 1, 6, -5, -3, -47?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 307 - 387 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 14. Let g be t(-9). Let r = -2 + 3. Put -1, g, r in decreasing order.\nAnswer: r, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9 + 3*m**2 - 29*m + 0*m**2 + 25*m. Let k(j) = 2*j**2 - 2*j - 5. What is -4*d(n) + 7*k(n)?\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3191*q**3 + 3188*q**3 - 6372*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13881 and 46998.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6105\/4 - (-12)\/16. Let t = c - 485. Suppose -4*a + t = 2*y, 0*a - 3*a + 779 = 2*y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1475*b + 1549*b + 370 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 - 105. Which is smaller: z or -3\/53?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 15 = -0*a, -167*a + 164*a = -2*h + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**7\/70 - u**5\/20 - u**2\/2 - 5*u. Let o(z) be the first derivative of k(z). What is the third derivative of o(q) wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.01 * 4\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195242333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*y**2 + 20\/3*y**3 - 6 - 20\/3*y + 2\/3*y**4.\nAnswer: 2*(y - 1)*(y + 1)**2*(y + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 2*p - 1. Let h be c(-1). Let u be 5 - 0\/((-30)\/(-6) - 6). Solve 2*n + 2*j = -h*j - 12, -u*n = -j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -1\/4 (b) -2\/5 (c) -0.1 (d) 3\/8 (e) 204\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 5*l - 3*s, 94*l - 99*l = -s - 150. Sort l, 5, 167.\nAnswer: 5, l, 167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1173933, -4695803, -10565583, -18783273, -29348873, -42262383?\n\"Answer: -1173955*i**2 - 5*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 10*x**2 - 12*x - 3. Let z(u) = u**2 - u + 1. Let v(a) = -j(a) + 6*z(a). Calculate the smallest common multiple of v(-5) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -681*j - 97. Let k be g(-14). Let f = k - 24797. Round f to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:05 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, e: 13}. What is prob of picking 1 r and 3 e?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - -11350401?\nAnswer: 11350447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 19, -5 in ascending order.\nAnswer: -5, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 180530 to the power of 1\/2, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57201, 114908, 172615, 230322, 288029?\n\"Answer: 57707*v - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 10*s. Let f(i) = 84*i**2. Determine l(f(n)).\nAnswer: -14112*n**4 - 840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - 10*c. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*d - 10 = 0, -5*h - 4*d = -95 - 50. Let g = -33 + h. What is the units digit of (114\/g)\/(4\/(-16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769 = 8*r - 801 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.02840956 and -22593.\nAnswer: -22585.97159044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22427593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3996745 minus -196?\nAnswer: 198.3996745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3924327*z**3 + z**2 + 6354250 wrt z.\nAnswer: 11772981*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c + 5*t + 24, 2*t - 24 = -4*c. Suppose -9*o = -0*o - c*o. Factor 2*y**2 + 0*y + o - 2\/3*y**3.\nAnswer: -2*y**2*(y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b*g*j*x - b*g*j + b*g + b*x**3 - 21*b - g*j*x**3 - 8*g wrt j?\nAnswer: 3*b*g*x - b*g - g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 470 = j - c, 0 = -5*c - 10. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.005 + 0.095. Suppose 0 = 5*n + 1 + 9. Let y be (4 - 7 - n)\/1. What is the closest to b in 1\/2, y, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 73\/((-1533)\/126)*(-14)\/(-6). Let k(y) = -y**3 - 13*y**2 + 17*y + 5. Give k(f).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as 144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(4*h**3 - 4*h**3 + h**5) - 12*h - 7*h - 2*h**5 + 101*h.\nAnswer: -3*h**5 + 82*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 105939, 211875, 317811, 423747?\n\"Answer: 105936*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:45 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 4.36 (c) 1\/7 (d) -0.3 (e) -3 (f) 116 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1510341 (base 10) to base 15\nAnswer: 1ec796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 11 - 7*y)*(-4*y + 3*y + 2*y) + y**2 + 2*y**2 - 2*y**2 - 2*y as a*y + m + v*y**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 14. Let q be h(6). Let 2\/3*l**3 + 0 + 0*l - 2\/3*l**2 - 2\/3*l**5 + 2\/3*l**q = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2233 - 1166?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/9*2*2\/(-14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 43\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64, 129, 194, 259?\n\"Answer: 65*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 29*x + 42 = -2*f, 18 = 18*x + f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -233580 and -2?\nAnswer: 467160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*w - 95 = 114*w. Solve 0 = -w*r + 126 + 26 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 57332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 163*u**2 + 748 wrt u?\nAnswer: 326*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 6*q + 4 = -h, -h + 2 = -q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:12 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/15, -3, 387788\/11, -1\/4, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 511*u**2 + 80*u - 10. Let l(r) = -769*r**2 - 120*r + 16. Let m(p) = 5*l(p) + 8*v(p). Find the second derivative of m(y) wrt y.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**3 + 4*q**2*x**2 + q**2*x + 10*q - 5*x**2 + 2*x wrt q?\nAnswer: 24*q + 8*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k + 0*k)*(k - 3*k + 0*k) - 6*k**2 - 5*k**2 + 4*k**2 + (3*k + 2*k - 2*k)*(-3*k + 4*k + k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 5*j - 5. Let p(d) = 2*d**2 + 3*d - 3. Let q(y) = 3*l(y) - 5*p(y). Let c(f) = 5*f. Let n(x) = x. Let k(s) = c(s) - 6*n(s). Calculate q(k(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/60*-6 + 13\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - r = 3*r - 13, 13 = -2*t + 5*r. Let u = -5 - t. Let i = u + 21. Calculate the remainder when 29 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 564 and 37908132?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 590 - 382. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -13 - (-102)\/(-24))\/((-6)\/4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144 + -142. Suppose -b*z + 8*z - 66 = 0. Find the third derivative of -z*l**2 - 14*l**6 - 4*l**2 + 17*l**2 wrt l.\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 10, -165, -5, -1.\nAnswer: -165, -5, -1, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-18) - (36\/8 - 3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93908, 188552, 283196, 377840, 472484?\n\"Answer: 94644*k - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -2*s, -4*s = 3*z - 177545. Let h = -35028 + z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 14867.\nAnswer: -29734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/19 (b) -482 (c) -4 (d) 1\/179\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2247*x**2 - 2237*x**2 - 22 + 10 + 4476*x**2.\nAnswer: -8*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-4) - 168\/96)*-1. Suppose 4*b = 2*r, 2*r - a - 1 = 3*b. Solve -y + r = 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5852 or 5854?\nAnswer: 5854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -30*k + 1002. Suppose i - k = -i. What are the prime factors of i?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.76904g to tonnes.\nAnswer: 0.00000976904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*b - 36*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6772281*k*p**2 - k*p + 4*p**2 - 12282*p + 75 wrt p.\nAnswer: 13544562*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**2 + 17*u**2 + 20*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 10*d + 24. Let x be t(3). Let b(p) = -p**2 + 5*p - 4. Suppose 4*s + 0*s - 64 = 0. What is the lowest common multiple of b(x) and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**3 + z**2 + 5. Let m(h) = 3*h**3 - 13*h**2 - 9*h - 12. Let j(i) = -2*i**3 + 6*i**2 + 4*i + 6. Let g(l) = -9*j(l) - 4*m(l). Give 4*g(f) + 5*o(f).\nAnswer: -f**3 - 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101000210222 (base 3) to base 6\nAnswer: 4121555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 818965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -22*r**3 + 5*r**2 + 16*r - 2. Let s(y) = 21*y**3 - 7*y**2 - 21*y + 3. Let z(d) = 4*f(d) + 3*s(d). Calculate z(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1235.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4948 + a2?\nAnswer: 4a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*p - 132*p + c - 14 = 0, 2*c + 14 = 6*p - 0*c - 38 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -15825588 less than -15825589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9900312 divided by -2.\nAnswer: -4950156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-35))\/((-216)\/(-84))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1202698 and 131\/14432376.\nAnswer: 14432376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -1 (b) 11 (c) -1.55 (d) 0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*c**4 + 390*c**3 + 560*c**2 + 250*c + 35.\nAnswer: 5*(c + 1)*(c + 7)*(3*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 3*u + 3*u + (-40*u - 16*u + 38*u)*(-5 + 0 + 4) to the form f + n*u and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -79*b**2 + 5306*b - 870. Let q be y(67). Let f(g) = g**3 - 4*g**2 + 3*g - 4. Let s be f(3). Let w = 10 + -6. Sort w, -5, q, s in ascending order.\nAnswer: -5, s, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 11. Let i be n(6). Let y be 6\/3 + 0\/14. Suppose -4*h - 3*d + 20 = -19, y*h + 5*d - 37 = 0. Solve i*w - 3*w = -h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1.481?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14507598.\nAnswer: 2, 3, 7, 29, 43, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 0.78 (c) 4 (d) -5\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3879848.01 rounded to the nearest 10000?\nAnswer: -3880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -37711261.\nAnswer: 2\/37711261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14654 and 12767?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81789339?\nAnswer: 3, 27263113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528138 and 19536.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 5*b - 73. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75455, 75461, 75479, 75515, 75575?\nAnswer: 75665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 167 in increasing order.\nAnswer: -4, 3, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39627 by 7.\nAnswer: -5661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/24 and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x = 8*x - 3*j, x - 5*j - 23 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 38*t**2 - 72*t + 11. Give n(36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20630\/9 + -2292. What is the closest to 0.1 in -3\/2, a, -3, -295?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226 - 376. Let z = b + 149. Let i = -0.1 - 0. What is the biggest value in -0.01, z, i?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1028, 15, 6, -3 in ascending order.\nAnswer: -3, 6, 7, 15, 1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 1.0997168.\nAnswer: 0.6997168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/6)\/((-34)\/(-255)). What is the units digit of (-17)\/(32\/j + 0 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1592 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*i**2 + 16*i**2 + 15*i**2 - 97*i + 11*i**2 - 3 to the form x*i + j*i**2 + m and give x.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t + 2*t + 6 + 4 - 8. Let m(a) = -a + 0*a + 4*a - 2 + 5. What is -7*g(f) + 5*m(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) - sqrt(95)*-1*1 - sqrt(95)))\/(sqrt(45)*-2 + (sqrt(605) - (sqrt(605) + sqrt(605)*-1))).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -143, 7, 56, 0, -1 in ascending order.\nAnswer: -143, -4, -2, -1, 0, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422*v = 319*v + 108047. What is the remainder when v is divided by 450?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t + 41. Suppose 6*d - 25 = -55. Let h be z(d). Solve -h - 19 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*t - b, 19*t - 3*b - 21 = 16*t. Suppose -k = -14 + t. Solve k*f - 2*d - 11 = -1, 12 = -4*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 2 - 3*z - 7*z + 1 - z - 1 + (0 + 0 + 2)*(3*z - z - 3*z) + (3 + 0 - 2)*(-2*z + z - z) in the form p + t*z and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**1)*w)\/w)**(-1\/14))**(3\/19)*w**(-9)*w*w\/(w**(-1\/4)\/w)*(w*w**(-2)*w)**43 assuming w is positive.\nAnswer: w**(-3053\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 872574 and 290858?\nAnswer: 872574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 4}. What is prob of sequence aak?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/((-1)\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -119294539, -119294542, -119294547, -119294554?\n\"Answer: -y**2 - 119294538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 87\/2262*(4 + (-5 - 0) + 4\/(-2))\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 64*w**2 - 54191*w + 269356. Calculate h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 80, 264, 606, 1154, 1956, 3060?\nAnswer: 4514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-3)\/(sqrt(252) + sqrt(252)*-1 - sqrt(252)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-217) + (-7)\/(98\/(-360)). Suppose 19*r = j*r - 4851. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -6997?\nAnswer: -6996.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(484)\/((sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11))*-2)*-5 + 2 + (sqrt(99) + -3)*5*1.\nAnswer: -13 + 50*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 126 + 130 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*j + 238*j + 168*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307021, -1228109, -2763255, -4912459, -7675721, -11053041?\nAnswer: -15044419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339627 is divided by 68.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, i: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**11*r**(-7)\/r assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -92 + 18?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 61906, 41086, 6378, -42224, -104726, -181134, -271454?\n\"Answer: -a**3 - 6938*a**2 + a + 68844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 + -134. Let k(n) = -n + 1. Let g(m) = 9*m - 11. Let y(s) = o*k(s) + g(s). Give y(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p**2 + 0 + 1 + 0*p**2)*(-3 - 1 + 18).\nAnswer: 14*p**2 + 28*p + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*f - 4*f**2 - 91*f - f**2 + (2*f + 2 - 2)*(0 - 5 + 4)*(-3*f - f - 2*f).\nAnswer: 7*f**2 - 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235\/34 - -10\/17. Calculate the common denominator of -2*(0 - 3\/20) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -46*w**3 - 51*w**2 - 26*w - 23. Let v(l) = -16*l**3 - 18*l**2 - 9*l - 8. Give 6*p(a) - 17*v(a).\nAnswer: -4*a**3 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**3*q*s + 2*d**3*q + d**3*z**2 - 7*d**2*q*s*z - 114*d*q*s*z**2 + d*s*z**2 - q*z wrt z.\nAnswer: 2*d**3 - 228*d*q*s + 2*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -0.13. Let t = 2.88 + p. Let o = 3.042 - t. What is o rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (70 + 92 - 36 + (0 + 0 + 2)*(-3 + 0 + 1))*(-27*w + w**3 + 27*w) as p*w + z*w**3 + u*w**2 + j and give z.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**4 - d**2. Let t(g) = -152*g**4 - 12*g**3 + 38*g**2 + 12*g - 18. Let p(l) = -2*t(l) - 44*w(l). Suppose p(y) = 0. Calculate y.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 22*v**2 + 35*v - 6. Determine o(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 148 = 4*w, 5*f - 177 = -3*w. Suppose 0 = -2*t + z + 23, -3*t - z + f - 6 = 0. Solve 4*k + t = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-519443)\/(-1020201) - 12\/26?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*c - 32*c - 2324 = -33*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 21 + 48*a**2 - 11*a - 43*a**2.\nAnswer: 5*a**2 - 11*a + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 + 5 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438417, 438410, 438403, 438396, 438389?\nAnswer: 438382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let s(g) = 51*g**2 - 4*g. Let d(w) = -4*w**2 - w. Let c(b) = -4*d(b) + s(b). Give l(c(n)).\nAnswer: -67*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 8\/7 - 8\/7*w + 2\/7*w**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from fdeeadefewwdfweedwer.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11539843, 23079715, 34619585, 46159453, 57699319?\n\"Answer: -p**2 + 11539875*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1665800 = -190*o - 189390 + 3070290. What are the prime factors of o?\nAnswer: 2, 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 577665165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 6*p - 12. Let j(c) = -c**2 - c + 1. Let k(x) = 3*j(x) + n(x). Let v(q) = q**2 - 2*q + 5. Suppose -5*f - 10 = -35. What is f*v(t) + 3*k(t)?\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*a - 30. Find the third derivative of -33*k**2 - 11*k**a + 2*k**2 - 7*k**5 + 8*k**5 wrt k.\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000058358 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 10*c**2 - 15*c + 13. Let d be s(-8). Suppose -5*k + 4*o + 458 = d*o, -5*k = -4*o - 443. Calculate the highest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 574210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 12:27 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(13)*-1 + 3 + 1 + sqrt(1053))*-3.\nAnswer: -24*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y**1\/y*y))))\/(y\/(y\/y**6))*y\/((y*(y**(-3)*y)\/y*y)\/y)*y\/(y*y*y**(-5)\/y*y)*(y\/(y*y**(-3))*y*y**(-1))**(-2\/13) assuming y is positive.\nAnswer: y**(7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9693735 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 29*l - 542. Let h be r(-42). Solve -3*w = -b + 11, -2*b - 3*b = -h*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4621093 is divided by 1323?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 5. Suppose -3*z - 29 = -5. Let i be b(z). Let x(o) be the first derivative of o**2\/2 - o - 1. Determine x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0.3, -10, -3, -118750?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5, -273 = -4*c - s + 442. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - i**4 - 35*i + 1 + 35*i to the form j + x*i**2 + n*i**3 + t*i**4 + a*i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*105\/147?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194\/17, 1, 0.2, -605 in increasing order.\nAnswer: -605, -194\/17, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1048*n**4 + 253 wrt n.\nAnswer: 4192*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1964.2 * 2051\nAnswer: 4028574.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1621123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47799637 to the power of 1\/2, to the nearest integer?\nAnswer: 6914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5250156 + 0.0850194. Let s = p + 0.44. Round s to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-4*(-11)\/(-704)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p**2 + 6*p + 2. Let o be g(-9). Suppose -10 = -5*u, 0 = -3*q + 2*u - 0*u + o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaka when four letters picked without replacement from aaakaakkaaaaaaaaaa?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-793 + 46*t + 793)*(t - 1 + 5 + 0*t).\nAnswer: 46*t**2 + 184*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*h = 9, -4*k - 6 = -2*k + 4*h. Sort k, 2\/9, -4 in descending order.\nAnswer: 2\/9, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127456 and 896?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbb when three letters picked without replacement from kkkkkkbbkk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 853*k**4 - 24*k**2*n**3 - 47*n**3 + 2*n - 132 wrt k.\nAnswer: 3412*k**3 - 48*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2 - 7*a + 2. Let l be ((-54)\/(-24))\/(3\/8). Suppose 16 = g + l. Suppose -2*i = -0*i + g. Let d(c) = -7*c**2 + 8*c - 2. Give i*d(f) - 6*q(f).\nAnswer: -f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + -6 + 11. Solve 0 = h - c*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 4*o + 15*q, 4*q + 4 = o - 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -2151*z**5\/20 + 127*z**3\/3 + 1361*z. What is the second derivative of s(b) wrt b?\nAnswer: -12906*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2180, 4290, 6298, 8204, 10008, 11710?\nAnswer: 13310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/978 and 89\/41682?\nAnswer: 6794166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 4900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - -3. Let q(y) = 0 + 15*y**2 - b*y**2 - 1 + 10*y**2 - 2*y. Calculate q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -83. Suppose -3*y - 2*d - 3 = 3, -9 = 5*y + k*d. Suppose 4*q = 2*w + 662, 3*q = -y*q - 4*w + 524. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011 times -0.051\nAnswer: -561.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/6)\/((-9)\/140427*7) is divided by 362?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 7:51 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 148503, 19, 0 in decreasing order.\nAnswer: 148503, 19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 11:16 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41435, -82879, -124331, -165785, -207235, -248675, -290099, -331501?\nAnswer: -372875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**5 + 0*h**5 - 3*h**5 + (-h**5 + 4*h**5 - 2*h**5)*(-6 + 0 + 3) - 8*h**5 + h**5 - 23*h**5)*(1 - 3 + 0)*(-4 + 1 + 23).\nAnswer: 1400*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/19))\/((s*s**16\/s)\/s) assuming s is positive.\nAnswer: s**(-267\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6819781, -6819782, -6819783, -6819784?\n\"Answer: -r - 6819780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -107.98. Let b = -0.68 + i. What is the nearest to b in 0.5, 1, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 4*q. Suppose -13*z + 16*z - 9 = 0. Let p be -2 - z*8\/12. What is n(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 176*x**3 + 177*x**3 + 2*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + 3*o)*(6 - 6 + 22*o) - 5*o**2 + 2*o**2 + o**2.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + m - 2*m)*(3 - 4 + 0 + (-1 + 0 - 1 + 1 + 0 + 1 + (-3 + 0 + 2)*(0 + 5 - 3) - 4 + 2 + 3 + 0 + 0 + 2)*(1 + 4 - 3)) in the form g*m + w and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 31*m - 191. Let l be w(8). Let o(d) = -d + 11. Let h(y) = -3*y + 22. Let u(b) = -2*h(b) + 5*o(b). Let t be u(l). Solve -t*c - c = -15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 681 = -2*z, -4*z + 7*z - 1028 = -t. What is the remainder when z is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*-89.\nAnswer: 4806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1106 divide 27505114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1485\/198*(3\/(-45))\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4490101 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69258666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/7 - -23\/14. Which is the nearest to 3? (a) 1 (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/7 + 1170*h**2\/7 + 135836*h\/7 - 276336\/7 = 0. What is h?\nAnswer: -101, 2, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 11:53 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Let q = 428 - 425. Suppose u + u = -4*u. Solve k*f = -u*f - q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:37 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -29*h - 28. Let v(s) = -2*s + 3. Give m(d) + 6*v(d).\nAnswer: -41*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*((-84)\/8)\/7. Suppose 4*t - 18 + 3 = -f, -5*t + f = -k. Suppose 2*q = 2*p - 8, -2*q = 3*p + 5 - 2. Solve -2*l = t - p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyytytqy. What is prob of picking 1 t, 1 q, and 2 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2777141.53 + 21.4.\nAnswer: -2777120.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (81*(-6)\/18 - -16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11270, -11383, -11508, -11645, -11794?\n\"Answer: -6*y**2 - 95*y - 11169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 733900 and 27741420?\nAnswer: 138707100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 513 (b) 13 (c) 0 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12*3)\/((-10)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/14 - -37\/70. Suppose -13 = j + 3*y - 0, 0 = -3*j - y - 55. Which is the closest to j? (a) -2\/7 (b) x (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h - 3*h**2 + 2*h + 4*h**2 in the form b*h**2 + a + q*h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973*(7 + (-7 - -1)).\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*d + 5 = -1, 0 = -4*d. Let u(q) = -1. Let s(x) be the second derivative of 0 + 2*x**2 + x + 1\/3*x**3. What is m*u(r) + s(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6164 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 + v**2 - 2*v + 1. Let s be t(1). Let f = 4 + s. Suppose f*h = h - 1150000. Round h to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143897 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81971247 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9399907 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2978*q**3 - 8789*q**2 - 25011481*q - 2 wrt q.\nAnswer: 17868*q - 17578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(65)*-3*-3)\/((sqrt(605) - (sqrt(605) + (sqrt(605) - (sqrt(605)*2 + sqrt(605) + sqrt(605)))))*1 + sqrt(605)).\nAnswer: 27*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 356 + -1064\/3. Which is the closest to -0.1? (a) 1.4 (b) o (c) 2\/17 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuynkdu. What is prob of picking 3 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhq when three letters picked without replacement from {e: 2, u: 2, r: 2, h: 7, o: 4, q: 2}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13210 (base 4) to base 16.\nAnswer: 1e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 127704 + -754?\nAnswer: 126730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 32 = -23*m + 2*s, -27 = 5*m + 2*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64044 divided by -16011.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 815 and 978?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:24 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121468538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, i: 6, w: 2}. What is prob of picking 1 i, 1 w, and 1 b?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, n: 8, e: 2}. What is prob of picking 1 j and 1 n?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1271 (b) 0.3 (c) -1.1 (d) -247 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -27690850?\nAnswer: 27690855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 10*j - 37. Let w be n(-13). Find the third derivative of -15*d**5 - 28*d**w - d**5 + 0*d**5 wrt d.\nAnswer: -960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -727*f**3 - f**2 + f + 13. Let r(g) = 1453*g**3 + 2*g**2 - 4*g - 27. Let t(h) = -7*a(h) - 4*r(h). Is t(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16442*h + 2*p - 238 = -16446*h, 3*h - 185 = -p. Suppose y - 2 = 0, f - y = 40 + 51. What is the remainder when f is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((-35)\/(-4))*(15450\/300 + -89)\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -23 - (-2 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 6. Suppose -99 = -3*l + o*u - 25, -l + u = -26. Let b = 54 - l. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 16 - 8*r - 16. Let p(c) be the third derivative of -c**4\/12 - c**2. Determine z(p(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 815, 818, 827, 842, 863?\n\"Answer: 3*i**2 - 6*i + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.2181 and 13.\nAnswer: -249.8353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.0927 * 102\nAnswer: -111.4554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-16)*(-11 + 3). Suppose i*r - 3*o - 119 = 0, -4*r - 4*o + 0*o + 112 = 0. What is the second derivative of -3*d**2 - r*d**2 + 34*d - d**2 wrt d?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 7:34 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*p + 8 = 0, -p = 3*n - 5*p - 26. Let h be (1\/12)\/(5\/n). Sort -2, h, 3\/5 in ascending order.\nAnswer: -2, h, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 34*f - 73*f + 34*f. Let h(b) = 6*b. What is s(h(i))?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 540150*c**4 + 1036164*c**2.\nAnswer: 12963600*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573829?\nAnswer: 573829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.68088 days to microseconds.\nAnswer: 4119628032000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17876944 and 5.\nAnswer: 89384720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269490 is divided by 1730?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391388 take away -2.07?\nAnswer: 3391390.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082036183 take away -164.1?\nAnswer: 164.017963817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1610 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -738800 or 0.01?\nAnswer: -738800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-16)\/180)\/((-28)\/490*-21)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1401*d**2 - 3*d + 3. What is the thousands digit of h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from trttaqakrar?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -32, -1\/13, -5, -2\/5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90496754.29 rounded to the nearest one million?\nAnswer: 90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 752*w**2 + 8*w + 4. Suppose -2*z = 2*z + 20. Let q be a(z). Let y = q - 337627\/18. What is the common denominator of y and 49\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/13566 and 39\/2368996.\nAnswer: 120818796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 6. Let n(u) = 3*u - 17. Let k = -11 + 14. Suppose -k*x - 11 = 40. What is x*q(s) - 6*n(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5445*p**3 + 3996 wrt p?\nAnswer: -16335*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*n - 50, 26*c = -5*n + 28*c + 55. Is n smaller than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2511.166694 to the nearest ten.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - b**2 + 13*b + 24. Calculate j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/1 + (-1)\/(240\/1135) and -67\/10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 5*n**2 + n**4 + 0*n**4 + (n**3 - n**3 + n**3)*(-2*n - 2 + 2) - n**4 - 1 + 1 as m*n + q + u*n**4 + i*n**3 + s*n**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5175+-959407.5558\nAnswer: -964582.5558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 + 63. Let m = d - 61. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -266*k - 25 - 4 + 266*k + 95*k**2 + (-2*k - k + 2*k)*(1 - 1 + k) to n + s*k + q*k**2 and give q.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q\/q**(1\/6))\/q)\/q)\/(q*q**(2\/35)\/q)*((q\/(q**(-4\/13)*q*q))\/q)\/q**(-12\/11))**18 assuming q is positive.\nAnswer: q**(-74343\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24120 - -97141\/4. Which is smaller: c or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.015, 2, 4 in decreasing order.\nAnswer: 4, 2, 0, -0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 38342457.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 23 - 70 = 0. Suppose 4*h + 11 = t. Let l = 7 - h. Solve -6*u - l*g = -u + 10, 5*g = -u - 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 9*q**2. Let j(m) = -4*m**3 + 9*m**2 + m. Calculate -2*j(a) - 3*l(a).\nAnswer: 2*a**3 + 9*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 6*c**2 - 1\/6*c**4 - 1\/360*c**6 + 0 - 1\/40*c**5 + 5\/6*c**3. Let x(u) be the first derivative of n(u). Determine x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((3*sqrt(2299) + sqrt(2299))*-6 - (sqrt(2299) - (-3 + 4 + sqrt(2299) + sqrt(2299)))))**2.\nAnswer: -12650*sqrt(19) + 30404300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o = -516*o + 46*o - 828 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**7\/1008 + b**6\/720 + 11*b**5\/60 - 38*b**2. Let z(j) be the third derivative of w(j). Give z(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + (-18 - 0) + 32\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asc when three letters picked without replacement from {s: 5, a: 3, c: 1}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nznnznnnnzzncnccczn. Give prob of picking 2 n and 1 z.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*r + 28*r + 11694. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-195))\/((-2870)\/(-6150)).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + -2 - (115 - 142)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4669 and 10759.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -247\/6 in -3, -2\/21, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 + 185 + 17 - 64)*(n - n + 7*n).\nAnswer: 1785*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.228 + 1.248. What is the third smallest value in 0.2, d, -1\/3, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -186, -283, -382, -483, -586, -691?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 2, d: 2}. Give prob of picking 1 u and 1 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4958, 8605, 12252, 15899, 19546, 23193?\n\"Answer: 3647*x + 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:59 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 477, -2\/7, 2 in decreasing order.\nAnswer: 477, 2, -2\/7, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + (-1 + 9 - (-6 + 11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + t - 2, 2*j + 5*t + 9 = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0033? (a) 4\/7 (b) -48 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1472569 and -0.1?\nAnswer: 147256.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74366\/646 + -115 - (-61)\/(-374).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22080729?\nAnswer: 3, 11, 669113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 21*f - 17. Let t be c(-20). Suppose 2*j + y = 4, -t*y = 6*j - j - 10. Sort -5, -1, j in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = 3*u, -16*u + 21*u + h = -16. Let i be u - 11\/(22\/(-20)). Solve 4*p + i = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 96639*w**2 + 778306344*w - 778209708.\nAnswer: 3*(w - 16106)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 399?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 3, d: 1, p: 3, w: 1, g: 1}. Give prob of picking 1 g, 2 v, and 1 p.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*j + 52*j + 92*j + 21*j)*(2 - 5 + 0).\nAnswer: -879*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 34*a + 13. Let q = 8 + 3. Let c be p(q). Is 1.1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111442, -111451, -111464, -111481, -111502, -111527?\nAnswer: -111556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x = -65 - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -412 + 411.8. Suppose -v - 2 + 0 = 0. Let z = -10 - -7. Which is the nearest to z? (a) p (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from {m: 2, d: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**2 - 32*x**2 - 58 + 17*x**2 + 3*x**4 + 5*x**2 + 310*x**6 wrt x.\nAnswer: 37200*x**3 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1797033\/86 and 20895 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18386 or 18385?\nAnswer: 18385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5643161\/2 <= 2821580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 3.7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 322*w**2 - w + 1. Let b = 252 + -253. What is the tens digit of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -14, 0.63, 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*c + 3*w, 86698*w = 86695*w - 51 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2 + (-3 - -4)). Suppose -222 - 283 = y*n. Let r = n - -104. Solve 2*z = -r*z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*h + 36, 2*h = -4*n + 20 + 8. Suppose 2*s - 9 + n = 0. Find the second derivative of -i**s + i - 21 + 21 wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3080\/1320*12\/(-154)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/9)*z)**(-25\/3) assuming z is positive.\nAnswer: z**(-125\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + (9 - 3 - (11 + -75 + 28)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134606563.\nAnswer: 7, 13, 1479193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 27*s - 12. Does 12 divide t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 2*k**5 - 4*k**5 + (-4 + 3 - 1)*(5*k**5 - 8*k**5 - 18*k**5).\nAnswer: 38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37021 is divided by 18498?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 15*a + 11. Let u(i) = -i + 1. Let l be u(-10). Is 18 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 3*t**2 - 34*t - 14. Let r be j(15). Suppose r = 16*g - 14992. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 4*b**2 - 6*b - 6. What is the remainder when m(-4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 4*y - y - 18*y - 14*y + 26*y.\nAnswer: -3*y - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -1\/8*f**2 + 9 - 1\/48*f**3 + 1\/96*f**4 - f. Suppose v(j) = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31049936 rounded to four dps?\nAnswer: 1.3105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 812020083 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -37*f**2 + 2*f + 2. Let y = -55 + 54. Let v be k(y). What is the fourth biggest value in v, -4, -3\/4, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 6*b, 0 = 2*i - 4*b + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 times 4095?\nAnswer: 20.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 = -2*x - 1, -11 = -x + 4*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/185*(-4)\/16*12\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is the ten thousands digit of 13399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-40 + -72)\/(2\/(-3)) and 44.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 21, 7\/11, -6, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Let q(w) = -2*w - 5. Let b be q(-11). Let m = b - 18. Sort m, 0, u.\nAnswer: m, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exe when three letters picked without replacement from xeewwexxxxexewwxweee?\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2204 + -2204.001. Let p = 0.01218 + -6.01318. Let s = p - v. Sort -2\/7, s, 1\/4 in increasing order.\nAnswer: s, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50\/23, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose -2*l - 54 = -i*d, -d + 2*l = -0*l - 9. Let w be 41\/(369\/54) - (1 + -3)\/(-2). What is the highest common factor of d and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78954539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485203626.\nAnswer: 2, 8951, 82963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = 3*n, -5*n + 21 = 2*w + 1. Suppose w = -5*f - 0*f - 5. Let t be 27\/(-15) - (-2)\/(-10). Is f greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1159*t + 16226. Give k(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40223647?\nAnswer: 31, 1297537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -181, -292, -495, -832, -1345?\n\"Answer: -7*i**3 - 4*i**2 - 50*i - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 7. Let u(p) = 4*p - 14. Let g(n) = 4*u(n) + 7*z(n). Let c be g(11). Solve a - q + c = -2*a, 0 = 2*a + 2*q + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456101 < 1368307\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067156 + 14?\nAnswer: 13.932844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 8*r + 8*f - 8 = 4*r, -12*f = -11*r + 16*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o*y**4 - 2*o*y**3*z + 2*o*y**3 + o*y**2*z + 2*y**4 - y**2*z - 7*y**2 + 2*y*z wrt y.\nAnswer: 24*o*y - 12*o*z + 12*o + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 42*z\/11.\nAnswer: 2*z*(z + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4108723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/61)*n\/n**2)\/(n**(-28)*n*n**(4\/7)\/n) assuming n is positive.\nAnswer: n**(11299\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**3 + 41*r**2 + 295*r - 339411?\nAnswer: -3*r**2 + 82*r + 295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391 - 3638 + 120*f + 223.\nAnswer: 120*f - 3024","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1053.08 - 1073. Let x = l + 18.1. What is x rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61\/12 - -5. Let n = o - 1\/4. What is the third smallest value in -1, n, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*62\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + j. Let a be f(-3). Suppose l + 4*l = a. Solve 0 = 4*b + 5 + l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110475 and 4419.\nAnswer: 110475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**5\/20 - x**4\/2 + 3*x**3\/2 + x**2 - 15*x. What is w(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1197.5 + -93.5. Let b = o + -1104.3876. What is b rounded to two decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/20, 0.3, -7.\nAnswer: -7, -3\/20, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -11 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 720\/(-28)*(8 + (-3220012 - -4)). Round f to the nearest one million.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -17\/2*j**2 - 1\/3*j**3 + 0 - 6*j. Calculate the least common multiple of 7 and y(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (8 - 1 - -19) + (-3 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 146403610?\nAnswer: 146403605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:33 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-28) + (9\/(-126))\/((-3)\/1026). Let a(m) = -m + 15. Calculate a(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84376, -168783, -253200, -337633, -422088, -506571, -591088, -675645?\nAnswer: -760248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + -2 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2732\/11 - 9084\/55. Let b = -84 + i. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + x)*(5*x**2 - 3*x**2 + 0*x**2) - 174 + 174 + 22*x**3.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y + 4 = 73*y - 33*y + 2*p, -5*y = 4*p - 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6378475.\nAnswer: 5, 23, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 11 + -10 - -23 - 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*v - 75*v = 19*q - 29, -5*q + 11 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.351 + -4.649. Put -2\/5, 2, -0.3, q in ascending order.\nAnswer: q, -2\/5, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167355899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 99 + 2 + 4\/(-2). Let j be (-12)\/u*3\/2. Let s = -0.1 - -0.4. Which is the biggest value? (a) s (b) -5\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111044 by 685.\nAnswer: -111044\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27657180)\/120*((-4)\/(-72))\/((-2)\/8)?\nAnswer: 51217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o - 15. Determine r(9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - l + 2*y + 2473 = 2484, 5*l + 3*y = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -53.00000089. What is s rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/24 - 84*z**2 - 2. Let u(q) = -221*q. Determine m(u(p)).\nAnswer: 221*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1281 divided by 427.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 7 = -3*o + 14, -7*o - 3*g - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*r = -7286 + 1286 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 499b - 2880?\nAnswer: 211b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32120\/9 - 3574. Let n = -211\/36 - p. Let j be 10\/15*30\/4. Put 0, j, n in decreasing order.\nAnswer: j, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/8704*(-16)\/(-4))\/((-9)\/(-12))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.48088 nanograms to micrograms.\nAnswer: 0.09248088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/5? (a) -2\/21 (b) 3\/4 (c) 2\/5 (d) -2\/5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3653 + -3647. Solve 43*c - 41*c - f = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636 = 2*f + 4*k - 598, 0 = 5*f + 5*k + 50 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2\/13*n**5 - 90\/13*n**2 + 0 + 14*n**3 + 0*n - 94\/13*n**4 = 0.\nAnswer: 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/105 and 103\/150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207809\/18 - -11548. What is the common denominator of -49\/30 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101992589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 7*v**2 - 30. What is q(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(2 + sqrt(208)) - sqrt(208)) - (sqrt(208)*-3 + -5)*-5.\nAnswer: 25 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + 2 - (-59 + (75 - 24)) - 12?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 2*f - 2, 4*b = 4*f + 15 + 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 490?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*(q*q\/(q**(-1\/7)*q)*q)\/q)\/(q\/(q*q**(1\/3))*q))\/(q**(-1\/2)\/q)**(-12))**(-1) assuming q is positive.\nAnswer: q**(326\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(240)*1)\/(sqrt(80)*1*5).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1065865? (a) -1\/3 (b) -1\/4 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*c - 67, -365 = 5*v - 3*c - 2*c. Suppose -24*s + 86 = -178. Let y = s - v. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 146*h - 6. Let n(q) = 46*q + 2. Let r(x) = -2*n(x) + z(x). Let j(u) = 7*u. Give j(r(c)).\nAnswer: 378*c - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147646 divided by 6.\nAnswer: -73823\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 14*f + 8. Let p be u(6). Suppose 0 = 4*m - 4 - 0. Sort p, m, -3.\nAnswer: p, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36 and -0.199636289229.\nAnswer: 35.800363710771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 455 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.15 (b) -0.2 (c) -13\/3 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -30. Suppose -m + 128 = -s*d + 2*d, 2 = -d. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*t + 1 = 6, -4*t + 4 = -5*w. Let o(l) = -l**2 - l + 2. Let f be o(w). Suppose f*i = 14 + 4. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4057457931 and -3.\nAnswer: 4057457928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3420, -3419, -3418, -3417, -3416?\n\"Answer: d - 3421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/467 and 27\/42919.\nAnswer: 20043173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2345365 is divided by 469020.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 - 2*j**4 - 3*j**4 + (-4*j**2 - j**2 + 6*j**2)*(-4 - j**2 + 4) + 0*j**4 - 3*j**4 + j**4 - 1 + 2*j**4 + 1 + 6*j**4 - 5*j**4 - 4*j**4.\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -255950595*l**3 + 448241958*l wrt l?\nAnswer: -1535703570*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -56, -67, -94, -143?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -7 (b) 1\/9 (c) 60921\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*p + 6 = -255*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 622*q - 1. Let n(d) = 22*d**2 + 12*d + 276. Let c(v) = 13*v**2 + 7*v + 161. Let a(p) = -12*c(p) + 7*n(p). Give g(a(j)).\nAnswer: 8*j**4 + 1244*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 22*n**2 - 15*n - 161. Let u be i(20). What is the highest common divisor of 113 and u?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4 - 37*m + 5 to the form n*m + p and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 e when four letters picked without replacement from {e: 4, a: 6, o: 7}?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 1. Let t(h) = -5*h - 2. Let w(u) = 11*i(u) - 6*t(u). Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*u = -87*u + 570. Which is smaller: 1180\/21 or u?\nAnswer: 1180\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1098*z**3 + 3*z**2 - 1337. Let i(h) = 2194*h**3 - 7*h**2 + 2672. Let g(a) = 3*i(a) + 7*p(a). What is the derivative of g(o) wrt o?\nAnswer: -3312*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -19 - (6\/9)\/((-4)\/18). Let l = -12 - q. Solve -x - 5 = -l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 354508 = -3*o - 20*o. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*r - 5*g - 21, 0 = -2*r - 2*g + 46. What is the remainder when 209 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2 and 9\/(-63) - (-533)\/(-140).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - s**3 + 5 + (2 - 2 - 3*s)*(-57 + 57 - 14*s**2).\nAnswer: 41*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 368\/92*(-4358)\/(-8). Is h > 2180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 24387?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, -4, -6 in increasing order.\nAnswer: -6, -4, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009106?\nAnswer: 2, 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3852.22 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 9*o + 19. Let t be 16*(-3)\/(2 + -8). Let p be v(t). Let u be 1\/((-1)\/(-10 + -1)). Calculate the highest common divisor of p and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 13*p**2 + 31*p + 14. Let y be i(-10). Let g be 9*(y\/(-6) - -1) - 3. Is g bigger than 2\/571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 58811*r. Let j(k) = -3*k**2. Calculate j(b(d)).\nAnswer: -10376201163*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqbqbqqbkqbk. Give prob of picking 1 k and 1 q.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86940 and 60858?\nAnswer: 608580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(10\/800*30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143695*c + 597766*c + 156240*c.\nAnswer: 610311*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 14*h**2 + h + 16. Let o be y(-14). Let w(j) = -6*j - 13. Let m be w(-3). Solve m + 3 = o*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuwd when four letters picked without replacement from {d: 2, w: 2, b: 1, u: 4, g: 3, l: 3}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*i + 96524 + 7387. Let k = -1293 + i. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 9. Let x be (4 + -3)\/(1\/4). What is the closest to 0.2 in 2\/7, i, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21839979030623\/9402 - 2322907786. Let i = -2\/1567 + b. Is 3 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q*u**3*y**3 + 2*q*u**3*y**2 - 4746*q*u**2*y**2 + 5*q*y**3 - 13*y**3 wrt y?\nAnswer: -42*q*u**3 + 30*q - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 7*x - 3. Let p = -16 + 30. Let o = 20 - p. Let k be t(o). What is the highest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 148*f - 275. Determine q(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(sqrt(110) - (-3*sqrt(110) - sqrt(110))*5 - sqrt(110)))\/(sqrt(90)\/(sqrt(9) - (-4*sqrt(81))\/sqrt(9))*-3).\nAnswer: 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -570.9676 + -0.0324. Let m = -566 - c. Let n = 3\/2 - 2. What is the nearest to -2 in n, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-5))\/((-98)\/245)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmz when three letters picked without replacement from {m: 7, y: 2, z: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2182074 and -0.07?\nAnswer: 2182073.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 2 + 586 = 0. Let g = w - -153. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2763*i**3 - 15395*i wrt i?\nAnswer: 16578*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 19*m**5\/120 + 11*m**4\/12 + m**3 + 15*m**2. Let t(h) be the first derivative of p(h). Is t(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 5*r + 7. Let n be x(5). Let k(v) = n - v - 7. Let c(p) = 1. Let d(o) = o - 2. Let u(w) = -2*c(w) - d(w). What is k(u(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - f + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*g = 47*g - 18 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*u - 1 - 23, -2*u - 6 = 0. Solve a + 0 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85315 + 1120162412\nAnswer: 1120077097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 21*r**2 + 49*r - 44. Let d be v(-18). Solve -d*c = -56*c + 60 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1071\/4 - 269. Let r be -1 + (15\/(-9) - -2). Which is the nearest to r? (a) -0.4 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and 303.\nAnswer: 303.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.1 - 6.8. Which is the smallest value? (a) 2 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-15) - 13448\/60. Let z = d + 242. Calculate the least common multiple of z and 430.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78.71 + 79. Let b = a + 0.01. What is the nearest to 5\/3 in 0.4, 3, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -200?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d - 30. Let y(s) = -s**2 + 43*s - 529. Let k(f) = -2*f**2 + 85*f - 1058. Let v(b) = d*k(b) - 14*y(b). Solve v(l) = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3413 divided by 72.\nAnswer: -3413\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 5576960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-50)\/(-50)*(-90)\/(-7)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101185 is divided by 2896?\nAnswer: 2721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51127*c**2 - 16584?\nAnswer: 102254*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - -0.95. Let q = -3.4 - -3. What is the second biggest value in -0.2, q, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2 + 3. Let q = -3 + 2. Sort j, 2, q in decreasing order.\nAnswer: 2, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 7. Let j = -1 - g. Suppose -2*f - 4 = 0, 0 = 4*h - j*f + 1 - 29. Sort 1, h, -4 in descending order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23024 + -3?\nAnswer: 23021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89 + 543?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (9 - -5) - (13 + (1 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 - 2*d. Let y(i) = 17*i**2 - 9*i. Let g(s) = -s**2 - 7*s - 9. Let v be g(-7). What is v*m(j) + 2*y(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3 (c) -1728\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*j = -40, -2*m - m - 4*j - 51303 + 51252 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 5) to base 12.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -935 - -4?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumeueum. What is prob of picking 1 u and 1 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {o: 4, j: 2, z: 2, f: 2, a: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045214 to three decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-1 + 6 + (-12 + 13 - 3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 12*x - 9. Let q be s(-12). Let r be (-6)\/4*12\/q. Solve -r*z + 0 = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 1. Let h(u) = -763*u**2 + u + 8. Let y(k) = -2*h(k) - 18*x(k). Let m = 3 + -2. Let f be y(m). Round f to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-270*(-52)\/16848)\/(-7*(-5)\/(-4))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 - -0.86. Let j be 66\/22 - (1 - (-1)\/1). Let k be 1\/j*(2 - 55\/30). Put z, k, -1\/6 in decreasing order.\nAnswer: z, k, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85.7 + 85. What is the fourth biggest value in g, -2, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-31)\/(-186) + 19\/(-6). Let n(l) = l**2 - 2*l**u - 3829*l + 3844*l + 3. Determine n(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 519, 1028, 1527, 2010, 2471, 2904, 3303, 3662?\n\"Answer: -y**3 + y**2 + 513*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 1467.\nAnswer: -1467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -32 - (863 + -904)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261 - -279. Solve 7*v - 16 + 15*v + 0*v**2 - x*v + 2*v**2 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*a + 5 = -6*d, -9 = 2*d - 3*a. Let z be (-3 + 3)*d\/(-18)*3. Solve z = -8*u + 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 0*k)*(-89 + 226 - 31) + 2*k - 20*k + 6*k.\nAnswer: -118*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 21*v**3 - 7*v**2 - 61. Let t(a) = -14*a**3 + 5*a**2 + 41. Suppose 2*j = 12*j + 70. Let h(g) = j*t(g) - 5*w(g). Differentiate h(y) with respect to y.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p**2 + 17*p + 1. What is b(2)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**5 + 1593*w**4 - 3*w**3 - 1067*w**2 - 222.\nAnswer: 240*w**2 + 38232*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -9. Suppose -18 + 3 = -v*d. Solve f = -2*f + d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-88 - 18)*(-29)\/2. Calculate the highest common divisor of o and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(3\/(-2) - -1). Suppose -3*v + s + 9 = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -646 or -940?\nAnswer: -940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 - 2834*x - 2828*x + 5671*x)*(-3*x + 3*x - 2*x**2).\nAnswer: -18*x**3 + 182*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*(2\/(-5) + (-180)\/(-200)). Suppose 16*w - 5014 = -v*w. What is the remainder when w is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + h**3 - 2*h**2)*(1 - h - 1)*(-2 + 2 + 7*h).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (2*sqrt(10)\/sqrt(2))**2)*6*5.\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(1300)*5)**2*-4.\nAnswer: -2080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3176 + 3215. Suppose -21*m + y + 1946 = 0. Is m a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27223350839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -26, 4, -6\/5, -2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 3*a + 17 = -5*j, 0 = 2*j + a - 9. What is the derivative of -j*v**3 + 288 + 181 - 284 - 21*v**2 wrt v?\nAnswer: -6*v**2 - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.099 + 15.089. Which is the fifth smallest value? (a) 1\/5 (b) -1\/3 (c) o (d) -24 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (4 + -1)\/3. Suppose 5 = -0*a + 5*a. Solve -v = -2*c + a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(14)*3*5)\/sqrt(2))**2 - ((sqrt(847) - sqrt(847)*-2)*2 + -3)**2.\nAnswer: -28917 + 486*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-168)\/(-112)*16\/6. Sort -4\/11, u, -5.\nAnswer: -5, -4\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3\/7, 15103\/7 in increasing order.\nAnswer: 3\/7, 7, 15103\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 12 = 4*s, 5*s - 46*f + 21 = -47*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*l**3 + 22*c*l**2 + 2*l**4 - 35*l**3 - 17*l**2 + 1 wrt l?\nAnswer: 12*c + 48*l - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**4\/5 + 18014*h**3\/5 + 2683058*h**2 - 159045766*h\/5 - 54505176\/5 = 0.\nAnswer: -1507, -1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = -856. Suppose -59 = -i + 3*t, 0*t - x = -4*i + t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 209, 830, 1857, 3284, 5105?\n\"Answer: -d**3 + 209*d**2 + d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + s = 3*q - 285, 3*q = -s + 205. Let u = 115 - -93. What is the remainder when u is divided by q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.9 * 57.\nAnswer: 792.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 860765333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:54 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k**2 + 6*k. Let c(s) = -s**2 + s. Determine -5*a(m) + 30*c(m).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let n(o) = -141*o + 3668. Let h be n(26). Sort 4, h, -5, l in descending order.\nAnswer: 4, h, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 344622 = 89334. Let g be (1 - a) + (6 - 2 - 7). What is g rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.1, -6, 5, -19\/4?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12202000 (base 3) to base 2\nAnswer: 1000001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31\/5 + 1\/(-5). Let p(q) = 83*q**2 - 8*q - 1. Let r(g) = 235*g**2 - 23*g - 4. Let n(m) = 17*p(m) - 6*r(m). What is the tens digit of n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*h = -418*h + 102 + 247 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16707 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-419)\/(-6704))\/((-1)\/(-4)*-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*c - 132*c = 4*h - 9, 36 = 7*h + 5*c. Calculate the highest common factor of h and 4260.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-336)\/99 - 34*(-8)\/748.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*2 - (-9)\/(-9). Suppose 4*s = 3*q - 40, f*s - 2 = -0*q - 4*q. Let i be (-17 - s)*2\/(-4). Solve -i*k + 12 = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5559066 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3.7809*-831\nAnswer: 3141.9279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d - 58. Give j(-1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q - 36*q + 52 = 0. Let m(w) = -3*w + 1 + 2*w**2 + w + w - 3*w. What is the remainder when m(6) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235548 is divided by 13079.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 235 - 470 - f**2 + 235. Let b = -8 + 26. Let c(n) = -18*n + 10*n**2 + b*n. Determine d(c(z)).\nAnswer: -100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = j - a + 37, -324 = 4*j + a. What are the prime factors of (4388\/9)\/2 - 18\/j?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*v + 16, -4*o - v + 12 = -5. Is o + (2\/(-8) - (-64665)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*(-3 + 2))\/(-8 + 13). Solve 3*k + 6 - 3 = i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 3199, 1 in increasing order.\nAnswer: -5, -3, 1, 3199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -853*g**2*m - 4*g*m - 7*m + 2 wrt g.\nAnswer: -1706*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 55 = -5*x, x - 3*l = -0 - 6. Let t(b) = b**2 - 7*b. Suppose 5*y - y = 208. Calculate the remainder when y is divided by t(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61\/4? (a) 0.1 (b) -41 (c) -2\/19 (d) -1\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100255 rounded to three dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/30 - 5*w**5\/3 + w**4\/6 + 50*w**3\/3 + w**2 + 68. Determine k, given that t(k) = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-108)*36\/(1*-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1105367887 and 1391?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (-31 + 8)) + (16 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 579 + -578. Are 3\/104 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/25)\/n**(-1\/6)*n*n**(1\/10)\/n*(n**(-4)*n)\/n*n*((n*(((((n*n**(-2\/17))\/n)\/n*n*n*n)\/n)\/n)\/n)**(2\/5))**(-1\/11) assuming n is positive.\nAnswer: n**(-37153\/14025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(76) + 0)*-5)**2 + -4 - ((-4 + sqrt(76) + -2)*-2)**2).\nAnswer: -2896 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r. Let y = -6 - -11. Let t be g(y). Suppose t*q = -5*q + 150. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 2\/9, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2. Let h = 3 + 12. Suppose 10*v - 5*v - h = 0. Let w(c) = v*c**2 + 0 + 1 - 1. Determine w(s(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8018.74 - 8129. Round b to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 246 + 84*d**3 - 246 + (-d + 3*d - d)*(-5*d**2 + 5*d**2 - 2*d**2).\nAnswer: 82*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) + 5 + 3. Let s(c) = 14*c + 3. Let x(d) = d - 265 + 4*d - 283 + 837 - 288. Calculate v*s(z) - 17*x(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 371925 or 373550?\nAnswer: 371925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1634557 - 5?\nAnswer: -1634564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 209296480 a multiple of 4640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 172476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/63 - (-1)\/3. Suppose 5*c - 9 = -z + 5*z, -3*z - 5*c = -37. Suppose -5*v = -v + z. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169218763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 12 + 48)*(-z + 4*z - 5*z)*(21 + 8 - 39 + 9*z) to the form k*z**2 + v + a*z and give k.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-30)*345\/6. Let q be 1\/(3\/i)*3. What is q rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5827617 to the nearest integer?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 478.9 + -478.9010076. Let i = h - -0.001. Round i to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-6)*(6 - 9)\/1. Let a be (s - 125\/15)\/((-1)\/9). Solve v - 30 = -5*q, -q = -v + a*v - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = 2*z - 4, 3 = z - 2*b. Let d be (z + (-9)\/(-5))*-15. List the prime factors of 1*d*4\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 25*o**2. Let q(i) = i**2 - 10*i + 26. Let j be q(6). Let f(l) = -7*l**2 + 3*l**j + 6*l**2. Calculate t(f(m)).\nAnswer: 100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -87750, -87752, -87754, -87756, -87758?\n\"Answer: -2*t - 87748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12149784?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 8.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 5*h - 6, -5*h + 818 = -2*d + 820 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 + 344436*x**3 + 573282*x.\nAnswer: -24*x**2 + 2066616*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhfhffffff. What is prob of picking 2 f and 1 h?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1656, -1564, -1470, -1374, -1276, -1176, -1074?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - -2) + -3)*(15 - 10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 3*x - 1. Let c(q) = 4*q**2 - 5*q - 3. Let i(h) = 3*c(h) - 5*r(h). Is i(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*l + 751 = 0, -4*l - 236 = 2*m - 996. Let x = m + -375. Solve 4*f = -x*g + 2*g - 17, 0 = -3*f - 5*g - 34 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2323619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-2\/35))**1)**(2\/163))**1)**(20\/9) assuming c is positive.\nAnswer: c**(296\/10269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -20*k**5 - 42335*k**4 - 27414150*k**3 - 5552916640*k**2 + 35640246170*k - 30059873025 = 0.\nAnswer: -1105, -509, 1, 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from islxsialliiin. Give prob of sequence anii.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from yttqqbca.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-33))\/(-2)*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -334 - -337. Let s(p) = -1 - p**3 + 2*p**3 + 3 + 3*p + 2*p**2. Let q be s(-2). Put h, q, -3 in descending order.\nAnswer: h, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 265*w**2 - 166*w - 1400. Calculate p(-132).\nAnswer: 3088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - -107. Suppose -5*o - 288 = -3*y, -3*y - 3*o + 18 + 270 = 0. What is the greatest common divisor of y and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 6, 1\/2, 1\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 0*a**2 + 6*a**2 + 13323*a - 10*a**2 - 4*a**2.\nAnswer: -3*a**2 + 13323*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -45. Suppose -44 = -0*w + 2*w. Let k = x - w. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-1)\/12)\/((-9625)\/2100*54\/(-132))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 13, -5, 170, 1, 5 in ascending order.\nAnswer: -5, 1, 5, 13, 15, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 587554 or 587486?\nAnswer: 587486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 3. Let t be u(-4). Let m be ((-6)\/18)\/(2\/(-6)). Let g(a) = t - 2 - a + m. Let k(v) = -3*v. What is k(g(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Suppose 1 = -t + f. Solve t*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 2*u**4\/3 - 2*u**2 + 2*u. Let r(j) = 9*j**2 - 5. Determine 5*q(h) - 4*r(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + 4*r**3 + 0*r**3 - 5*r**2)*(-3*r**2 - 3*r**2 + 3*r**2).\nAnswer: 3*r**5 + 15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 27 = -5*m, 2*l + 0*l - 1 = -3*m. Let a(j) = m + j - 3. Let i(z) = 5*z**2. Give a(i(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**3\/6 + k**2\/2 - 3*k. Let m(a) = -6*a - 5. Let l(y) = -m(y) - 5*z(y). What is the units digit of l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/17028 and -163\/68112.\nAnswer: 68112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3802*i - 7425*i + 3819*i = -14700 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d**2 - 73316*d + 36660 = 0. Calculate d.\nAnswer: -9165, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {h: 5, n: 1, b: 4, p: 2, l: 5, k: 3}.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14224328717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o = 20*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 155595 less than 7312921\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/60 and -51\/233575.\nAnswer: 2802900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 48*b = 0. Suppose -5*i - h + 116 = b, -4*i + 5*h - 2*h = -108. Suppose -4*a + 28 = -i. What is the remainder when 168 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2071.5228 seconds to minutes.\nAnswer: 34.52538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -9*b + 42 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3652 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, 0.1, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**3 - 4*l**2 + 9*l + 6. Let p be r(-6). Let u = 2036\/3 - p. Calculate the common denominator of 12\/11 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 14899.\nAnswer: 35\/14899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1075321 by -24.\nAnswer: -1075321\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1368 - 0.1\nAnswer: -1368.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -26 (c) 6 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 9)*((1 - 2 + 3)*(-2 + 4 - 4) + 1 + 5 + 7 + (0 + 4 - 6)*(-6 + 1 + 3) + 10 + 8 + 4)*(-2*k**3 + 0 + 0) as t*k + y*k**2 + z + x*k**3 and give x.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnnpnpnppffppnfppfpk. What is prob of sequence nnpp?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -59099455 divided by 5?\nAnswer: -11819891","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - 2) - 0 - (137 - 143).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -735, -189 in increasing order.\nAnswer: -735, -189, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 18 - 18) + 32 + -78?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*r = -18, 63 = -5*z + 3*r + 18. Let o = z + 11. Suppose 2 = u, 0*u = -4*b + o*u + 52. What is the remainder when 23 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51420, 97475, 143530, 189585?\n\"Answer: 46055*l + 5365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*v + 3, 0*h = -5*h - 2*v + 21. Let x(n) = -1 + 2 - 2 + n. Let y be x(6). Solve h*r - y = 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -8. What is the units digit of (-3)\/((-3)\/(-192)*p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3140505 (base 6) to base 7\nAnswer: -1205252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-468)\/(-39)*(-3)\/((-36)\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2966 - -4154. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 4, 58, 166, 346, 616, 994?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 10. Let g be m(0). Let j(q) = -2*q + 2. Let x(y) = -4*y + 3. Let w(a) = 7*j(a) - 3*x(a). What is the tens digit of w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(-1) + (-3)\/(-3). Suppose 5*a - 67 = 4*v + 423, -2*v = 4*a - 366. Is 12\/42 + a\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 3*h + 0 + 0*h**3 + 1\/4*h**4 - 3\/2*h**2. Factor f(z).\nAnswer: 3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000010111 (base 2) to base 5\nAnswer: -13142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 15 = -5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/(m*m**(1\/9)*m*m)))))**(2\/89) assuming m is positive.\nAnswer: m**(56\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i - 10 = 0. Let r be (-10)\/8 + 1\/4. Let t be r*(1 - (-6)\/(-3)). Sort i, t, 5 in descending order.\nAnswer: 5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.833148 decades to millennia.\nAnswer: 0.02833148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 79 - 199 - 12*a**3 - 11*a**4 + 7*a**3. What is the third derivative of i(z) wrt z?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 220?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 8*i**2 + 31*i - 82. Let b be x(10). Which is smaller: b or 315\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/78? (a) 0.4 (b) 0.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 1 = 0. Let c = 6 - y. Solve -c*v - 2*s - 21 = 0, -2*v = -0*v + s + 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.265 and 691?\nAnswer: 183.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -7\/3 (b) 2\/9 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 6:47 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11557408 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/3 + 734*m**2\/3 + 167020*m\/3 + 3835000 = 0. Calculate m.\nAnswer: -354, -250, -130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/20 - 7*h**4\/12 + h**3 - 3*h**2\/2 + h - 40. Determine q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.03 + -0.03. Let u = 483 + -483. Which is the closest to u? (a) r (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 1\/10, -0.4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 177 and 66?\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 301133492353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 267719908615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/3*0. Let r be (0\/(h - -3))\/2. Suppose 4*f + r = -4. What is the nearest to 0.1 in 1, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 41 = -13*n - 3*x, -5*x - 143 = -4*n. What is the least common multiple of 240 and n?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28556 or 28692?\nAnswer: 28692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(60)\/sqrt(5)))**2 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7, -2, -2\/43, -65, 2, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21438*p**5 + 4239*p**4*s**2 - p**2*s**2 - 11*p**2 - 2*p + 3796*s**2 + 346*s wrt p?\nAnswer: 1286280*p**2 + 101736*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61473, -61502, -61541, -61596, -61673?\n\"Answer: -c**3 + c**2 - 25*c - 61448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) - (-121)\/5. Let s = y - -2. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (-12 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 308*b**2 - 930*b + 841. What is d(-311)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -647.7+0.024\nAnswer: -647.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.6580727 to 2 dps.\nAnswer: 111.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 722 - 690. Solve -3*m + 4*n = 1, -2*n - g = -4*m - 5*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let q = -2.054 - -0.054. What is the nearest to k in q, 4, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*w - 23, -6*w - 4 = -2*w - 2*o. Let l be (-74)\/(-8) + (-2)\/8. What is the greatest common factor of l and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 4\/7, -0.14, 3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3*q**2*s**2*w**2 - 285*p**3*s*w**2 - 19*p**2*q*s*w**2 + p**2*w + 5*p*q**2*s**2*w**2 + 3*p*s**2 wrt p?\nAnswer: 6*q**2*s**2*w**2 - 1710*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**4\/6 + 2*c**3\/3 - 334*c**2. Calculate k(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1559, -2052, -2539, -3020?\nAnswer: -3495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*f**2 - 56*f**2 - 2 + 0)*(-30*f - 11 + 16*f + 16*f).\nAnswer: -50*f**3 + 275*f**2 - 4*f + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/4, -0.29, -3, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*34\/(-119). What is the nearest to 0.1 in 4\/7, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.517 times -8\nAnswer: -108.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.4, -0.2, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/17 + 56*n**4\/17 + 384*n**3\/17 + 796*n**2\/17 + 674*n\/17 + 12 = 0.\nAnswer: -3, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 2*y + 66, 7*v - 10*v + 96 = 4*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18382822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4259, -2\/5, -103 in descending order.\nAnswer: 0, -2\/5, -103, -4259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8357663771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/12 + 11*m**3\/6 + 7*m**2 - 14*m. Let q = -10996 - -11008. Determine k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26858.8 + 26859. Let o = 0.255 - 0.045. Let b = 0 - -2. What is the nearest to o in -3, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 5:22 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202221 - -1021101011101?\nAnswer: 1021100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/12 - 11*l**3\/6 + 3*l**2\/2 - 4*l. Let r be v(11). Solve r = 5*z - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o = -n - 15, 0 = o - 4. Let m(i) = 5 - n - 4 + 2*i. Let j(p) be the third derivative of p**4\/3 + 41*p**2. What is m(j(z))?\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-27) - 128\/(-6). Suppose i + 0 = n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1360*u + 46 - 1362*u - 49*u**2 + 47*u**2)*(-4*u + 0*u + 2*u) as v*u + q + d*u**2 + a*u**3 and give v.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.01528mg in nanograms?\nAnswer: 66015280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 911218 at most 911843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(sqrt(1100) - 2*sqrt(1100)) - sqrt(1100)) + sqrt(1100) + -3 - 3*(-3*(sqrt(77) - sqrt(77)*1) - sqrt(77))\/sqrt(7))**2.\nAnswer: -1290*sqrt(11) + 101740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Let m(f) = -f**3 - 2*f**2 + 3*f. Let q be m(-3). Let h(i) = q*i - 2*i + l - 2. Give h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 4*t - 4*t. Let r = 5 - 3. Let l(x) = 0*x**2 + 4*x**2 + 2*x**r. Give l(z(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5654284 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 31726292.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-9))\/((-170)\/85)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {c: 1, f: 1, h: 1, l: 3, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 b when four letters picked without replacement from {h: 4, g: 1, b: 3, s: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4553*a**3*c*s - 90*a**3*t**2 - 6*a**2*c*s*t + 2*a**2*t**2 + 68*a*c*s*t**2 + 2*a*s*t**2 - a*s + 5*c*s + 2*c wrt a.\nAnswer: 27318*c*s - 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 0)*(8 + 7*p - 8)*(10 - 4 + 2*p - 5).\nAnswer: -70*p**2 - 35*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10993441 (base 10) in base 9?\nAnswer: -22615144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {j: 2, b: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 29 + 5 = 2*c, 0 = 2*c - 5*s - 8. Let y(f) be the second derivative of f**5\/20 + 7*f**4\/12 + 3*f**3\/2 + 9*f**2\/2 - 2*f. What is y(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1287?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, 1358, 6147, 15872, 32177?\nAnswer: 56706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1089, 1090, 1091, 1092, 1093?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1687*r - 2567*r + 26528 = -938*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/9, -2, 0.5, -24?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.4, 43, 3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -21, -5, 5, 7, -3 in decreasing order.\nAnswer: 7, 5, -3, -5, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -254.65 times 0.2?\nAnswer: -50.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13991 (base 11) to base 16\nAnswer: -4d6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17347 + 0.108023. Let g = -44.861553 + w. Let f = -45 - g. Round f to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:31 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (12 - (-9 - -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295616282.\nAnswer: 2, 3, 59, 3659933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12055404 + 43?\nAnswer: 12055450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 18. Let i(l) = -5*l**2 - 3*l + 4*l + 5*l + 6*l**2 + f. Give i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23251 (base 7) to base 3\nAnswer: -22011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -406*h**3 + 651*h**2 + 1 wrt h.\nAnswer: -2436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9439498mg to tonnes.\nAnswer: 0.0000000009439498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1659201 divided by 3.\nAnswer: 553067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.677 minus 7628694591?\nAnswer: -7628694594.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142802.04 - -142802. Let k = -2.4 + 2. Let m = 0.2 - 0.2. Which is the fourth smallest value? (a) m (b) i (c) -2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 343*y. Let o(w) = 18*w. What is -3*f(i) + 56*o(i)?\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f**3 - 56*f**3 + 5*f**3.\nAnswer: -89*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3350 - -3350.11015. Let u = h + -0.11. Round u to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3262 is divided by 62?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -11063 less than or equal to -11064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6791 by -7766.\nAnswer: 6791\/7766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1467 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1035 - 676. What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 59.1. Sort z, 4, -31.\nAnswer: -31, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110 - -1001111010111?\nAnswer: 1001101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/792 and -37\/990.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 3*k**2 + 4*k + 3. Let d be y(4). Let w be 1*d\/(-15)*2. Let n = w - -9\/10. Is 2 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x + 2. Let t(c) = -440*c + 99. Let u(d) = -2*t(d) + 99*y(d). Let i(n) be the third derivative of n**5\/15 + n**2 - 282. Calculate u(i(w)).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -321.4, 5.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 4. Let y = 705941 - 705630. Calculate the remainder when y is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 4*z - 3 + z**2 - 2*z. Let v be n(-6). Is 6 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350521*c**3 - 175282*c**3 - 175253*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.6 - -22. Do a and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 0*n**2 - 4*n**2 + (-1 + 3 - 6)*(0*n**2 - 3*n**2 + n**2).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 234, 244, 254?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91710649 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80 or -919?\nAnswer: -919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10497675 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75792962183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/24*(-1624)\/203*4\/(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1216) + ((sqrt(1216) - (sqrt(1216) + 0)*3) + sqrt(1216) + sqrt(1216))**2 + (-3*(sqrt(1216) + 1))**2)*-5.\nAnswer: -109530 - 1520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 46*k - 250. What is j(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 914, 791, 672, 557?\n\"Answer: 2*d**2 - 129*d + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.72076624 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 29*o - 21. What is i(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-3) + 0 + -1199999. What is a rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 646 and 5989180?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 143117432?\nAnswer: 143117426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/15*90\/930?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 5*c + 3. Let n(x) = 3*x**2 - 11*x - 5. Give 3*n(z) + 5*w(z).\nAnswer: -z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourteeen ninths of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. What is the third derivative of 3*w**4 + w**2 + 0*w**2 + w**2 + 2*w**m wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-20\/7)\/i**33)\/(i**(4\/9)*i*i**37\/i) assuming i is positive.\nAnswer: i**(-4618\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 907291427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 + 3960*t**3 - 1078052*t**2 + 47103264*t + 48185280 = 0. What is t?\nAnswer: -1, 55, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 1. Determine k(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 2*m. Let x be r(-6). Let o be x + 2 + -4 + 0. Suppose -3*t + o + 2 = 3*b, -29 = -3*t - 4*b. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -447 + -23?\nAnswer: -46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*h - 8 + 1, 0 = 3*l - h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q. Let k(x) = 131*x + 1. Give p(k(l)).\nAnswer: -262*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68159196*d - 136716635.\nAnswer: 68159196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130923385*p**4 - 528*p**2 - 19880*p + 1 wrt p?\nAnswer: 3142161240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/(p**(-2\/3)\/p))**23 assuming p is positive.\nAnswer: p**(115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (25790\/(-15474))\/(1\/(-9)*-1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 39277785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 842\/258 + -4 + 0 - (-10)\/15. Is g at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 + (-226)\/(-1122). Let k = m - 1\/51. Let v be 944\/1593*(-2 + (-11)\/(-4))*9. Which is the closest to -2? (a) v (b) 1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -1001030202?\nAnswer: -1001030130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*p - 64, -2*h = -4*p + 802 - 828. Calculate the greatest common divisor of 162 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = 2*m + 3*i, 0 = -3*i. Let r be (m\/(-1) + -5)*(-16)\/6. Solve r = -5*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 + -69. Suppose -y = -3*v - t - 0*t, -3*t = 0. Let x = v - 8. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -115 - 5. Let z = j + -16. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgcbgcgcgccgcccgc. What is prob of picking 1 g and 2 c?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 13*w**6\/180 - w**3\/3 + 6*w**2. Let x(r) be the first derivative of p(r). Let l(b) = -2*b**2. Determine x(l(k)).\nAnswer: 104*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -6. Put -1, 2, b in decreasing order.\nAnswer: 2, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240801295 by 48160259.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 7 - 7)*(-t**2 + 5*t**2 - 3*t**2)*(-t + 0 + 0)*(1 + 2 - 1).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**7\/7 - 8*r**3\/3 + 8. What is the third derivative of a(t) wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1459960 and 93\/136?\nAnswer: 1459960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.00769, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 260, -182, 0 in descending order.\nAnswer: 260, 0, -3, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170165\/72 - 2363. Calculate the common denominator of u and -74\/729.\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5605)\/649)\/95*-7\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -g - 4*l, 0*g + l = 3*g + 25. Let b be 8\/(-10)*g\/4. Calculate the highest common divisor of 22 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 430934522?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1576521145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y + 5*j + 461, 0 = -y - 2*j + 482. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/8 + 12*s**2 - 6. Let k(t) = -21*t. Calculate k(i(j)).\nAnswer: -63*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.148 + -0.548. Which is the second smallest value? (a) 0.2 (b) u (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 265.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 - 2*d**2 + d**2 + (3*d - d - d)*(2*d + d - 4*d) + 3*d**2 - 5*d**2 + 0*d**2 in the form f*d + q*d**2 + l and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 56 = -2*i, -7*s + 6*s = -5*i - 2*s + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 35*a**2 - 85*a - 356. Let o be w(32). What is the second biggest value in 2, 3, 524, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 11) to base 6\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*m**5 + 3*m**4 - 101*m**2?\nAnswer: 840*m**2 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20560 - -31900. Is 30 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, -3, -4.\nAnswer: -4, -3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*v**2 - 20*v + 20*v.\nAnswer: -196*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, -1\/7, 58.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 21. Let j be ((-171)\/(-95))\/(x\/20). Sort j, 0, 2, -5 in decreasing order.\nAnswer: 2, 0, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 e when three letters picked without replacement from eeeaeaeeeee.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 + 5*h**2 - 266 - 5*h**2 - 276 + 542 - 3*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 7. What is the tens digit of (4 - (-5 - -4))*h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 42 - 2*u**2 - 2*u + u**2 as z*u**2 + g + a*u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 15. Let l be h(7). Let b be (-1)\/(-2)*196\/l. Solve 9*s**2 + b*s**5 + 109\/4*s**3 + 0 + s + 63\/2*s**4 = 0 for s.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**6\/60 - 13*m**5\/20 - 35*m**4\/8 + 73*m**3\/3 - 40*m**2 + 37*m. Suppose c(f) = 0. What is f?\nAnswer: -20, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 43*v**3 - v**3 - 90*v**3 - 73*v**3 + 0 - 108*v**3.\nAnswer: -315*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**4\/4 - 5*w**3\/3 + w**2 - 12*w + 4. Suppose i - 6*i = -55. What is the smallest common multiple of a(-6) and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72\/41 - 298\/123. Let a = 26.5 + 0.5. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Let q = b - -2. Find the third derivative of -5*s**2 + s**5 + 0*s**2 + 4*s**q + 6*s**2 wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*j - j - 10200001 = 0, s + 3400001 = -j. What is s rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 - 3*n**2 + 2 + 9*n**4 - n**4 to the form d + q*n**2 + g*n + k*n**3 + p*n**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 167*s - 3705. Calculate x(-74).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 793 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 5. Let v = -40 - -161\/4. What is the smallest value in o, v, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 53382?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136\/11 + -430\/33. Which is the nearest to -1? (a) v (b) 5 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 38*y - 9 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.429 - -22.73. Let i = a - -0.009. Let y = 1.3125 - i. Round y to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15628 is divided by 973.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*k + 3*m, 2*k - 4*m + 9 = 13. Solve 2*w - 16 = k*p, 0 = 4*w + 5*p + 24 - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -910*f**3\/3 + 3*f**2\/2 - 38*f. Let u be k(-3). Suppose -2*q + u = 1421. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.9 + -19. Let g = 0.3 + f. Does g = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200)*-3 - sqrt(2200)) + -2*sqrt(198))\/((sqrt(1375) - 2*sqrt(1375))\/(sqrt(80) + sqrt(80)*-2 + sqrt(80) - sqrt(80))).\nAnswer: -184*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)*u)**8)**44 assuming u is positive.\nAnswer: u**(1408\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*x + 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/3*40584\/2492.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1725*n - 22515 = 1706*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26633, 53279, 79933, 106589, 133241, 159883, 186509, 213113?\n\"Answer: -x**3 + 10*x**2 + 26623*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69 - 5?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16598544 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -454.2 + 463.4722. Round i to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w + 27. Let s = -10 - w. Let a(q) be the third derivative of q**5\/12 - q**3\/6 + 8*q**2. What is a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 2421003324?\nAnswer: 2421003314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d + 151. Let t be z(-30). Let o(s) = 24*s. Let l(f) = f. What is t*o(y) - 36*l(y)?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 803\/55 + -1 + -1 + (-27)\/45.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -107.\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 102*z + 127. Give b(-75).\nAnswer: 2152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 441\/2? (a) 2\/3 (b) -0.2 (c) -3\/5 (d) 3 (e) -959\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.165 + -0.835. Suppose 3*v = -0*v + 15. Sort 0.4, v, u, -2.\nAnswer: -2, u, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8*a - 5*u - 60, -5*a + 2*u + 92 = 0. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:28 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580121?\nAnswer: 47, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 1:24 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:41 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s - 2*s + s**2 - 1 + 6 - 2 + 5*s. Let w(z) = 3*z**2 - 14*z + 7. Let o(j) = -7*c(j) + 3*w(j). Let t(i) = -2*i**2. Determine o(t(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 9) to base 14.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-8 - 3)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5, -286 in decreasing order.\nAnswer: -2, -4, -5, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*v + 3 = -125, 5*d = v + 146. Suppose 2*q = -1041 - 1799. Calculate the remainder when q\/(-12) + (-2)\/6 is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(1910\/6)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1368 and 6308.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 21*o**2 + 25*o - 506. Let v be m(-16). Is v < 380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15084 + 2494. What is n rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 2*i - 26*i**2 - i**2 + 5*i.\nAnswer: -27*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*x + 2*b - 256, 3967*b = 2*x + 3971*b - 28 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.55363 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9974924 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let i = 1.71 - 10.47. Let x = i + 4.76. Which is the closest to 0.2? (a) x (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by -2?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2.3, -2664, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 24. Suppose 0 = 5*j - l - 10, n = j + 4*l - 11. Suppose -45 = -j*d + 2*d. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -2*v - 2*u - 3, -3*v = -2*u + 99. Let m = v + 63. Calculate the remainder when 126 is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88))\/(sqrt(2) + -2*sqrt(32)).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, -2274, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(24)\/((sqrt(168)\/sqrt(3))\/sqrt(7)) + (sqrt(75)*-1 - sqrt(75)) + -1 + sqrt(75)*2*6)**2.\nAnswer: -612*sqrt(3) + 7839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057993 rounded to six decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 + 2*g + 57 - 2450 - 3203.\nAnswer: 2*g - 5418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 197420 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 110212, 220426, 330640, 440854, 551068, 661282?\n\"Answer: 110214*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (5 + 1*(-5 + sqrt(252) + -5 + sqrt(252) + (sqrt(252) - sqrt(252)*-1)))**2.\nAnswer: -240*sqrt(7) + 4059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 84.1, -0.1, -35, -1\/4, -0.4 in decreasing order.\nAnswer: 84.1, -0.1, -1\/4, -0.4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.4 - -14. Put 1.5, -5, y in decreasing order.\nAnswer: 1.5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4389\/798)\/((-33)\/60)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-129)\/(-15) - 6\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9242087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 2)*(-6 - 1 - 2 - 1 + 0 + 0 + (0 - 2 + 1)*(0 + 0 + 1) - 3 + 1 + 3)*(-3 + 2 + 0)*(-4 + 4 + u).\nAnswer: 90*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 19 - 29) + 1 + 7. Solve -2*q - 2 = v, 2*v + 10 = -q + a*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -857*y + 2. Let k be g(-3). Suppose -3*o = -4*x + 10216, -3*o + k = x + o. Let h = x + 1930. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -132, 0.5, -0.068?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*z + 239665 = -58*z + 37695. What are the prime factors of z?\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286499758?\nAnswer: 2, 29, 761, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 13141 = j, 10*v + 9852 = 7*v + 3*j. Let k = -2310 - v. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 51622, 103372, 155122?\n\"Answer: 51750*o - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.043977.\nAnswer: 0.456023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/16, -3\/7, -0.4, -12 in descending order.\nAnswer: -1\/16, -0.1, -0.4, -3\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*z - 0*x + 11, -2*z = -4*x + 16. Solve 0 = 5*b + 5*k - 15, -b + 0 = z*k - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = 0. Suppose f = -z + 2. Let u be 3*f*(-14)\/(-21). Let q(t) = -t**3 + 4*t**2 + 4*t - 5. Determine q(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-5 - -1) + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21898185 divided by 3.\nAnswer: 7299395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49af6 + 1?\nAnswer: -49af5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let j(n) = 27*n**2 + 15*n - 15. Let k(f) = -4*f**2 - 2*f + 2. Let s be (-3)\/((-15)\/20) - 34. Let x(o) = s*k(o) - 4*j(o). What is l(x(z))?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 - 411312322?\nAnswer: -411312434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311403 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((55\/10)\/(-11)). Find the third derivative of -11*x**5 - 1969*x**w - 38*x**2 + 1969*x**4 wrt x.\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 570.6 + -570.3. Which is the closest to 0? (a) d (b) -44.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(405) + -1)*3 - sqrt(405))*-3 + 3 + 1 + (sqrt(405) - (sqrt(405) + sqrt(405)*-1)))**2.\nAnswer: -720*sqrt(5) + 10189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: What is the second derivative of -5378539*x**5 + 1508*x - 578?\nAnswer: -107570780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(242) + sqrt(242)*-4) - (sqrt(242) - (6*sqrt(242)*-2)**2 - sqrt(242))).\nAnswer: -104544 + 495*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 22920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y - 2. Let v(n) = 4304*n**2 + 27*n - 6. Determine -3*g(d) + v(d).\nAnswer: 4304*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206 - -345. Find the third derivative of d + 7*a**2 - 139 - 3*a**3 wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 34*c - 34. Let g be l(16). Put 3, -23, g in ascending order.\nAnswer: -23, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/186*32366\/32. Let l = d - -1\/372. What is the common denominator of l and -5 + 4 + (-1048)\/(-144)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 29. Suppose 6 = s*n, 0 = -2*q + 2*n - 5 + 1. Solve -3*c = c + 4*b + 28, 2*c - b + 5 = q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + (-2*((-1*sqrt(700))**2 - sqrt(700)) - sqrt(700)) - (sqrt(77)*-2)\/sqrt(11)*-4.\nAnswer: -1400 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -73. Suppose f - 3*i + 7 = n, i + 4 = 5*f - i. Suppose -2*u + 4*b + 201 = -229, -2*u + 438 = -f*b. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 - 4*p - 4. Let j be z(-1). Suppose -j*d = -2*y, -2*d + d + 6 = y. Suppose -4*r - c + 1923 = 0, 2*r - 4*r + 958 = y*c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-28)*w*w\/(w*w*(w*w**(-17)*w*w)\/w)*w*(w**23\/w)\/((w*w*w*w*w**(-12)*w)\/w) assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -11*u + 65. Let w(h) = -1 + 64 + h + h - u*h. What is the units digit of w(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9998300 to the nearest integer?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6. Let k = h + 4. Sort k, 3\/2, -0.2.\nAnswer: -0.2, 3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23 - 3*2\/(-6). Suppose 20 = -4*t + l, 6*t - 2*t + q = 2*l. Let y be 7 + t + (3 - 6). Solve y*v = v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 74. Let y be -1 + (p - -4 - 4). Put 5, 4, 9, y in decreasing order.\nAnswer: 9, 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 32*l**2 - 43*l + 232. Let w be b(5). Calculate the greatest common factor of w and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 5 (c) -1\/6 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -722136\/5 + 144428. Let u be -7*(-2 - (-12)\/7). What is y in -j*y - 4\/5*y**u + 48\/5 = 0?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 157*v - 2. Let h be r(2). Suppose t - 5*z = 177, 0 = -3*t + t - 4*z + h. Let d = t + 16. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 10 = 7*l - 3*k, -22 = 4*l + 3*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-17)*c*c)\/c*c*c)**(-7) assuming c is positive.\nAnswer: c**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*g**2 + 67 - 67 + 277*g**2.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Suppose 0 = -h*n + n + 6. Calculate the remainder when (-1 - (-14)\/n)*-6 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -407*v - 1858 - 2478 - 4039 + 1049 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136557725, -273115446, -409673165, -546230882, -682788597, -819346310, -955904021?\nAnswer: -1092461730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11599 - -1461571\/126. Calculate the common denominator of x and -173\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 16*z + 2. Let c(w) = -42*w**2. Calculate f(c(o)).\nAnswer: -672*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.238037 rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2736, -5505, -8274, -11043?\nAnswer: -13812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.051 + -5.621. Let r = -4 - w. Let q = 1.7 - r. What is q rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5 + 2889*g**4 + 2994*g**3 - 98496*g**2 + 161952*g = 0.\nAnswer: -7, 0, 2, 4, 964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3 = -25. Suppose -2*a - d = k + 3*a, -2*k + 20 = -4*a. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 + 4100*j**2 + 487168*j + 483072 = 0. What is j?\nAnswer: -888, -136, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 + 1138*t\/5 - 84656\/5.\nAnswer: -2*(t - 481)*(t - 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/6)\/1)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3141 = 17*u + 89. Let t = -189 - u. Solve t = 2*l - l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 + 1312*w**2\/9 + 10592*w\/9 + 21248\/9.\nAnswer: -2*(w - 664)*(w + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*q = -3*f + 52, 0 = 4*q - 16. Let b = f - 15. Let u be 0\/(-47)*(-2)\/8. What is the nearest to b in -4\/3, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -4014014.\nAnswer: -802802.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 5 + sqrt(11) + sqrt(44)\/(2*sqrt(4) - sqrt(4)) + ((sqrt(99) + -2*sqrt(99) + sqrt(99) - sqrt(99)) + sqrt(11))**2 + 1.\nAnswer: 7*sqrt(11) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/32 in -4, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(21\/(-6) + 4). Let b = 19 + q. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 439, 732, 1025?\n\"Answer: 293*d + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let r(t) = 8*t. Let f(q) = r(q) + 6*y(q). Let v(b) = b**2. Determine v(f(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -770099*l + 818800 wrt l?\nAnswer: -770099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101332 + 101332.046357. What is l rounded to three dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 9594?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let l be h(5). Let j = 18 - 10. Let m = j - l. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 57. Let c = 18251 - 18249. What is the smallest value in k, -0.3, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n + 12. Let g(k) = -22*k**2 + 8*k - 31. Let a(w) = -51*w**2 + 17*w - 68. Let d(l) = -3*a(l) + 7*g(l). Calculate 2*d(j) + 3*s(j).\nAnswer: j**2 - 2*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a + 6640 - 12053 = -6583 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13571 - 13566. Put x, 0.3, 18, -2, 0.1 in descending order.\nAnswer: 18, x, 0.3, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34128770 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.72 + -0.08. Let l = 1.8 + k. Which is the second biggest value? (a) 0.3 (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -27823*p + 6121067. Calculate z(220).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -4*d**7\/35 - 10*d**3\/3 - 13*d**2. Differentiate l(x) wrt x.\nAnswer: -96*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2 + 1 - 1 + (2 - 2 - 1)*(3 - 2*b - 3) + b - 2*b + 3*b + 5*b - 4*b + b)*(-4 - 2 + 2).\nAnswer: -20*b + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c - 2. Let s(p) = p**3 - 8*p**2 + p + 7. Let z be s(8). What is the lowest common multiple of 224\/10 - 6\/z and d(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**3 - 16*f**2 - 27*f - 1. Let t be -3 - (0 + (-2 - -3)). Let y(u) = 6*u**3 + 8*u**2 + 14*u. Let a(g) = t*l(g) - 7*y(g). Solve a(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 219916910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1\/2 - 21\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2365243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42.261 - 41. Let q = 278 - 279.18. Let w = q + v. What is w rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27114378 to the nearest integer?\nAnswer: 5207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 95, 160, 237, 326, 427?\n\"Answer: 6*i**2 + 35*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1167 - 257?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -447*f**4 - 65*f wrt f?\nAnswer: -5364*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12555826863.99999462 + -12555826572. Let y = f - 292. Round y to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k + 69. Suppose -4*s + 3*c + 157 = 0, 4*c = 2*s - 0*c - k. Suppose 0 = -h - s + 133. Calculate the greatest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 10*r + 17455. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64106460 - -5?\nAnswer: 64106465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (93\/(-155))\/((-6)\/3 - -1). Let a = 15 - 9.8. Let q = 0.2 - a. Sort -0.3, p, q in ascending order.\nAnswer: q, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40571.67 centuries in months?\nAnswer: 48686004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.0021 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2, 4\/7, 0.1, -1 in increasing order.\nAnswer: -31, -2, -1, 0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 18, t: 2}. What is prob of picking 1 t and 1 n?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35)\/((-2)\/(0 - 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -565*q**5 - 3*q**3 + q**2 + 834?\nAnswer: -33900*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and -0.9?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2224957 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -51496 (base 14) to base 10\nAnswer: -195740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 25 + 1 = 2*p, -5*p = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 456904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 5*j**2 + 11*j - 6. Let q(h) = h**2 - 2*h. Let w(k) = p(k) + 3*q(k). Calculate w(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u**(-1\/2)\/u*(u*u**(2\/5))**19)\/(u*u*u**(2\/5)*u*u*u*u**1)**(2\/173) assuming u is positive.\nAnswer: u**(6583\/346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/(((-34)\/(-765))\/(20\/30))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9420 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5641074 and 0.2?\nAnswer: 1128214.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092782 rounded to 3 decimal places?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -8. Which is the closest to 1? (a) -10 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q**2 - 5777 + 5777 - 25*q**2 - 30*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(19) + 0 + 2)*5)**2.\nAnswer: 100*sqrt(19) + 572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4*u + 5*u)*(3*u - 10 + 10) + 1154 - 497*u**2 - 1154 + 153*u**2.\nAnswer: -347*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:01 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2)*1)\/(-2*sqrt(8)*2).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*h + 52 = 0, -v - h + 26 = v. Solve 4*q - 2 = -3*l + v, -2*q = -5*l + 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69084473 rounded to the nearest one hundred thousand?\nAnswer: 69100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, m: 2, c: 6}. What is prob of sequence cs?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:29 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.285, 4, 0.16?\nAnswer: -0.285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*y = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5730116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/(-56))\/(19\/(-228)*-192 - 442\/28).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/60 + 3163*l**4\/24 + 134*l**3 + l**2 + 4*l - 581. Differentiate k(z) wrt z.\nAnswer: 2*z + 3163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*d + 94*d - 488*d + 99*d + 87*d + 118*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*j**2 + 10*j**2 + 65*j + 12*j**2.\nAnswer: 5*j*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(0*x**2 + 4*x**2 - x**2) + 430256 + 1441*x**2 - 265*x**2 - 430256 to the form h*x**2 + n*x + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 3293?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/24 + 70\/(-30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58\/7 + ((-8)\/28 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/2)\/((-4)\/2). Let n = -1 + j. List the prime factors of ((-10)\/4 - n)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5848835 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54335 is divided by 307.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1)*8\/8. What is the derivative of -5*p**3 + 5*p**2 - 42 + p**l - 6*p**2 wrt p?\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -236 + 441. Solve -201 + t = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12 + -9*9\/(-12). Solve k = 3*a - t, -a + 40 = 4*k + 4*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4896166.\nAnswer: -9792332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447 + 479. What is the tens digit of (48\/q)\/((-6)\/(-3292))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15444 is divided by 7662?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5899?\nAnswer: 58990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 31*b**2 - 57*b + 277. What is a(33)?\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, 5, 2\/5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 19 + 2*w - 2*w + (-4*w + 4*w - w)*(-5 + 4 - 5) + 5 - 2*w - 5.\nAnswer: 6*w + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-827 - (2 + 2\/2)) + 1. Let g be (-7868)\/(-5) + 2\/5. Let n = g + c. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*b + 171*b - 34*o = -44*b + 278, 3*b = o + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55859 at least as big as 57872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000159 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from pwpwpppwwpwpp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 - 14*d - 6. Let i be p(-4). Let f be 0 + 17\/(-7) + 3. Determine t so that 10\/7*t**3 + 2*t - f - 18\/7*t**i - 2\/7*t**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7)\/(z*z\/(z\/(z\/(z*((z*z*z**(-2\/7)\/z)\/z)\/z*z))*z))*(z*z*z**(-5)*z)**15)**(-2\/17) assuming z is positive.\nAnswer: z**(418\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(5\/4))\/((h*h\/(h\/(h*h*h**(-2\/47))))\/h) assuming h is positive.\nAnswer: h**(55\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -5 (c) 2\/17 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2. Let g be p(8). Let y(z) = -z - 9. Let x be y(-5). Which is the nearest to -2\/5? (a) x (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -42c146?\nAnswer: -42c14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.642 + 0.642. Let d be (-8)\/6*(-24)\/(-16). Sort 7, d, m in descending order.\nAnswer: 7, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4967910 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 19. Let a be q(5). Find the common denominator of ((-6)\/(-5))\/((-54)\/20) and ((-1)\/a)\/(0 + 12\/(-16)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 23*t**7\/42 - 35*t**4\/12 - 21*t. Find the third derivative of f(y) wrt y.\nAnswer: 1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 16) in base 10?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52974, -105951, -158928?\nAnswer: -211905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1023 + 3.1. What is b rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 2911.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let u be ((-5)\/(-20))\/(t\/395672). Suppose u = 5*h + 7959. Round h to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/18944746 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*3)\/((-7)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + w**2 + 2*w + 3. Determine q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 5, t: 1, b: 3}. Give prob of picking 1 w and 3 o.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 4:11 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 10, 55, -0.39, 0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2024 and 12.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136139891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719*d + 748*d - 1363 = 0. What is the remainder when 2114 is divided by d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 5\/2 (c) 0.8 (d) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 - -192. Let k be 8*(-3)\/(-6) + (-15)\/f. Let y = 35 + -32. Which is the third biggest value? (a) y (b) -1 (c) k (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 397*b**3*i*r - 2*b**3 + 163*b**2*r - 2*b*i**2*r wrt i.\nAnswer: 397*b**3*r - 4*b*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15335 - 1?\nAnswer: -15340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 2110442?\nAnswer: 2110432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and 4226.\nAnswer: -101424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.41, 4, 0.4, 3, 6\/5, 2\/3, 2 in decreasing order.\nAnswer: 4, 3.41, 3, 2, 6\/5, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 6*j**2 - j + 6. Let l be 17\/51 - 34\/(-6). Determine w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 + 2*t - 1. Let s(l) = -3*l**2 + 1. Let v be s(1). Let a be c(v). Solve -2*h = -o + 5, -3*o + 4*o = -a*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -151?\nAnswer: 3\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -1627, -4146, -8235, -14218, -22419?\nAnswer: -33162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 10. Suppose 4*s - 20 = -4*x, -4*x - 15 = -5*x - 3*s. Let b(p) = -p**2 + 4. Let d be b(3). Put d, w, x in increasing order.\nAnswer: d, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpe when three letters picked without replacement from izerpzr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**23*g**(-8)*g)\/(g*(g\/((g\/(g*g**(-3)))\/g))\/g)**(3\/28) assuming g is positive.\nAnswer: g**(-809\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159999 and 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6451, 63.\nAnswer: -6451, -4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182\/(-1911)*231*2\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by 5.\nAnswer: 141\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p\/(p*p**(1\/2)))\/((p**(-4)*p*p)\/p**(-3))*((p\/((p*p**4)\/p))\/(p\/p**(1\/4)))**(-2) assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:57 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 - k - 5086. Let n(x) = -2*x**3 - 4. Calculate 10*b(i) - 3*n(i).\nAnswer: -4*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 4*t + 168.\nAnswer: -4*(t - 6)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(2 + 1 + -3 + 2*sqrt(68) + -2)*4)**2.\nAnswer: -423936 + 24576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(((-12)\/(-1563))\/(-2)). Let r = 5227 + h. What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - b**2. Let z(c) = 6*c**3 - 2*c**2 - c - 3. Let h(k) = k**3 - 15*k**2 + 152*k - 1935. Let j be h(14). What is j*v(x) + z(x)?\nAnswer: 9*x**3 + x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1741\/(-16)*-26 + (-43)\/2064*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 10:57 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -20760 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 66?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c + 16 = 0. Let w(h) = -7*h + 4. Let u(g) = -11*g + 6. Suppose 0 = 3*l + 1 + 2. Let q(z) = 3*z - 2. Let t be q(l). Determine c*w(b) + t*u(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*r - 56*r - 990. Let n(v) = 3*v**2 - 5*v + 4. What is the least common multiple of n(5) and r?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + (-2*sqrt(128)*2 - sqrt(128)) - -1*sqrt(128)*-1)*3)\/((1*sqrt(640))\/(sqrt(490)*1)).\nAnswer: -105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 20*m + 6 = 3*k, -31 = -2*m - 5*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1212 and 472.\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) + 65\/15. Suppose -20 = 5*o - u. Let t be 0\/(-1) + (o - -31). What is the greatest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2302494, 2302566, 2302638, 2302710, 2302782?\n\"Answer: 72*z + 2302422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from {q: 8, t: 1, y: 3, j: 3, a: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5601.34755*-0.1.\nAnswer: 560.134755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2807 is divided by ((-12)\/(-7))\/(-6 + (-1397)\/(-231))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93879 - -93883. Let n be (-1)\/11*(2 - 1). What is the second smallest value in 3, -4, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193063\/5544 + -1935\/56. Let f = k - 2\/99. Let g = 1\/1882 - -2821\/3764. What is the nearest to 1 in 5, f, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x. Suppose -5*i + 50 = 3*f - 8*f, -4*i + 2*f + 50 = x. Suppose 3*r - 3*m - i = 0, 5*m - 11 = 3*r - 30. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004411343469 rounded to five dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.103 + -2.04264. What is x rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1435647169 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4*3)\/(4\/484). Suppose -1246 = -3*x - l + 950, -x + 2*l = -739. Let s = r - x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 3*z + 12. Determine b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61283507362.67 + -4.\nAnswer: 61283507358.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (312\/(-144))\/(2\/72*6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28475 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 180, 177, 174, 171, 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -416927 (base 12) in base 10?\nAnswer: -1027759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50408, 54906, 62402, 72896, 86388, 102878, 122366?\n\"Answer: 1499*i**2 + i + 48908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {k: 1, u: 4, n: 1, c: 8, v: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -59\/7?\nAnswer: -59\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 2, i: 3, y: 13}. Give prob of sequence yibb.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2180183 to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -1\/96*u**4 - 1\/240*u**5 + 0*u + 1\/12*u**3 + 6*u**2 + 0. Find j such that c(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2807.\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*o - 21*o + 24. Suppose -448 = -o*k - k. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 261, 427, 613, 813, 1021?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 3*s + 5*s)*(-3*s**2 - s**2 + 5*s**2) + 12*s**3 + 20*s**3 - 3*s**3 + (2*s**3 - 3*s**3 - s**3)*(4 - 1 - 2) + 7*s**3 + 2 - 2.\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*-2*2\/(-8). Let f be ((-9)\/(-10) + 32\/(-80))\/((-15)\/6). What is the closest to h in f, 1, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8477 take away -0.4?\nAnswer: 2.2477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*d*l - 3853*b*d + 13*b + 15889533*d*l**2 + 4*d + 3 wrt l.\nAnswer: 2*b*d + 31779066*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -16.98. Let l = -2.97 - -3.37. Which is the third biggest value? (a) -6 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 1256?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 6) + -1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/2 + 687827*c + 1375655\/2 = 0. What is c?\nAnswer: -1, 1375655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + 45. Suppose p = 2*t - 5*u, -2*u = t + 2*u - 70. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*n - 10, 3*k = -3*n - n - 4. Let r(i) = n*i**2 + 4*i**2 + 6*i**2 - 13*i**2. Let v(z) = -z + z - z**2. Determine r(v(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 3*h + 16, 8*p - 3*p + 3*h = 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -352.0855 * 15\nAnswer: -5281.2825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 6*t - 5. Let b be d(-4). Suppose -5*k = -b - 2. Calculate the common denominator of (1\/(-12))\/(k\/(-22)) and 7\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 22*t**2 - 3*t**2.\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10209.11 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*v = -t, 0 = -3*t - 3*v. Let o = 17 - 5. Factor 8*u + 4*u**3 + 2*u**4 + 4*u**3 + t + o*u**2 + 2.\nAnswer: 2*(u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*w - 30. Solve -4*x + 8 = 0, 3*x + w = -2*y + 8*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -87*t**3 + 43*t**2 + 67*t - 9. What is the hundreds digit of q(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54959550 by 6.\nAnswer: -9159925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + 2*y**2 + 5*y + 1. Let q be z(-1). Let r(p) = -71*p**3 + 3*p**2 - 2. Calculate r(q).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-20))\/((-2)\/7180). Are u and -1435 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:43 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -243 + 131. Let p be (-64)\/w + (-45)\/(-7). Solve q - 5 = 2*j, 5*j + p + 2 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 91. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 2*p - 11. Let a be w(5). Suppose -244*t - 43*t + 574 = 0. Solve 0 = 2*q + a*k - 16, q - t*k + 7 = -1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5440 is divided by 510.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69a + 4?\nAnswer: 6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3 - 3 = -2*i, -5*i - 35 = 54*b - 59*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*d**6 - 104*b*d**4 - b - 5*d**2 wrt d.\nAnswer: 120*b*d**3 - 2496*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.073? (a) 0 (b) -4 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 496080300 and 45300?\nAnswer: 496080300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31228*t = 31247*t - 171 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -944 divided by -179\nAnswer: 944\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 1, y: 3, b: 3, i: 1}. Give prob of picking 1 a and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304723 is divided by 60941?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {h: 4, r: 3, m: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169240468.\nAnswer: 2, 42310117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24174*j + 24160*j = 140 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 4*l + 70, -3*b - l + 42 = -4*l. Let t = -155 - -160. What is the remainder when b is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**3 - 1940*y**2 + 27748*y - 97804 = 0.\nAnswer: -499, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i**2 - 2*i - 1. Let t(l) = l - 7. Let a be t(5). Is j(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 310000032311?\nAnswer: -310000032310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 10:07 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8969\/856 - -11\/107. Let f = -114\/7 - -925\/28. Find the common denominator of t and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (8 - (2 - 2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 68 = 3*t, 2*t + 2*b + 48 = -0*t. Let k be ((-30)\/(-104))\/(t\/92). Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67432 + -67431.770022. Let n = -44 - -43.77. Let x = j + n. What is x rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 1319*h**2 + 9276*h + 7956.\nAnswer: -(h - 1326)*(h + 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1444*z = -1428*z + 144. Let p(t) = t**3 + 9*t**2 - t + 4. Calculate p(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -43\/2. Let u(g) be the second derivative of 1\/6*g**3 + 0 + 2*g - j*g**2. What is the derivative of u(b) wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 53468*u**2 - 320826*u + 481248.\nAnswer: 2*(u - 3)**2*(u + 80208)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 472 (b) -0.05 (c) 0.012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2)\/(y**(-2\/9)*y*y) assuming y is positive.\nAnswer: y**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4 - 14*n + 2 - 69*n - 74*n - 5. Let p(x) = x**2. Calculate v(p(b)).\nAnswer: -157*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -16*p**2 + 16*p - 4. Let k(o) = 9*o + 4 + 9*o + 19*o**2 - 35*o. Let s(f) = 6*h(f) + 4*k(f). Solve s(g) = 0 for g.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 9:05 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10260, 20532, 30820, 41130, 51468, 61840, 72252?\n\"Answer: j**3 + 2*j**2 + 10259*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*j + 3*v, -3*v + 256 - 260 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134343720 and 4193?\nAnswer: 4193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35822136745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13099473 smaller than -13099472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182.49 + -178.49. Suppose 5*h + 4*p + 48 = 0, 4*h - 3*p + 34 = -h. Which is the closest to h? (a) 0.2 (b) -3\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 3. Let q be x(-2). What is the tens digit of 8\/(-4) - (-32 + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129264 = 71*w - 136276. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76757*n**2 - 56*n - 73460444?\nAnswer: 153514*n - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26ca3 - -4d?\nAnswer: 26d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/17)*a*a**(-2\/41)*(a**(-10\/9))**14 assuming a is positive.\nAnswer: a**(-90137\/6273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000016038 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 239*m + 316. Let u(c) = 8*c - 1. Let z(x) = -o(x) - 5*u(x). Is z(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4\/5 + 26*y**3\/5 + 14*y**2 - 98*y\/5 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/7 equal to -954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + 0.3. Let l = -1271\/1221 + 288\/407. Which is the smallest value? (a) -5 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.8890536 - 0.84.\nAnswer: -62.7290536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2630, 2636, 2654, 2690, 2750?\nAnswer: 2840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -0.02738902.\nAnswer: -0.52738902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxux when four letters picked without replacement from {u: 7, x: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 10:39 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5583728 divided by -1.\nAnswer: 5583728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 905926 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 4*f**2 - 3*f**2. Let g(w) = -2*w. Let s(h) = -h. Let o(x) = 4*g(x) - 7*s(x). Give c(o(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68, 83, 116, 173, 260?\n\"Answer: c**3 + 3*c**2 - c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231 + -11224?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1210*v + 68995. What is a(-57)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 11) in base 4?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h + x + 325 = 0, 2*h - x = 165. Suppose -3*g = -h + 17. Suppose 4*y - 31 = g. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 3*d - 7. Let y be z(5). Suppose -2*r - y*a = -6*r + 61, 15 = -5*a. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 1 - 6*x**2 + 14*x**2 - 2*x**2 + x. Let r be p(-1). List the prime factors of 162 + -2 + r + -4.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7 = w, 3*w + 0 + 11 = x. Let d = 4.6982 - -0.3018. What is the second biggest value in w, -11, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3083163*m + 2742697 wrt m?\nAnswer: -3083163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/13 + 3920*y**2\/13 + 1920800*y\/13.\nAnswer: 2*y*(y + 980)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 691\/3 (b) -3479 (c) 3 (d) 5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e470d - 5?\nAnswer: -3e4712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/145 - -46\/29. Let i be (11\/22)\/(2\/8). Determine y, given that g*y + 2\/5*y**i + 8\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-426)\/(-7242))\/((-218)\/(-68))).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150606729206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 5*p - 17, 380*r - 376*r + 36 = -4*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/(-7) + (6\/(-70))\/(1\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 437442 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g = 0. Suppose 4*k - 8 + 4 = g. What is the first derivative of k - 3 + 2*f**3 - 5*f**3 wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - 45) + (61 + -64 - (0 - 6))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(637) + 0)**2.\nAnswer: 28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 730914385 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -4. Let n = 2 - 2.2. Let o = n - 0.1. Put f, 4, o in descending order.\nAnswer: 4, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let q = -26.99 - -27.39. Let y = -3 + 1. Which is the second smallest value? (a) s (b) q (c) y (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a decade in months?\nAnswer: 2088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 190 = -v - 195, 0 = 4*v - 3*i + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2155)\/(-16809)*(0 + 36\/10) - 0. Let p be (-2 - 14\/(-6)) + 21\/(-117). Factor -y - p*g**2 + 10\/13*g - 2\/13*g**3.\nAnswer: -2*(g - 1)**2*(g + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -117.8 and -4?\nAnswer: 113.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -234\/1687499?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-4*h + 5*h + 0*h)*(-4*h**2 + 0*h**2 - 2*h**2)*(-h**2 + 4*h - 4*h).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/7, -0.9, -10.\nAnswer: -10, -0.9, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 42459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/4 + (-8)\/16. Let u be 2\/r + 10\/(-12). Let w be 2 - ((-7)\/(-4))\/1. Which is the second biggest value? (a) w (b) -3\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 - ((15 - 9) + (8 - 23) - (6 + -15))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9226782 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-72)*-8)\/((-2)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4*z + 2*a**4 - 7*a**3 - a*z + 4*a + 11*z wrt a.\nAnswer: 12*a**2*z + 24*a**2 - 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04136 + 8774426.\nAnswer: 8774426.04136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -244112 (base 11) to base 12\nAnswer: -167550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 6*i + 5. Let b be v(2). Suppose 24*m + 286*m = m - 1545. Sort m, b, 4, 1.5 in decreasing order.\nAnswer: b, 4, 1.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 106. What is the remainder when b is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 41, 81, 135, 203, 285, 381?\n\"Answer: 7*f**2 + 5*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 2128?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u = 295 - 75. What is the smallest value in -0.1, 0.2, 1.8, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -19*z + 16*z. Let m(d) = -d**2 + 82*d - 14. What is the hundreds digit of m(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/(-3))\/(170\/84 - 2). Let q = s - 68. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 880 = -2*l. Let p be (980\/42)\/((-4)\/(-6)). Let y be (1 - p\/25)*-40. What is the highest common factor of l and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:33 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1)**(-5\/2)\/(s**(-2\/39)*s**(-9)) assuming s is positive.\nAnswer: s**(353\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-6)*f)*(f**(-7)\/f)\/f)\/((((f*f\/(f\/(f*f\/(f\/((f\/((f*f**(1\/5)*f*f)\/f))\/f)*f))*f))\/f)\/f)\/((f\/(f*f**(-1)))\/f)) assuming f is positive.\nAnswer: f**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 = -3*h. Let u be -10 - h - (0 + -2). Find the common denominator of -41\/4 and (-156)\/(-14)*6\/u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 12*h**2 - 2*h + 3. Let o be q(-12). Suppose 2*j - o = 3. Do 15 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 22, 35, 50?\n\"Answer: t**2 + 8*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1268 and 56743?\nAnswer: 226972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3 - -7) + 10 + -17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - p - 4*p)*(-3 - 2 + 6)*(p**2 - 2*p**2 - p**2) + 30*p**3 - 3*p**3 - 5*p**3 to f*p**2 + t + u*p + y*p**3 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 4 + 2*l + 3*l**4 - 2*l wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (86\/(-6))\/(1\/(-12)). Suppose 13 = 3*d - 2. Suppose -b - 153 = -d*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.4 greater than or equal to -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p + 17 + 3 - 25*p + 7*p + 4*p.\nAnswer: 6*p + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - 2*x**4 - 3*x**4 + (4*x + x - 6*x)*(-1552 + 1552 + 11*x**2)*(2 + x - 2).\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, k: 1, x: 2, g: 1, s: 2}. What is prob of picking 1 s, 1 g, 1 x, and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**5\/15 + q**4\/12 + 5*q**3\/3 + 3. Let h(z) be the third derivative of j(z). Is h(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - -73) + (2 - -4 - 101)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*d = -2, -2*w + 4*d - 4 = w. Find the third derivative of 0*v**2 + 23*v**2 + w*v**2 - 13*v**3 - 5*v**3 wrt v.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191484859.\nAnswer: 191484859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*d - 2*d**3 - 22*d + 2*d**3 + 27*d + 2 - 130*d**5 wrt d?\nAnswer: -2600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*c**6 + 41*c**5 - 9024*c**3 + 23685041*c**2?\nAnswer: 1800*c**3 + 2460*c**2 - 54144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*x = -465, -2*t + 2*x = -7*t - 430. Let u = t - -134. Suppose u*g - 49*g + 15 = 0. Solve g = -3*o - 2*i, -2*i + 1 = o - 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369 = -45*l - 1040 - 1191 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:03 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1574842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*f + x - 1, 4*x + 22 = 5*f. Let n(r) = r + 6. Let m(w) = w**2 - 6*w - 31. Give f*m(k) + 11*n(k).\nAnswer: 2*k**2 - k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -944794 - -581992981\/616. What is the common denominator of n and -43\/77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 53, -3, 3 in ascending order.\nAnswer: -3, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 5*m = 16*x - 30, -3*x - 2*m = -8. Find the third derivative of 4 - 1 - 9*k**4 + 4 + 9*k**2 + 3*k**5 + 11*k**x + 9*k**4 wrt k.\nAnswer: 180*k**2 + 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10 and 5 - 295\/60 - -6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -274*v + 730475 + 611727 + 1518632. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 - 28*t + 19*t + 2 - 3*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-14)*112\/(-24))\/4. Calculate the highest common factor of d and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 130\/(-6)*(4 - 7). Suppose y = 14*d - 47. Suppose 6*q = d*q + 58600000. Round q to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -96, -196, -296?\n\"Answer: -100*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4. Let a be u + 2 + -1 + 2. Suppose -k = -i - 23, -5*i + i = -k + 29. Solve 0 = -5*o + r + k, 0 = -6*o + a*o + 5*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(3\/228). Suppose -299*f - 84*f = -110*f. What is the smallest value in f, g, -2\/17, 2\/11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.027 and -1592.12187272?\nAnswer: 1592.14887272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82977113?\nAnswer: 82977113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1642*v**3 + 86*v**3 - 84*v + 175*v - 91*v.\nAnswer: -1556*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/18*9\/(-14). Let g = 1.49 - 2.49. Sort 1\/4, t, g, 2 in ascending order.\nAnswer: g, 1\/4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*l - 486*l = y + 11, 3*y + 43 = 6*l + 7*l for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7066*r + 43 + 7076*r - 43.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-2)\/5)\/(6\/(-30))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7127 - 543 = -5*b + 3715. What is the highest common divisor of 198 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 + 5*f**2 + f + 9. Let d be 13\/4 - (-2)\/(-8). Let s(q) = q - q**d + 4*q**3 - q**3 - 1 - q**3. Let k(u) = 3*s(u) + w(u). Determine k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 943 = -4*c, 570 = 3*w - 0*c + c. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*b - 85 = 0, 0 = -4*n + 32*b - 29*b + 89. Calculate the remainder when 180 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816048201.\nAnswer: 3, 272016067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 8*i**2 + 13*i - 33. Let h be g(9). Find the third derivative of -4*w**6 - 4*w**2 + 21*w**3 + 0*w - 5*w**3 - 13*w**h - 11*w wrt w.\nAnswer: -480*w**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665553 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 + 5)*(1 - 4 + 2)*(-2*x - 2*x**2 + 2*x + (-20*x - x - 102*x)*(0*x - 2*x + x))*(0*x**2 + 0*x**2 + x**2).\nAnswer: -1936*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/10)*(s\/s**(-2\/5))\/s*s**(-1\/4)\/s**(2\/17))\/((((s\/(s\/(s\/(s\/((s\/(s*s**(-1)*s))\/s))*s))*s)\/s)\/s)\/s*s\/s**(-1\/4))**(4\/17) assuming s is positive.\nAnswer: s**(37\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 157203 (base 8) in base 13?\nAnswer: 1cc0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.156 * 0.115.\nAnswer: 0.01794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, 45, -2\/7, 12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(38)\/sqrt(2) - (2*sqrt(684) - sqrt(684))**2.\nAnswer: -684 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 0.05, 3, -5, -1\/3, 1\/7, 5 in descending order.\nAnswer: 5, 3, 1\/7, 0.05, -1\/3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*p - 3, 6*x = 7*x + 4*p - 9. Calculate the lowest common multiple of x and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 4*s**2 - 2*s + 1. Let f be b(3). Suppose -f*y - 4*n = -704, -3*y - 3*n + 2*n + 518 = 0. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by 5.\nAnswer: -106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-2 + (7 - 1). Suppose 4*v = -a + 851, 2*a + 3*v = -w*v + 1717. Suppose -71 = 5*o - a. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j - 21*j + 8*j.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*22\/(-22). Let c be 48 + -44 - (1 + v). Which is bigger: c or 39\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/7))**(3\/11)*(v**(-1\/3))**(-45))**(-26) assuming v is positive.\nAnswer: v**(-30420\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1178946, 2357766, 3536576, 4715370, 5894142, 7072886, 8251596?\n\"Answer: -z**3 + z**2 + 1178824*z + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*p - 8*p - 30, -2*p + 23 = -5*t. What is the nearest to -0.1 in t, -0.04, 5, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o**2 + 205 + 27*o**2 - 76.\nAnswer: 69*o**2 + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5.6. Let j = 17.4 - 17.9. What is the closest to -0.1 in -2\/9, z, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -289419\nAnswer: -289451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/5 - 10*i**3 - 608*i**2\/5 - 2176*i\/5.\nAnswer: -i*(i + 8)**2*(i + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -499*c**6\/6 - 351*c**2\/2 - 9. What is the second derivative of n(q) wrt q?\nAnswer: -9980*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 3*x\/4 + 65\/2.\nAnswer: -(x - 13)*(x + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 7:06 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6716297 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 36 - 8. Suppose 2*w = z + 11, 27 = 5*z - 4*w + 100. Let h = z + 25. What is the least common multiple of h and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 5. Let g(d) = d**3 + 14*d**2 + d - 30. Let j be g(-14). Let f be ((-112)\/35)\/8 + j\/(-10). Give u(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 442 - 442.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b - 3ac39?\nAnswer: -3abdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 12350860 = -10*v. Let a = 4770172 - v. Round a to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 2)\/(2\/118) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 130*t. Let v(z) = 11*z**2 - 8*z - 4. Let w(r) = 9*r**2 - 6*r - 3. Let y(g) = 3*v(g) - 4*w(g). Determine q(y(f)).\nAnswer: -390*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, 4, -12, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 200*b**3 + 655*b**3 + 574*b**3.\nAnswer: 1028*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, u: 5}. Give prob of sequence uu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 25*y**2 + 27*y - 24. Let n be f(26). Suppose n*g = -0*m + 5*m + 36, m - 20 = -3*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7667 a factor of 467737846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/(1467\/(-90) + 16)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/60 + 32*z**2 + 2*z - 1. Let m = -2 - -6. Let i(j) = 12*j - 4 + m. What is b(i(t))?\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 822 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*d + 156 = 5*b + 54*d, 0 = 5*b - 2*d - 154 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -51.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 9 - 2*r - r)*(-1 - 1 + 1)*(0 - 2 + 1).\nAnswer: -3*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -38. Suppose 7*b + 245 = 12*b. What is the greatest common factor of b and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*r + 30, -8 = -2*r + 4*h + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3324, -5481, -7638, -9795?\nAnswer: -11952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -1.1. Let h = r + 2. Let w = h - 1.4. Put 0, w, -0.5 in ascending order.\nAnswer: -0.5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = k, 0 = -2*k - 4*i - 15 - 11. Let j(c) = 6*c + 3. Let m(r) = -7*r - 3. Give k*m(d) - 6*j(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weyy when four letters picked without replacement from yweeeeewywhqhe.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/2, 9, -0.5, 1, 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 436 and ((-5240)\/(-524))\/(5\/66)?\nAnswer: 14388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 20. Suppose 18*w - 24*w + 42 = 0. Let f be x(w). Which is bigger: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**7\/7 + 276*w**4 - 3*w**3 + 75*w + 936. Find the third derivative of i(y) wrt y.\nAnswer: -120*y**3 + 6624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 198353, 396704, 595055, 793406, 991757?\n\"Answer: 198351*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 163 and 10?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -94*u + 1. Let x(t) = 47*t. What is 2*o(m) + 5*x(m)?\nAnswer: 47*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.26, -4, 0.22, -1\/19, 3\/133.\nAnswer: -4, -2.26, -1\/19, 3\/133, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + m**2 + m**2 + (-71*m - 37*m - 8*m)*(m + 2*m + 0*m).\nAnswer: -350*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 0*k + 0*k + (3 - 5 + 4)*(0 + 0 - 2*k) + 3*k - k - k + 0*k - 5*k + 2*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10800*a + 43227. What is w(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 298 + -296. Suppose -o*g - g = -33. What is the remainder when 19 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 15*g**3.\nAnswer: 3*g**3*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 714152 rounded to the nearest ten thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-29)\/((28\/7028)\/(-1 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 15. Let f be p(6). Let t = 45.995 + -46. Let h = -0.395 + t. Sort f, -4\/9, h in ascending order.\nAnswer: f, -4\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 f when four letters picked without replacement from {v: 3, t: 1, o: 3, u: 1, n: 4, f: 5}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15568 and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 442 + 88 = 0. Let v = 596 + y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36411000 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05548741143 to 5 dps.\nAnswer: 0.05549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 16*l + 56. Is x(41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:52 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d0 - 3?\nAnswer: -5d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/8 (b) 1.23 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5979 and -2826.\nAnswer: 16896654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-4))\/((-3)\/(-10)). Let a be 57\/15 - (-2)\/w. Suppose -2*t + 6 = 3*i, 0 = a*t + i - 5 - 7. Solve d - t = 2*j - 4*d, -j = 3*d - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2944 and 7.\nAnswer: 20608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 19*r**2 - 4*r + 9. Let q be k(-7). Let o = q - 1452. Let f = -10631\/22 - o. What is the common denominator of f and 113\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1157 + -1149. Calculate the greatest common divisor of 104 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*t - 1 - 10, 0 = 4*k + 2*t + 10. Let o = 969 - 3905\/4. Let i = o + 7. Put 4, k, i in descending order.\nAnswer: 4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.4, -2\/11, -16, 1 in ascending order.\nAnswer: -16, -2\/11, -1\/8, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 235\/(-40) + (-5*4)\/(-5) and -105\/68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/21))\/((r*r**(-3\/5)*r)\/r)*((r\/(r*r\/(r\/(r\/r**(-38)))))\/r)\/(r**(-1\/9)*r) assuming r is positive.\nAnswer: r**(-12721\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-1632\nAnswer: -1632.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35359 - -59352. Suppose 0 = 22*c - 20997 - d. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((-2)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 134362 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/4)\/((q*q**(1\/2)*q*q)\/q)*(q\/q**(-1))**(-43) assuming q is positive.\nAnswer: q**(-353\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**3 - a**2 + 3*a + 5. Let v be u(-3). Suppose -153 = -0*c - 5*c + 2*b, -5*b + v = c. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38456\/(-20976) - (-1171)\/642\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5\/2)\/m**0*((m\/(m**(-21)*m))\/m*m)\/((m\/(m*m*m**16)*m)\/m*m) assuming m is positive.\nAnswer: m**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 642 + 0?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21171096.4 rounded to the nearest ten thousand?\nAnswer: -21170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/10*1*((-13035)\/11376)\/(11\/(-4))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 1\/4, -659047, -0.2, 1 in descending order.\nAnswer: 1, 1\/4, 1\/10, -0.2, -659047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:59 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c4 - -a6?\nAnswer: 178a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 0*y + 29 + 22 - 51. Let w(a) = 0*a + a**2 + 0*a. What is w(n(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1435*x**2 + 2855*x**2 - 1429*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 25*h**4 - 6. Let c(z) = 5*z**4 - 1. Let p(t) = 11*c(t) - 2*n(t). What is the first derivative of p(y) wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.367 and 0.1163.\nAnswer: 10.4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -154*58\/(-6380) - (-37)\/(-25)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - i)*(-8205 - 577 - 133 - 672) as g + w*i and give w.\nAnswer: 9587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1870*s + 1805*s + 21434465. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-450)\/(-600))\/(6\/64)*(-9 - 6188\/(-688))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1609 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.0818 * 290\nAnswer: 313.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**2*s**4 - m**2*s**3 + 16*m**2*s - m*s**2 - 3*m - 2*s**5 wrt s.\nAnswer: 72*m**2*s - 6*m**2 - 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/5 in 4, -9, -9\/4, -0.1?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1816911 is divided by 2197?\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122755598 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(99) + 0)*-3 - (0 + 2*sqrt(99))*4)**2.\nAnswer: 52371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5499038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 455 and 1967.\nAnswer: 127855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 806, 1210, 1616, 2024, 2434?\nAnswer: 2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10 + k + 0*k - 2*k - 18. Suppose 4*o + 3*n + 34 = 0, -n - 29 = 5*o - 4*n. Let j(m) = -m**3 - 6*m**2 + 9*m + 8. Let t be j(o). Calculate z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + 2.1. What is the nearest to -1 in -0.1, a, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5 + 767*k**4\/3 + 2*k**3 - 767*k**2\/3 = 0?\nAnswer: -1, 0, 1, 767\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = t - 79547, 49*c - 48*c = 4*t - 15898. What is c rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/2545?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.893 - 23.9. Let f = 0.007 - 0. Let k = w + f. Which is smaller: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(133) - sqrt(133)*-1)*-6 - sqrt(133)))\/(-1*sqrt(35)\/(1*sqrt(5)))*-6)**2.\nAnswer: 4161456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 3*z + 140 + 0*z + 24 + 65 + 0*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - 5*v + 18, 3*v - 3 = 2*s. Let h be 2*-10*2\/(-20). Find the third derivative of -6*z**h + z**5 + s - 3 - 7*z**5 wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -7 (b) 0.2 (c) -621.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*a + 410*a - 72*a + 35*a + 11136 = 0 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203 + 1?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -572*d*p - 1069*d wrt p?\nAnswer: -572*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/20 - (4864\/27360)\/((-2)\/87)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -593162, -1186325, -1779488, -2372651, -2965814, -3558977?\n\"Answer: -593163*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 5*l - 5, 0 = 5*m - 4*l - 106. What is the remainder when 3\/(-2 - 286\/(-140)) is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -402\/5 + 1231\/15. Sort -5\/2, s, 166 in increasing order.\nAnswer: -5\/2, s, 166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 372\/496*1\/(3*4)*-2. Which is the closest to n? (a) 2 (b) -2 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-1)\/(-18) - (-14)\/(-63). Solve -5*x = -5*p + 40, h = -3*p - 2*x - x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -1.8. Let d = 73725 - 958423\/13. What is the closest to 0.5 in 4, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 9)\/(-2) - 1755\/(-520)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 3\/4, 4, -5 in ascending order.\nAnswer: -5, -0.01, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1005\/4158 + (-45)\/105 and 101\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 23*n - 276966 = 0. Let h = 769331\/75 - n. Find the common denominator of -87\/10 and h.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488466, -488467, -488468?\nAnswer: -488469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 divided by 9?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (42 - (-48 - -95)) + (-2 - (8 + -1))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4 + 449116*g**2 + 1105875 wrt g.\nAnswer: 8*g**3 + 898232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1815 and 34902341.\nAnswer: 34900526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 3 - 9 = 0. Calculate the remainder when 34 is divided by 19 - (-2 + 1 - w).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 72*k + 135. Let c(h) = 130*h + 271. Calculate -4*c(d) + 7*m(d).\nAnswer: -16*d - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + -3 + 1 + -2. Let n be (2\/(-5))\/(b\/(-270)). Suppose -3*y + 28 = l + y, 2*y = -3*l + n. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24057 (base 9) in base 16?\nAnswer: 3eda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -15. Calculate the remainder when j is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - o + 3 + 2 = 0, 4*l = -2*o + 2. Is l < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 10. Let h(t) = -2*t - 7. Let o(q) = 7*h(q) - 5*j(q). Let m be o(-1). Solve m = l - 6*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-4 - 1) + 18 + 14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 668 + -665. What is the biggest value in 0.17, 5\/4, j, -0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53, -1507, -4057, -7597, -12127?\n\"Answer: -495*c**2 - 75*c + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 142*a + 17 - 11*a**3 - 17 + a**3 to w*a**3 + x*a + z + r*a**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 8:35 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -21)*-1*2. Solve -5*r = -4*v - y, 2*r - 21 = 3*v - r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -553*r - 550*r - r**3 - 5 + 1104*r in the form x*r**3 + m*r**2 + y + h*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 21 + 24 + (4 - 3 - 3)*(0 + 2 - 1))*(0*u**3 - 3*u**5 + 0*u**3).\nAnswer: -27*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**2*v**3*y - n**2*v**2*y**3 - 84*n**2*v*y**3 + 2*n**2*v - 3*n*v**2*y**3 + 427*v**4 + 5*v**3*y**3 - 8*v**2*y**3 wrt v?\nAnswer: -12*n**2*y + 10248*v + 30*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1035 (b) -68 (c) -1\/3 (d) 47\/2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 4*c + c + (-2*c - 9*c + 5*c)*(3 - 1 - 1) + (0*c + 3*c - c)*(-2 + 11 - 23).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/2, 4, 5?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, m: 7}. What is prob of picking 3 z and 1 m?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 + 3*s - 3. Let i(q) = q**3 - q**2 - 15. Let h be i(3). Let a(w) = 10*w**2 - 5*w + 5. Calculate h*a(n) + 5*z(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.21 - 0.21. Let r = -12.2 + i. Let x = -0.37 - -0.07. Sort -2\/7, r, 3, x in increasing order.\nAnswer: x, -2\/7, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 - 2*o - 3. Give g(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4148 and 27336?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(6) + sqrt(6) + (sqrt(6) - (sqrt(6) + sqrt(42)\/(-2*sqrt(7) - sqrt(7)))) - sqrt(96)))\/(-2*((sqrt(84)*-1)\/sqrt(6))\/sqrt(7)).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from wwwwstwswwwwtwowwww.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) 0.037 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 1401228.\nAnswer: 1401232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from mukeyejkeyju?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 - -0.06. Let f = -7\/15 + -1\/30. Sort f, -5, o.\nAnswer: -5, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217237, 217162, 217087, 217012, 216937, 216862?\nAnswer: 216787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6)*(-1 - 1). Suppose 2*f + 7 = 11. Let z be 1 + p + f - 470002. Round z to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3869, 8109, 12337, 16553, 20757, 24949?\n\"Answer: -6*w**2 + 4258*w - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from gqqqqgqqqqqqqgqqqqqg?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 - 4*n - 126. Let a be i(-14). What is the highest common factor of a and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162 and -2170778.\nAnswer: 351666036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -82*(-3)\/((-18)\/(-3)). Let x be 16\/(-56) + (-1 - 69\/(-21)). What is the tens digit of p - 8 - (1 - x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.125 + -46.125. Let v = 46.3 + f. Let n = -568\/7 - -81. Put v, 2, n in decreasing order.\nAnswer: 2, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -44, -61, -78?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4 + 2248*p**3\/5 - 33167*p**2\/5 - 321334*p\/5 + 4700904\/5 = 0?\nAnswer: -2318\/5, -12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 365986 and 4?\nAnswer: 731972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - f - 5185 + 24256, -19081 = -2*l - 3*f. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -54*p**7\/7 - 13*p**3\/3 - p**2 + 51. Find the third derivative of w(q) wrt q.\nAnswer: -6480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136028489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + 1. Let m = 5.9 - c. Let o = 4.3 - m. Which is smaller: -37 or o?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13021*k**2 + 391*k - 4 wrt k.\nAnswer: -26042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-42))\/(126\/(-147)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9852 - 42.17.\nAnswer: -41.1848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4150339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501 a factor of 680259852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 2aed?\nAnswer: 2ae9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 4574 + 4457. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)\/n)**(-32)\/(n**0\/n**3) assuming n is positive.\nAnswer: n**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11.3785 times 0.5\nAnswer: 5.68925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5594*l + 0 + 0 + 0.\nAnswer: 5594*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816*d - 5*d**3 - 802*d + 1620*d.\nAnswer: -5*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/2517 + -125843\/17619. Let o = x + 478\/63. What is the closest to -0.06 in o, 3\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4527 is divided by 80?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + y - y**3 - y**3)*(-2 + 3 - 3 - 1 - 3 + 3 + (2 - 3 + 2)*(-3 + 2 + 2) + 4 - 1 - 1 - 87 + 534 + 461 - 88).\nAnswer: 1640*y**3 + 820*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, o: 6}. Give prob of picking 2 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(-30)\/9. Let u be (-2)\/6 - (-104)\/24. Factor -6664*h**u - 2030*h**2 + 314*h**v - 128 - 4050*h**2 + 1472*h + 10528*h**3 + 1058*h**5.\nAnswer: 4*(h - 2)**2*(7*h - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 1. Let q be u(1). Suppose 21 = -3*z + 30. Let b(h) = h**2 - 3*h. Let v be b(3). Sort v, q, z in increasing order.\nAnswer: q, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 8:38 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 12*r**2 - 5*r + 15. What is the hundreds digit of l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.049? (a) 66 (b) 2\/19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**2 + 7*b + 31. Let v(k) = 6*k**2 + 4*k + 15. What is 4*q(t) - 7*v(t)?\nAnswer: 2*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/(d*d**(-2)*d))\/d*(d\/d**(-5))\/d)\/(((d*d\/(d**(1\/4)\/d)*d)\/d)\/d**(2\/5)) assuming d is positive.\nAnswer: d**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -40. Let m = v - 20. Calculate the lowest common multiple of m and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 204403950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shvpvvscshh. Give prob of picking 1 c and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6164.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i = 0. Suppose i = -g - g + 422. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6282 is divided by 2986?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iccp. Give prob of sequence cp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110010110 + 1100?\nAnswer: 100110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -851398 rounded to the nearest 100?\nAnswer: -851400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4725*k**3 - 4730*k**3 - 2 - 14*k**2 + 2 as b*k + i*k**3 + y + j*k**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161 and 645.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399940799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.39297 and 5.\nAnswer: 1.60703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - 2*s**2 + 4*s**2)*(2*s**2 + 5*s**2 - s**2) - 4*s**2 - 3*s**4 + 4*s**2 + s**4 - 2*s**4 + 2*s**4.\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q**3 + 2*q + 1. Let x be t(-1). Suppose 0 = -7*m + 3*m - x. Calculate the remainder when m*(-2 + 27\/(-6)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 12. Let w = 17 + -7. Let u = w + n. Let q(i) = -3*i**2. Let x(k) = -8*k**2. What is u*q(c) - 4*x(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45058 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58\/17 - -668\/153. Let g be (-234)\/(-107) - (0 + 2). Let n = g - 2895\/1177. Calculate the common denominator of n and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3270565 and 777635.\nAnswer: 2940237935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4739 + 2384 = 10*s - 2415 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -533565.\nAnswer: -2\/106713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28468, -56111, -83754?\n\"Answer: -27643*a - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5653, -11305, -16957, -22609?\nAnswer: -28261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 87 + 3 + 1. Let n = -89 + f. Solve n = -6*l + 2*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232944 and 2321.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*y - 7 = 0, -187*g + 185*g - y = 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 2*o. Let g(p) = -p**2 - 4*p - 1. Let m(f) = -3*g(f) + 5*i(f). Let s be (-2)\/(1 - 2 - -2). Give m(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.83 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from {y: 5, n: 2, j: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*r + 11, r + j + 5 - 4 = 0. Let b(v) = -v**3 + v**2 + 3*v + 8. Let s be b(0). Let h be -1*(1\/4 + (-2)\/s). Put h, 1, r in descending order.\nAnswer: 1, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 - 21160*n\/3 + 223872800\/3.\nAnswer: (n - 21160)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 10. Let o be j(2). Solve 0 = 4*r - 0*r - 2*m + o, -m - 12 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 14) to base 2\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 13. Suppose -8 = 2*x - 4*d, -x = -3*d - j*d + 7. Suppose 3*t - 15 = -3*k, -2*t - 4*k + 5 = -3*t. Solve o + t = x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**4*f*f**(-5)*f*f**4*f**(1\/5) assuming f is positive.\nAnswer: f**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.02 (b) 0 (c) 1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295347 is divided by 302.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -3955626?\nAnswer: -3955626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-60904)\/69*(-9)\/(-24)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30149 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b**4*i*n - 4*b**2*i + 3*b*n**2 + i*n**2 + 18*i + 3*n**2 wrt b.\nAnswer: -28*b**3*i*n - 8*b*i + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1.2 (c) 0.2 (d) 2\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -20, -261*k + 245*k - 2*s - 38 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-10) + 19\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (188\/(-235))\/(1056\/(-525) - -2). Calculate the greatest common factor of n and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 + 177. Suppose 3*g - 5*g - 515 = -5*q, 515 = m*q + 3*g. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:40 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*q - 97399 = -17278, 0 = -2*t - 4*q + 160242. What is the ten thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:46 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 9*i - 2*b = 450, 4*i = -5*b - 895. Let a = i + 590. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66462 at most -66432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 1\/12 (c) 1 (d) 1\/425209 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-j**2 - j**2 + 3*j**2 - 5*j**2 - 8*j**2 + 5*j**2 + (2*j - 2*j - 2*j**2)*(1 + 2 - 1) + j - j - 2*j**2).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.3 (b) 2 (c) 2\/5 (d) 5 (e) -1 (f) -0.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13194 + 13194. Which is the nearest to v? (a) 1\/5 (b) -3 (c) 2\/197 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 1011520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709686911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147498 is divided by 243.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2505 - -7149. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 88 = 8914. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 divided by 30?\nAnswer: 151\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (sqrt(98) + sqrt(98)*-1*5 + sqrt(98))**2 - (-4 + 2*sqrt(98))**2 - (2 + 4 + sqrt(98)*-1)**2.\nAnswer: -1424 + 203*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**4 + 11*g**4 + 6*g**4)*(-2 + 2 - 2*g)*(-52 - 117 + 82).\nAnswer: 2088*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose m = 3*v - 11609840 + 3209840. Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 40403532699?\nAnswer: 40403532695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3540 + -1023015?\nAnswer: -1030555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(-2\/83))*l\/l**(-12)*(l\/((((l*l**(-10)*l)\/l)\/l)\/l))**(-23\/2) assuming l is positive.\nAnswer: l**(-10377\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010557349 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3461*b - 40764. Determine v(-12).\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5534021?\nAnswer: 941, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 11:03 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 - -142. Find the common denominator of (-232)\/(-21) + z - (-4)\/14 and 56\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115247593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 30 = 3*j, -2*l = 2*j + 189 - 181 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*t + 40 = 0, -6*l - 5*t - 38 = -3*l. Let a = l + 27. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/15 - 78*z**2. Let j(f) = 7*f**2 - f. Calculate j(l(x)).\nAnswer: 112*x**4 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94660906 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-842*m - 760*m + 364*m)*(-32 - 6*m + 15*m - 10*m).\nAnswer: 1238*m**2 + 39616*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzzzm. Give prob of picking 1 m and 2 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4509*m + 6155. What is the ten thousands digit of f(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-615)\/4715*((-188)\/3)\/(-2) + 4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -644.659 + 645. Let z = o + -0.641. Which is the closest to -0.8? (a) 2\/9 (b) -2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7 + 2*g + 0*g**3 + g**3 - 4*g**2 - g**2. Let b be j(5). Let i(x) = -29999*x - 3. Let h be i(b). Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/209 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - j**2 - 113 - 114 + 335 - 109. Give w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548, -2182, -4904, -8714, -13612?\nAnswer: -19598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4 + 1, -5*f = 5*i. Is (-3)\/f*(-174)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 11 = -5*t. Let p(o) = -o + 23. Let m be p(t). Solve h = -2*h + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 9*p - 6 - 4*p - 7*p**2 + 2. Let h be n(-8). Suppose -w - 2*b - 2 - 3 = 0, 0 = -4*w + 2*b - h. What is the second smallest value in 0.3, w, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -17*r + 1. List the prime factors of z(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.3. Let t = 475 - -15. Let k = t + -491. Which is the nearest to z? (a) k (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/61369 or 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 38. Let o = u + -31. Let v = -12.999931 - o. Round v to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*36\/560*(46\/414)\/((-2)\/8)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27610223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:20 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 736, 2962, 6676, 11878?\nAnswer: 18568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 14 = -3*u, 7 = u + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 890 and 191402065?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025547172 rounded to 6 dps?\nAnswer: -0.000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1660800074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 7, -409 in increasing order.\nAnswer: -409, 7, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 51. What is y(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 174?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5775 is divided by 2827.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*335\/(-120)*-4. Do -1 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**7\/420 + g**6\/240 - 5*g**2. Determine v so that b(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73844 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372259879, -744519759, -1116779639, -1489039519, -1861299399?\nAnswer: -2233559279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -718164*g**3 - g + 1238542?\nAnswer: -4308984*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3821, 3743, 3665?\nAnswer: 3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - r = 7, 5*w - 93 = -2*r - 104 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 22 + 11 + 781*y**2 + 188*y**2 in the form z*y**2 + n*y + q and give z.\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 6*q**2. Let j be f(-6). Suppose -5*h - 2*a + 14 - 2 = j, 2*h - 2*a - 2 = 0. Solve -10 = 3*v + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*(-2)\/(-3)*(-9)\/5. Suppose -392 = -f*j + 436. Solve j - 43 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 994 and 670397833.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110176394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**2. Let h(x) = -12154*x**2. Determine h(i(o)).\nAnswer: -777856*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -7*s**5\/5 - 25*s**2\/2 + 23*s. What is the first derivative of f(j) wrt j?\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = 3, 2*c = -3*j + 66. Let d = c + -32. What is the third derivative of -20*l**2 + d*l**2 + 6*l**2 - 2*l**4 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 343760277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*i + 17*i - 48 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4. Suppose 4*y + 16 = 5*y. Suppose 2*b - y = 6. Calculate the smallest common multiple of v and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 286, 415, 510, 559, 550?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -7, 2, 11?\n\"Answer: 9*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9110881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23507 - 28425.7. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/7? (a) 0.5 (b) -0.13 (c) 0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(7\/168*3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-8)*u**(2\/27)*u*u*u**(2\/43)\/u**(-2\/7))**(-4\/7) assuming u is positive.\nAnswer: u**(149332\/56889)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -23. Let g be (-4)\/6 + (-14)\/v. Is -3 + (g - -134) + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 60, 4\/5, 0.053, -1.8, 1\/4?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 10*h + 7. Let c be o(10). Let x = 4 - -10. What is the highest common factor of x and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 242134?\nAnswer: 242141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*d - 40 = 0, -3*d = -a + 2*a + 12. Solve 5*k + 8 = -4*n, -2*k - 2 = a*n - 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 35. Let y be g(-13). Suppose -3*b - 3*m + 1090 + 35 = 0, 3*m = y. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -13. Let k(a) = 2*a**2 - 6*a - 1. Let u(x) = -x**2 + 3*x + 1. Let c(r) = 6*k(r) + 13*u(r). Let m be c(4). Solve -m*q + d = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1\/4, -4, 8 in increasing order.\nAnswer: -4, -1\/4, 2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1535, -1525, -1483, -1373, -1159?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 334 + -36. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902*q - 681 = -886*q - 2409. What is the greatest common factor of q and 3294?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.528591933 - 1.5286. What is v rounded to seven dps?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 3*i - 36. Let w be x(-8). Solve 4*k - 20 = -5*b, 0 = w*b + b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9619, -19305, -28991?\n\"Answer: -9686*k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -0.1, -726\/755?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 78 - 57 = -45 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -v + 149, -3*a - 741 = 2*a - 3*v. Is a > -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783109.\nAnswer: 103, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1573 and 660231?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/292 - 4\/73. Let y be -3*(-5)\/(-180)*(-16)\/10. What is the biggest value in y, 4, z, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/44*4)\/(-1)*2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15*33\/(-176)*8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -58*k**3\/3 + 1384*k**2 - 21832*k - 148064\/3 = 0.\nAnswer: -2, 28, 1322\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 + 2*w + 1. Let h be q(-1). Let p be -58 - (0 - (2 - h)). Find the common denominator of 123\/140 and (-83)\/(-5)*(p\/14 + 2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -5*m, -5*m = -m. Suppose -7*d + t*d = -2*s, -5*d - 20 = -5*s. Suppose 1565 = s*a - 3*a. What is the remainder when a is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2217? (a) -0.051 (b) 2\/7 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82944.97 years to millennia.\nAnswer: 82.94497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1107 - 6*s**2 - 1103 - 12*s**2 - 4*s**2 - 1070 + 3280.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 16\/5 (b) 1\/3 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-205*s**3 + 106*s**3 + 100*s**3 - 36*s)*(-413 - 231 + 100) as h + w*s**3 + p*s + v*s**2 and give p.\nAnswer: 19584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -36. Let h = i + 56. What is the greatest common factor of h and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**3 + y**2. Let i(p) = p**2 - 5*p + 3. Let x be i(4). Let z be l(x). Let k(r) = -r**2 - 6*r - 6. Determine k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - o - 14, -f + 16*o - 21*o + 34 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(720)*1)\/sqrt(12))\/(2*sqrt(432) - sqrt(432)))**2 + -4 + -3)*-4.\nAnswer: 247\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 + 19*x + 10. Let s be p(-6). Let q(v) = v**2 + 6*v - 12. Let k be q(-8). Solve -3*w + 2*j = 6*j - 1, -20 = -s*w + k*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 53?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 367, -27 in decreasing order.\nAnswer: 367, 8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (72 - 73)\/(-1*3)*-33\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 29. Suppose 20 = -25*z + 29*z. Which is the biggest value? (a) j (b) -4\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-8)*(-1)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/20*-2)\/((975\/140)\/(-13))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 558, 3\/8, 3, 0.4, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(2)*2))\/(sqrt(36)*-6).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 37210.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-54712)\/112)\/(2\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0*y**4 + 0 + 0*y**3 - 29\/30*y**6 - 10*y + 23\/2*y**2 + 0*y**5. Differentiate o(w) wrt w.\nAnswer: -116*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 4*t - 4*h, 5*h = 4*t + 7*h - 196. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 189706170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + -1 - -850 - 5.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8 - -11)*3\/(-29) and (36\/(-14))\/((-80)\/140)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 16*z - 41. Let r be g(12). Suppose 2*n = -9*x + r*x + 360, -x + n = -170. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 776*n**2 + 0*n - 5211*n**4 + 0*n - 5*n**3 + 5265*n**4 wrt n?\nAnswer: 1296*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.3 - -2. Let d be 2\/(-16)*-8*(-11)\/(-44). Put 0.04, d, y in increasing order.\nAnswer: y, 0.04, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 47*c**4\/24 + 26*c**2 + 2*c. Let q(i) = i**2. Calculate q(m(d)).\nAnswer: 2209*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 6*r**2 + 8*r - 403. Calculate c(0).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -287, -3.1, 1446?\nAnswer: 1446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(242) - ((sqrt(242) + 1)*3 + sqrt(242)))**2 + 1*(sqrt(4)\/sqrt(2) - sqrt(2) - sqrt(2)) + -3).\nAnswer: 1182*sqrt(2) + 13104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/181 + 173\/362. What is the closest to 31 in s, -0.4, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-9)*d**(9\/5))\/(d*d**(-1\/3))**(-4\/21))**32 assuming d is positive.\nAnswer: d**(-71296\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4231748 rounded to three dps?\nAnswer: -0.423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soloololllwlw. What is prob of picking 1 l and 2 w?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t. Let o(k) be the third derivative of k**4\/12 + 59*k**2. Calculate -5*m(y) - 21*o(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, w: 4}. Give prob of picking 1 m and 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 6, s: 3, h: 2, a: 6}. What is prob of picking 1 c and 2 s?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-298)\/(-1639)*242\/143\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*(-500)\/80\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q. Suppose v - 5*i + 13 = 0, 0 = 4*v - v - 2*i. Let t(b) = 4*b**2 + 3*b**v - 5*b**2 - 3*b**2. Give t(h(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -45*z**3 - 1450*z**2 - 320*z = 0.\nAnswer: -32, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3816 (base 11) to base 7.\nAnswer: -20341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32\/9 + -577\/180. Find the common denominator of v and 77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-8 - (-7 + 0 + (-23 - -32))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56038 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38006 less than -11207798?\nAnswer: -11245804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.6, 1\/2, -0.1, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2235352269 from -3851.\nAnswer: 2235348418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvbvvv. What is prob of picking 1 b and 2 v?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155, -0.0107, 1\/24, -3.\nAnswer: -3, -0.0107, 1\/24, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose 5*n - q*m = n + 613, 4*n + m = 601. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 9*i**2 + 9*i - 3. Let c be x(8). Put 3, c, -5 in decreasing order.\nAnswer: c, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let o = 0.1 + q. Let x = -2\/163 - -175\/978. Which is the closest to 1? (a) o (b) 2\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = 16*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/452 and 51\/452?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 1 + 14 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-90)\/(-12)*(-72)\/10. Let u be (g\/4)\/((-3)\/4). Suppose 0 = -4*p + 2*t + 42, 0*p - 3*t = -p + u. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25642989 and -1.\nAnswer: -25642989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2, -3, -9080 in decreasing order.\nAnswer: 4, -1, -2, -3, -9080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 40\/2)\/(17\/((-459)\/(-54))). Calculate the greatest common divisor of u and 1045.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4 (c) 1.84 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3803337358 to the nearest integer?\nAnswer: 61671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 538 = 159. Calculate the remainder when 121 is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjxjxjxxjjxxjxjxjj. What is prob of picking 4 x?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1111010001?\nAnswer: 1111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -86. Calculate the remainder when 127 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 4*s**3 + 2*s**3 + (-80*s + 80*s - s**2)*(-6*s + 9*s + 2 - 5*s).\nAnswer: s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 102 = -15*r. Let v be 1\/(-2*2\/44). Let u = r - v. Solve 11 = -4*q + 4*l - 9*l, -2*q - u*l = 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*y - 1074 - 1326 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/77239010 and -10\/146754119?\nAnswer: 1467541190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369*p**3*z - p**3 - 11*p**2 + 380*p*z + 2*p - 1 wrt p.\nAnswer: 2214*p*z - 6*p - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837 is divided by 168.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**4\/12 + 175*g. Let l(x) = -267*x**2. Give l(m(k)).\nAnswer: -267*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19493 - -10?\nAnswer: -19483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2758717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465078132, -465078134, -465078134, -465078132, -465078128?\nAnswer: -465078122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/14*209\/(-165) + 2\/(-6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(sqrt(396)*2 + sqrt(396)))\/sqrt(12))\/(-3*(sqrt(11) - sqrt(11)*-2) - sqrt(22)\/(sqrt(2) - (sqrt(2)*1 + sqrt(2)))).\nAnswer: -75*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + (2 - 3) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1880 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3917?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 3*d + 0*d)*(2*d - d + 3*d) - 3*d**2 - 2*d**2 + 3*d**2 + d**2 + 0*d + 0*d to x + b*d**2 + r*d and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38330 + 38359.799. What is o rounded to zero dps?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - r)*(r**3 + 4*r - 4*r) + 5*r**2 + 2*r**4 - 5*r**2 + (-8*r + 78 - 78)*(3*r**3 - 5*r**3 + r**3) + 136*r - 69*r**4 - 136*r.\nAnswer: -60*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123343.23694 rounded to the nearest integer?\nAnswer: 123343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 145*r - 1 - 1 - 154*r - 4. Is 20 a factor of v(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 56*c**3 + 12*c - 13. What is the tens digit of f(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-330)\/(-60)*(96\/27 + -4) and 34\/1449.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1211460 - -1211460.4000009. Let v = c - 0.4. Round v to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00180699963 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 275550185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*x**2 + 3 + 3337*x**2 - 3.\nAnswer: 2489*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -z - 5 - 18, 2*s + 2*z - 26 = 0. Is 11 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/40 - 19*n**5\/60 + 7*n**4\/12 + 5*n**3\/3 + 89*n**2. Let o be i(-7). Solve 0 = -2*m + 2 - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222016 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*f + 2 = 2*x, -x + 10 = 4*f. Suppose d + 2*a = 13 + 4, 5*d + x*a = 53. Suppose d*z = 4*z. Solve z = 3*v - 0 + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104346 + 0?\nAnswer: 104346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7 = -1. Let h be 0 + 5\/c + 3. Solve -1\/2*o**4 + o**3 - h*o**2 + 0*o + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13200000 rounded to the nearest 100000?\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpqqpqqpqqrqppqpr. What is prob of picking 2 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14190 divided by 6?\nAnswer: -2365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = -484. What is the greatest common factor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 4. Let s(u) = -u**3 - 7*u**2 + 9*u + 4. Let y be s(-8). Let j be r(y). Suppose 0*g + g = j. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486126?\nAnswer: 2, 3, 113, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -187, -4 in ascending order.\nAnswer: -187, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, w: 1, q: 2}. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 6. Let a(n) = -10*n + 39. Let f(b) = -30*b + 137. Let u(d) = 7*a(d) - 2*f(d). What is o(u(m))?\nAnswer: -10*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9626, -9753, -9880, -10007, -10134, -10261?\nAnswer: -10388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from ixgigiggxgxgx.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -333146, -666279, -999398, -1332497, -1665570?\n\"Answer: z**3 + z**2 - 333143*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_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 v = 52.3 - 52. Sort v, -0.4, -0.06, -3 in increasing order.\nAnswer: -3, -0.4, -0.06, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 2.98. Let v = y + -2.984. Let g = 0.0274 - v. What is g rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 106 - 2798. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 19*g = -9000. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1357 and 205261?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/4, 0.7, -2, 11\/14, 4\/41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*b + 12, -5*b + b = m - 10. Let l be (-1)\/(m\/(-30))*1. What is the units digit of 4 + -2 - -1*l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4)\/(-1*10\/45) and 716?\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 179 = -40*r + 61. Solve -5 = -4*l + r*a, 4*l + a = 2*a - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2.5 (c) -38049 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64492244 divided by -16123061?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 1:49 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 4*r**3\/3 - r**2 - 9*r + 12. What is the hundreds digit of j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h + 3*h - h)*(2 + 0 - 3) - h - h + 0*h + 4 - 3*h - 4)*(6 - h**3 + h**3 - 2*h**3).\nAnswer: 12*h**4 - 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 615\/(-9) + 4\/(-6). Let l = -27 - o. Suppose -h + 12 = 4*a - 19, 2*h = -4*a + l. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 67 + 4 = 0. Let d = 666 - 660. What is the remainder when (-369)\/b + d\/14 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 8*q**2 - 4*q - 20. Let g be u(6). Let c = 45 - g. What is the remainder when 31 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39825*r - 15210*r - 3027189 = 17047 - 238126 for r.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 5*y + 375 = 2*z, -10*y = -z - 1273. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19789 + 19838. Solve 8 = g*v + 57 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 832*f - 27095. What is w(31)?\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 - 4*s**5 + 2*s**5 + (3*s**4 + 0*s**4 - 2*s**4)*(-4*s + 2*s + 3*s) + 6*s**5 - s**5 + 3*s**5.\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 1:42 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9487 rounded to the nearest one hundred?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*6\/4*-2. Let h be 62\/12 + (-3)\/18. Let l(r) = 11*r + 8. Let t be l(h). Calculate the highest common divisor of t and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:36 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -217, -333, -451, -571, -693?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(24\/(-378))*-3. Calculate the greatest common divisor of j and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/12 (b) -1\/3 (c) 0.1 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -465, -4 in descending order.\nAnswer: 5, -4, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3290 by -5.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 485 + 877. Which is smaller: 4084\/3 or u?\nAnswer: 4084\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 4. Let d be p(-4). Suppose 4*l - 2 + 0 = 2*z, d = l - 4*z + 10. Let i(u) = -l*u**2 - 2*u**2 + 4*u**2 + 2*u**2. Let v(s) = -2*s. What is v(i(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**3 - 19*c**2 - 10*c. What is the least common multiple of 652 and l(-4)?\nAnswer: 9128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/597 and -16\/1569657?\nAnswer: 312361743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*v - 28462 = 0, -2*j - 4*v + 8*v + 18968 = 0. Is 51 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 = 2853*i - 2765*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -8, 4, 1158?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-800)\/180 - (-3 + 1\/(-1)*1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 3*k**2 - k - 5. Let o(l) = -l**3 + 2*l**2 + l + 5. Let r(q) = -4*o(q) - 5*s(q). What are the prime factors of r(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsw when three letters picked without replacement from {k: 1, s: 1, a: 6, w: 3, x: 3, b: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0745, 0.5, 0.09?\nAnswer: 0.0745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211410442 (base 5) to base 7.\nAnswer: -10356433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35527, -67604, -99681?\n\"Answer: -32077*f - 3450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73371669*s**2 + 80887138*s.\nAnswer: -146743338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1) + 0 + 5. Suppose -l + 3 = d. Let w = 4 + d. Which is greater: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22590, -36963, -51336, -65709, -80082, -94455?\n\"Answer: -14373*w - 8217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 1272.621.\nAnswer: -1262.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**6\/40 + 117*c**5\/80 - 507*c**4\/16 + 2197*c**3\/8 + 620*c. Let u(n) = 0. Calculate n.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1562668 and 4540?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -31*r**4\/24 + 2*r**3\/3 - 36*r**2. List the prime factors of u(-3).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 47*f - 1515. Let d be j(22). Sort -18, -3, 17, d, 5 in decreasing order.\nAnswer: 17, 5, d, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-33)\/(-2) - -3)\/(9\/60) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 26*n - 21*n - 16775, 4*t + 3*n - 13419 = 0. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*s - 1 + 3 + 3*s to the form q + l*s and give l.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1766029578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1100 and 377800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*(0 + 6)*-1. Suppose -b - 3*j = -1163, -2*b - 603 + 2921 = k*j. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(-62 - 4470*i + 4558*i - 12) as g*i + n and give n.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/13? (a) -562 (b) 0.022 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 108 = -52*s + 48. Let f be -1 + (1 - -2) + 1. Solve 2*y**f - s*y**5 + 2*y**4 - 2*y**2 - 6*y**4 + 6*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 38 = 7*p - l, 96*p - 98*p + l + 18 = -4*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 4*j**3\/3 + 5*j**2\/2 - 5*j + 42. Calculate the remainder when 206 is divided by x(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 6. Let p be o(6). Is (p\/(-15))\/((-4)\/(-170)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-3)\/(-50))\/(4*3\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14590 is divided by 4859?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/10)\/(((-88)\/55)\/8). Suppose 3*q + w*q - 110 = 0. Calculate the greatest common factor of 671 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 4*o**2 + 3*o + 4. Suppose 5*l + 138 = -42. Let d = l + 25. Let a = d + 8. Give s(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**10\/37800 - k**9\/5040 + k**8\/280 - k**5\/60 - 19*k**3\/6 + 105*k**2. Let i(l) be the third derivative of d(l). Factor i(w).\nAnswer: -4*w**2*(w - 3)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 333420.36 and 170.2.\nAnswer: 333590.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-1))\/((-2)\/(-34)). Suppose -2*p + d + 1 = 0, -5*p + 4 = -6*d + 4*d. Suppose -4 = -m + 3*s, -m = 3*m - 2*s - 6. Sort p, y, m in descending order.\nAnswer: p, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1434200224 (base 5) to base 13\nAnswer: -a3926c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:36 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 5. Let d = 11734 + -199476\/17. What is the closest to 4\/21 in -5, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9601.\nAnswer: 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7a03 (base 11) to base 6\nAnswer: 120430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {r: 4, x: 6, k: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 100, 186, 360, 652, 1092, 1710?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43544646487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 10*x - 3. Let n be o(-9). Suppose -3*r = 2*a - 175, -4*r = -2*a + 148 + n. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1471\/3 + -7352\/15. Sort -2\/9, i, -3, -2 in decreasing order.\nAnswer: i, -2\/9, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68241209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4827415 + 7?\nAnswer: -4827407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1316, 1426, 1536, 1646, 1756?\nAnswer: 1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23996.36203 and -0.3.\nAnswer: -23996.66203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3690\/861 - (5 + 1 + -2). Which is the nearest to g? (a) -0.2 (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**2 - 523*y - 2482 wrt y.\nAnswer: -4*y - 523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 258\/11 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 375 + -373. Solve -6*b + 16 = -v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/207 (b) -4 (c) -2 (d) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 2*f**6\/3 - 5*f**2 + 3. Find the second derivative of b(c) wrt c.\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + n**3)*(0 + 70*n - 65*n - 1) as y*n**3 + v*n**2 + u + d*n + s*n**4 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-105)\/1540*11 - 21\/(-12). Let l = 113 + -185. Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*w = -376, -29 - 157 = -2*x + 3*w. Suppose c = 2*s + 470, 4*c + 5*s + 42 - 1987 = 0. Calculate the greatest common factor of x and c.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 - z + 3. Let u be r(-5). What is the highest common factor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -39 (b) 0.2 (c) 1\/14 (d) 0.5 (e) -0.8 (f) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 11}. Give prob of sequence dy.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*j - 2 = 0, -5*j = p + 2*p + 34 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 52. Suppose -174*a + 175*a - 7 = 0. Let s be c(a). Find the second derivative of t + 18*t + 5*t - s*t**4 wrt t.\nAnswer: -204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**5\/120 - 5*m**3\/3 - 10. Let l(o) be the third derivative of a(o). Let p(v) = 9*v**2. Determine l(p(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205983*w + 206067*w = 1596 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 + 2*h + 26789. Does 7 divide i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2579.1 + -2579. Let z = 0.19 + -0.03. Let q = 8.16 - z. Which is the nearest to 0.1? (a) q (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-50)\/(-60) + (1051870\/(-60))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8471774 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 26 = 7*l - 3*l, s - 27 = 5*l. Suppose -2*c = -d + 10, -2*d - 6*c = -s*c - 12. Suppose 0 = -4*n + 5*n. Solve 0 = -4*m - n*m - d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 7. Give j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*d - 1130, 37*h + d - 1126 = 34*h. What is the greatest common divisor of 561 and h?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11344 is divided by 1260.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from rrrrkkkrkkrrrrrrrr.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16*2)\/((-6)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 8*l + 9. Let w be v(-7). What is the derivative of -w*i + 3*i**3 + 2*i + 3 wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 1 + 1 + (0*i - i - i)*(1 + 0 + 1) + 2 - i - 2)*(-5 + 0 + 6).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17163 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 1088.7 and -117.\nAnswer: 971.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3 = 0, 3*b + 5*t - 3 = 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 7*b**2 + 92*b + 59. Calculate the remainder when a(-15) is divided by 179.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -6992\/19069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -796.\nAnswer: 3\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*-1*(0 + -1). Suppose 11 = -4*d - 5. Let w be 3\/d - (-3)\/4. Solve s*q - q + 1 = w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 + 174.3. What is the smallest value in x, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, 179, 662, 1165, 1694, 2255, 2854, 3497?\nAnswer: 4190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 99?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:42 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0 (b) 36 (c) 5.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13804 + -13855. Which is bigger: d or -53?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3948246 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -56465 (base 7) in base 8?\nAnswer: -33742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.539 litres in millilitres?\nAnswer: 421539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -1\/660*r**6 + 0 + 0*r**3 + 0*r - 1\/66*r**5 + 25*r**2 - 1\/22*r**4. Factor l(n).\nAnswer: -2*n*(n + 2)*(n + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3 + 3415*l**2 + 7713*l - 7704 = 0. Calculate l.\nAnswer: -3, 3\/4, 856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-7 + 0 - (-5 + -25 + 16))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*g + 4656, -g = -4*p + 3515 + 201. What is the highest common factor of p and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/132 and -41\/2472?\nAnswer: 27192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 578 = -4*c, -3*u + 7*u = 2*c - 774. Which is greater: -197 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 258 and 623027.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 694, 971, 1248?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 12068*s**3 - 12066*s**3 - s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 69\/5. Let n = -43332 + 43331.7. Let g = 4.92 - -0.08. Which is the nearest to 0? (a) n (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5124 = -901*h + 718*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/42641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249 or 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -63.7 and 5.611872.\nAnswer: -58.088128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4820 = r - 9*r + 5068 - 9272 for r.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 4*o + 2, -4*o - 5 = -3*i - 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 19 - 9 = -3*q, -5*w - 8 = 3*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 32. Give r(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a - 32*a + 128*a - 2 - 96*a + 2.\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 713596*y**5 - 477*y**2 - 547?\nAnswer: 42815760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**3 - 93*z**2 + 17*z + 96*z**2 - 10*z**3 - 10*z**3 as n + w*z**2 + i*z + b*z**3 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 39 = -3*f - 26, 3*n - 5*f - 55 = 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3570? (a) 0 (b) -0.4 (c) 13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58065 and 1132?\nAnswer: -65729580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (73\/((-2044)\/(-336)))\/(1\/(2\/68))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25576355.3599813 - 25576351. Let w = j + -4.36. What is w rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6918*h**2 + 6916*h**2 + 1 - 1.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1142 + -20065?\nAnswer: -211a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + y - 2313*y**2 + 11*y**3 + 4*y - 8*y**3 - 5*y**3.\nAnswer: -2*y**3 - 2313*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4975309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*j + 58, 5*j = -3*n + 116 + 30. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -52 + 51 - (-1 - -1 - 187)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 + -6)) + 4 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Suppose -h*t + 11 = -3*t. Let g be 4\/2*-11*-2. Calculate the greatest common factor of g and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) -2\/31 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 583824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 57357944.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5663118 + 4519168817\/798. Let g = k + 2\/133. What is the third biggest value in 5, 1\/3, 0.3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46031 (base 7) in base 8?\nAnswer: 26644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 divided by 94464.\nAnswer: -31\/31488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113664732 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 53. Let l = -21.9015485 - -29.90154. Let o = l + y. What is o rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 6. Let v be g(-8). Suppose 0 = 3*c - o + 1, 4*c + o = v*o. What is the third biggest value in 5, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53*-5)\/(45\/(-12)*(-1608)\/(-1206))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6144 + 12257\/2. What is the common denominator of -79\/984 and t?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/7 or -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 + 163.9975. Let p = -1.1 + 0.1. Let d = z + p. What is d rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, t: 5, p: 3, a: 3, n: 1}. Give prob of picking 1 t, 2 p, and 1 x.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101 - 1020200012?\nAnswer: -1020112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14855, -29698, -44541, -59384, -74227, -89070?\n\"Answer: -14843*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 118419 = -i, -d = -9*i + 6*i - 39473. Suppose 0 = -17*w + 16*w + d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 6 = -h, 0 = 4*k + h - 14. Suppose -n = 3, -k*n + n + 189 = 3*l. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 1949, 4352, 7717, 12050?\nAnswer: 17357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyq when three letters picked without replacement from yqqyqqqyyyyq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-5 + 6 - 0) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*n - 4*r - r, 2*n - 4*r - 14 = 0. Suppose 7 = u + n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 21830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54714197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7143048, -14286094, -21429140?\n\"Answer: -7143046*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -29*l**4\/6 + 44*l**2. Let b(d) = -d. What is b(z(h))?\nAnswer: 116*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -21. Suppose 28 = -5*z - 2*j, a = -4*z - 3*j - 3. List the prime factors of (3\/5)\/(z\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 41*h**2 + 3*h - 123. Calculate k(41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3 - 3)*(-4 + 3 + 7 + (-2 - 1 + 2)*(-1 - 3 + 6)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 155558*q. Let o(a) = 6*a. Calculate z(o(p)).\nAnswer: 36*p**2 + 933348*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 7*w + 10. Let s be g(-5). Solve -z - 5 = 0, s*m - 2*z = 2*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329465 = -6766*p + 157687 for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4234 - -21172\/5. Which is the third smallest value? (a) 3 (b) 1\/2 (c) 1 (d) p (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 + z - 1. Let m be (0 + 2)*15\/(-10). Let j be x(m). Solve -2*b - 6 = -4, u = j*b + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 6509?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/76692 and 93\/14608?\nAnswer: 306768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Suppose -3*v = -0*v + 27. Let w be 14\/(-4)*v\/21. What is the closest to f in 2\/11, 1\/4, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1155067.\nAnswer: 1\/1155067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1377) + -3) - (-3 + 2*sqrt(1377)))**2.\nAnswer: -1080*sqrt(17) + 22257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i. Let d(w) = 2*w**2 - 6. Determine c(d(p)).\nAnswer: 4*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38916*-20.\nAnswer: -7.7832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -23*f. Let q(i) = i**2 - 4*i - 4. Let z(r) = -2*r**2 + 5*r + 5. Let k(l) = 5*q(l) + 4*z(l). What is t(k(j))?\nAnswer: 69*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1962 - -1954. Which is smaller: -81\/10 or g?\nAnswer: -81\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let b(q) = 10*q + 26. Let p(g) = b(g) - 2*y(g). Let j be p(-8). Let o = 18 + j. Is -20 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 597*y + 79397. Determine c(-133).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let q(r) = -3*r. Suppose f - 5 - 2 = 0. Let z be (-12)\/(-8)*(-4)\/(-3). Determine f*w(o) + z*q(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -38*(-1)\/(-2) - (7 - 16)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 7*q**3 + 112*q**2 + 6*q**3.\nAnswer: 2*q**3 + 112*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6280)\/173328 - (-6)\/(-46))*10\/(-1). Factor -10 + 5\/3*s**2 - k*s.\nAnswer: 5*(s - 3)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 19*q + q**2 - 5 - q**3 + 4*q**2 + 4*q**2. Determine l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-2*sqrt(1008) - sqrt(1008)))*-2 - 2*(sqrt(1008) + 1)*-3)**2.\nAnswer: -576*sqrt(7) + 145156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 22 = -6*r + 2, -2*r - 156*c - 4 = -157*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -267*a. Let w(l) be the third derivative of -l**4\/24 + 125*l**2. Calculate w(p(j)).\nAnswer: 267*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5910 + ((-15)\/(-6))\/(2\/(-4)). Suppose -1977 = 8*r - p. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01214 to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + -14116?\nAnswer: -14100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*g + 12. Suppose 3*w - 48 = -5*m, -2*m - 14 = -g*m + 4*w. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 10, 3*r - 669121 = -20*l + 15*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -2267.\nAnswer: -2266.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 7. Let f be r(-9). Let o be (-12)\/(-5) - 1*f. Determine b so that 2*b**3 - 2\/5*b + 4\/5*b**4 - o + 6\/5*b**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(891\/(-27))*1*8\/2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -259 + 264. Suppose 4*h + h + x*o = 35, -2*h - 4*o = -24. Solve h*a = -a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**3 + 2*u**2 + u - 6. Let o(c) be the second derivative of c**5\/20 + c**4\/12 + c**2\/2 - 4*c + 18. Calculate h(q) + 6*o(q).\nAnswer: -q**3 + 8*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:44 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v**3 + 11*v**2 + 11*v + 21. Let y(p) = -8*p**3 + 6*p**2 + 6*p + 11. Give -6*d(s) + 11*y(s).\nAnswer: 2*s**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-74)\/(-4))\/((-14)\/(-728)*-26)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/96 and 79\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p + 24 = -76*p. Suppose 4*f = -2*z + p, -4*z + 5*f = -34 + 12. Solve 4 + z = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 + (-540)\/(-48))\/(10\/16). Solve -t + t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeseseee. Give prob of sequence ess.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 16 = -m - 4*z, 2*m + 5*z = 17. Let p(v) = -2*v**2 - 7*v - 6. What is p(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 6793786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5310\/(-1062))\/(8\/((-48)\/(-30))*2\/(-104))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 5*d = -1377. What is the remainder when d is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m\/(m**(-5)\/m*m))\/m)*m))\/(m\/m**(1\/5))*(m*m*m**(-1\/4)*m)**(-48))\/(((m**(2\/23)\/m)\/m**4)\/(m**(-1\/3)*m*m\/(m**(-3\/7)*m))) assuming m is positive.\nAnswer: m**(-296542\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 - -5.6. Which is the smallest value? (a) -4\/7 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/24 - -239\/264. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 12*y - 16. Let v be b(11). Let m = v + 9. Suppose -4*s - 10 = -o, -5*o = 2*s + 3 - 9. Solve -4*i = -o*d + 10, -6 - 2 = -m*d - 4*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 198. Let c(m) = 20*m**2. Calculate c(g(k)).\nAnswer: 80*k**2 - 15840*k + 784080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27661083971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*n + 3. Let c(q) = -q**2 - 7*q + 2. Let v be c(n). Calculate the greatest common factor of 16 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j, -68*j + 71*j - 4547 = -2*g. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1784 divide 122540156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziiiiziiiiiiz. What is prob of picking 2 i and 1 z?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p. Let b(o) = 448*o. Let u be 2*-1*(-5)\/10. Let y be b(u). Let d(x) = 1 - 3 - 447*x**2 + y*x**2. What is l(d(t))?\nAnswer: -2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 2)*(-34 + 98 - 43) + 3 - 4 + 3)*(6 + 19*d**2 - 35*d**2 + 24*d**2) in the form f*d**2 + p*d + w and give w.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28342 and 1248454.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1222504 divided by -121.\nAnswer: -1222504\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92896577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -634171723?\nAnswer: 634171725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**6\/30 - 3*v**5\/10 + 11*v**3\/3 - 15*v**2\/2 - 21*v + 1. Factor q(h).\nAnswer: -(h - 1)**2*(h + 3)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*h + 20 = 0, g + 3*h - 393 = -398 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -1. Suppose -3 = x - v. Let u = 108 + x. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - m + 5*m)*(15*m + 1207 - 1207 - 504*m) to b + c*m**2 + o*m and give c.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 487*f**2 - 24665*f + 78351.\nAnswer: (f - 533)*(f - 3)*(f + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 7*n**2 - 7*n - 4. Suppose 4*s - 24 = v + v, -s + 20 = 3*v. Determine u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 731263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 19*i**2 + 22*i - 32. Let d be (-1 - (23 + -4))*-1. What is the remainder when c(d) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 806858468 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -0. Suppose -z*s + 118 = i - 8, 5*i = -s + 6. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/12 and (2\/(-45))\/(6\/(-288))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z + 4. Calculate d(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3843005 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*h + 22. Let l be -5 + h + (-14)\/(-2). Suppose 4*n - 2*v - 10 = l, -23 = -3*n - 4*v. Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -262 + 233. Do b and -28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -217.61311 to zero dps.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2051628058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -4*o + o. Suppose -s + o = 4*k, -2*k + s = 18 - 93. What are the prime factors of (-248)\/(-5) + (-24)\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 284677071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3*l*w + 3*d**3*l - 23*d - 41*l*w wrt w?\nAnswer: 2*d**3*l - 41*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.42. Let c = w + -0.2. Let z = -0.15 + c. Round z to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g + 21485 = 2165. Calculate the highest common divisor of 184 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*l**2 - 190020*l - 63344.\nAnswer: 4*(3*l - 15836)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 4. Let k be (-2)\/12*2*33. What are the prime factors of l(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2368 and 73\/2312426?\nAnswer: 73997632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1264 and 135061001.\nAnswer: 135059737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d**2. Let i(o) = -147*o - 81. Let h be i(-7). Let c(f) = 470*f**2 - h*f**2 + 466*f**2. Calculate c(k(z)).\nAnswer: -1200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbzhaoq. What is prob of sequence oq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 361, 898, 1633, 2572, 3721, 5086, 6673?\n\"Answer: l**3 + 93*l**2 + 251*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 6:42 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/(-24)*4\/(-265). Sort t, -0.3, 2\/19 in descending order.\nAnswer: 2\/19, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-8)\/d)*d**(-4\/11)*d**(2\/43)*d**(-1\/3)\/d assuming d is positive.\nAnswer: d**(11848\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*z - 80*z - 5*z - 981 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h + 371 - 377 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 1 + -1 - sqrt(5))*-6 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 38 and 34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (4 + 10 + (8 - (-20 - -42))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:57 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c = 87*c + 32 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 63141 divided by -1619\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 47, 193, 481, 959?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*q + 32, 2*j - 10*q - 28 = -15*q. Suppose 0 = 2*m - 8, -141*f = -139*f + j*m - 14. Is -3\/128 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244669 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = -6*z. Let a be 2\/(-1) - (z + 0). Suppose f + a*f = 5. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 5*d**2 + 24*d - 31. Is l(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/80 and 73\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(52) + -5)**2 + 3*1*sqrt(13) - 5*(-1*sqrt(78)*1 + sqrt(78))\/sqrt(6).\nAnswer: -16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64445782 + 0?\nAnswer: 64445782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291*-708.\nAnswer: -206028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 12. Let m = 4 + d. Is m > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(24)\/((sqrt(12) - -1*sqrt(12))*-4))**2 - ((sqrt(22) + sqrt(154)\/(sqrt(112) - sqrt(7)))\/(-2*sqrt(11)*3))**2.\nAnswer: 665\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 250489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26618040, 26618026, 26618012, 26617998?\n\"Answer: -14*s + 26618054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/60 + n**4\/12 - n**3\/3 + n**2. Let a(w) = -1. Let q(s) = 2*a(s) - j(s). Let q(f) = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*s + 1 + (1 - 3 + 4)*(-2 - 2*s + 2) - s + 6*s + 0*s)*(1 - 9 + 3).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**8\/840 - x**5\/40 - 2*x**3\/3 + 4. Let g(b) be the third derivative of q(b). What is the second derivative of g(z) wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-5))\/((7056\/70)\/24).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -64525.8311 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c = -286 + 1258 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.0068 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w - w - 2*w - 2*w. Let f(t) = t. Determine r(f(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16203135.2 + 0.13.\nAnswer: 16203135.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43 + -15 - 6\/2. Let i = x + -23. Let t(u) = u**2 - 9*u + 10. Let n be t(8). What is the highest common factor of i and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2 - 36\/(-17)). Let x = -2046 - -2057. Let l(s) = -4*s + x + s - b. Determine l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 + 2*p**4 - 4*p**4)*(-2 + 6*p + 3*p + 6*p).\nAnswer: 15*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.6 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1677102*p**3 - 317041*p - 1?\nAnswer: -10062612*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:42 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438270929 by 4.\nAnswer: -438270929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 28*n - 99. Let o be z(-24). Which is the nearest to -3? (a) -1 (b) o (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15724794.\nAnswer: 2, 3, 1231, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30340 + 30340 + 210*f.\nAnswer: 210*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, e: 7, k: 7}. Give prob of picking 2 e and 1 r.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 144*o**3 + o**2 + 35*o - 7. Let y(k) = -48*k**3 - 11*k + 2. Calculate -7*y(n) - 2*z(n).\nAnswer: 48*n**3 - 2*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(100) - sqrt(30))\/((-2*sqrt(60) + sqrt(60))\/sqrt(6)) + 2.\nAnswer: 4*sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n**2 + 16*n + 9. Let g(a) = 5*a + 3. Let c(f) = 7*g(f) - 2*o(f). Give c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175004.5 micrometers to nanometers.\nAnswer: 175004500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*h - 18 = 0, 4*h - 285 = 3*c - 281. What is the closest to -2\/55 in -0.4, 4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 187 = 4*k, 350 = 3*s + 2*s - k. Let r = s - 43. Suppose -62 = -9*i + 6*i + 5*x, -3*i + 4*x = -58. What is the remainder when r is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42499 is divided by 21249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 - 33*n**2 + 2*n - 36. What is j(-11)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = 35*k + 9. Let q be 0*1\/k - (-56)\/(-2). Let n = q + 38. What is the greatest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {q: 1, v: 1, x: 3, y: 1, o: 2, n: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1119655 months in decades?\nAnswer: 0.0175997125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519933515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -17.7 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.1944? (a) 78 (b) -0.5 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 6:23 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = k - 27, 0 = 5*k + 2*j - 20. Let z(q) = q**2 + 3*q + 2. Let i(t) = -6*t**2 - 16*t - 10. Give k*i(r) + 11*z(r).\nAnswer: -r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1 - 2*-1). Suppose o - 4*o = 6. Let x = 87.3 + -87. What is the third biggest value in o, x, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -343 = -343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -12 + 10, 4*s - 8*s - s + 3*u = 93 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p**4 - 1288*p**3 - 2554*p**2 - 1592*p - 318 = 0. Calculate p.\nAnswer: -159, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 - 124. Let k = s + -51.9. What is the closest to k in 2, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -27*t. Suppose -2*s = t, -4*z + s - 266 = -2842. What are the prime factors of z?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9834406 decades?\nAnswer: 0.09834406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4091 - -4091. Let r be (1\/((-3)\/(-9)))\/8. Factor 9\/4*s**3 + o*s + 27\/8*s**4 + 3\/2*s**5 + r*s**2 + 0.\nAnswer: 3*s**2*(s + 1)**2*(4*s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 11:24 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/12 + 10*g**3\/9 - 7*g**2\/6 - 6*g - 1665. Find t such that l(t) = 0.\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/5)*((i\/(i\/(i\/(i\/(i\/(i**(-3)*i)))))*i)\/i)\/i)\/((i\/(i\/i**12))\/(i**(-8\/9)\/i)) assuming i is positive.\nAnswer: i**(-472\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -167. Let s be (-8)\/f + 72\/(-42). What is the smallest value in -1, -31, s?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45904509041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - (-227)\/36 - 2\/(-8). What is the nearest to u in 0.5, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5681455 millilitres?\nAnswer: 0.0005681455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291783 is divided by 2098.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2\/87))\/j)\/j**(1\/38))\/(j\/(j*j**(5\/3))*(j\/j**(2\/63))\/j) assuming j is positive.\nAnswer: j**(114491\/69426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -762*k + 762*k - 57*k**2.\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*0.062\nAnswer: -0.00372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 + 722 - 2*s - 327 + 841.\nAnswer: -2*s + 1383","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 350*w**2 + 4*w. What is the hundreds digit of m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 27 = -15*r + 3*x, 3 = r + 4*x. Let a be (-2 - (-12)\/r)\/(4\/(-6)). Solve -a*q + q = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0493 - 0.9507. What is the nearest to 2 in 3\/2, -7\/5, n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**2 + 4. Suppose -10*h + 7*h = -21. Let z(g) = 18*g**2 + g - 13. Give h*i(w) + 2*z(w).\nAnswer: -6*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b9 + 4?\nAnswer: 3bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + 2*t**2)*(7*t - 10*t - 14 + 1).\nAnswer: -6*t**3 - 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 12:10 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3461, 27925, 94543, 224459, 438817, 758761, 1205435?\nAnswer: 1799983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779801 is divided by 5270?\nAnswer: 5111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 + 8*d + 4. Calculate j(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**3 - 77 + 34*n**3 + 15 + 34*n**3 - 120*n**3 + 25*n**3.\nAnswer: -n**3 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from gkbqk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -445 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -103326090 rounded to the nearest 10000?\nAnswer: -103330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 54*d**3 + 4*d**2 + 7*d + 4. Let i(r) = 52*r**3 + 3*r**2 + 6*r + 3. Let v(g) = -5*i(g) + 4*t(g). What is v(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10218680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:35 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13\/4 (b) 1\/4 (c) -1432365\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1271225*q**3 + 4367*q**2 + 25*q + 6.\nAnswer: -7627350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 2542.9?\nAnswer: 2543.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 25 = 2*a. Suppose 5*i - d = d + 21, -20 = -2*i - 5*d. Are a and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/2 of a decade?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 35*v + 34*v = -154, -4*o = -v - 116. What is the remainder when 138 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 5. Let t = 1 - g. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2872 * -9.4\nAnswer: -2.69968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 20. Let t = 7 + 6. Is y(t) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 485 - 486. Let n(i) = -2*i**2 - 5*i**2 + 2*i**2. Let j(s) = -s**2. Let b(t) = a*n(t) + j(t). Let m(d) = 8*d. What is m(b(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227475612 divided by 78494.\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 99800 = 11*f. List the prime factors of (-2)\/9 + f\/(-72).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/5 != -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hkkbhhbkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.28 (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*-3 + 86. Suppose -m = m + n. Does 4 divide (-4)\/(-8) - m\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/((-3)\/(-1)))\/4)\/((-595)\/17850).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -517979 divided by 10571\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 68. Let x be y(-24). Let q be 25\/(-2)*x\/(-110). Solve -q*d - 8 = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*b**2 - 25*b**2 - 22*b**2 + (0*b - 2*b + 4*b)*(32 - 32 + 13*b))*(3 - 1 + 0).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491.91397 nanoseconds in weeks?\nAnswer: 0.000000000004120228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = s - 2*l, 4*s - 2 = 5*l. Let u(p) = 7*p**2 - 2*p - 7. What is the tens digit of u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 204880775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**(-15)*k)*k)\/k)\/k)\/k**(2\/19)*k**(-2\/13)*k**(2\/39) assuming k is positive.\nAnswer: k**(9479\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-4))\/(216\/(-576)). Let k be 3\/z + 7 + 99\/(-18). Solve 7 = -3*c - k*x, -3*x + 4 = -8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*p = -7, p - 5 = -3*d + 5*p. Let b be (0 - (d + 2)) + 17. Let u(s) = -s - 2. Let t be u(-4). What is the greatest common divisor of t and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p + 1581. Let s be (-2 - p)*12\/18. Suppose 0 = -4*b + d + s, -d = -b + 2*b - 85. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -50 + (-140)\/(-100)*(10 + -5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658597353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*4*5 + (sqrt(19) - (-2 + sqrt(19)))**2*-2 + (sqrt(684) + 0 - (sqrt(1539) + 2)).\nAnswer: -10 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285\/76*(-800)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*k + 19 = 5*a - 357*k, -5*k + 11 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779229803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 3\/5, -1, 14\/25, -3\/7 in decreasing order.\nAnswer: 2, 3\/5, 14\/25, -0.2, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 102 and -61088067.4.\nAnswer: -61087965.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -3081?\nAnswer: -52377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a - 13*a**3 + 2*a**4 - a**2 + 9 + 0*a**2 - 1 + 8*a**5 - 8 - 1 = 0. Calculate a.\nAnswer: -1, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*9*(-12)\/(-3402))\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1832211253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 11808032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(3\/17)*(b**(1\/4)\/b)**(10\/11))**(-4\/13) assuming b is positive.\nAnswer: b**(642\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (305 - 307) + 42 + (-2 - 1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/2)\/(-1))\/(1512\/288)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -30. Let u(z) = z + r*z + 0 - z**2 - 3. Calculate u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227\/10 + -116\/5. Let r = -1\/6 + x. Is -2\/3 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21314748 bigger than -21314748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = -3*a. Let f(d) = -d + 8. Let n = -63 + 67. Let u be f(n). Put -10, u, a in ascending order.\nAnswer: -10, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((41 - -3)\/2 - 7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -928635, -3714545, -8357729, -14858187?\n\"Answer: -928637*k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5886103 * 0.11.\nAnswer: 647471.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -7766.5.\nAnswer: 1553.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 72. Let l(o) be the third derivative of 1\/120*o**6 + q + 0*o + 4*o**2 - 1\/6*o**3 - 1\/15*o**5 + 1\/6*o**4. Determine l(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-4 + 1)\/(-3)). Suppose -30 = -u*l - 2*l. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10763 >= -1618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/10*(-6)\/(2 - 3). What is the nearest to d in -5, -0.08, -0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37441, 74883, 112325, 149767?\n\"Answer: 37442*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1024*q - 125*q + 923*q = 1822 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 7 + 12. Let k = -4 + 17. Calculate the remainder when k is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.440900617 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*q**2 - 123456*q + 123456*q.\nAnswer: 69*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 12 + 4)*(-65 - 26 - 90 - 208)*(b - b**5 - b).\nAnswer: -1945*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = -4*q + 4, 4*n - 4 = -2*q. Let p = 36 + -35. What is the closest to p in 5, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*z**2 + 450*z**2 - 867*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 3*z**2 - 2*z - 5. Give s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 960 = -2*c + 3042, -p + 1 = 0. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 10*h + 1. Determine t(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228 * 5.\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.163 in -1\/5, -2, 6, -2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 23. Let z be f(-9). Do -23 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + x. Suppose 4*l + 11 + 9 = x, -3*l + 57 = 3*j. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 2260*p**2 - 253105*p + 515290.\nAnswer: -5*(p - 2)*(p + 227)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, -53.1, 1, -1\/6 in decreasing order.\nAnswer: 1, 0.4, 0.2, -1\/6, -53.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 + -24. Let a = 884.92 - 714.604. Let q = d - a. Round q to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107.5*-246222\nAnswer: 26468865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 5) to base 4\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 11*p**2 - 8*p + 130. Calculate x(11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let h(i) = 49 - 20 - 27 - 46*i**2. Calculate h(x(y)).\nAnswer: -184*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*u + 1 - 9, -4*u + 24 = -4*h. Suppose -o - 4*r + 2768 = 0, -2439 = 2*o + u*r - 7963. Round o to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b + 96d?\nAnswer: 99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384820, 769594, 1154368, 1539142?\nAnswer: 1923916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-12)\/(-4920))\/((21\/(-4))\/7)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.99 + -1390.99. Let t = 1347.17 + k. Round t to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93618417 minus 17.4?\nAnswer: -93618434.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21456 and 4650?\nAnswer: 16628400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/2 - 1\/2. Let r = 6 + d. Let w = 3 + 3. What is the lowest common multiple of r and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 65?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/41074 and -67\/11202?\nAnswer: 123222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzzv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7695*a - 3*a**2 - 7*a**2 + 7695*a.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 10:55 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -185, -193, -205, -221?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/5 + 222*c**3\/5 - 4806*c**2\/5 + 6730*c - 14280 = 0.\nAnswer: 4, 7, 15, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (45\/60 + 0)\/(2\/(-32))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away 52705.5?\nAnswer: -52705.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 10484\/8119?\nAnswer: 10484\/8119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 10*x - 9*k + 40 = 0, -4*x = -k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72818317*j*n**2 - 209228*j*n + 10*j wrt n?\nAnswer: 145636634*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80451?\nAnswer: 3, 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 27\/45709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/8)*o\/(o\/(o**(-4\/11)*o)*o) assuming o is positive.\nAnswer: o**(1\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 32 = 4*m, -3*m - 5*c + 7*c + 19 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 + 3*w + 3. Let f be ((-6)\/10)\/(((-561)\/(-110))\/17). Determine b(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + 422342?\nAnswer: 423122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let i(l) = -l**2 - 8*l + 2. Let o = 9 + -7. Suppose 7*w = 5*w + o. Calculate w*i(h) - 5*x(h).\nAnswer: -h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7608*j + 3340 + 4268 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -25. Let o(z) = z + 1. Is o(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/19859 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 6*u + 4. Let r be p(5). Let x be (-22)\/143 + (-805)\/91. Let w = r - x. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 2, w: 2}. What is prob of sequence dh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(4\/7))\/g*g)\/g*g)\/g*(g*g**(-5)*g)\/g*(g**(-8)\/g)\/(g\/(g\/(g*g\/(g*g**7)))))**(4\/5) assuming g is positive.\nAnswer: g**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + -2. Let f = -0.4 - c. Let n = 0.005 + -0.405. Sort n, 0.3, f.\nAnswer: n, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 17*i - 25*i. What is the tens digit of 78\/3*(-51)\/i*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16418?\nAnswer: 2, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:56 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8106 = -a - 628 + 711. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-35)*25\/60\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3218529 litres to millilitres.\nAnswer: 321.8529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31001113 (base 4) in base 14?\nAnswer: -15619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0791993084 to five decimal places.\nAnswer: 0.0792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 - 3*h. Let m be j(3). Suppose -2*o + 4*v = -v - 14, m = -2*o - 4*v - 4. Solve -f - o*d = 7, 1 = -f + 2*d + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 688.2 - 1992.1. Let a = -1371 - g. Let d = a + 59. What is d rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0 - -1) + 2)*35\/(-105). Let f be 0\/(-2 + 6) - -1. Let t be (f\/(-2))\/((-9)\/36). Sort t, 1, r, -2 in decreasing order.\nAnswer: t, 1, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3169, -2, 15, 1.\nAnswer: -22, -2, 1, 15, 3169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -28 - (-6 + 12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 21*a**4 - 51*a**2 + 11*a - 54. Let g(p) = 4*p**4 - 10*p**2 + 2*p - 11. Let t(f) = -11*g(f) + 2*y(f). What is the first derivative of t(z) wrt z?\nAnswer: -8*z**3 + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5 + 2973*i**4 + 167115*i**3 + 2273523*i**2 - 668412*i - 9141660 = 0.\nAnswer: -27, -2, 2, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*w**5 - 18*w**3 - 2*w**2 - 176*w - 14.\nAnswer: -180*w**3 - 108*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 5*x + 2*m + 8, -5*x + 15 = -5*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*y + 5*z, 2*z - 6*z = 0. Find the third derivative of -3 - 185*l**y - 8*l**4 + 184*l**6 + 77*l**2 + 3 wrt l.\nAnswer: -120*l**3 - 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012001020 (base 3) in base 15?\nAnswer: 6dc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/19)\/(l\/(l*l\/l**0)))**(17\/2))**(2\/13) assuming l is positive.\nAnswer: l**(289\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 204 = 184 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*3*(0 + sqrt(1700) - sqrt(1700)) - (2*sqrt(1700) + 0 + 3*(sqrt(1700) + 0)))**2 + 5.\nAnswer: 42505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 15) to base 10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 + 101. Suppose j + 0*v = 4*v + k, -2*j = v - 22. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121914492587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10368 is divided by 2396.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1836*z + 12286 - 22260 = 34090 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -136 in descending order.\nAnswer: 1, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 102.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(540)*-1)\/(sqrt(9) - (sqrt(441) - sqrt(441)*1)))\/(-5*(sqrt(12) - sqrt(48)*-3 - (sqrt(24)*2)\/sqrt(2))).\nAnswer: 3*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e8663 + -5?\nAnswer: -e8668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12174733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5365837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 40.9, 2\/21, -0.1, 5, -7, -0.52, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -0.15, -5, 0.1418?\nAnswer: 0.1418","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {m: 4, k: 2, l: 5, r: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/12 - r**3\/6 - 3*r**2\/2 + 6*r. Calculate c(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -697*n - 32. Let m be l(-2). Let i = m + -700. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 + -160. Which is the second biggest value? (a) i (b) 31 (c) -1\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4. Let q = p + 8. Solve 3*m = 3*y + q, -m + 5 = -3*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 14*h + 366 = 0. Suppose h = i + 27. Suppose -5*z - i = -6*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -3, 5, 160, 3 in ascending order.\nAnswer: -7, -5, -3, 3, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11813025 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*m = 94*m - 564. Suppose -90 = 8*b - m. Calculate the greatest common divisor of b and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 53*g + 185. Determine j(22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4184593972.\nAnswer: 2, 13, 19, 4235419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -3\/2*x**2 + 6 + 2*x**3 - 1\/4*x**4 - 5*x. Let y be (4\/6)\/(2\/15). Calculate d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g + 37. Let p be (-7)\/21*9*(3 + -2). What is the remainder when 102 is divided by z(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(t - 2 - 2*t - 23).\nAnswer: t + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 285?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200312 (base 5) in base 15?\nAnswer: 155dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.6174 + 4609.8174. What is v rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a. Suppose 2*m + a = 30. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5415 and 2123041?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 110. Let m be q(-19). What is the highest common divisor of 208 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542035623 a multiple of 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h**2 + 3*h**3 - 2*h**3 - 7*h**3 + 2 + 13*h**2 to the form s*h**3 + o*h**2 + z*h + n and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 4*t - 32. Let w be p(-10). Let s = w - -94. Suppose -8 = -4*r - a - 0, s*r - 4*a - 22 = 0. Solve -4 = -5*v - r*b - 0*b, -4*v = 2*b - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 0.047604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, -3*s = -5*l - 12 - 24. Suppose 41 = s*h - 439. Which is the biggest value? (a) h (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -501142 + (-4 - (-4 - -3)). Suppose 2607 + 828 = 3*z. Let o = z + k. Round o to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.3, 2\/7, -1878.\nAnswer: -1878, -0.3, 2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7147113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*n = -118 + 1476 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 11*k**3 + 0 - 12*k**3 + 0.\nAnswer: -k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*d = -u, d = 4*u - 36. Suppose -6 = -u*t + 5*t. Solve -t*q - 3*c - 4 + 3 = 0, 0 = -4*c - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -97206 - -5?\nAnswer: -97201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1587097 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 divided by -22584?\nAnswer: -169\/22584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*s + s - 17, -2*y + 2 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*-5*(-3)\/45. Which is the nearest to l? (a) 5 (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 97*a + 115*a - 673*a - 836*a + 143*a to i*a + s and give i.\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 3. Suppose -p - 3*i - i - 4 = 0, -4*p - 2*i = 2. Suppose 0 = -2*r + 4*r - v + 4, -r - v + 1 = p. Let u = r + -5. Calculate h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2155203 divided by 50121.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 10:01 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 24*a + 2*a to the form v + u*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 - 35464*g - 78605956 = 0. What is g?\nAnswer: -4433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.85 - -12. Let h = 2.45 + c. Let l = h - 0.6. What is the closest to l in 2, 2\/9, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 3, f: 2, h: 8, u: 2, c: 2}. What is prob of sequence ufuk?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235395567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12994 divided by -180\nAnswer: 6497\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 - 2001012?\nAnswer: -1333331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*x = 3, -2*x = 3*v - 8 + 3. Let f(y) = 44*y**2 + 1. Let r be f(v). Suppose -2*i + r = 3*i. Calculate the smallest common multiple of i and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {h: 4, j: 7, n: 1, e: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030 (base 13) in base 8?\nAnswer: 21173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 10*p = -62, 360*p - 13 = -5*c + 363*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -1096 (c) -4 (d) 5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from {x: 4, h: 3, v: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*c = -10, -3*c + 46 = 5*u + 17. Suppose u*r = -r - 550. Is (1 + r)*(-6 + 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -855172 divided by -1948?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n - 9*n - 10*n - 306*n**2 + 30*n in the form r*n + c + o*n**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1971 and 113953?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1879*s**5 - 3067*s**4 + 2838*s**2 + 1586*s.\nAnswer: 112740*s**2 - 73608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Let w = -0.14 - -0.24. Let r = -29 - -28. What is the closest to w in -2, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3\/3 - 106*u**2\/3 + 398*u\/3 - 98 = 0.\nAnswer: 1, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72641 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -3*x + 6. Let r(k) = 4*k + 1. Let o(h) = -h + 1. Let p(j) = -7*j - 8. Let w(i) = -6*o(i) - p(i). Determine x*w(c) + 7*r(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-50)\/60 - 4\/(-12))*(-8)\/(-5). What is the nearest to -2\/7 in i, 0.05, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(24)\/(1*sqrt(12)).\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Suppose t - j - 1 = -f*t, -j + 15 = 5*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 - x**3 - 5*x**2\/2 - x + 3. Let m be h(-2). What is the second smallest value in -5, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -31, 7, 14 in descending order.\nAnswer: 14, 7, -2, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/3*(-1)\/3. Suppose -4*a = -z*m - 15, -4*m - m - 25 = 4*a. Suppose 18 = -a*s + s. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o**(-1\/4))\/(o**(2\/11)*o*o\/o**(-5))*(o*o\/((o\/((o*o**1)\/o))\/o)*((o**4\/o)\/o)\/o)**(-19\/6) assuming o is positive.\nAnswer: o**(-2323\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616544167 to the power of 1\/3, to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.3, -2, -0.21, -1\/3 in increasing order.\nAnswer: -2, -1\/3, -0.21, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 174 (b) -0.24 (c) -0.1 (d) -4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 85*b**2 + 3 - 1462*b**2 - 1707*b**2.\nAnswer: -3084*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 26 + 27*c - 52 + c**2. Is 13 a factor of b(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138175\/2838 + -2046\/43. Find the common denominator of k and -79\/902.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189192008?\nAnswer: 2, 31, 762871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*f = 1378*f - 265*f + 57706 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -53070 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/42113 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 6*i + 7. Let c be k(-5). Suppose -3*t + 210 = c*t. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.062 and 3162.\nAnswer: 3162.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 2, f: 1, y: 3}. What is prob of sequence ky?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - -6 - (-31 + (-24 + 5 - -52)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 7 = 2*m - 17, -m - h + 6 = 0. Suppose 2*p + q = -m, 3*q + 1 = 2*p + 2*q. Which is the third biggest value? (a) 2\/9 (b) 0.2 (c) 2\/7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27444?\nAnswer: 2, 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.737678307841 minus 23?\nAnswer: -32.737678307841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -655*d - 647794. Determine w(-989).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812670327 to the power of 1\/3, to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-25) - (-116)\/(-10). Let o = s - -20. Solve -2*m = k - 8, 5*k - 7 = -5*m + o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7441 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-14) + (-16)\/56. Suppose f = 4*u - u - a, u - 5*a - 5 = 0. Suppose -3*z - z + 52 = u. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - (-44)\/16)*-36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**8\/240 + 7*u**4\/24 + 7*u**3\/6 - u. Let t(k) be the second derivative of b(k). Differentiate t(d) wrt d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 - 3*g**2 - 59*g\/6 - 7.\nAnswer: -(g + 1)*(g + 3)*(g + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -32*v + 1. Let k be -8 + 5\/(15\/9). Is x(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l - 170054 - 176786 = 0. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-5*sqrt(42)*-2)\/(2*sqrt(216) - (sqrt(54) - sqrt(6))*-3) + -4)**2.\nAnswer: -80*sqrt(7)\/3 + 844\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 29*b. Let m(p) = 14*p. Calculate 4*f(n) - 9*m(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 19240.\nAnswer: 19240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 + 2*w**2 - 3*w**2)*(-114*w + 237 - 9*w - 2307 + 125*w) to k*w**2 + n*w + q + v*w**3 and give k.\nAnswer: 4140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2408\/48 - (-1)\/(-6) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26375 - 2?\nAnswer: 26373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36 - -0.74. Let r = -157 - -155. Which is the second biggest value? (a) i (b) 1 (c) r (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-4 - 64\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28316586.82 rounded to the nearest 10000?\nAnswer: -28320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**4\/4 + 16*q**3\/3 - q**2\/2 - 13*q + 7. Let c be r(-16). Suppose -c*y + 173 + 82 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**2 - 5*s + 13. Let w(u) = 2*u**2 + 2. Let z(g) = -f(g) + 4*w(g). Let a(q) = -2*q**2 + 4*q - 4. Calculate 4*a(p) - 3*z(p).\nAnswer: -2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143.2 + 8.8. Let o = -152.000258 + n. Round o to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*v - 36 + 61 = 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**3 + 6*j**2 + 9*j - 30. What is the remainder when c(4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -428462 + 428462. Suppose j = 5*j - 56. Solve -5*o - j - 11 = a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + g = 3, q - 2*g - 14 = -5*g. Calculate the remainder when 38 is divided by 84\/6 + q + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*sqrt(132) - sqrt(132))*6)\/(sqrt(768) + sqrt(768)*-2) - (2 + (sqrt(44)\/(sqrt(4) - sqrt(64)*-5))**2).\nAnswer: -3*sqrt(11)\/2 - 893\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0394 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 9*d + 48. Suppose 5*b - 15 = 0, 5*z - 3*b + 126 = -b. Let f = d - z. Calculate the remainder when 62 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -370.5 + 365.5. Sort -14\/3, 0.4, z, 2, -3 in increasing order.\nAnswer: z, -14\/3, -3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -2, -19\/159, -0.4?\nAnswer: -19\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + w**3 - 18*w - 3*w + 15*w - 21*w - 2 as z*w**2 + o*w + p + a*w**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 18*w - 23 + 89 - 23*w. Let v be h(12). Solve 0 = -3*z - s + 1 + 5, z - s - v = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 967276 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1459 = 12*c + 1699 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((37\/(-20) + 2)*5). Solve 0 = 11*y - x*y - 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 e, and 1 o when four letters picked without replacement from {o: 10, t: 3, e: 2, k: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665658431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + o + 3)*(8 - 8 - 5*o**3) + (-2 + 1 + 0)*(-3 + 2*o**4 + 3) to the form b + g*o + y*o**3 + t*o**2 + l*o**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21001.652 rounded to the nearest ten?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, l: 13}. What is prob of picking 3 l and 1 o?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-185)\/80808*-21?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.59484 minutes in days?\nAnswer: 0.18582975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6040)\/1510*(2\/(-1))\/(30\/75)*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3915 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 895 divided by 3?\nAnswer: 895\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334820 by -5.\nAnswer: 66964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 102*b**4\/5 + 37022*b**3\/5 + 190470*b**2 - 1028334*b\/5 + 7772 = 0. What is b?\nAnswer: -335, -29, 2\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -2335*l**4\/24 - 1825*l**3\/6 + 2664*l**2. Differentiate w(d) with respect to d.\nAnswer: -2335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*w - 8, 5*l + 3*w - 20 = -0*w. Solve i + 5*p = 20, -2*p + 8 = l*i - 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c = 21*c - 4, 0 = 5*f + 2*c - 48. Suppose -7820848 = -f*a + 13179152. Round a to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**3 - 7*k**2 + 6*k. Let n(t) = -7*t**3 - 6*t**2 + 5*t. Let g(f) = 13*f - 73. Let r be g(6). Determine r*y(z) - 6*n(z).\nAnswer: 2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -8*p + 2*p. Let m = 11 - p. Suppose -h + 784 = m*f, 2*f = -3*h + 2595 - 282. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*(-126)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 6. Determine m(28).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -15 - n + 4*n**2 - 3*n**2 + 15. What is c(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0 - 11*p + 0*p**3 + 0*p**2 + 1\/12*p**4 - 3\/10*p**5. What is the third derivative of t(r) wrt r?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -22*p + 3\/2*p**2 - 31. What are the prime factors of z(21)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**3\/2 + 3*f**2 - 221*f. Let d(i) = i - 10. Let b be 20\/(-6)*(-6)\/4. Let h be d(b). Calculate a(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11514, -11399, -11316, -11277, -11294?\nAnswer: -11379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166695.\nAnswer: 3, 5, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 12\/4)*1\/6. Let x = -27 + 19. Which is the nearest to 2\/7? (a) r (b) x (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20999\/22 - 11 - (0 - (-18)\/12). Solve 0 = k*t - 957*t + 60 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4747 and 906.\nAnswer: -4300782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/288 and (-577)\/192 - 40\/(-16).\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/60 + -1)\/((-1)\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + (3*sqrt(2057))**2 + -1)*4 - (1 + sqrt(2057))*1*-2) + 0.\nAnswer: 66*sqrt(17) + 74050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 5595236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1\/3 + 0*a - 1\/3*a**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 21*p + 32 + 6*p**2 - 19*p in the form v*p**2 + b + d*p and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) -74256 (c) -5\/18 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-8 - (11 - (-1 - -8))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30096 is divided by 2526.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54428 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39971\/88914 - -6\/2117. Find the common denominator of -11\/168 and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855771691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*h - 150*h - 2532. Let w = 422 + h. Solve w = -3*g + 3*u - 18, 15 = 4*u - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41573342 and 130329?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 6*q - 1. Let a be 4 - ((-1 - 1) + -1). What is k(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6 = -26. Suppose -36 = -w - j*m, 4*w + 0*w = 5*m + 44. Let r = -15 + w. Solve r = -5*i - 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 1 + 5 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - a - 1. Let w(l) = -39*l**2 - 87*l - 180*l**2 + 103*l**2 - 41 - 46. What is -87*k(n) + w(n)?\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 27 + 113 = 0. Suppose -z = -6*j + 14. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2)\/(6\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3\/3 + 694*p**2\/3 + 37555*p + 1778700 = 0.\nAnswer: -484, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 23 = -27, 0 = 2*k + 4*b - 154. Calculate the greatest common divisor of k and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2 + 633*h - 1246*h + 621*h - 6. What is s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 58 - 23)*(1 - 3*q + 3*q - 2*q**2).\nAnswer: 44*q**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v - 21 + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2289907484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -29*v + 1. Let y(t) = -12*t + 306. Give i(y(n)).\nAnswer: 348*n - 8873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 1 = h, 2*r - 2 = 2*h. Suppose 0 = 3*a + r*x - 45 + 4, -3*x = 2*a - 24. What is the smallest common multiple of a and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -20 (b) 0.5 (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Suppose -3*b + k = -1. Solve -2*v = -b*x - 7 - 1, -4*v - 5*x - 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0294545197312 - -250.\nAnswer: 249.9705454802688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 6018531.\nAnswer: 6018530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 4*f**2 - 8*f - 6. Suppose -2*s + 0*n + 4*n = -32, -s = 5*n - 9. Let p be 4\/s + 37\/(-7). Calculate the smallest common multiple of 5 and b(p).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09145928 rounded to 3 dps?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1800 = -7*p + 15*p. Is 19 a factor of ((-108)\/(-30))\/((-10)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24259708 by -4.\nAnswer: -6064927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1195*-0.1.\nAnswer: 0.01195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + s - s + 0. Let p be n(1). Let r be 11 - (1 + -1 - 0). Calculate the highest common factor of p and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2166 = -15*n + 2574. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -37\/7 (b) -42 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 146 and -254.3478339.\nAnswer: -108.3478339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63812139 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312042 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/15 + 14*v**4\/15 - 118*v**3\/15 - 98*v**2\/5 + 132*v\/5 = 0.\nAnswer: -11, -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + j + 6739 = 0, -3*i = -j + 2939 - 7994. Suppose -4565 = -3*n + o, -4*n + i = -5*o - 4421. Round n to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*2*(sqrt(200) - (sqrt(200) + sqrt(200)*-2 + sqrt(200) + sqrt(200) + -1))**2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5744 + 5729. Which is bigger: c or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -t + 17, 3*n - 2*t = 2*t - 17. Calculate the remainder when 147\/4 + n\/(-12) is divided by (5\/15)\/((-2)\/(-60)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1851*b - 7231. Determine w(4).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65800000 rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - 10455*s + 3*s**3 + 5215*s + 5214*s)*(-7*s - 9*s + 9*s) to the form b + x*s + p*s**4 + g*s**3 + a*s**2 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-216)*9*16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 21*b**2 + b + 24. Let z be s(-21). Suppose 0 = -8*u + z*u + 5*f - 5, 2*u = 3*f. Is -3*(-1 + -21 + u) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 e when four letters picked without replacement from {e: 6, y: 7}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 112518 divided by 42\nAnswer: 2679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2652 = 22*w - 28*w. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -231 equal to -231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(300) + -2*(sqrt(300) + (sqrt(300) - (sqrt(300) + 2)))**2 - ((sqrt(300)*-3)**2 + 2)).\nAnswer: -360*sqrt(3) + 13240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17115 is divided by 782?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3634297?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5 + 31990026*c**3 - 37484645*c.\nAnswer: 40*c**3 + 191940156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 3956.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l - 141594 = 123436. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -76?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*i**2 - 8*i**2 + 8*i**2 to w + p*i + z*i**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppukbukpmpukkbmkp. What is prob of sequence mb?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 plus -103444?\nAnswer: -103444.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -111, -2, -2\/1603 in ascending order.\nAnswer: -111, -5, -2, -2\/1603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 8*r - 36 = 0. Suppose -5*s - r*b + 950 = 0, 2*b - b = -3*s + 577. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 314211 > 314210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 7, -1376?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 7*a + 3. Let r be f(-7). Is 70 + 4\/((-4)\/r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose 4*g = 2*g + 5*a + 184, -a = v*g - 276. Suppose p = -3*p - 3*x + 184, -2*p = -3*x - g. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 3.5 (c) -3 (d) -0.3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) -25607.8 (c) -0.3 (d) -2\/7 (e) 0.2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2, 6477, -3 in descending order.\nAnswer: 6477, 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*v, 2*a - 4*a + 3*v = -21. Let w be (-2)\/a*60\/(-8). Determine x, given that 1\/2*x**5 + 2*x**4 + 2*x**3 - 1 - w*x - x**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*k + 170*k - 28 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, 214, 691, 1358, 2215, 3262, 4499?\nAnswer: 5926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 29070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*q - 1306 - 512 = 747 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:11 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 292\/(-1 - -5) - -1. Suppose 3*g + 29 = i. Suppose -3*v + 9 = -g. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(33)*4)\/(sqrt(66)\/(sqrt(6) + sqrt(6)*2)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/55 - (148\/(-88) + 1). Put 4\/5, 2, x, 4 in increasing order.\nAnswer: x, 4\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*0.0222.\nAnswer: -0.000222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 21. Find q such that 63 + 88 + 4*q**b - 199 - 52*q = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 17, 7, -7, -25?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**5 + 12*f**5 - 3*f**5 - 156*f**2 + 550*f**2 + 2*f**5 wrt f?\nAnswer: 1380*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20415+-3047\nAnswer: 17368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y**2 + 2*y + 1. Let m(q) = -4*q**2 + q. Let w(t) = 2*t - 12. Let u be w(21). Suppose -6*d - 18 - u = 0. Give d*m(o) + 3*n(o).\nAnswer: -o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302157 is divided by 100049?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -6. Let t(n) = n**3 + 7*n**2 - 10*n + 1. Is t(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**4 + 168*c**3 - 153*c**2 - 672*c + 660 = 0.\nAnswer: -2, 1, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 0 + 0*j**3 + 7\/72*j**4 + j**2 - 1\/180*j**5 + 2*j. Factor l(p).\nAnswer: -p*(p - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Let y(w) = -w**2 + 9*w + 36. Let j be y(-3). Put t, 2, -2, j in descending order.\nAnswer: t, 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1375*s - 101*s - 902*s**2 + 905*s**2.\nAnswer: 3*s**2 + 1274*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.5, -1\/3, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 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: Expand 25*g**5 - 305*g**5 - 129*g**5 + (2*g**3 - g**3 - 3*g**3)*(-2 + 2*g**2 + 2) - 2*g**5 + 2*g**5 - 2*g**5 + g**3 + 2*g**5 - g**3.\nAnswer: -413*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 627659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y + 293 - 295 + y.\nAnswer: -8*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0.12 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**2 - 4*v**4 - 4*v**4 - 4*v**4 + 18*v**2 wrt v.\nAnswer: -288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91 + 76 - 92) + 25.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**2\/2 + 10*h + 8. Let o(c) = -2*c + 1. What is 3*j(v) - o(v)?\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 1\/2 (c) -5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3176899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355025142 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*v = -8, 5*z + 3*v = 2*v + 7. Let w = 575 + -575. Solve w = 4*s - z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154075369 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 291.1474 millilitres?\nAnswer: 0.2911474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/z*z**(-3))**(1\/21) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -41551 times -224\nAnswer: 9307424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2387 divide 20177311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 - 45*d**4 - 10*d**3 + 420*d**2 - 360*d = 0. Calculate d.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735056036 divided by -17928196.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-26))\/((-2)\/1508*29)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1560, 3229, 4898, 6567, 8236?\n\"Answer: 1669*z - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -250, -256, -264, -274?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92166082639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 944134 and 944364 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 7*w + 4. Let u(s) = s**3 - 4*s**2 - s - 3. Let g be u(4). Let k be f(g). Suppose k = l + 2. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 5*d + 0*d)*(-3 + 2 + 2*d**3 + 4) to c + t*d**4 + q*d**3 + z*d + a*d**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -77777 at least as big as -77778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 5*n + 6. What is r(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -57. Solve 4*u + 3*x + x = y, 0 = -u + 5*x - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10)*(-20)\/(-3). Let w be (-3)\/(-12) - 20\/n. Is w < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 156 = 0. Suppose -3*q - 4*h + p = 0, -q = q - 3*h - 46. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240803743.\nAnswer: 12323, 19541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/88*(-3)\/6 - (-15400)\/1694.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:38 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-9 - -3) - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1275.21 and -0.1.\nAnswer: 127.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 at most 154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7 - (2 - 3 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855.667 decades to millennia.\nAnswer: 8.55667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -4 - (-7 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.46566872 - 15832.\nAnswer: -15833.46566872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 16) in base 14?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-4))\/(39\/9 + -4). Solve 3*k - 2*c - 5 = 0, -3*k - d*c + 10*c + 40 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21630016, -21630007, -21629984, -21629941, -21629872, -21629771?\n\"Answer: p**3 + p**2 - p - 21630017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -6*u - n, 0 = 5*u + 1613*n - 1612*n - 112 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*a + 0*a - a - a**2 - 46*a**3 + 45*a**3 as p + j*a + k*a**2 + y*a**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*y + 6. What is the second biggest value in 1\/2, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (10 - 2)*1. Let l = 17 - k. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 25.891 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 1. Let r(k) = -k**2 - k + 1. Let x(v) = 7*v**2 + 14*v - 19. Let b(t) = 6*r(t) + x(t). Let l = 11 - 20. Let i be b(l). What is f(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-18)\/(-12)*(32\/(-6) + 0). Solve -o + 10*r = 6*r + c, o - 2*r + 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3605219 weeks in microseconds?\nAnswer: 218043645120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12992, -12991, -12990, -12989, -12988, -12987?\nAnswer: -12986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680102 and 7854.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710950753.\nAnswer: 710950753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cck when three letters picked without replacement from skznaccczzn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15)*117\/(-13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(6)\/sqrt(2)) + sqrt(48))\/(-1*sqrt(12)\/sqrt(2)) + ((sqrt(40)*2)\/sqrt(5) - sqrt(8) - sqrt(16)\/sqrt(2)*2) + -5)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 257 = -222 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1061*l + 1048*l + 104 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**6\/60 - 3*z**5\/40 - z**4\/24 + z**3\/4 + z**2\/2 + 25*z + 82. Let v(k) be the first derivative of o(k). Factor v(j).\nAnswer: -(j - 1)*(j + 1)**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 69. Suppose 2*u - 525 - 117 = t. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24042, -24064, -24132, -24270, -24502, -24852, -25344, -26002?\nAnswer: -26850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238\/(-441) - 16\/(-144).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l + 227. Let q be m(-47). Let z(p) = p - 4. Let v be z(5). Which is the closest to 2\/9? (a) v (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from zakhnaaznkkhk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 7*p**2 + 8*p - 5. Let o be m(6). Let i = 14 - o. Let a(d) = 1 - 4 - d**2 + 2 + i*d - 3*d. Calculate a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l - 26. Suppose 3*u - 75 + 90 = 0. Let m be v(u). Solve -5*c + 29 = -m*h, -6*c + 4*c + 2*h + 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7704191831 take away -407?\nAnswer: -7704191424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 895 + 278. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4*(-8)\/(-3) + 6998. Is n\/14 - ((-116)\/(-28) - 4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2067 and -99\/650.\nAnswer: 103350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -8*g**7\/21 + 91*g**6\/30 - g**4\/12 + 259*g**2\/2 - 2*g + 949. Find the third derivative of d(q) wrt q.\nAnswer: -960*q**2 + 2184*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 598*u - 5832. Determine m(10).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4455, -4252, -4049?\nAnswer: -3846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030428034 to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + r = 20, -712*u + 714*u + 6*r = 120 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u + 36*u = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/21)\/(((-2835)\/147)\/(-15))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*x = -50*x + 102*x + 5542 + 10646 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -83, 4.\nAnswer: -83, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139*t**4 + 33*t**4 + 55*t**4 + (0*t + 0*t - 3*t)*(-2*t**3 - 1 + 1) + 6*t - t**4 + 2*t**4 - 4*t + 2*t**2.\nAnswer: -44*t**4 + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.8? (a) -6 (b) -1081 (c) -1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 10:11 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/1 - 2) + 43. Let t = 47 + -34. Suppose -4*w + c = -t. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)*((h\/h**(-8))\/h*h)\/h)\/(h**(-10)\/h**(-4)) assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 7. Let c = t - -7. Solve 2*n + 2 = -c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-26738096)\/21) + (-49)\/(-21). What is z rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 0 - (-3 + 3). Let l = 0 + 0. Put l, s, -5 in decreasing order.\nAnswer: s, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7)\/g)**(-17)\/(g**(2\/5))**(-7))\/(((g\/g**(-1\/4))\/g)**(-1\/20)\/((g\/g**(1\/4))\/g)**5) assuming g is positive.\nAnswer: g**(1535\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32497, 33189, 33881, 34573?\n\"Answer: 692*y + 31805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: (-227 - -222) + (12 - (3 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3 + (1 + 0 + 0)*(3 - 2 + 1) - 2 + 2 + 1 - 1 + 2 - 2)*(1 - 1 - v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1254*a**2 - 10*a + 4. Let m be h(2). What is the highest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/6399 - -3641024\/44793. Let s be -5 - 228\/((-3)\/(-1)). Let f = q + s. Which is the closest to -2\/7? (a) -2 (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-225)\/(-6)*7\/(-21)*-6. Solve 18*n + d = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3309.17 to the nearest ten.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 1 = 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 800470 divided by 6.\nAnswer: 400235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -8. What is the greatest common divisor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 10592 (c) -0.02 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + -94. Let s = 0 - -12. Suppose -s = -4*x, j - m = -j + 2*x. Solve v + 5*q = -j, 2*q + 2*q = 2*v - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n. Suppose -761*b = -756*b + 5115. Let y = -1014 - b. Let q(h) be the third derivative of -h**4 - h**2. Calculate y*t(u) - 2*q(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 203192 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310 + 4*f + 165 + 145.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.296 + -3.59. Let s = z - 0.106. Which is the closest to 4? (a) -1 (b) -4\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*i - 33683482 = 71*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - (-114)\/18) + (-10)\/(-6). Let a be (-4)\/((c\/10)\/((-22)\/55)). Let x(p) = -9*p + 3*p**2 - 2*p**2 + 0*p**2 + 9 - 4. Determine x(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + 1 - (-1435 + 1451)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 + -64.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 31*p**4\/4 + 37*p + 10. Differentiate f(h) with respect to h.\nAnswer: 93*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1260104 (base 9) to base 8\nAnswer: -2501536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.710169 minutes?\nAnswer: 522610140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 4*m + 20, -159 - 130 = -3*m - 259 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 5*r**4 - r**4)*(-2*r - r + r + (4 - 4 - r)*(6 - 4 - 1) - r + 0*r + 0*r - r - 2*r + 0*r).\nAnswer: -28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 26*t**2 + 2 - 24*t**2 to j*t**2 + n + f*t and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*y - y + 11 = 0, 0 = m - 3*y - 41. Let p = m + -23. What is the tens digit of p - 447\/(3 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(-270))\/(-7))\/(1\/(-4))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451227.\nAnswer: 3, 7, 21487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7. Let l = 0.04 + 3.96. Let s = -7 + l. Which is the nearest to y? (a) -5 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12211 is divided by 304?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/60 - 4\/15. Let q = 1.19 - 0.45. Let v = q - 1.04. Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 2\/5*l**4 + 0 + 0*l**2 + 4\/15*l**3 + 2\/15*l**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -13*s**5\/10 + 28423*s**4\/5 - 31054308*s**3\/5 - 38257191*s**2\/5 - 14348907*s\/10 = 0.\nAnswer: -1, -3\/13, 0, 2187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*m**3 + 6 - 10*m + 14\/3*m**2 = 0 for m.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.3 + 8. Let i = -21 + 21.7. Let l = i - g. What is the third biggest value in l, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386*j**2 + 75*j?\nAnswer: 772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -188*c**2 - 14*c + 1. Let j(p) = 8*p. Give j(y(n)).\nAnswer: -1504*n**2 - 112*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 24*g - 31. Let r be c(3). Let i(f) = 0*f**2 + r - 27 - f**3 + 16*f + 2*f**2. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6813?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 - 17*d + 17. Is h(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 17*h - 10. What is the remainder when 51 is divided by v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3015 is divided by 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -4. Let n = 2 - -4. Let t be l\/n - (-3)\/18. Which is the third smallest value? (a) 0.3 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 12*l + 0*l)*(11*l**2 + 5*l**2 - 14*l**2) + 3*l**3 - 3*l**3 - 2*l**3.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 5458263 + 2729131 + 2729132.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.12 + -0.22. Let y = c - 0.6. What is the closest to -0.1 in -2\/9, -2\/7, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 3*p**4\/4 + p**3\/3 - 9*p**2\/2 + 26*p. Let f(o) = -4*o**2 - o + 4. Calculate -13*f(r) - 6*q(r).\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0 (c) 131 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*f - 5961 - 3107, -3*p + 3*f = -5460. Let o = p + -10837\/6. Calculate the common denominator of -33\/10 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898155.3 centuries to decades.\nAnswer: 8981553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 730 + -731. Are b and -5\/294 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1834 (base 9) to base 6.\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65408687 from -662.\nAnswer: -65409349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 2*i)*(i**2 + 2*i**2 - 2*i**2) - i**3 - 3*i**3 + 3*i**3 + 4*i**3 + 0*i**3 - 2*i**3 - 42*i**3 - 25*i**3 - 24*i**3.\nAnswer: -92*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 5\/2*q**2 + 5\/3*q**3 - 1\/4*q**4 + 1 + 5*q. Let j be 1\/(-1) + (-4)\/1. Let y(p) = 3*p**2 + 3*p + 3. Calculate j*y(o) + 3*t(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 22. Suppose 2*t = -5*r + v, 0*r + 5*r + 25 = 5*t. What is the second derivative of r*w - 7*w**5 - 7*w**5 + w + 5*w**5 wrt w?\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008611 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5935212 is divided by 3022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70660265\/14 or 2\/9?\nAnswer: -70660265\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/12)\/(-1 - (-38)\/40). Suppose -2*s = -r - 0 + w, -s = -5*r + 66. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from bbsbabsasssbbbssab?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5\/4 + 15*g**4\/4 + 83*g**3\/4 + 209*g**2\/4 + 60*g + 25 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 8:28 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. List the prime factors of 46 - (-2 + 1 + t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 = 2, -8 = j + 4*b. Let k = 65 - j. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/6)\/((-14)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 184 * -0.032\nAnswer: -5.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/60 + b**4\/12 + b**3\/3 + 4*b**2 - 28*b. Let a(q) be the second derivative of c(q). Calculate a(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116485270.\nAnswer: 2, 5, 111648527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let v(j) = j**2 + 29*j - 11. Let c be v(-40). Let x(u) = -2 - 213*u + c*u - 217*u - 3*u**2 + 5*u**2. What is x(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.78 (b) 55 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from aaddauda.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -827034286*j**4 + 3*j**2 - 105815834*j wrt j?\nAnswer: -19848822864*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 22, 0.8, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 814100157 divided by 6509.\nAnswer: 125073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131.47 - -141.5. Let w = a + -10.029999397. Round w to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/12325 and -46\/425.\nAnswer: 12325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 - f - 1. Let b = -18 + 17. Calculate x(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2396 and 0.8.\nAnswer: 2396.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 18) + 84 + -21 + 8 + 2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -m + 2*m + 106, -3*q - m = -98. Let f be ((-2)\/(-6))\/(q\/(-90) + 0). Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*s + 26886, 5*s - 54434 = -3*n - 9632. Is 83 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 693 + 1464 - 715 - b**2 + 0*b as s*b + w + y*b**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 42*u - 3865 - 1035. Calculate the highest common divisor of u and 1950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from yxzlzzxzy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9235 is divided by 287.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6703 * 0.1\nAnswer: -670.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a. Let j(d) = -125*d. Let x(h) = 4*h. Let c(k) = j(k) + 30*x(k). Determine s(c(r)).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = -2*q, -32*z + 34*z = 2. Let b(f) = f**2 - 5*f. Let y be b(4). Sort 0, y, 9, q in ascending order.\nAnswer: y, q, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + ((-6)\/(-3) - 2)\/(-3). Suppose 5*z - 4327 - 4423 = w. Suppose z = 4*o - 1326. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*9\/((-108)\/(-40)). Let h be -2*(-3)\/(-30)*n. Suppose h*m + 86 = 4*m. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-3) + -3 + 106\/16. What is the biggest value in -1\/13, -6, y?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2880014373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-2)*(-17)\/2992*-22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 20 = 16*q. What is the least common multiple of q and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586411813 to the power of 1\/2, to the nearest integer?\nAnswer: 24216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12753552 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1693*s - 1692*s + 1 - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjefjjejj. What is prob of picking 2 e?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y - 158. Let q be m(-11). Let c = -1.2 - -0.2. What is the closest to c in -3, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.44 + 0.04. Let q = t + 3.6. Which is the closest to -1\/3? (a) 3 (b) q (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662323.\nAnswer: 662323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 1 - 10)*(-1 + 3 + 13)*(4*q**3 - 3*q**3 - 5*q**3).\nAnswer: 1620*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50710224013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-559256)\/(-75183) + 1*2\/(-19) + -1 + -3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144929 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 73895 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: Let k be -1*(18\/(-45))\/((-2)\/(-20)). Solve 0 = -3*n + 7*n - k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - -28) + (27 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 172\/22 - 16\/(-88).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/y*y\/(y*y\/y**(-3\/8))*y**0\/y**(-1\/8))\/((y**(-3\/7)\/y)\/(y**(-2\/27)*y))**(-29) assuming y is positive.\nAnswer: y**(-49541\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11591*m = -11394*m + 8274 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9170\/175 + (4\/(-10))\/1. Let w = b + 40. Suppose -4*g - 6 + 82 = 0. Calculate the remainder when w is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let b(h) be the third derivative of -h**7\/2520 - 3*h**4\/4 + h**2. Let y(q) be the second derivative of b(q). Calculate y(o(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let m(o) be the first derivative of -8*o**3\/3 + o**2\/2 + 19. Determine m(f(k)).\nAnswer: -32*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -d4d?\nAnswer: d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -62*o**2 - 12*o + 1. Let f(w) = -124*w**2 - 26*w + 2. Determine -6*f(l) + 13*j(l).\nAnswer: -62*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - -30. Let v be (2167\/r - (-2)\/(-8)) + -1. Let y = v - 46. Solve -y*q + 8 = 4*f, 0 = -4*q + f + 13 + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 9*o - 35. Determine x(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/537 and -115\/1465278.\nAnswer: 262284762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*-1*(-34)\/(-4). Let j = w - -144. Suppose 0 = 4*d - 2*x - j, d + 2*x = -3*d + 60. Solve y + 4*y + d = -3*t, 3*y - t = -13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/8)\/(2\/32). Let m = u + -34. Let p(l) = 0 - l**2 - m + 4 - 4*l. Give p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 32274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 7) to base 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(176)*-2 + 3*sqrt(11)*-2 + 2)**2.\nAnswer: 84*sqrt(11) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59261 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -783*b - 3136. Calculate y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 59 (b) 1\/5 (c) -2.864 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 26*y**3 - 65 + 121.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0344 times 1004617?\nAnswer: 34558.8248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(700))\/(sqrt(36) - (sqrt(144) + sqrt(36))).\nAnswer: -4 + 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -72616*n - 40882803. Determine c(-563).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 44\/5 of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (1 - (-3 + 4)). Let g be (1\/q*6)\/(-8). Which is the third biggest value? (a) 1 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 216 - 252 = 0. Suppose -2*t - 21 = -3*b, -2*t - b - c = -2. Sort t, -5, 0, -2 in ascending order.\nAnswer: -5, t, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30045 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 12*v**2 + 17*v - 19. Calculate the remainder when 514 is divided by o(11).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/5 of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u - 9. Let n(p) = 2*p + 3. What is -2*i(k) - n(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 18. Is 16 a factor of v\/(2\/((-12)\/9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010010001101000101000 (base 2) in base 15?\nAnswer: -bc73d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2570431 + -4359569. Round s to the nearest one hundred thousand.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 times -0.1421\nAnswer: -7.8155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**8\/1344 + b**6\/48 + b**5\/12 - 5*b**4\/2 - 70*b**2. Let h(j) be the second derivative of k(j). Factor h(o).\nAnswer: -5*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 - 7*g**2 - 9*g + 7. Let a = -35 - -31. Let w(k) = 2*k**3 + 4*k**2 + 5*k - 4. Calculate a*m(d) - 7*w(d).\nAnswer: -2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 + -131. Suppose -5*k - 5*n - 260 = -3*n, -3*k - 3*n - 147 = 0. Let m = r + k. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((8\/(-10))\/(-1))\/(214\/35525605) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1111010111001110101000?\nAnswer: -1111010111001110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 13) to base 4.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/2)*k)**(-5\/3)*(k**0)**(-17) assuming k is positive.\nAnswer: k**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -3093052.\nAnswer: -1\/1546526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 28249609*d**2. Let x(s) = s + 9. What is x(r(o))?\nAnswer: 28249609*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 9, 269547 = 26*u - 30*u - 5*p. What is the thousands digit of 4\/(-7) + u\/(-63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 105*g**3 + 7*g**2 - 3*g + 8. Let a(q) = 420*q**3 + 30*q**2 - 11*q + 31. Let n(w) = -2*a(w) + 9*z(w). Is n(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*f**4 - 17*f**2 + 3*f**4 - 66*f**3 + 1 - 11*f**4 + 49*f**4 to the form q*f**3 + r + p*f**2 + s*f + z*f**4 and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -119 and -666.\nAnswer: 79254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02158 minus -0.14?\nAnswer: 0.11842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t - 114. Let m(h) = -h**2 - 34*h - 23. Let c be m(-34). Let k be o(c). Solve -r + 8 = 3*n, 4*n = 17 - k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1317735 + 1317735 - 28*t**2.\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13586686.\nAnswer: 2, 6793343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67915*l**2*r**2 - 2*l**2 - 1356*l*r + 61*r**2 wrt l.\nAnswer: 135830*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -23. Suppose -4*z = -3*u + 19, 4 = 3*u + 4*z - 7. Calculate the remainder when s is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-48))\/(0 + (-1)\/(-3)). Let n = -16.88 + 16.8. Put n, -0.2, j in ascending order.\nAnswer: j, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i. Let x(z) = z**3 + 4*z**2 + 3*z - 1. Let d(v) = v - 3. Let y be d(0). Let s be x(y). Sort 2, i, s.\nAnswer: s, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 6:25 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + p + 29. What is the units digit of s(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 2565?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18*-9)\/((-21)\/14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 15) in base 5?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77750669*k**3*l**2 + 2*k**3 - 1761*k**2*l + 177*k + 3*l wrt l.\nAnswer: 155501338*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/(-42570))\/((-30)\/(-45) - ((-440)\/(-75))\/8)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -8*s + 5*s, -5*x - 2*s - 10 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/19 + 8\/95. What is the nearest to -2 in c, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 108?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 9*t - 186. What is the remainder when 294 is divided by b(-20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8453.9 - -8453. Which is the third smallest value? (a) y (b) -3\/2 (c) -4 (d) -264\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 124*c**2 - 10*c - 13. Is g(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035246964?\nAnswer: 2, 258811741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 251*y**3 - 7*y**2 - 7*y + 356. Let u(i) = 65 - 176*i**3 - 89 + 4*i - 154 + 51*i**3 + 4*i**2. Let h(o) = -4*p(o) - 7*u(o). Differentiate h(c) wrt c.\nAnswer: -387*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -268 - -568?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*v - 46, 2*b + 2*v = 4*b + 16. Let i = b - -7. Let p = 26 - i. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1010000011101111010?\nAnswer: 1010000011101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 207 = -l, -3*l + 4*g = l - 804. Calculate the remainder when l is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:35 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9079 microseconds to milliseconds.\nAnswer: 0.0019079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(0 + sqrt(425)) + sqrt(425))**2 + (sqrt(425) - (1 + sqrt(425))*-6 - sqrt(425))**2) + -5.\nAnswer: 2160*sqrt(17) + 132811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 104821*l**2\/3 - 2747436935*l\/3 + 30209124275\/3.\nAnswer: -(l - 52405)**2*(l - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rru when three letters picked without replacement from {u: 5, r: 2, w: 6}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = -5*i + w, -i + 1 = w. Suppose -7*b = -10*b. Let l(p) = p**2 + 7*p - 336. Let r be l(15). Sort r, b, i.\nAnswer: r, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7.9609761 hours?\nAnswer: 0.0473867625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + 1)\/((3 - (6 - 4))*(38 + -29)). What is s in -1\/3*s**2 + 0 + j*s = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Sort a, -0.1, -2\/9.\nAnswer: -2\/9, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 15 - 5 = -t, -4*p = -4*t + 32 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 6*x**2 + 7*x + 2. Let k be r(7). Let l be (-8)\/28 - k\/(-7). Suppose -5*y + 5*p + 40 = l, 46 = 4*y + 3*p - 21. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 2*l + 0*l + l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*o**3*w**4 + o**3*w - 26*o*w**2 + 3*w**4 + 2*w**3 wrt w?\nAnswer: 360*o**3*w + 72*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 o, 1 z, and 1 n when four letters picked without replacement from cwczonooqcncwocccczz?\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9013654000 rounded to the nearest one million?\nAnswer: -9014000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*3*sqrt(84)*-2)\/(3*(-3*sqrt(36)\/sqrt(3) - sqrt(12) - sqrt(12))).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, p: 5, r: 4}. Give prob of picking 1 y and 1 r.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 8893 and -0.6901.\nAnswer: 8892.3099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (131 - 117) + -35 + 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 + 4*g**3\/3 - g**2 + 17*g. Give f(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 4c5?\nAnswer: 4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 110, 18, 2, 1 in descending order.\nAnswer: 110, 18, 2, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxk when three letters picked without replacement from {g: 1, p: 1, z: 2, k: 1, x: 1, v: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2899*q - 17384. Determine k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110380 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 10:25 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*c**3 + 1 - 41*c**3 + 0 + (-c + 0 - 5 + 3)*(-1310*c + 1310*c - 15*c**2) to the form y*c**2 + a + s*c + g*c**3 and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/2)*n)\/n**(-2)*n*n\/n**(2\/11)*n\/(n*n**(-1)*n)*(n**(5\/3)*n**(2\/13))**(-18) assuming n is positive.\nAnswer: n**(-7279\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150.14 * 5.\nAnswer: 750.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Suppose -x*d + d = 0. What is the second biggest value in d, 4, -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2288, 5635 in descending order.\nAnswer: 5635, 0.2288, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpfm when four letters picked without replacement from {l: 2, m: 2, f: 1, g: 4, d: 3, p: 2}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 607 - -3?\nAnswer: 60a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/180)\/(1\/10)*(-414)\/184?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 545*h**4\/8 - 715*h**3\/3 - 4*h**2 + 16*h. What is the derivative of g(u) wrt u?\nAnswer: 1635","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1139\/54 + -532\/27. Let o = 498953045\/6243 - 79922. Let s = o + 47869\/37458. What is the common denominator of s and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 4 (b) 0.09 (c) -12 (d) 0 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-46 + 64 - 30) + (0 + -2 - 19)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -11*t + 7*t - 19, 5*x + 4*t - 71 = 0. Solve -5*c = a + a - 21, 4*a = -c + x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. Let x be z\/(-4)*6*2. Is ((-4)\/x)\/(2\/(-1113)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/744 and 35\/344.\nAnswer: 31992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484)\/(sqrt(77)\/sqrt(7)))\/((sqrt(44)*-3)\/sqrt(11)) + (sqrt(704)*2*5 - 3*(-2 + sqrt(704)))**2.\nAnswer: 2015*sqrt(11)\/3 + 34532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*b**2 - 7515 - 1214*b**2 + 603*b**2 + 15029 - 7520.\nAnswer: -b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3 = y, -y - 3*f + 7 = 14. Suppose y*m = -5*g, 4*g + 15 = -m + 2*m. Find the second derivative of -112*o**m + 7*o**5 + 112*o**3 + 6*o wrt o.\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 330 - 254 - 7*z - 72 as g*z + s and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1579 - 1481. Calculate the smallest common multiple of v and 22.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 17*n**2 - 2*n + 39. Let f be x(17). Suppose -4*y = -3*p + 32, 0 = 8*p - f*p - 3*y - 33. Solve 2*t + 5*u - p = 0, -u + 1 = -5*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7804, -15603, -23400, -31195, -38988?\n\"Answer: z**2 - 7802*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q + 26. Calculate p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 6 + 2. Let k = i - 1. Let d(w) = -w - 2*w**2 - 2 + w**2 - k. Give d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7524, 13493, 19460, 25425, 31388, 37349?\n\"Answer: -f**2 + 5972*f + 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -156996\/40981 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7443*r - 272910. Let f(w) = -w - 22. What is b(u) - 12405*f(u)?\nAnswer: 4962*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-39)\/(-6)*16 + 3 + 3.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + j - 2 + 2*j - 1 - j + 2 + (0 + 1 + 1)*(-3 + 3 + 2*j).\nAnswer: 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:35 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 315 = -5*a, -s - 8 + 71 = a. Suppose 2*l - 92 = -4*c - 2*l, c - 2*l - 17 = 0. Calculate the highest common divisor of s and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -22. Let z(q) = q**3 + 3*q**2 - 9*q - 7. Let j be z(-6). Let x be j\/v - 16\/56. Which is bigger: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 3*f**2 - f + 2. Let o be i(2). Suppose -4*c = 3*j - 38, 3 = -o*c + 5*j + 25. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455 - 286. Let p = 170.175 - y. Round p to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522 (base 15) to base 10\nAnswer: -1157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 11*z + 23. Give x(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**3*y**2*z**2 + d**3*y + d**2*z**2 - 2*d*y*z - 18*y**2*z**2 wrt y?\nAnswer: -16*d**3*z**2 - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -1\/3*f**3 + 2\/27*f**4 - 3*f + 0 + 2\/9*f**2. Suppose n(q) = 0. What is q?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 44, 1\/3, 36\/7, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 74. Let i = h + 18. Suppose -i*m + 4*m - 105 = -d, -4*d = -4*m - 444. What are the prime factors of d?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9060*v**3 + 59186*v wrt v?\nAnswer: -54360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20379 - 108*d - 20379)*(-3 - 3 + 5).\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.822 + 0.178. Let o = 7 + -8. Let z = 21.5 - 21. Which is the second biggest value? (a) o (b) z (c) t (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 846*k + 4813. Is x(41) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1744 divide 1346873760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2735*h*n**3*o**3 + 3*h*n**2*o**3 - 861*h*n**2*o**2 + 52*h*o**2 - 3*n**3*o**3 + 4*n**3*o - n wrt n.\nAnswer: 16410*h*o**3 - 18*o**3 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5040 and 521073?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 684, 648, 592, 510, 396?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 41*y. Let c(i) = -82*i. Let x = -218 - -225. Let b(z) = x*k(z) + 3*c(z). Let p(a) = 2*a**2. Determine p(b(o)).\nAnswer: 3362*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069179938795 plus 27?\nAnswer: 1069179938822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 394260, 394271, 394282, 394293, 394304?\n\"Answer: 11*x + 394249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 10 - 2. Let c be (-42)\/(-18) - (65\/15 - 4). Let n be 15\/10*(-4)\/3. Put x, n, c in ascending order.\nAnswer: n, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 753*l + 881.\nAnswer: 753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20243444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.2883, 0.5, -2\/7, -2, 57?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, 2\/87, 1, 3581?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27971455141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 20. Let z(k) = -k**2 + 6*k - 2. Let q(a) = a**2 - a - 1. What is the lowest common multiple of z(l) and q(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 2 - 0)\/(-2). Suppose 2*q + 2*y = 60, 0 = -y - 4 + h. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -188*m. Let d(h) = 5*h**2. Give g(d(j)).\nAnswer: -940*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 2. Let w(d) = d**2 - 2*d - 30. Let g(s) = -u(s) - w(s). Calculate g(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8\/(-48) + (-211)\/(-6) and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6144843 - -5244985. Suppose -5*q + m - 75389848 = 0. Let z be 2\/(-5) - q\/10. What is z rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 137*o**3 - 2*o**2 + 4. Let z(g) = -84392*g**3 + 1233*g**2 - 2466. What is -2466*d(r) - 4*z(r)?\nAnswer: -274*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.428 minus -5?\nAnswer: 8.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-15)\/w*w)\/w)\/((w*(w**(-11)*w)\/w)\/w)*(w*w*w*w*w*w\/w**(5\/7))**(-10\/7))**(-2\/13) assuming w is positive.\nAnswer: w**(1230\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 542*y - 1316*y - 1288*y in the form n*y + s and give n.\nAnswer: -2062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*j - 22. Let z = -1001 - -976. Let r = j - z. Solve c + c + r*t + 16 = 0, -3*t - 20 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = -6057 + 16461. Let u = y - 558. What is the highest common factor of u and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/120 - 11*b**5\/60 - 5*b**4\/12 + 13*b**3\/6 - 4*b**2. What is the tens digit of a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00131619656 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 3*s - 4. Let q be k(0). List the prime factors of 135\/q*(16 - 20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(4*(sqrt(704) + 5 + (sqrt(704) - 1*sqrt(704)) + sqrt(704)) + (sqrt(704) + 1 + sqrt(704) + -4 + sqrt(704))*1))**2.\nAnswer: 26928*sqrt(11) + 769257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/3)\/(112\/(-168))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0945 (b) -27 (c) 4 (d) -0.1 (e) -6\/5 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 12*k = -3*y + 195, 5*y - k = 297. What is the lowest common multiple of y and 175?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -163956 - 3?\nAnswer: -163959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*j = 2*p + 10, p = j + 4. Suppose -3*y**p + 3*y**4 + 44*y**3 - 44*y**3 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/519 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 4*u - 10, -15*u - 20 = 4*p - 10*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 221303?\nAnswer: 221300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 1, h: 4}. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 2*v**6\/15 - 33*v**5\/20 - 173*v**4\/6 - 590*v. What is the third derivative of t(c) wrt c?\nAnswer: 96*c - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 6*t - 3. Let r = 324 + -314. Suppose -d = -2*v + d + 4, -2*d - r = 0. Calculate z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15176 = 33*i - 31354. Is 47 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 10*k**2 + 6*k - 10. Let n(x) = -x**3 + 6*x**2 - 6*x - 6. Let w be n(5). Does 15 divide d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 4*a + 12. Let s be z(6). What is the remainder when (-4152)\/s - 4\/(-7) is divided by -7 + 6\/14 + (-7097)\/(-329)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201211221 - 0?\nAnswer: -11201211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60365 + 70?\nAnswer: -60275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15208, 61098, 137686, 244978, 382980, 551698, 751138?\nAnswer: 981306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:23 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9520 by -3.\nAnswer: 9520\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6733*p - 400. Determine c(0).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33993293 and 5284.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/720 + a**5\/80 + a**4\/12 + 19*a**3\/6 - 3*a**2 - 7*a. Let w(p) be the first derivative of m(p). Factor w(u).\nAnswer: -(u - 4)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111 - 11?\nAnswer: 10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3, 9 in ascending order.\nAnswer: 3, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 703139*z\/4 + 45687135.\nAnswer: (z - 702879)*(z - 260)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**2\/2 - 5. Let b be n(2). Let c be -1 + -1*1\/(-2). What is the closest to -2\/5 in c, b, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.764 + 0.056. Let b = g - 1.65. Let y = b + -1.17000019. Round y to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -12\/5, -1\/4?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109933953.\nAnswer: 3, 349, 104999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 691*r + 2156. Is g(51) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1659 + 1693 + (-1 - 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3844387*h**4 - 3528066?\nAnswer: -15377548*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-1 - -1)) + -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 - (-96)\/40. Suppose -4*y + p*a + 17 = 3*a, -3*y - 3*a = -15. Let m(t) = -t + 5. Give m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 129. Let k(f) = s*f - 32*f - 24 - 25*f - 18*f. Is k(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**2 + 3*c - 178 + c**2 + 176 as u*c + x + p*c**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 20100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5528 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 900405*g**3 + 3*g - 900401*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1)*5*-1.\nAnswer: -5*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93336922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + d - 2. Let y(x) = x**2 + 1. What is -s(f) - 3*y(f)?\nAnswer: 2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 + -165. Let f = 4.3 + -4. Let r = -0.6 + f. Sort x, 0.2, r, 0.1 in increasing order.\nAnswer: x, r, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21316 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*s + 4, 5*i = -4*s - 6 - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 467849787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*y - v + 24, -5*v = -y + 24. Suppose 0 = -2*k + x + 147, k + 4*x + 304 = 5*k. What is the remainder when k is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402624 is divided by 3728.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2163*r + 404*r + 75637 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5853737 and 0.21?\nAnswer: 5853737.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 186?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {a: 2, d: 2, v: 2, p: 5, n: 1, z: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 less than 519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.205 plus -141.775625?\nAnswer: -141.980625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/8 and -3\/236315632?\nAnswer: 236315632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.513 times 1.25?\nAnswer: 0.64125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064660 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7992\/24 - -2*2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:38 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by -52?\nAnswer: -97\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8 - 43 - 6*f - 4*f + 11*f + f**2 - 2*f. Calculate the remainder when i(-10) is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 7. Suppose -2*u + 5*r - r = -32, -3*r + 66 = 3*u. Suppose -u = -2*x - 10. Which is the smallest value? (a) -1\/5 (b) 0.06 (c) l (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v, 1141 = u + 3*v + v. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 242 = -154. Let v(w) = 3*w + 54. Let l be v(b). Solve 2*g + u = 2*u + 1, l = -g + 3*u - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*g + 10, 0 = -5*t - g - 4*g. Suppose 4*y + t*y = y. Let s be (2 + -8)*(y - 3\/45). Put s, -5, 5\/3 in descending order.\nAnswer: 5\/3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Let z(t) = -4*t**2 - 1146*t. Give c(z(d)).\nAnswer: -12*d**2 - 3438*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78\/7? (a) 10 (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130944937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13737, 23, 3, 14 in descending order.\nAnswer: 23, 14, 3, -13737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 50. Let k = -293 + 298. Suppose 0 = -0*x + k*x - b. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 854*j + 5982. Let u be s(-7). Put 0, u, -38 in decreasing order.\nAnswer: u, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 139*w**2 - 2*w - 140*w**2 + 281*w**2 to v*w + z*w**2 + g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - -91?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - o + 5 = 4*d, -5*o = -4*d + 13. Let f be -1*(30 - 0 - 0). Let j = f + 36. Solve 4*q + 58 - 18 = -5*w, d*q - w = -j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v = 4 + 38 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 21 + 116*q**3 - 7 - 67*q**3 - 57*q**3.\nAnswer: -8*q**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (20 - -1) - (58 + -13 + 19)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 4*b + 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 21 = 3*w, 8*l + 5*w = 12*l - 71 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1\/6, -0.4, 0.17, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) + 1 + 4 + (0 + sqrt(500) - sqrt(5)) - ((sqrt(5) + sqrt(45)\/(sqrt(9)*2) - 1*sqrt(45)) + -2)))**2.\nAnswer: 4025*sqrt(5) + 71025\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -18*p + 32. What is the greatest common factor of p and 963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -659, -748, -863, -998, -1147, -1304?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-7 - (-3 + 0 + 4)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dopxetdpo. What is prob of picking 1 o and 1 x?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 1, g: 4}. Give prob of picking 2 g and 1 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*q = -4*g + 63, -42 = -g - q. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 2, s: 4, o: 1, j: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3135\/4*o**2 - 5\/2*o**3 - 61230*o + 123245\/4 = 0.\nAnswer: -157, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2067.82*0.3.\nAnswer: -620.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z**2 - 28*z + 85. Is v(9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8 + 11 - 2891*x**2 - 24 + 2887*x**2. Let d(o) = -13*o**2. Calculate d(r(f)).\nAnswer: -208*f**4 - 2184*f**2 - 5733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (8 - 4) + -6 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {k: 2, m: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/14)\/(4\/14). Suppose -4 = x*t, 8*t - 3*t = -u + 6. Suppose 3*c - u = j + 51, -2*c + 5*j = -23. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + 7*n**2. Let k(j) = -2*j**3 + 6*j**2. Let u(m) = -5*c(m) + 6*k(m). Let z be u(-1). Suppose -6*w + 21 = -z*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -16. Solve 0 = 2*m + m + 3*c - 21, 3 = -3*m + b*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + 22?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 0*p - 2*p - 7*p. Suppose -34 = 10*i + 16. Let n be u(i). Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*z + 566 + 490, -z - 2 = 0. What are the prime factors of c?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o - 5. Let d(n) = -3*n - 3. Let g be d(o). Suppose -l = g*l. What is l rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-6))\/(5\/10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4467967 years to millennia.\nAnswer: 0.0004467967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 - 437 - (-2 - 34)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 42*j**2 - 7*j + 9. Let i be a(2). Let v = i + 733. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspasssanspa. What is prob of sequence as?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/9)\/(8\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g - 20. Suppose -58 = 13*d - 162. Let b be 0\/(d - 8 - -3). Determine p(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + 4*f)*(6 - 1 - 3)*(-1 - 1 + 0 + (3 + 2 - 4)*(2 + 4 - 5)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(sqrt(242) + sqrt(242)*-1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 1, x: 1, h: 2}. What is prob of sequence xdhh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3693 rounded to two dps?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5.9, 3, -1, -44?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphpxxhx. What is prob of picking 1 x and 1 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = f, f - 11 = 8*q - 12*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14544.0069894 - 14544. What is u rounded to 5 decimal places?\nAnswer: 0.00699","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -48, -527, 0, -5, -6, -1 in decreasing order.\nAnswer: 0, -1, -2, -5, -6, -48, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129 + 47 - 179 - 330*v)*(-5*v**3 + 2*v**3 + 5*v**3).\nAnswer: -660*v**4 - 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 30558 = k, -6485 = 2*j - k + 5734. Let q be 14\/(-49) + (-1802)\/j. Let z = -67301\/8730 + q. Find the common denominator of z and 21\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211313541 is divided by 689.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 - (-41 + 40).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1379*t**2 + 1259477*t - 1259477*t to g*t + r*t**2 + w and give r.\nAnswer: -1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 326922*w + 326922*w + 213*w**2.\nAnswer: 213*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**18*a*a\/a**(3\/8))\/(a\/(a\/((a**(-20)\/a)\/a))*a*a*a\/a**(-13\/6)*a) assuming a is positive.\nAnswer: a**(11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40448967?\nAnswer: 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*j - 5 = -5*t + 232*j + 8, 5*j = 3*t - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 - 120. Let g be (d + 149)*(2\/(-2) - -2). Let l = g + -64. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66601 or -66600?\nAnswer: -66601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2*l + 2. Let t be h(3). Let c = -5 - -7. Suppose -c*n + 4 = -2. Sort t, n, 4.\nAnswer: n, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12165, 7193, 2223, -2745?\n\"Answer: f**2 - 4975*f + 17139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-73549)\/30 + (-14)\/70. Let n = r + 2444. What is the common denominator of n and -89\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62.5 - -57.5. Let d be (-1 + 3)\/((-2)\/(-6)). Let y = d - 21\/4. What is the nearest to -0.4 in 2, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 107, 267, 523, 893?\n\"Answer: 3*o**3 + 21*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, x: 1, t: 2, a: 4}. Give prob of sequence jt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-8\/3)\/i*i*i)\/i)**18*(i**(-11))**(10\/3) assuming i is positive.\nAnswer: i**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 6, o: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 240*t - 4. Let o(u) = -719*u + 10. Give 3*o(d) + 8*y(d).\nAnswer: -237*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50035944 and 2016?\nAnswer: 600431328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 72552080970 to the nearest one million.\nAnswer: 72552000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1180298541*o**3 - 2*o**2 + 357222238.\nAnswer: 7081791246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {s: 13, b: 3, h: 2, l: 1}.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 6*x**2 + 2*x - 6. Let f be t(6). Is f smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37403833 and 5515?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 10. Let w = 13 + v. Determine y, given that -21*y**3 + 6*y**4 - w*y**5 + y**2 - 7*y**2 + 30*y**5 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 565*q**3 - 102 - 2422*q + 102 - 569*q**3 to the form t*q + k*q**2 + a*q**3 + c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.390253t to kilograms.\nAnswer: 390.253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p. Let l(x) = x**2 + 3*x - 1. Let q(m) = 2*d(m) + l(m). Let f be 173\/(-346)*1*(-3 - -1). Determine q(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7657, -15228, -22713, -30112, -37425, -44652?\n\"Answer: 43*i**2 - 7700*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -20. Let s = -0.04888 - -24.04888. What is the second biggest value in s, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*w + 21 - 21.\nAnswer: -81*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2172*t - 5072. What is the least common multiple of y(3) and 1368?\nAnswer: 25992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -3*p - 136. Let i = 1 + 1. Suppose 3*l - 2*c = 72, -i*l + p = -l - 4*c. Calculate the lowest common multiple of 12 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j\/j**0))\/j*j)\/j**3*j**16*j**23\/j assuming j is positive.\nAnswer: j**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63595, 254306, 572149, 1017118, 1589207, 2288410, 3114721, 4068134?\nAnswer: 5148643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 13517 (base 10) in base 7?\nAnswer: 54260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y - 4*u, 0 = -5*y - 2*u. Suppose 20 = 5*t - 395. Suppose t = -r + 78. What is the closest to y in -1\/6, r, 2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 1290, 2681, 4572, 6963?\nAnswer: 9854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5640)\/18330*39\/(-522).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1653338 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -617*l + 8739. Let n(r) = 2*r**2. Give p(n(k)).\nAnswer: -1234*k**2 + 8739","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*j**5 - 4*j**4 + j**3 + 48*j**2 - j - 8045 wrt j.\nAnswer: -300*j**3 - 48*j**2 + 6*j + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 - 2*x - 2. Let i = -1 - 1. Is 9 a factor of y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 54. Suppose 0 = h*d - 12, -4*n - n + 3*d = -23. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/5 - 151*b**3\/5 + 738*b**2\/5 - 1172*b\/5 + 584\/5 = 0. What is b?\nAnswer: 1, 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*y - 44 + 7, 0 = 3*r - 2*y - 65. Suppose 2*m - 5*m - 39 = 0. Let a = r + m. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j - 634 = 626. Calculate the greatest common factor of j and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -28. Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-14)\/6 - (-10 + (-156)\/(-54))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + -1*sqrt(832)) - (sqrt(208) + ((0 + sqrt(208))*-4 - sqrt(208)) + 0 + sqrt(208) + -1))**2.\nAnswer: 792*sqrt(13) + 25249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:42 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898 is divided by 235?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17620 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.04, 0.5, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 minus 0.3120961?\nAnswer: -588.3120961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3, -3*c = -2*t + 6*t - 49. Let k be (-1 + 673)\/(c\/6250). Round k to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**6*d)\/(d**(-1)\/d*d*d))\/(d**(-1\/25)*d*d**(6\/11)) assuming d is positive.\nAnswer: d**(1786\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*r + 2052 = -z, -3*r = -5*z + 2538. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -1. Let t(b) = -254*b + 2. Let q be t(1). Let c be (0 + (-2 - -3))\/((-4)\/q). Calculate the greatest common divisor of c and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1271281\/206895 + 2763\/1061. Let o = 112\/13 - d. What is the nearest to 1 in o, -3, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 343 and 1854209?\nAnswer: 12979463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - d + 3*d)*(-61 + 9*d + 61) - 8 - d**2 + 8.\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2 + 8 + 5*d + 6*d**2 - 5. Let x be m(5). Suppose -w = x, 5*n - 4*n + 3 = -2*w. Is n <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 8*k - 12. Suppose -42 - 1 = -4*f - i, 2*f - 11 = 3*i. Calculate z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - 12?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.41 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:37 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/15)*a)**(2\/157)\/(a**18\/a)**(-1\/8) assuming a is positive.\nAnswer: a**(40259\/18840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -180, -269?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -13*q**3 + 181*q**2 + 17*q - 32. Let t be z(14). Calculate the highest common factor of t and 390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1942*a + 1942*a + 902*a**2)*(0 + a + 0)*(1 - 3 + 3) in the form c*a**2 + x*a + y*a**3 + o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 2, -1 in decreasing order.\nAnswer: 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1979*w - 1477*w - 501*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13347709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-255471)\/(-33232))\/(((-3)\/(-24)*-2)\/(8\/24))?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 2012278.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5490, -11131, -16772?\n\"Answer: -5641*n + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -9*p + 54. Calculate the smallest common multiple of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2 - 32. Suppose 5*g = q, -8*w - 3 = -3*w - 4*g. Let b(c) = 80*c**2 - 2*c. List the prime factors of b(w).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 465*u**2 + u + 16. Let v(h) = -466*h**2 - h - 13. Give 5*l(x) + 6*v(x).\nAnswer: -471*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14867*c + 579819. Determine t(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53.443 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-14))\/(((-2)\/14)\/((-2)\/(-24))). Let c be 5\/(-7) - (-1 - 0). Sort r, -2\/5, c in ascending order.\nAnswer: -2\/5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*n - 32*n**2 + 3 + 2*n - 28*n in the form c*n + r + j*n**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x**3 - 3*x**2 + x + 1. Let m be a(2). Let q = 262 - m. Is (-1 + (-24)\/(-9))*q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/535 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.92 + 5.92. Sort 8, -0.2, f in increasing order.\nAnswer: -0.2, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36310543 <= -36310543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 17*a - 59. What is d(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*z - 5*z - 5, 5*z = -4*a - 20. Suppose 2*h + 4*h + 12 = z. Does 16 divide ((-10)\/35)\/(h\/574)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 43. Let f = i - -10. Sort f, -15, -5.\nAnswer: -15, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9240 or -9239?\nAnswer: -9239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3081198198?\nAnswer: 2, 3, 13, 3038657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132 - (-301 - (-87 - -17)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*r + 9*r = 5, -r = 4*h + 4. Put h, -3, 2, -12 in decreasing order.\nAnswer: 2, h, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 9) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3929 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - 3*s)*(4 - 2 - 3) - 581 + 581 - 9*s + 9*s - 1428 + 1513 - 6*s.\nAnswer: -5*s + 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30700691 and 2499?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = h - 13, -2*p = -3 - 5. Let n = -0.021 + -55.979. Let q = 56.3 + n. Sort q, h, 3\/4.\nAnswer: q, 3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.39 - 127.09. Let j = x - -111. Let a = 0.13 + 5.87. What is the closest to -1\/2 in a, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3 - 6968861*z**2 + 55750840*z - 111501648 = 0. What is z?\nAnswer: 4, 6968853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 38. Solve -3*h - 3 - 16 = 4*v, 11 = -n*h - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, b: 7, h: 7, z: 1, v: 2}. What is prob of sequence zp?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 14 + -4 + (1 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8269 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46952226 divided by -22982.\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7527\/2 - -3844. Let h = -79 + t. Which is greater: -9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953 is divided by 111?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175020 divided by 8751.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 5. Let r = y - 4. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 6799147.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 != 2\/2979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 92, 0 in ascending order.\nAnswer: -21, 0, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122732?\nAnswer: 2, 61, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + 26*i + 64. List the prime factors of c(15).\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -383443, -764301, -1145159?\n\"Answer: -380858*y - 2585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 19. Suppose 5*t + 190 = 4*v, -2 = 5*t + k. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**2. Let o(i) be the first derivative of 16*i**2 - 93. Give q(o(w)).\nAnswer: 7168*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -424*s**2. Let v(l) = -3*l**2 - 2*l + 6. Let y(h) = -11*h**2 - 7*h + 21. Let i(n) = 14*v(n) - 4*y(n). Determine m(i(q)).\nAnswer: -1696*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -35, 0.3 in decreasing order.\nAnswer: 0.3, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and 129382419.1886.\nAnswer: 129382419.8886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -49*v - 4. Let t be b(-4). Suppose -4*x + 28 + t = 0. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0663 and -99.041.\nAnswer: -6.5664183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/607? (a) -2\/5 (b) 34 (c) 2\/15 (d) -5 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -84*54\nAnswer: -4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2005\/225 - 9)*3\/(-2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799127326?\nAnswer: 2, 18097, 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 4 + ((((sqrt(77) - sqrt(77)*2) + sqrt(77))*-4)\/(sqrt(7) + 1*sqrt(14)\/sqrt(2)))**2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -66*j**3 - 1081730*j**2 - 1999392*j - 917728 = 0.\nAnswer: -16388, -1, -28\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1011011101011100 (base 2) to base 4\nAnswer: -23131130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/k**(1\/30))\/k)*(((k\/(k*(k\/(k**(1\/6)\/k))\/k))\/k)\/k)\/k*((k**40\/k)\/k)**(-4) assuming k is positive.\nAnswer: k**(-774\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.526 + -1.274. Let x = 119.8 + w. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/253 and -29\/19311283.\nAnswer: 212424113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2315552, -2315551, -2315550, -2315549, -2315548, -2315547?\n\"Answer: r - 2315553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18428357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -630 (base 7) to base 6.\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.888 + 9.988. Which is the closest to h? (a) 0.21 (b) 0.7 (c) -0.08 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/5)*p*p)\/p)**(-31) assuming p is positive.\nAnswer: p**(-279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890 + 1070 = -36*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -8, 2, -18, -77.\nAnswer: -77, -18, -8, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -23*c + 13*c + 76*c + 92*c. Let w(j) = -j**2. Determine i(w(h)).\nAnswer: -158*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -8. Let n(q) = 2*q - 3. Suppose 37*j - 30*j - 21 = 0. Let g be n(j). Put p, 7, g in ascending order.\nAnswer: g, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 - (78 + -201) - -53.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-five quarters of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 180?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 7) to base 13\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -78 (b) -0.2 (c) 65 (d) -2 (e) -0.6 (f) 2\/5 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33154 is divided by 307?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 8*l**2 + 6*l - 3. Let k be ((-42)\/56)\/((-2 - 1)\/24). Let y(w) = w**3 - 3*w**2 - 22*w + 31. Let o be y(k). Give f(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -679 - -609.2. Let c = -61 - s. Let u = -6 + c. What is u rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 + 4*q - 12. Let w be p(3). Let l(y) = 25*y**2 + 18*y**2 - w*y**2. Let t(u) = -3*u + 14. Calculate t(l(r)).\nAnswer: 6*r**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4782373?\nAnswer: 1013, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60885 and 984.\nAnswer: 487080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 + 22*r - 130)*(-7*r - 30 + 30)*(0 + 2 - 3)*(-r + 0 + 0).\nAnswer: -154*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36009 is divided by 7029?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2458624333 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*u = 2*w - 3, w - 4 = -4*u. Let k be -1 + 2 + 7\/(-6). Do w and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*d = 70, 3*d = -3*h + d - 80. Let o be (-28)\/h + 7\/(-21). Which is the second biggest value? (a) 0.3 (b) o (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Suppose -b = a*i - 6, 0 = -4*i + b + 2*b - 2. Suppose 0 = h - 5 + i. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480447435?\nAnswer: 3, 5, 13, 2463833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-495)\/385 - 6683\/(-287).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 15*s**2 - 13*s + 15. Let p be ((-2)\/7)\/((-64)\/(-3136)). Give z(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 145*x + 20. Let p(q) = -10152*q - 1410. Let k(y) = 141*l(y) + 2*p(y). Let b(r) be the third derivative of -r**4\/12 - 6*r**2. Give b(k(s)).\nAnswer: -282*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -91*l**3 - l**2 - 2*l - 1. Let i = -13 - -12. Let s be r(i). Let f = -15 + s. What is the highest common divisor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6926 bigger than 7011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 - -0.3. Let f = 3 - 3. Let i = 78\/5 - 15. Which is the second smallest value? (a) k (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*z + 1 + 21 = 0, 2*z + 7 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5*(2 + (-26)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11 = 1. Suppose -k - k - o*q = 0, -5*k + 8 = 2*q. Find the third derivative of -6*a**2 - k*a**5 + 3*a**5 + 3*a**2 - 2*a**5 wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87596 or -87580?\nAnswer: -87580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6162143 and 12597?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 50*u - 173. What is f(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 9*f**5\/20 - 127*f**3\/3 + 37*f**2 - 2*f. Differentiate b(y) wrt y.\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.942812294 from 1945.\nAnswer: 1946.942812294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4764 (base 10) in base 11?\nAnswer: -3641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761197?\nAnswer: 103, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 561 + -557. Is 4\/a - -6 - -539 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2606778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from uiuviuiii.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**2 + 3*m + 77. Let l(y) = 23*y**2 - 8*y - 232. Let k = 155 + -163. Let f(o) = k*j(o) - 3*l(o). Solve f(a) = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*z - 102, -2*v + 19 = z - 24. Suppose -3*l = -4*c - 68, -2*l - c + z = -2*c. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 11.6. Let b = -6 - n. Let s = -16 + 11. What is the biggest value in s, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(175) - ((-2*(sqrt(175) + 3 - sqrt(175)))**2 + sqrt(175))) + 4)*1.\nAnswer: -65*sqrt(7) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 5:01 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65949731 a multiple of 5470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o. Suppose -5*m + 17 + 53 = o. Is 17 a factor of 4\/m - (-819)\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6607, -6669, -6829, -7135, -7635, -8377?\nAnswer: -9409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-27)*12 + (-6)\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 39 - 4 + 0 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 5*n + 2. Let l be i(-2). Let j = 8 + l. What is the greatest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2. Let q(l) be the first derivative of -1\/3*l**3 - 2 + 0*l + 0*l**2. What is q(f(o))?\nAnswer: -49*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 158*s**3 - 282*s**3 - 33*s**3 - 140*s**3.\nAnswer: -613*s**3 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182899772 and 506?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 1 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-96))\/((-40)\/16))\/(6\/(-5)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*d**4\/9 - 2104*d**3\/9 + 348*d**2 - 1562*d\/9 + 260\/9.\nAnswer: 2*(d - 130)*(2*d - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202989.12 months to millennia.\nAnswer: 16.91576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 69*j - 2. Let b(h) = 35*h - 1. Let m = 2457 - 2452. Calculate m*b(q) - 2*z(q).\nAnswer: 37*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6522, -15, 22, -3 in decreasing order.\nAnswer: 6522, 22, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 4) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 7*t**2 + 3. Let g be d(-7). Let q = 10 + g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -73. Let u = z + 84. Let n = u + -64. What is the closest to n in 1\/5, -5\/2, 7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502150 is divided by 167231.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2 - 2)*(3*j - j - 3*j) + 1 - 1 - 6*j**2 + 2*j**2 + 0 + 0 + (4*j**2 + j**2 - 6*j**2)*(0 - 1 + 0).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2051*k**2 + 46*k - 44*k - 742*k**2 + 524*k**2 + 1 to the form r*k + l + j*k**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:48 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 13605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 - 7 - 15 - 8 + 30.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, 6, -101\/3 in descending order.\nAnswer: 6, 4, 2\/7, -101\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/6 - 15*b. Let p(q) = -14*q. Determine p(i(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*w + 2 = -2, -3*w = 3*m - 3. List the prime factors of (6 - 1) + -1*m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*h + 4. Let d = -3 - -28. What is the remainder when d is divided by 0 - (-2)\/(-2) - h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7851, -15700, -23549?\nAnswer: -31398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 7, -3007 in descending order.\nAnswer: 39, 7, -3007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1421925692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/28 and 51\/53093180.\nAnswer: 53093180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 11:53 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - (8 - 7)) + (-9 - 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 416142 divided by -2\nAnswer: -208071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/24 - p**3 + 9*p**2 - 6*p. Suppose -5*b - 24 = -b. Give z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-15)*(-24)\/8*10\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 2950563*d**2 - 11802239*d + 8851677.\nAnswer: -(d - 2950559)*(d - 3)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5240, 2\/3 in increasing order.\nAnswer: -4, 2\/3, 5240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32694 divided by -32694?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 159 = 3*l, -2*w + l + 45 = 6*l. Is w a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96821629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 52*a**2 - 20*a - 1. What is the hundreds digit of l(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -7. Let s = q + -14. What is the nearest to 0.1 in -0.5, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k + 4. Suppose -2*h + 0 = 8. Let o(u) = 3*u + 1. Let g be (-86)\/(-215) - 106\/(-10). Calculate g*o(v) + h*x(v).\nAnswer: v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2133413, -8533643, -19200685, -34134533, -53335181, -76802623?\n\"Answer: t**3 - 2133412*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 v when four letters picked without replacement from {h: 1, v: 1, u: 4, m: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 143790?\nAnswer: 1437900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 + -100. Calculate the remainder when q is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, 3, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 1, w: 1}. What is prob of picking 1 k and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h. Suppose 0 = -5*c - 2*a + 305, -c + 3*a = -h*a - 78. Calculate the remainder when c is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34a014 (base 11) to base 13.\nAnswer: 165837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, u: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 + 3) - (-3 + 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -3.7, -3, -13, 3 in increasing order.\nAnswer: -13, -3.7, -3, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -4. Suppose 5*s - m = 3*g - 2, g - 17 = -5*s. What is the greatest common factor of s and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258285571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22289\/30 + -3829\/5. Let g = 1675\/66 + r. Calculate the common denominator of g and (2\/5)\/((-3)\/85).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/5*(-3 - 2). Let s be j*(-3 - 9\/(-2)). Let f = 21 - s. Solve m - 15 = -4*m - u, 4*u + f = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260*o = 5832 - 13392 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -10.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 12*o - 6 + 58, -5*o - 4*s + 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -184*i + 9749. Let k be f(46). Calculate the highest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 443?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v + 121. Suppose o + 0*q + 3*q + 15 = 0, 3*o - 4*q = 20. What is the tens digit of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -546 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1021\/12 + 85. Suppose -2*u - u = 0. Is m bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*p - 8*p**2 - 5*p + 7*p**2 + 3*p**3)*(4*p + 0*p - 2*p).\nAnswer: 6*p**4 - 2*p**3 - 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11748 - 9*k + 11748. Let u(g) be the first derivative of g**5\/30 + g**2\/2 - 1. Let t(y) be the second derivative of u(y). Give t(o(i)).\nAnswer: 162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 398*v**3*w**3 + 6*v**2*w**3 + v**2*w**2 + 4*w**3 wrt v.\nAnswer: 2388*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -882, -1746, -2590, -3402, -4170, -4882, -5526?\nAnswer: -6090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)\/w**(-14))\/(w**(-4\/7)\/w*w*w)**(-7\/6))**(3\/13) assuming w is positive.\nAnswer: w**(57\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -133*k + 1. Let x be r(1). Let w be -2*(-3)\/x*-1. Let z = -211\/6 - -35. What is the second smallest value in -3, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q\/q**0))\/q)\/q)\/(q**(-2\/5)\/q))\/((q\/(q\/((q*q**(-2\/3))\/q)))\/q*q)**(-8\/3)*((q**(2\/7))**(5\/2))**(-4\/11) assuming q is positive.\nAnswer: q**(-12604\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14115, -13353, -12591, -11829?\nAnswer: -11067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 1312)*(3 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011888 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575829*u = -8*d + 575827*u + 38, -16 = -3*d + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51508 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1320269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1276*t + 676*t**2 + 1276*t + 3*t - t**2 - 3*t + (4 - 6 + 4)*(-t**2 + 5*t**2 - 3*t**2).\nAnswer: 677*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0014 + 8.9986. Which is the closest to 1\/3? (a) 5 (b) q (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8202 - 8199. Let k(o) be the third derivative of 0 - 1\/3*o**4 + 0*o**g + 1\/5*o**5 + 0*o + 6*o**2 - 1\/30*o**6. Factor k(w).\nAnswer: -4*w*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 55398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 77764. Let l(u) = -2*u**2. Give z(l(f)).\nAnswer: 6*f**2 + 77764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1094 - 104 - 256*s**4 - 281*s**4 - s**3 - 219 wrt s?\nAnswer: -2148*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3650 by -10.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6549 is divided by 6439?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**3 + 2*k**2 - 9*k + 12. Let q(h) = 4*h**3 - h**2 + 4*h - 6. Let s(d) = 3*g(d) + 7*q(d). Suppose 10*r - 6*r = 0. Determine s(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 56. What is l(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -12. Let f be 77 - (-1 + w) - 3. Calculate the greatest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/18 - (0 + 3)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 27.\nAnswer: -22\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 3:09 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6924298.\nAnswer: 2, 503, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + q + 5, -l + 17 + 8 = -5*q. Let j be -1 - -4 - l - 2. Let o be j*-1*(-13 + 13). Which is greater: -3\/10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 5:31 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -19 (c) 7 (d) -1 (e) -4\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16562 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 41*q**2\/2 - 5*q - 53. Let b(g) = -g - 1. Let z(d) = -6*b(d) - l(d). Find the first derivative of z(m) wrt m.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3121 + -1596. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (sqrt(76) - (6*(sqrt(76) + -2))**2).\nAnswer: -2885 + 290*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 13*l**2 + 33*l - 35. Let p be q(15). Solve -p*g - 46 = -16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328144?\nAnswer: 2, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 0*t**2 + 0 + 0*t**3 + 15*t + 3\/10*t**5 + 17\/12*t**4. Find the third derivative of w(o) wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19312.7 rounded to the nearest 10?\nAnswer: -19310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**3 + 2*g**2 - 4*g + 3. What is w(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + -33a9b55?\nAnswer: -33a9b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -1\/9, 801?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*f, -4*f - 4*n = -2*n + 24. Suppose -2*p + 4*g + 84 = 2*p, 43 = 3*p + g. Suppose -5*w + 8 = -4*b, 0 = 3*w + 3*b + 2 + 4. Sort f, p, w.\nAnswer: f, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213210905?\nAnswer: 5, 313, 136237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160270 and 195?\nAnswer: 6250530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z - z - z - 5*z - 18 + z. Give o(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2 + 52479*l - 208134554 = 0. What is l?\nAnswer: 4322, 48157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163537*g**2*t + 1727*g*t + 6*g wrt g.\nAnswer: -327074*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 102 - -2 - (-44 - -75).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217718 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 2965*t + 2965*t. Let d(y) = 4*y**2. Determine d(n(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 + 4a6a9?\nAnswer: 4a637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41940 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 14\/9, -4, 15?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 646*w - 751. What is t(-324)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -25, -10, -2\/7, 9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 12. Let s = g - -8. Let c be 9\/(3\/s - (-3)\/4). Is c smaller than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55414 divided by 538?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2 + 15*u + 12 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4\/8 + 690534*z**3 + 3814694879111*z**2\/4 - 1907349511158*z + 7629400806769\/8 = 0?\nAnswer: -2762137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 6*i + 592 = 552 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 + -93. Calculate the remainder when t is divided by (103\/(-412))\/((-5)\/(-174)*9\/(-30)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -0.02, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 49 + 125 = 0. Suppose 5*p - 3*w = 212, p - u = -w + 6. List the prime factors of -2*(0 - p\/2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + 0.13. Sort t, -1\/3, 2\/11 in ascending order.\nAnswer: -1\/3, 2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68216 and 12536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -5. What are the prime factors of -2*188\/z*2?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-66) - 70\/22. Sort -65, g, 0.\nAnswer: -65, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14390*g**3 + 10*g + 10. What is the thousands digit of t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36518477?\nAnswer: 131, 278767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -2*a**3\/3 - 31*a**2\/2 - 18*a - 740. Let b = -102 - -87. Calculate y(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*c + 26, 3997*y - 3992*y = -c - 121 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/28*-12 - 5. Solve w*a = r - 14, -4*r = -2*r + 4*a + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {q: 9, d: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -61*c**2 + 2 + 22*c**2 + 23*c**2 + c + 18*c**2. Calculate a(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.73 - -1.27. Which is the fourth biggest value? (a) -0.04 (b) -5 (c) 1\/4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = -4*f, -4*f - 4*h - 1 = 23. Let o be 1*f*2\/20. What is the second biggest value in 3, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 41*x**2 + 24*x + 31. Let n be v(13). Solve 34*y = 39*y + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 332437, 4 in increasing order.\nAnswer: -6, 4, 332437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, q: 9}. Give prob of sequence ql.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) -6 (c) 94 (d) -4 (e) 0.3 (f) -2\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18860 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-97)\/(6111\/(-2898)))\/(-1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1062?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036105 rounded to six decimal places?\nAnswer: 0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - (5 - 8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12950552*c**3*q**3 - 22*c**3*q**2 + 14*c**3 + 71*c*q**2 - 3*c + q wrt q?\nAnswer: 77703312*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three quarters of a decade?\nAnswer: 1590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 6*g = 5*g - 17, 14 = 4*x - g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c + 46*c + 53*c = -126 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 75 = -3*c, 3*h + 121 = 5685*c - 5680*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 2794\/(-154) - (-12)\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3257 (base 14) to base 15.\nAnswer: 28a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432624 and 12888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 - q**4 + 16*q**4)*(0 + 0 - q).\nAnswer: -15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -1686.34\nAnswer: 1349.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*p**3 + 1 - 60*p**3 - 3*p**3 - p + (-2*p**2 - 2 + 2)*(2*p + 0*p - 3*p) as x + s*p + z*p**3 + j*p**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-2))\/(-1))\/(20\/120)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472240 is divided by 233171?\nAnswer: 5898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:08 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122 + 443?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 9125*t - 5 = 9128*t, -2*w + 2*t = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 222927063.1 to the nearest one million.\nAnswer: 223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.75081 to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12003 is divided by 200.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*m - 2*s, -9*s = m - 13*s - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 23 = -3*w. Let m(j) = -j**3 - 2*j**2 + 5*j - 6. Let g be m(-5). Let a = g - w. Calculate the smallest common multiple of a and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 63.8 from -23268.\nAnswer: -23331.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -120?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1633957417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 14*z**2 - 21*z - 82. Calculate o(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1442*g**4 - 3*g**3 - 3*g**2 - 6*g + 3319. Let h(y) = -y**3 - y**2 - 2*y. Let z(s) = f(s) - 3*h(s). Differentiate z(l) wrt l.\nAnswer: 5768*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/792 and -59\/792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95253852*s**4 + 18564*s**2 + 5*s + 45 wrt s?\nAnswer: 2286092448*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h - 12 = 3*w, -w = -h + 3. Suppose 6*b - h*b - 3165 = 0. Let y(s) = 20*s - 1055 + b. Let d(o) = -2*o. Determine d(y(c)).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 16*a**2 + 46*a + 16. What is the tens digit of k(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5888 + 6041. What is the remainder when 452 is divided by y?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3707274.4 to the nearest ten thousand.\nAnswer: 3710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u - 140. Let k(b) = -3*b**3 - 6*b**2 + 10*b - 562. Let y(x) = k(x) - 4*z(x). Calculate y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 69*o**5\/5 + o**4\/4 + 19*o**3 + 2. Find the third derivative of g(v) wrt v.\nAnswer: 1656*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (2 - 28) - 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 81*t**2 - 74*t - 481. Let l be k(80). Let o(c) = c - 1. Suppose -3*j = -0*j - 6. Let v(a) = -2 + a - 2 + j. Determine l*v(f) + 2*o(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56748117.\nAnswer: 3, 19, 61, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - ((-340)\/(-17))\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * 22566.\nAnswer: -812376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*n**2 - 97*n**2 - 98*n**2 - 78*n**2 - 264*n**2 - 527*n**2.\nAnswer: -1360*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -2*h**3\/3 - 2. Let u(s) be the third derivative of -4\/3*s**4 - 2*s**2 + 0*s + 0*s**3 - 14. Give u(j(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r\/(r*r*r**0\/r))\/r*r))**(-5\/14)\/((r*r**(3\/5)*r)\/r*r*r**(2\/9)) assuming r is positive.\nAnswer: r**(-1114\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -989*a**2*x**3 - 2788*a**2*x**2 - 120*a**2*x + 19*a*x**4 wrt x?\nAnswer: -5934*a**2 + 456*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 1 - (-6 + -16). Let y = 38 - h. Calculate the smallest common multiple of 12 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l - 1722 = 3*w, -5*l + 3*w = -8586. What are the prime factors of l?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 27 (b) 564 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2265463 rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 11*w - 2130. Let b = 917 - w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992626902 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: Let q(m) be the third derivative of m**5\/10 + 160*m**2 + 7*m + 2. Let v(s) = -17*s - 5. What is v(q(l))?\nAnswer: -102*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 142522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x + 67*x - 2440 = 56*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26913317 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcwd when four letters picked without replacement from cwwwwqwdwwiqwc?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3288 is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465, 401, -191, -1311, -2959?\nAnswer: -5135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1126 and (52\/(-260))\/((-8)\/(-20)) - (0 - -8).\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15*c + 40*c = 20*c + 7, -4*c = -5*x + 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2736 and -37\/6080?\nAnswer: 54720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 + 9*v**2 - 3*v + 3*v. Let f(m) = 9*m + 2 - 8*m - 10. Let u be f(9). Calculate b(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -79, -1\/2, -4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-11)*k)\/((k*k**(-33))\/k*k))\/(((k\/k**(5\/7)*k)\/k)\/k)**(-3\/13) assuming k is positive.\nAnswer: k**(2078\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3219808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19d7 + -4?\nAnswer: -19db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844699291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*f - 99*f - 92*f + 3.\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 9. Let k = -109.5 - -110. What is the closest to -0.1 in k, y, -3.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44934229 is divided by 1870.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 297, 310, 329, 354?\n\"Answer: 3*p**2 + 4*p + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/i**(-26)*i*i)*i)*i*i)\/(i**30*i))**17 assuming i is positive.\nAnswer: i**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 927 = 921, -2*v = -2*y + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 1820. Suppose 5*a = -10 - 0, 2*a = 4*h - i. Suppose -7*m = -4*m - h. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 565916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvn when four letters picked without replacement from {v: 7, n: 9}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.867138 micrometers in kilometers?\nAnswer: 0.000000005867138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*j + 42, 3*b + 2*j - j = 63. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(54)\/sqrt(6)))**2*6.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2508*i**3 + 21918*i wrt i.\nAnswer: 15048*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 2611\nAnswer: -4\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-12))\/(1\/20). Suppose 2*g - 156 = 5*p, -g - 78 = -2*g + 4*p. Let u = -77 + g. Solve -y + q = -7, -5*q - u = h*y + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.3 (b) -1\/7 (c) -403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**7\/7 - 7*q**4\/6 - 63*q**3\/2 + 14*q - 2. What is the second derivative of d(u) wrt u?\nAnswer: 120*u**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 70 = y + 3*d, 3*y + 4*d = 53. Let w be -2*(-11)\/(y\/4). Let 4*t**3 + w*t**2 + 32 + 37*t + 19*t + 20*t**2 = 0. Calculate t.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:36 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 - 5*t**5 + 5*t**2 + (t**3 - 3*t**3 + 0*t**3)*(312*t**2 + 339*t**2 + 504*t**2).\nAnswer: -2315*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 10, a: 5}. What is prob of picking 2 m and 1 a?\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 + 6*a - 3. Let p be v(-7). Solve -5 = -i - p*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 922 - 53 = 0. Suppose 4*x = 5*c - 3*c + 118, -177 = 3*c + 5*x. Let r = c + h. Solve -2*m = -4*m + r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 22*t - 5. Let s be i(6). Let y(b) be the third derivative of b**5\/60 - b**4\/4 - 2*b**3\/3 - 12*b**2. Determine y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7106677*l**3 - 7107805*l**3 + 2.\nAnswer: -1128*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blet when four letters picked without replacement from lluelbtlltle?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*a**3*h**3 - 9*a**3*h + a**3 - a**2*h - 159 wrt h?\nAnswer: -42*a**3*h**2 - 9*a**3 - a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 130*k**2 + 17243*k + 10952. Calculate m(-132).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1500 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.1 (c) -14.69 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3762 divided by 19?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98036567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 214?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - w + 5. Give t(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60155 is divided by 30046?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p + 5 = 35*p. Is p greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 12*t - 25. What is o(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27787 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 + 69\/9. Let m be -1*(-2)\/2*3. Let k(r) = r - 3. Let u(b) = -2 + 10 + 0*b - b - 2*b. Calculate d*k(v) + m*u(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0377422 - 26.7713578. Let h = o - -26.8. Round h to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + (3 + -1 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/9 and 91\/366?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -581, -594, -597, -584, -549, -486?\n\"Answer: k**3 - k**2 - 17*k - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 10408595 and 58.\nAnswer: 10408653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 13. Suppose -s - 3*y = -2*s - 5, 6 = 2*s + 2*y. Let h = s - l. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461636 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.018182 to 3 decimal places.\nAnswer: 3.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17086 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5776711625.\nAnswer: 5, 23, 659, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x + 2. Let i be 2 + (0 - (-3)\/3). Suppose -i*w - 3 - 6 = 0. Let u(k) = -k - 1. Let n be u(w). Determine b(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimuiummbluubiiueu. Give prob of picking 1 l and 2 u.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3574 divided by -1787.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3000)\/(-24500))\/((-15)\/(-7)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92804 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnniniinininniiininn. Give prob of sequence ii.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30623 or 30636?\nAnswer: 30636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**6\/200 - g**5\/60 + g**4\/30 + 2*g**3\/15 + 8*g**2 - 8*g. Let d(j) be the first derivative of i(j). Factor d(k).\nAnswer: -(k - 1)*(k + 2)*(3*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0)*10\/(-30). Suppose 4*v = w + 3, -5*w + 2*v - 7*v + 60 = b. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 4*i - 4. Let n be -1 - ((-1 - 0) + 5). Let q be j(n). Suppose -q - 29 = -5*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a - 58*a = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 1.6935.\nAnswer: 28.7895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*-12*8\/(-64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 + 2*k. Let o(b) = -2*b**2 + 39 + b**2 - 39. Calculate o(v(j)).\nAnswer: -36*j**4 + 24*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57612 by 2.\nAnswer: 28806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2 + 2321*m**2 - 2326*m**2 - m**3 + 13 + 3*m. Determine n(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 27*o**2 + 60*o - 18. Let j be i(29). What is the highest common divisor of 280 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/28 and -80\/1071?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -497*s**2\/9 - 530*s\/9 + 2849\/3.\nAnswer: -(7*s + 33)*(71*s - 259)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380397 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 26 + 26. Suppose g - 4 = m, 2*g - 5*g = 3*y - 4029. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5477, 3, -4 in decreasing order.\nAnswer: 5477, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -69*k**3 - 3*k**2 - 5*k - 26. What is l(-3)?\nAnswer: 1825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:34 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 443.04118 + 31.10302. Let j = 0.9558 + h. Let s = j - 497. What is s rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lslsosoolmlcsslmmn. Give prob of sequence nl.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*j + 13*j**4 + 26*j**4 + 112*j**3 + 5*j**5 + 144*j**2 - j**5 - 3*j**4 + 53*j.\nAnswer: 4*j*(j + 1)*(j + 2)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102864 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-2*(-2)\/6). Let z be 1479\/27 - 6\/i. Let f be 8\/(-32) - 42\/(-8). Calculate the greatest common divisor of z and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948.751ml to litres.\nAnswer: 0.948751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2147 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2. Let w(q) be the first derivative of q**5\/24 + 2*q**3\/3 - 6. Let z(h) be the third derivative of w(h). Calculate z(p(n)).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 6*s + 4. Let r be g(-6). List the prime factors of 6*(-7)\/(28\/r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133844?\nAnswer: 2, 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((111\/(-592))\/((-55)\/(-10)))\/(15\/60).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 - 21*k - 5. Let f(l) = -l**3 - 10*l - 2. Determine -5*f(c) + 2*z(c).\nAnswer: -c**3 + 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -481\/55, 1\/7, 0.5, 6.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47349\/16 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3965 is divided by 1321.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/11 + 354*q**4\/11 + 11540*q**3\/11 + 80100*q**2\/11 + 86378*q\/11 - 178374\/11 = 0 for q.\nAnswer: -137, -31, -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1050263 = -2*r, -4*r = 436*z - 438*z + 700218. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2.4. Let c = -2.4 + q. Let h = -1598 + 1572. Is h >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - 22.4. Let o = l - -31. What is the closest to 0.1 in o, -5, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**2*s*u**3 - 9*l**2*s*u**2 - 1319*l**2*s*u + 194*l*s*u**3 + 65*l*u**3 wrt u.\nAnswer: -24*l**2*s + 1164*l*s + 390*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -21097*f**2 + 8074*f. Let r(m) = -3516*m**2 + 1346*m. Let g(c) = -19*r(c) + 3*y(c). What is the second derivative of g(j) wrt j?\nAnswer: 7026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 97713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 71 = -3*y, 3*y - 18 = 5*r - 77. Calculate the remainder when ((-8)\/(80\/130))\/(1\/(-4)) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -577*u**4\/12 + 179*u**3\/6 + 3*u**2\/2 + 128*u + 6. What is the second derivative of y(x) wrt x?\nAnswer: -1154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -42. Solve 0 = -3*p - h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - q**2 - 2*q**2)*(-41 + 41 + 14*q**3 + 2*q**3 + 2*q**3 - 5*q**3 + (q**3 - 4*q**3 + q**3)*(-1 + 4 - 1)).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36544 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5123?\nAnswer: 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315304602, 630609201, 945913800, 1261218399, 1576522998?\nAnswer: 1891827597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + sqrt(243)*-3 + -2 + 3)**2 + -3.\nAnswer: 54*sqrt(3) + 2190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4083*t - 22230 = -102678 - 172698 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 - -4)*(-4)\/10. Suppose 3*s - 4*d = -d, 4*s + 5*d = 36. Suppose s = -g + 6. Solve 0 = 2*q - o*q - g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 256140*t - 589. Let m(n) = -2*n**2. Determine a(m(u)).\nAnswer: -512280*u**2 - 589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + (-3 - (5 - 8)). Calculate the highest common divisor of 36 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**2\/3 + 411548*s\/3 + 64317248 = 0.\nAnswer: -102416, -471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbbs when four letters picked without replacement from bsbbbsbbs?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*j + 344*j = 2706. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -14.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*g - 2*s - 0*s, 3*g = -s + 36. Suppose -z - g = -5*z. Find the third derivative of -6*a**2 + 2*a**3 + a**z - a**3 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:47 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -377, -5, 5, 12, -47, 1, -2 in ascending order.\nAnswer: -377, -47, -5, -2, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 119363*o - 715644. What is c(6)?\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-30))\/(36\/(-72)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 5*l**3 - 4*l**3 + (2*l - l + 0*l)*(62*l**2 - 121*l**2 + 66*l**2) as k*l + w*l**3 + g + o*l**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 77 - 30 - 381*f**2 - 59 + 382*f**2 + 193.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(200)\/(sqrt(8)*2) - sqrt(175)\/(sqrt(28)\/sqrt(4)))\/(-2*(sqrt(5) + sqrt(5) + sqrt(55)\/(sqrt(22)\/sqrt(2)))))**2.\nAnswer: -5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6768 and 87\/470?\nAnswer: 33840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-4 + 0) - -47. Let k = -46 + z. Let a = -9.16 - -9. What is the third biggest value in a, 1\/4, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 2:26 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 54949850 divided by 5\nAnswer: 10989970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 2 - 2*y**2 + 5*y + 2*y**2 + y**2. Suppose 4*i - 45 = -4*o - o, 10 = 2*i. Is l(o) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/8 and 179\/347366640?\nAnswer: 347366640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17, 46, 111, 230, 421, 702, 1091?\n\"Answer: 3*o**3 + 8*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 2715?\nAnswer: -10860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 3*y + 3*y)*(-2*y + 2*y - y**3) + (y**3 - 3*y + 3*y)*(3*y - 3*y - 7*y**2) + 0*y + 0*y - y**5.\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 231629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8234700739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 462.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64959627 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24494 - -0.0175851?\nAnswer: 24494.0175851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/24 and 41\/6108760.\nAnswer: 18326280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(245)*5 + -4 + sqrt(245).\nAnswer: -8 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -240762.09 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*b**2 + 298*b**2 + 353*b**2 + 43*b - 81*b + 38*b.\nAnswer: 461*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -963*o - 1. Let a be 2*((-6)\/2)\/3. Let x be g(a). Let q = x - 1032. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10391076 and 2232.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 15 = -3*j, 2*d = 5*d - j + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1431 - -4283\/7155. Which is the closest to y? (a) -3 (b) -2\/9 (c) 2\/9 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.12 - -0.12. Which is the closest to -2\/7? (a) y (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 612 - -67. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(931) + sqrt(931) + 2)**2 + sqrt(931))*5 + 2 - (6*-1*sqrt(931) + (sqrt(931) - (-4 + sqrt(931)))*-5)**2.\nAnswer: -71194 - 2205*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*a = -151*a + 45. Let t = -23 - -34. Calculate the lowest common multiple of a\/(-2) - 70\/28 and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 6, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*r - 34, 5*c - 3*r = 3*c + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3120 and 113664564?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 10:18 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 12*g - 4. Let p be q(-12). Let c(l) = 2*l - 4. Let z(r) = 2*r - 3. What is p*c(i) + 5*z(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z + 132. Is z\/(-14) - 6\/(-21) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*6\/(-1 - 2). Suppose -2*y + a*f = -12, -5*y + f = 6*f - 70. Suppose 11*m - 70 = y*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 1, l: 2, x: 2, t: 5, i: 2}. What is prob of sequence ti?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8611698, 17223400, 25835102?\nAnswer: 34446804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19813399 is divided by 8713.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 67*d - 39. Let j(k) = -83*k + 42. Let s(x) = 3*j(x) + 4*y(x). Suppose -2*w - 2*c + 18 = 0, 2*w + 0*w - 2*c + 2 = 0. What is the units digit of s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6) + (-4795)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, 4, -2, 2\/49, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 26. Suppose c + 5 = 3*w, -5*w + 3*w + 2*c + q = 0. Let i(z) = z + 2. Let x be i(-2). Is w at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 - 2*i + 1. Let j be h(-2). Let f = 1 - 1.5. Let l = 8.224 - 5.224. What is the nearest to j in 5, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 16*p - 36*p + 55, -12 = -3*n - 3*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1142 * -1.863\nAnswer: -2127.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 600144.\nAnswer: 600144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*y + 21. Suppose -5*i + 65 = 2*k, -y*i + 4*k + 35 = -0*k. Suppose -4*l + 17 = -i. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lliiili. Give prob of picking 2 l and 1 i.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 644 and 77.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + a - 2. Let j = 248 - 247. Let t(z) = -61*z**2 + 5*z + 101. Let y(c) = j*t(c) - 5*i(c). Differentiate y(n) with respect to n.\nAnswer: -142*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74559148.\nAnswer: 2, 18639787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 22*t**2 + 418*t + 17. Determine p(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2. Suppose -6*u + 34 - 10 = 0. Let c(s) be the third derivative of 1\/12*s**u + 2*s**2 + 0*s**3 + 0 + 0*s. What is b(c(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -32, -46, -58, -68, -76?\n\"Answer: l**2 - 19*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 259, -3\/4, 243, -0.3 in increasing order.\nAnswer: -1, -3\/4, -0.3, 243, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62014547, 62014546, 62014545?\nAnswer: 62014544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 27 - 56)*(-5*r**4 + r**4 + 5*r**4)*(2 - 1 - 2 + (-8 - 5 - 5)*(2 + 1 - 1) + 2 + 4 - 4).\nAnswer: -350*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4162 - -6062. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l**2 - 22148*l - 110586. Determine j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 3*a + 44 = 0, -5 = -f - 4*a. Let z(s) = 3*s - 5*s - 4*s + 2. List the prime factors of z(f).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2*((-3288)\/(-18) - -20) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1180, 1142, 1094, 1030, 944?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -63. Let m(j) = -16 - g*j**2 - 57*j + 21*j + 14*j. What is the tens digit of m(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2. Let t(a) = -2*a**4 + 6*a**3 - 4*a**2. Let p(c) = -4*f(c) + 2*t(c). Suppose p(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((2\/(-3))\/(-15*(-12)\/(-27)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - (-22 - -28)) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let a be s(0). Suppose 4*o - 10 = 50. Suppose 4*q = -q + o. Solve q*v + 12 = -a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (527 - 46706*n + 508 + 531 - 65614*n - 1566)*(2*n**2 + 1 - 1).\nAnswer: -224640*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/37 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 235942912 to the power of 1\/3, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -36*j**3 + 22*j**2 - 10*j + 2. Let z(c) = c**3 - 4*c**2 + 2*c + 1. Give -f(k) - 5*z(k).\nAnswer: 31*k**3 - 2*k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3 - 12*v**2 - 41*v - 30 = 0?\nAnswer: -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f + 1. Let j be r(1). Let z(c) = -3*c + 68. Let s be z(20). Let n(g) = s*g + 16 + 1 - g - 15*g. Let m(l) = -3*l + 6. Determine j*m(u) + 4*n(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44093033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1330 and 32690.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 4 - (9 - 20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -3 (b) -7 (c) 0.3 (d) -690\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*y - 96*y = 140*y - 264 - 243 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98373 and 28677?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/300*1047\/698\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 4*k + k)*(82 + 70 - 51) to the form g*k + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybhuvyyy. What is prob of picking 1 b, 1 u, and 2 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40959 + 40964. Let h(u) be the second derivative of -22\/21*u**4 - 2\/7*u**2 - 11*u + 25\/21*u**3 + 3\/10*u**j + 0. Solve h(i) = 0 for i.\nAnswer: 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 a when three letters picked without replacement from yftfafatqfafftt.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3913960285197 from 0.03.\nAnswer: -3913960285196.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 0 - 12\/(-6). What is the first derivative of 5 + 3*v**3 + 2 - p wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, -13, 4 in increasing order.\nAnswer: -13, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -385 + 315 + -4 + 11 + 10.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, -0.3, -5, 0.2, 1\/25.\nAnswer: -5, -0.3, 1\/25, 1\/21, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 284?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-5))\/(7\/5). Let j = -23.78 + 24. Let r = j - -0.08. What is the closest to 0.1 in o, r, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from hhhhmaamhmhama?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 413294 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -485.9 + 486. What is the second smallest value in 6\/11, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 18*d + 23. Suppose -38 = o - 5*g - 39, 2*g = -2*o + 38. Determine a(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:51 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1063 (base 10) to base 5\nAnswer: 13223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -501?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*5\/(50\/18)*((-70)\/3)\/(-14).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.707 or -0.06534?\nAnswer: -22.707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 - 8*p - 6. Let q = -100 + 108. Let o(r) = 8*r + r + q*r**2 - r**2 + 7. Calculate -5*o(n) - 6*x(n).\nAnswer: n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 46 + 103 + 0*q**2 - 11670*q - 4*q**2.\nAnswer: -4*q**2 - 11670*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 360481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38048947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 6*h**2 + 2*h**2 - 7*h**2 - 4*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167 - -259. Let o = -5937\/2 - -2920. Find the common denominator of o and 2\/4 + a\/(-48).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -360*t - 1080. Let b(g) = -g - 20. Let o(k) = 54*b(k) - i(k). Let s(c) = -c**2. Give o(s(m)).\nAnswer: -306*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*i + 35*i + 5210. Let q = i + -294. What are the prime factors of q?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/10 of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**5 - 3*b**4 + 3*b**4)*(1 - 4 - 7)*(-11 - 24 - 6).\nAnswer: 820*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339*m**4 + 2779*m**2 - 2.\nAnswer: -8136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044085 rounded to 4 decimal places?\nAnswer: -0.0441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**2 - 5*c - 5. Let t(o) be the second derivative of -o**4\/4 - o**3\/3 - o**2 + o. Determine -5*t(h) + 2*z(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2. Let h(w) = 7*w + 2. Let a(l) = -23*l - 7. Let s(u) = -4*a(u) - 14*h(u). What is s(q(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 217170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -177986?\nAnswer: 3559.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2499 - -2503. Solve v*m - 4 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 3*w**2 - 3*w**3 - 23*w**4 - 7*w**4 - w + 0*w**3 to h*w**4 + x*w**2 + n*w + t*w**3 + l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37431 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(648) + sqrt(8)))**2 - (-2*(sqrt(5) + -4))**2.\nAnswer: -1679\/20 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3528 - 3528. Let f(l) be the third derivative of -15*l**2 + r + 0*l + 8\/3*l**3 - 7\/120*l**6 + 0*l**4 + 0*l**5. Find the first derivative of f(w) wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - 0.43. Which is the closest to 2\/9? (a) -2 (b) t (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*l**4 + 19*l + l - 2*l wrt l?\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 2*i**2 + 4*i - 3. Let p be c(3). Let w = 83 + p. Suppose 0 = -a - 0*a - 3, 2*z - w = 5*a. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 + 3*y**4)*(-y - 4*y + 7*y) + 351 + 2*y**5 + 4*y**5 - 5*y**5.\nAnswer: 7*y**5 + 351","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000122110 - -210?\nAnswer: -21000121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4754218 and 49224.\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*n + 156, -4*z + 55 + 55 = 3*n. Calculate the remainder when 492 is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 6*g**4 - 3 - 130*g + 15*g**4 + 130*g - 2*g**4 + 5*g**4 - 2*g**4 + (-4*g**3 + 6*g**3 - g**3)*(0 + 0 + 2*g) + 2*g**4 - g**3 + 0*g**4 - g**3.\nAnswer: 14*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3593\/2 at most -1796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - -17. Let v be (d\/6 - 3)*2. Suppose -2*t - 2*l - 6 = -38, -t - 3*l = -8. Solve 0*m - t = v*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.015 in 1, 13\/24, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46682*v**3 - 7*v**2 + 79*v + 13?\nAnswer: 280092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 988, 989, 990?\n\"Answer: n + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 972 = 15*n. What is the tens digit of 15141\/15 - (-5 - n\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-1 - 4\/(-6)). Suppose -4 = l + 5*m, -5*m + 0*m = -a*l + 67. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u - 11. Let g(r) = 2*r + 22. Let z(h) = -2*a(h) - g(h). Let x(t) be the third derivative of -t**5\/10 + t**2. Calculate z(x(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20466, 40997, 61528, 82059, 102590, 123121?\n\"Answer: 20531*f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 - 3. Let s = -191 + 190.9. Let o(a) = -a - 2. Let m be o(0). What is the closest to s in m, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135724 divided by 6392?\nAnswer: 33931\/1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + 6*((sqrt(99)*1*-3 - -2*sqrt(99)*3)\/(6*(sqrt(576) - (sqrt(576) - sqrt(576)*1))))**2.\nAnswer: -735\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -5102?\nAnswer: 2040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235118274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/449 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8753510 and 0.06.\nAnswer: -8753509.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6940951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let d be (7 - 6)*15*y. Suppose -d = -3*m - 2*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:25 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -1793618*v**4 + 80887058*v**3 + 74661036*v**2 - 7824968*v + 194672 = 0?\nAnswer: -1, 46\/947, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6356 is divided by 986.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 + 122 + (6 - (52 - 8))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 5*m**2 - 10*m**2)*(3*m - 4*m + 2*m) + (-m**3 + 0*m**3 + 3*m**3)*((-3 - 3 + 5)*(4 - 2 - 1) - 2 + 5 - 1).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 359.418?\nAnswer: 355.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 40 = 5*i, -2*i - 14 = 3*h - 11 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 2 + -5 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(7) + -2)**2 + -3 + (sqrt(7)*2 - sqrt(7))**2)*2.\nAnswer: -8*sqrt(7) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 86*x - 1718. Calculate v(5).\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbyyb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1643214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10*-1 + 5746\/170. Suppose 4*n = -2*k + 3006, -2*k - 32 + c = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*c + 0 + 24\/5*c**3 + 26*c**2 - 22\/5*c**4 = 0.\nAnswer: -2, 0, 1\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/470824 and 179\/240.\nAnswer: 14124720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/31 and -57\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1038 + 11434\/11. Let t = 1345\/2 - 700. What is the common denominator of t and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4385 to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - -7) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -4*a + 5*a. Suppose 2*u = 4*u - a. Suppose 0 = -5*r + 3*t + u, 0*r + 3*t = 3*r - 15. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -64. Let y(r) = -23*r + 23. Let a be (-6)\/15*(-85 - 0). Let x(p) = -4*p + 4. Give a*x(t) + l*y(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177927?\nAnswer: 3, 127, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 2:50 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60, -1043, -2944, -5769, -9524, -14215, -19848?\n\"Answer: -q**3 - 453*q**2 + 383*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210140 is divided by 5837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11 + 4 + 26 - 9*y - 5. Let z be u(4). What is z rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -3, -33\/7 in descending order.\nAnswer: -0.1, -1, -3, -33\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372471174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25791 less than 0.00976019?\nAnswer: -25790.99023981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -274 + 275. Suppose 4*q = -d + 3*d - 194, -2*d + 145 = -3*q. List the prime factors of -2 + n + 4 - q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + s**2 - 2*s)*(-2 - 1 + 2) - 10*s**2 - 2*s**2 - s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 - 7143*l - 299859\/2.\nAnswer: -(l + 21)*(l + 42837)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*d = 590 + 118 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 745 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (0 + -6 - -28)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -529, -538, -551, -568?\n\"Answer: -2*f**2 - 3*f - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6079835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 2*c**3 + 2*c**3)*(0 + 0 + 2*c) + c**4 + 3*c**4 - 3*c**4 + 2*c**4 - 2*c**2 + 2*c**2.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1368 - 888. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-4))\/((-270)\/(-216)). Which is the third smallest value? (a) 5\/4 (b) j (c) -298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose -x*s - 1 = -11. Solve t + s*t - 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3655, -3654, -3653, -3652, -3651?\n\"Answer: f - 3656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154\/39 - -1961\/546. What is the closest to -1\/7 in x, 1\/3, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 459 = 4*a, a + 396 = -4*f + 5*a. What is the tens digit of 22\/5*f\/(-38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/2 + 234*c**4 + 5*c**3\/2 - 1170*c**2 - 2*c + 936 = 0. Calculate c.\nAnswer: -2, -1, 1, 2, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u + 4*m = -16, -u - 8 = 2*m. Suppose -29*l + 62 = -25. Solve u = i - 0*i + l*n + 12, i + n = -4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1344109 is divided by 671403?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {o: 9, y: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5734 - 3847 = -53*b - 5023 for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8 - 26*n - 5 + 3 + 1. Let l be f(-3). Calculate the common denominator of 97\/16 and l\/(-2)*21\/210.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -115, -261, -467, -733?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 33397471.8ms?\nAnswer: 0.0552206875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 30*b + 21. Let v be r(16). Find the first derivative of 107 + v*t - 293*t - 255*t wrt t.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14379844 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -168, -207 in decreasing order.\nAnswer: -2, -168, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93950274707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59729 + -13379319\/224. Find the common denominator of x and -50\/133.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*137303.\nAnswer: 15103.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 251836713 and 15.\nAnswer: 1259183565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 518?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 4*d**2 + 3*d + 3. Let v be -2 + (-3)\/(12\/8). What is the tens digit of l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + f - 358 = 3*f, -26 - 26 + 49 = -3*f for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 28 = 34. Let k = w - -115. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -43*f. Let c(m) = -142*m - 1. What is -4*c(r) + 13*s(r)?\nAnswer: 9*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29140 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -m - 9*o + 20, -o = 3*m - 39. Let n = 57\/106 - 4429\/795. Find the common denominator of n and (-22)\/(-8) + -1 + m\/21.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, v: 5}. Give prob of sequence vl.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 215. Let h = r + -11. Suppose 2*t - 7*t + 40 = 0. What is the highest common factor of h and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(2057) + 1 + sqrt(2057)) - (-1 + sqrt(170)\/(sqrt(20)\/(sqrt(2) - sqrt(32)))))**2*3*2.\nAnswer: -684*sqrt(17) + 36876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 + 13 + 1\/1)*2. Suppose -3*b - 7 = -a*l, -2*b - 9 = -2*l + 3*b. Solve l*c + 8 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-40)*(-215)\/(-1806)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -838*r. Let z(h) = 263*h**2. What is x(z(o))?\nAnswer: -220394*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 20*m + 20. Let l(x) = -18*x + 25. What is 5*a(n) - 4*l(n)?\nAnswer: -5*n**2 - 28*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.9. Let x = -0.4 - -5.4. Let y = 1\/245 - 148\/245. Which is the smallest value? (a) m (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 2542 - 4530 = 0. 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 cube root of 434880654 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 504905813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4453 - -4461. Let o(l) = -16*l. Let p(v) = -15*v - 1. Let n(t) = 5*o(t) - 6*p(t). Let d(s) = -s - 1. Calculate y*d(i) + n(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3655801*g + 22*g**3 - 2 - 3655801*g.\nAnswer: 22*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**3\/3 + p**2\/2 + 112*p - 212. Differentiate h(x) with respect to x.\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 40. Calculate s(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 d, and 1 l when four letters picked without replacement from llylkkldlllkdldllk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9609, 19673, 30647, 42987, 57149, 73589, 92763?\n\"Answer: 76*l**3 - l**2 + 9535*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 35326 (base 8) to base 5\nAnswer: 440222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6.094663619 - -2246\nAnswer: 2239.905336381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/18*432\/32?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w + 22*w**4 - 7*w)*(167 - 8 - 33) + 0*w**4 - 3*w**4 + 4*w**4.\nAnswer: 2773*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 > -250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1.7, -1\/2, 4\/9, -1\/6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 146286 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:42 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 16 = -5*x. Let i be (-2 - 13\/x)*2. Let s be 9\/3 - (2 - 1). Which is greater: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccg when four letters picked without replacement from {g: 7, c: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4\/4 + 27*g**3\/2 + 219*g**2\/4 + 81*g + 39 = 0. Calculate g.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1072\/280 + -4)\/((-9)\/30).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c93a12 (base 14) in base 12?\nAnswer: -2344a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1)\/((-9)\/(-540)). Calculate the greatest common divisor of 165 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*o + 5*z - 8 = 448*o, 4*z - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22994, -91940, -206846, -367712, -574538, -827324, -1126070?\nAnswer: -1470776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 17*b + 1. Let n(j) = 18*j + 1. Let z(c) = -4*i(c) + 3*n(c). What is the tens digit of z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*r - 122*r - 189*r - 14 - 72*r as c + q*r and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3 = 3*i + 18, 0 = 3*i - 3*t + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1085 - -3256\/3. Sort 41, -2\/17, 0.5, d.\nAnswer: -2\/17, d, 0.5, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224390 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -6 - 31 - -26) + (25 - 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155510465 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q - q - 5*q**2 + 6 - 4 - 1. Let c(d) = -5*d**2 - d + 1. Let h(x) = 3*c(x) - 4*s(x). Suppose -o + 3*o - 2 = 0. Give h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 75, 207, 497, 1023, 1863?\n\"Answer: 13*b**3 + b**2 + 38*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1732794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27682192 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1936 + -1940. Let j be (-3)\/(-7) - (5 - 410\/105). Let c = 4.2 - -0.8. Put s, c, 4\/7, j in descending order.\nAnswer: c, 4\/7, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46656865\/4388998 - -2\/95413. Which is smaller: z or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -80. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3583.481 years in centuries?\nAnswer: 35.83481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -917, -2216, -3515, -4814, -6113, -7412?\n\"Answer: -1299*j + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(6*x - x + 2*x)*(-x**2 + 3 - 3) + (x**2 + x - x)*(1 - x - 1) + 0*x**3 - 5*x**3 + 2*x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pkpppppkkpppkp.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/17 - 17412*q\/17 - 831168\/17.\nAnswer: -2*(q + 48)*(q + 8658)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -1\/21*m**3 + 1\/140*m**5 + 0*m**2 + 21*m + 1\/84*m**4 + 0. Determine q so that x(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*s = -0*s + 15, -51 = -u + 5*s. Suppose 8*t - 15 = 3*t, 0 = -5*w - 2*t + u. Which is the third smallest value? (a) -1 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009565 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 261145 times 0.151\nAnswer: 39432.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7410706.\nAnswer: 2, 43, 86171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339279?\nAnswer: 3, 113093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*i = 1051, 5*c - 9*c + 4222 = -i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 227999.7376529 - -24023.0410651. Let o = c - 252023. Let g = 0.221 + o. What is g rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -85, 0, 2.\nAnswer: -85, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.4 (b) -1 (c) -3\/5 (d) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 71. Let f be (-5)\/35*(x + -6). Suppose 1\/7 + 1\/7*t**2 - 8\/7*t**5 + 13\/7*t**3 - f*t - 2\/7*t**4 = 0. What is t?\nAnswer: -1, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*g**3 - 123*g**3 + 777*g**3.\nAnswer: 780*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0166 + 21.0834. Let p = c - 22. Let w = -0.8986 - p. What is w rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1 - 8 + 7 - 6*t. Let d(c) be the first derivative of 3*c**2 + 2026. Calculate b(d(l)).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 12243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27137813*q + 84683562?\nAnswer: 27137813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (205 + 179 + 64)*(-14 - 21 - 8*g + 36).\nAnswer: -3584*g + 448","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3099835?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 63*a + 5631. Calculate c(-76).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkpkkkkkkkkkk.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 24 - (1 - (40 - 11) - 30).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92.04 + 91.94. What is the third smallest value in 2, -0.2, 25\/7, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30945?\nAnswer: 3, 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52999*x - 52999*x + 1 + 9738*x**2.\nAnswer: 9738*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3 + 15*r**2 + 949*r wrt r?\nAnswer: -6*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -105. Is (3 + -5)\/(-2) - (j + -4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**3 + v**2 - v + 1. Let z(x) = -x**2 + x - 2. What is y(l) + z(l)?\nAnswer: -6*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqqpqqqqqqq. Give prob of sequence qq.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a milligram in micrograms?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 3*m**2 - 5*m + 5. Let f(p) = 5*p**3 - 1 - 4*p**3 - 686*p**2 + 685*p**2 + p. Give -5*f(q) - h(q).\nAnswer: -3*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1318.1, 92\/3 in increasing order.\nAnswer: -1318.1, -4, -3, 92\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 77 - 7 = 0. Suppose -3*u = 2*u + 3*b - k, 3*u = -5*b + 18. Is -15 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + sqrt(91) + -1*sqrt(91))*-2 - sqrt(91)) + sqrt(91) + sqrt(91))\/(6*(sqrt(63) - sqrt(7)) + sqrt(7)).\nAnswer: -sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 230451 less than or equal to 230697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/(20\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 410 + -154. Let l = 597 + t. Suppose 0 = -5*k + 162 + l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = -2*z, z = -o + 2 - 7. Let i(m) = -m**3 - 6*m**2 + 3*m + 11. Let q(x) = -x - 1. Let r(y) = -i(y) - 6*q(y). Determine r(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 25 + 5*i**2 - 6*i**2 - i**3 + i - 24. Let c be j(-2). Solve 1\/4*x**4 - x**3 - 1\/2*x**2 + 9\/4 + c*x = 0 for x.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 2, c: 1, r: 2, v: 7, q: 1}. What is prob of sequence vr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 47*n**2 - 20*n + 28. Let d be y(23). Let l(v) = 34*v**2 + d*v - 44*v - 53*v. Let b(z) = 7*z. What is l(b(f))?\nAnswer: 1666*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 286*k - 4589. Calculate t(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 7. Let k be o(-16). Let l = 60 - k. Solve l*a + 6 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 17*t**2 - 149*t - 736. Give f(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302403755?\nAnswer: 5, 89, 457, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 39155831 divided by -143\nAnswer: -273817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -2*c**3\/3 - 23*c**2 + 48*c + 463. What is g in o(g) = 0?\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2566596 and 28044?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 0)*((-1138)\/(-6) - -2). Let o be (30\/z)\/(1*2\/(-5)). Is 1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174449 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**2 + 13*v**2 - 12*v**2 + 24*v**2 + 3*v**2.\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/5 + 551*l**3\/5 + 10639*l**2\/5 + 10089*l\/5 = 0.\nAnswer: -531, -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:11 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24865 + -24844. Calculate the remainder when 153 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6545*-0.3.\nAnswer: 1963.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918719 divided by 213191?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 12, 3*k + 21 = -5*y - 0*k. List the prime factors of y - (-162 - (-7 + 8)).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:30 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131212 (base 4) to base 11.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 18*n**2 + 3*n - 20. Determine m(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)*j*j*(j**(-1\/3)*j)\/j*((j\/(j*j**8*j))\/j*j)\/(j\/j**(-4\/7)) assuming j is positive.\nAnswer: j**(-229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5620.074 - -5621. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(0 + 1))\/(1\/(-6)). Solve -z + v = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3\/5 + 111*b**2\/5 - 1344*b\/5 + 5292\/5 = 0. What is b?\nAnswer: 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*j + 58 = 0, x + 106 = -4*j + 62 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 133. Let o(u) = 12*u + 397. What is 2*o(n) + 7*p(n)?\nAnswer: -4*n - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 3*i. Let w(h) = 2*h**2 - 4*h. Let j(p) = -4*c(p) + 3*w(p). Let o(m) be the third derivative of -5*m**4\/24 + 1073*m**2. Determine o(j(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 9 + 1 + (819 - 801)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7600 + 7694.0265. Let s = -94.9764 + 0.9764. Let g = c + s. What is g rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n**2. Let u(g) = -11 - 2*g**2 + g**3 - 2*g**3 + 11. Let x = -4704 - -4701. Calculate x*c(z) - u(z).\nAnswer: -2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (335*a - 175*a - 169*a)*(3*a + 2*a - 4*a) - a**2 + 5 - 5 + a - 6.\nAnswer: -10*a**2 + a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (9 - 12)) + (-6 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1360 and -23\/8164?\nAnswer: 2775760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1661, 3385, 5109, 6833?\n\"Answer: 1724*c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 80 - 2572*v - 2562*v + 5151*v. Give s(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -316, 196172, -1.\nAnswer: -316, -1, 196172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*o - 27 + 15 = 0, 0 = -5*s + 2*o + 12. Solve -s*b = -5*i + 30, 0*i + 3*b + 11 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Suppose -p + 3 = 8*g. Suppose -6*b + b + 605 = g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 3. Let l be 1\/(g\/24) - 3. Is 0 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 1679459286444?\nAnswer: -1679459286436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b + 0*b)*(-b + 2*b - 3*b) + b**2 + 3*b - 3*b + (16*b - 10*b - 10*b)*(-9*b + 36 - 36).\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001567604338 to seven dps.\nAnswer: -0.0001568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/1320 - 1\/(-5)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 17*v**2 - 18*v + 22. Let z be a(-15). Let k be (-1)\/(-5) - z\/10. Suppose 4*w + k = 0, 4*w + 160 = 3*b - 207. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000610748 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 18, 25, 34?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 + 354 + 2*a**3 + 4*a**3 - 2246*a - 4*a**3 + 2275*a.\nAnswer: 2*a**3 + 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 6*w**2 + 0 - 2\/3*w**3 + 1\/60*w**5 + 5\/24*w**4 + 0*w. Calculate v(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*m**3 - 20*m - 271 with respect to m.\nAnswer: -15*m**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323202 greater than 19\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.017738133 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 440630 or 440629?\nAnswer: 440630","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -4\/14175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 136 = -j - 118, -5*j + 24 = 4*x. Suppose 0 = 3*k - 2*k - 4. Factor y**2 + 7\/3*y**4 + j - k*y**3 + 2\/3*y.\nAnswer: y*(y - 1)**2*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 - 435128*f**2\/3 - 870250*f\/3 - 435124\/3.\nAnswer: -2*(f + 1)**2*(f + 217562)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k + 0*k**3 + 0*k**4 - 2*k**2 + 0 + 1\/60*k**5. Let f(j) = 2*j. Give f(c(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 8) in base 12?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22159 (base 11) to base 16.\nAnswer: -7d81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 7*n**2 + 3*n - 2. Let x(o) = -7*o - 1. Let h be x(5). Let k = -20 - h. Calculate the lowest common multiple of v(-6) and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22961 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2)\/(-18) - -3*602\/378. Let o(d) = -2*d + 6. Let v(h) = 2*h - 6. What is c*v(k) + 4*o(k)?\nAnswer: 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3*90\/12. Suppose -3*c + 7 = -5. Suppose -v*s + g = -26, 2*s - 6*g + 4*g - c = 0. What is the least common multiple of s and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -1030488?\nAnswer: -1030485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2 + 4. Let k(r) be the second derivative of 3*r**4 - r**2\/2 + r. Is k(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 24. Let l(h) = 6. Suppose t + 7 = -4*d, 0 = 10*d - 9*d + 5*t + 16. Let v(s) = d*b(s) - 4*l(s). Let k(y) = -y - 16. What is k(v(o))?\nAnswer: 2*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*c + 35, 0 = -7*c + 2*c. Let q(n) = n**3 + 7*n - 4*n + 5*n**2 + 0 + d. What is q(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 778 = -25*w. What is the remainder when 71 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2333 or -56259?\nAnswer: -56259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289\/2 - -162. Calculate the common denominator of 89\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12)*(-9)\/2. Suppose w*v - 27 = -0*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmrmmmmmmmmmmmrmmmm. Give prob of picking 3 m and 1 r.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 2*v - 15. Let g(j) = -2*j**2 - j + 7. Give -7*g(h) - 3*r(h).\nAnswer: 2*h**2 + h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12\/150*-5*5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 1 - 2*z - z**2 - 2*z**2)*(332*z - 666*z - 1 + 343*z).\nAnswer: 9*z**3 - 19*z**2 + 11*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 106068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 11 = -6*u + 2*u + 2*g, -2*u = 24*g + 122 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + 2*h**2)*((8*h - h - 2*h)*(-4 + 5 + 4) + h + 4*h - 2*h).\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.8 + -7.799999829. What is m rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 1010 = -234. Let i = d + -43. What is the smallest common multiple of i and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43 + -6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(((u**2*u*u*u)\/u)\/u)*u*u)))\/(u**(-7\/5)\/u))\/(u**6)**(-2\/11))**(-7\/2) assuming u is positive.\nAnswer: u**(-672\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14) + 37 + -38\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5509.999 millimeters in kilometers?\nAnswer: 0.005509999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 13 = 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832857?\nAnswer: 13, 140989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242150 divided by 29.\nAnswer: -8350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.1 + -5.24. Is l bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b - 3*b + 15*b - 2*b**2 + 5 - 6*b to k + w*b + y*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-4\/11)))\/t)\/t**0 assuming t is positive.\nAnswer: t**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 7 + 5. Let f be (-75)\/x*(-1164)\/(-3). What is f rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-10)\/2 - 0). Let x = -163 + 162. Does 16 divide (-372)\/g*x\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/(9\/(-12)). Let p be (-2 + -2)\/(3 + -1). Let l(k) = -3*k**3 - k**2 + 2*k - 1. Let c be l(p). Solve 3*s + c = -3*f, s - 2 = h*f + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1246504 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603796 is divided by 627.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.17762 meters?\nAnswer: 0.00017762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418508 by 209254.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 45. Let m = 2.2 + -1.8. Which is the nearest to 0.2? (a) i (b) -3\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27385489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*u - 5*s, -3*u + s = -0*u - 4. Let t = 447 + -455. Let h(z) = 4*z**2 + 2*z + 2. Let r(p) = 11*p**2 + 5*p + 5. Determine t*h(m) + u*r(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19378*b*d + 2*d - 8639 wrt b.\nAnswer: 19378*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 4*c + 9. Let k be n(7). Sort -4, k, 5, 1.\nAnswer: k, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222221 (base 3) in base 8?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -38 - 9\/2*f**2 - 1\/4*f**4 - 31\/5*f**5 - 5*f + 0*f**3. Find the second derivative of g(h) wrt h.\nAnswer: -372*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35990.675 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 232763*l + 1190. Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 3675 - 6369 + 4558)*(7*z**2 + 4*z**3 - 7*z**2) to f*z**3 + i*z**2 + o*z**4 + c + m*z and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(275)*-1*-4 + sqrt(275) + (0 + sqrt(275) + 3)**2 - (0 + (sqrt(275) - (-1 + sqrt(275) + -5)))**2).\nAnswer: 275*sqrt(11) + 1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 8 = -4*i. Let y be 9\/(-2)*i\/(-3). Suppose y*c = 15 + 6. Which is smaller: c or 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1000)\/7000*31*7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.4 (c) 1\/3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/20 - 16\/(-15). Let q(h) be the second derivative of 0 + 0*h**2 + 1\/10*h**5 + 4\/3*h**3 + a*h**4 + 2*h. Find n, given that q(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10*h**(1\/11)*(h**(5\/2)*h)**(-1\/10))**(2\/35) assuming h is positive.\nAnswer: h**(2143\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:37 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/20)*s*s\/(s*s\/(s\/(s*(s*s**(-4\/11))\/s))*s))\/((s*s**32*s*s)\/s*(s**0\/s)\/s*s) assuming s is positive.\nAnswer: s**(-7147\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1908)\/(-42))\/6 + (-4)\/7. What is the highest common factor of f and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 8, r: 4, t: 1, d: 1}. What is prob of picking 1 d and 1 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/3183 - -54143\/50928. What is the common denominator of r and 4\/(-10) - (-269)\/60?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -69*z + 1. Let b be f(-1). Find the second derivative of b*t - 27*t - 5*t**5 - 36*t wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 0*i - 111*i**2 - i**3 + 6*i + 106*i**2 + 8. What is the units digit of d(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 22. Let m = 29 - s. Suppose -3*v + t = -0*v - 378, -m = -5*t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 5103 = -3297. Suppose -35*y - g = -31*y. Which is smaller: -83 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 4, 15 in increasing order.\nAnswer: -4, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73824.81 millilitres in litres?\nAnswer: 73.82481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*sqrt(16)\/(sqrt(2)*4).\nAnswer: -4 - 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 556a75 (base 15) to base 11\nAnswer: 23318a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-7)\/(-9) + -1). Let r = 10 + -6. Suppose 27 = 7*n - r*n. What is the highest common factor of n and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/125?\nAnswer: 4\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616 and 1547237384?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616703484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -110210210001222 (base 3) to base 14\nAnswer: -c92469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 8:50 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 896994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -12. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8122*n - 61. Is l(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 19*c + c - 5*c + 0*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 - 17*h**2 + h - 1. Let k(l) = -2*l**3 - 9*l**2 - 1. Let w(g) = 5*k(g) - 3*r(g). Determine w(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -676713 divided by 3\nAnswer: -225571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Let w be -1 + 1 + -1 - (-32)\/8. Which is the closest to 0.2? (a) 1\/2 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 2*t. Let y be j(2). Let m be (-84 - 1)*(-8)\/y. Let h = 58 - m. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**2 - 152*m - 768 = 0.\nAnswer: -32, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, w: 6, d: 1, j: 1, h: 2, k: 2}. Give prob of sequence js.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32607354 to the power of 1\/2, to the nearest integer?\nAnswer: 5710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiorhriiiioeqir. Give prob of picking 1 q and 1 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 12 + 31 + 3357*t**2.\nAnswer: 3357*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*u**2 - 61*u**2 - 145*u**3 - 2*u**3 - 12812*u + 4264*u wrt u.\nAnswer: -882*u + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:56 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/24 - 11*p**2\/2 + 89*p\/8 + 348. Solve i(y) = 0 for y.\nAnswer: -89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/238)\/(25\/(-175))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576\/10 + (2 - (-39)\/(-15)) is divided by 6*1\/(-5)*-10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h*k*s**2 - 2*h*k*s + h*s**2 - 94*h*s - 2*k*s**2 wrt s?\nAnswer: 12*h*k + 2*h - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -8. Let t = h - 0. What is the remainder when 7 is divided by (-1 + -1)\/2*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (3 + 1)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/3))**(3\/31))**(-5))**(-50) assuming l is positive.\nAnswer: l**(250\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 854, 1915, 3400?\nAnswer: 5309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*b - 606 - 1194 = 0. What is the third smallest value in 0.4, 0.5, 0, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -88.000000629. What is j rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240651 is divided by 48084.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 5 + -5 + 3. Suppose -7*p = -c*p + 5*w - 455, -2*p + 3*w + 207 = 0. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 - 4*n**4 - 5*n**4)*(6 + 3 - 7).\nAnswer: -26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*j + 41070*d**3 + d**2*j - 94*d*j - 2*d - 21 wrt d.\nAnswer: 6*j + 246420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -120.65213?\nAnswer: -121.15213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + f - 86, 0 = 5*r + 5*f - 2*f - 440. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + -103 + -3 - (374 - 378) - 14.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(8\/12) + 1 + 1. Let h(t) = 3*t**2 + 8*t - 6. Let d(b) = 2*b**2 + 5*b - 4. Let i(c) = x*h(c) - 7*d(c). Let z be i(-7). Solve -z = 3*y - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 54, 3, 0.3, -1\/10, 86?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*i + 1 - 1 + 7.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f - 1066 - 1560 = -337 - 201 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -9, -5, 0, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3425 (base 12) in base 2?\nAnswer: 1011010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a**2*x + 22281791*a**2 + 440899*a*x + 4*x wrt x.\nAnswer: 4*a**2 + 440899*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107588 and 22?\nAnswer: 1183468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-76)\/16)*-8. Solve z*b = 22*b + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*s - 1810*s + 202*s - 657*s + 132*s)*(0 - 5 - 1).\nAnswer: 13872*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200373 is divided by 552?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110 - -219. Suppose -1452 = 9*a - 1542. What is the remainder when h is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.176 - -1.8. What is g rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.5, 17\/1146, -0.1 in decreasing order.\nAnswer: 4.5, 17\/1146, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1515, 1546, 1587, 1632, 1675, 1710, 1731, 1732?\n\"Answer: -u**3 + 11*u**2 + 5*u + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8*1*-9*98\/(-441)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:11 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - w)*(-7 + 3 + 3)*(-2*w**3 - 5 + 5)*(-w - w + 0*w).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d, -2*r - r + 5*d = -16. Let h be (-22)\/11 + 2*r. Suppose -2141 = -2*y - t, 4*y - 2144 = h*y - 2*t. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 37. Suppose -4*i = -20, 3*a + 2*i = -2*i + c. Let t(b) = 2*b**2 - 1. Is t(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.61499 rounded to one dp?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5870692 and 12?\nAnswer: 17612076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/3 + 24941767*b**3 - 1399706380022497*b**2\/3 - 466568868166135*b + 2799412909695602\/3 = 0. What is b?\nAnswer: -2, 1, 37412651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3375 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29122*j**4 - 477*j - 29.\nAnswer: 349464*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -96\/277 and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 2. Let y be h(-4). Let o = -2 - y. Suppose 4*k - 17 = 5*r - 2*r, 8 = 3*r + k. Put r, 5, o in decreasing order.\nAnswer: 5, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - -88)\/(-1*(-5)\/5) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 86 = 2*m, -55*m + 59*m = 5*z + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23167882247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6950 divided by -5?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -24*b + 30. Let s be d(-10). Calculate the highest common factor of 54 and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -1\/19, -0.1 in ascending order.\nAnswer: -0.1, -1\/19, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6671, -68, 4\/11, 4.\nAnswer: -68, 4\/11, 4, 6671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 8. Solve 3*u + a = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 - 27*h**2 + 517 - 1037 + 29*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1286636 by -52.\nAnswer: -24743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 30*v - 216. Let c be f(17). Solve 0*g = -5*g - c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {g: 2, l: 4, i: 8}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:29 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 3 + 3 + (-1 + 1 + 1)*(j + 2 - 2) - 840 + 417 + 64*j + 414 to the form q*j + p and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91987*k + 0 - 80084*k + 0 + 39033*k)*(-2 - 3 + 3).\nAnswer: 266076*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z + 20*z**3 - 2*z**4 - 6*z**3 - 17*z**3 to q + v*z**2 + o*z + d*z**3 + p*z**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 1 - 7. Suppose -r*g = -6*g + 135. What is the remainder when g is divided by 12\/10*(-5 - -15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 plus 5719?\nAnswer: 5852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*(297\/(-18))\/11. What is the third derivative of 5*m**2 - m**q - 26*m**5 + 34*m**5 - 24*m**5 wrt m?\nAnswer: -960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3 - 280*v**2 - 9514*v + 20164 = 0?\nAnswer: -71, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 56*r**2 - 70*r - 736. Calculate j(-57).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 25*h**4\/24 - h**3 - 14*h**2. What is the derivative of u(y) wrt y?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 0 + 194\/3*g**3 - 14\/3*g**5 - 158\/3*g**2 + 38\/3*g**4 - 20*g = 0.\nAnswer: -3, -2\/7, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 368381 + -103146811\/280. Calculate the common denominator of 91\/12 and o.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -23, -31, -39, -47?\n\"Answer: -8*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g. Let l be (g + 2\/(-6))\/(-1). Let c be 8\/28 - 44\/105. What is the closest to -2\/5 in c, 0.1, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -12*c - 43. Let z be h(-18). Let g = z - 173. Solve g = -v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*a**3 + 3675\/2 + 3255\/4*a - 51*a**2.\nAnswer: 3*(a - 35)**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1456 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -43*i + 342, 101*i = 83*i + 4*u + 140 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 126, 185, 238, 285?\n\"Answer: -3*f**2 + 68*f + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449561?\nAnswer: 7, 64223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 46023752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -22*a + 20. Let u(m) = 99*m**2 + m + 1. Let s(v) = -291*v**2 - 3*v - 3. Let q(b) = -s(b) - 3*u(b). Give q(i(f)).\nAnswer: -2904*f**2 + 5280*f - 2400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(19) - (sqrt(2736) - (sqrt(2736) + sqrt(2736)*1))).\nAnswer: -1 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 89 = -35*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -417.5+-3.20859679\nAnswer: -420.70859679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 6*d + 41120. Suppose 3*v = d + 1829. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35358264 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11264024*h**4*o**3 - 2*h**4*o - 30*h**2*o**3 - 7797*h**2 + 17*o**3 - o**2 + 3 wrt h?\nAnswer: -270336576*h*o**3 - 48*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6157516 to the power of 1\/2, to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769857 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 25611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 6.1 (c) -3 (d) -0.3 (e) -0.9 (f) 0.52 (g) 2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/28 - -5)\/(((-18963)\/(-13034))\/(-129)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c - 91. Let q be n(7). Suppose q = -4*f + 3*f - 5*o + 408, 3*f = -4*o + 1224. Calculate the remainder when f is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -114*k**2 - 7*k - 8. Let i be b(-1). Are i and -115 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 76 - 2. Suppose 5 = q + a. Is q less than -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 13*u**2 - 89*u - 10. Calculate w(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00344 * 39.\nAnswer: 0.13416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 714357 divided by -203\nAnswer: -3519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12653.605+-3.6583\nAnswer: 12649.9467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4927506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l = 69*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkhfpfl. What is prob of sequence lp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88226 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -43460510 to the nearest 10000.\nAnswer: -43460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 6*g**2 - 7*g + 6. Let d = 342 + -217. Suppose -40 + d = 5*i. Suppose -5*y = r - 2*y - i, 0 = -3*r - 4*y + 31. Calculate o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -506 - -748. Let o = p - 93. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 + 0*f**2 - 4*f**2 - 4*f**2 + 3*f**2 - f**2 + (3*f + 4*f - 5*f)*(-2*f + 4*f - 3*f) - 3 - 2*f**2 + 3 as m + k*f**2 + d*f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13191 + h**3 + 13208 - 4*h**3.\nAnswer: -3*h**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 2666.\nAnswer: 15996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + m - 15 = -4*m, n + 12 = 4*m. Let a(q) = -12*q**2 + 3 + n - q**3 - 11*q - 1. Let g be a(-11). Solve 4 = 2*v, -2*v = d + g*v - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189*f**3*i**3 + 6*f**3*i**2 + 32*f*i - 2*f + 17*i**3 - i**2 wrt f.\nAnswer: 1134*f*i**3 + 36*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -0.17. Let a = 14 + -17. Let q = a + -1. Put 0, q, y in decreasing order.\nAnswer: y, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35533034 + -14?\nAnswer: 35533020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 42*y**2 + 82*y + 80. Let h be v(-40). Put -3, -363, h in descending order.\nAnswer: h, -3, -363","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*r = 39*r + 24878. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(495)\/sqrt(9) + sqrt(220)*4)\/(-3*(4*sqrt(396) - sqrt(11) - sqrt(11))*4))**2.\nAnswer: 5\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((2394\/(-7))\/6)\/(6\/(-2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, z: 1, m: 4, l: 2, e: 2}. What is prob of picking 2 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -611 + 3671\/6. Let h(o) be the first derivative of -7 + 0*o - s*o**3 + 5\/4*o**2. Let h(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (2\/(-4))\/((-2)\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 0*q + 2*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmjm when four letters picked without replacement from mjmmzzm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -6. Suppose 0 = -t + j*t + 8. Put -1, t, -5 in decreasing order.\nAnswer: -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*k - 20, -k + 3*i + 18 = -2. Suppose 3*m = -2*r + 6, -3*m - 5*r + 15 = -0*m. Suppose 5*c = -s - 17, 5*s + 4 = -c + 3*c. Sort m, k, c.\nAnswer: c, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/7)*(w\/w**1*w)\/w*w)\/(w*w\/(w**(-1)\/w)*w\/(w**(1\/5)\/w)*w))**(-43))**(-19\/6) assuming w is positive.\nAnswer: w**(-26961\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27996 - 27993. Let b = -1.1 - -0.7. Put b, -4, 6, a in descending order.\nAnswer: 6, a, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -108*i + 44. Let o be s(5). Let j = 502 + o. Solve -2 = d - j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -199?\nAnswer: 5\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006892055 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126445760 and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -533.1 - -511. Round s to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20210 (base 3) to base 4\nAnswer: -2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (1 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 1793*f**4\/2 - 676*f**3 - 11678*f. What is the second derivative of s(v) wrt v?\nAnswer: 21516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1.1, -1, 32\/3, -4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*o + 151*o + 3716*o**3 - 1890*o**3 - 1824*o**3 - 30*o.\nAnswer: 2*o**3 + 374*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8703, 34820, 78359, 139326, 217727, 313568, 426855?\nAnswer: 557594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 17 = 7. Suppose 4*m = -0 + o. Is m\/9 + (-1029)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:24 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -953 + 2420. Solve -c + 1515 = -8*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*y - 106 + 50*y - 3*y - 111*y + 112 to l + p*y and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -0.7. Let j be 88\/20 - ((-3)\/5 - -1). Let a be 132\/(-24) + (j - -1). What is the fourth smallest value in a, i, 3, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21485 = 34*t - 62251. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 111198, 444794, 1000786, 1779174, 2779958?\n\"Answer: 111198*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 82506 = -5*g, 96*s + g = 91*s + 137510. List the prime factors of s.\nAnswer: 2, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i**4\/9 - 6052*i**3\/9 + 15570*i**2 + 274336*i\/9 - 60424\/9 = 0.\nAnswer: -2, 1\/5, 26, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14787 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.1, -3, -89062, 4 in ascending order.\nAnswer: -89062, -18, -3, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n**4 - 8*n**4 - 61*n**3 + 69*n**3 - 5*n**4 - 2 to the form l*n + b*n**3 + c*n**2 + s*n**4 + f and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -1\/20*j**4 + 0*j**3 - 7\/40*j**6 + 17\/100*j**5 - 9\/2*j**2 + 0*j + 19. Let f(g) be the second derivative of m(g). Factor f(w).\nAnswer: -3*w*(5*w - 1)*(7*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1093597.5 months to decades.\nAnswer: 9113.3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -202, 5, 1, -11 in decreasing order.\nAnswer: 5, 4, 1, -11, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 55882926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-20))\/(((-4)\/2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 - 5*z**3 + 4*z + 7*z**2 - 5*z**3 - 11 + 6*z**3. Let l be s(5). Let k = l + -10. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - h - 2 = 0, -24*h + 14 = -3*b - 19*h. Let l(a) = 2*a + 7. Let w(g) = g - 1. What is b*w(c) + l(c)?\nAnswer: -c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 920038986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4818610987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 6. What is a(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*b - 184*y + 100*y + 85*y, 0 = -b - 2*y - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3735*u. Let t(m) = 1141*m**2. What is t(l(i))?\nAnswer: 15917206725*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 12*r**2 + 11*r - 132. Calculate f(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 25\/2*m**2 + 1\/12*m**4 - 5\/3*m**3 + 0 + 12*m. Let v(h) = 0. What is h?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 i when three letters picked without replacement from wwkwvivwgwwwwvivi?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -19c68241?\nAnswer: -19c68245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*q - 92 = 0, 3*u - 68 = u + 3*q. What is the highest common factor of 252 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248336?\nAnswer: 2, 140521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 849 and 1106247.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1324 (base 5) to base 2\nAnswer: -11010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + 100. Is p a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -88, -137, -192?\n\"Answer: -3*w**2 - 34*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 5*r - 5. Let f be (10\/(-3))\/((-10)\/15). Let k(u) = -u**2 - u - 1. What is f*k(n) - h(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 241474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**2 + 0 - 15*x**4 - 9\/2*x**3 - 179\/10*x**5 - 7\/10*x**7 + 7*x**6 - 94*x. Factor i(p).\nAnswer: -3*(p - 3)**2*(7*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 7*l**2 + 7*l + 11. Let r be c(8). Let q = r + -20. Let h = q - -27. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1770354902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 13618 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*i = -569 + 464 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 + 4*q**3 + 2*q**4 - 3*q**3 + (-q**2 - 11*q**2 + 4*q**2)*(2*q**2 - 5*q**2 + q**2).\nAnswer: 15*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(15\/(-9)))\/((-4)\/8). Let 18\/5*u**3 - 46\/5*u**4 + n*u**2 - 2\/5*u + 0 + 24\/5*u**5 = 0. Calculate u.\nAnswer: -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3053 - 9?\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36881 = 135*v + 32156 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 32. Let u(b) = 2*b**2 + 11*b - 98. Let r be u(11). Let h = -257 + r. What is the smallest common multiple of i and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002326948 to six dps.\nAnswer: -0.000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 3. Let x(o) = 1. Let d(u) = 1. Let y(g) = 6*d(g) - 7*x(g). What is -m(n) - y(n)?\nAnswer: -3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50*(3\/6)\/1. Suppose 0 = 5*n + q, 4*m + n + 517 = 1644. Suppose -17 = -5*g + m. Calculate the greatest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-8) - 12\/48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/3 - 1494*z - 130819\/3 = 0.\nAnswer: -29, 4511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -23, -62, -117, -188?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42746660 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) - (4 + 3*sqrt(128)).\nAnswer: -16*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t - 46. Calculate b(13).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25227 is divided by 212.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**(-3)\/y)*y)*y*y*y**20\/y*y*y assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -82. Suppose w = -3*q + 5*q - 24. Let y = -3 - -15. What is the greatest common divisor of q and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.3, -22\/53?\nAnswer: -22\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Suppose -5*v - c + 3*c = -16, -14 = -q*v + 2*c. Find the second derivative of 2*m**2 - v*m + 10 - 10 wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1827705 years in months?\nAnswer: 2.193246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2371590768 by -6.\nAnswer: 395265128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (31 - 36)) + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y - 8. Let q = y - -2. Suppose q = 6*s - 4*s, -2*m = 5*s - 48. What is the highest common factor of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 12:46 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 375 = 5*s, 2*s - 2*r + 4*r + r - 163 = 0 for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 65\/(-25) + (5 - 8)*-1 - (-4284)\/(-210)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -323406 (base 7) to base 16\nAnswer: -dc86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/105? (a) -11 (b) 7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*q - 4. Suppose 0 = -2*r - q*r - 84. Is ((-56)\/(-24))\/((-1)\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 4, v: 2, e: 2}. Give prob of picking 2 t and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:32 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.39 - -3. Let i = k - 0.01. Which is the smallest value? (a) i (b) 10 (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(-1 + (sqrt(153) - (0 + sqrt(153) + sqrt(153) - sqrt(153) - sqrt(153))) - (4*-4*sqrt(153) - sqrt(153)))**2*-1.\nAnswer: -2700*sqrt(17) + 1239325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -201, -294, -387, -480, -573?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19954, -39911, -59868, -79825, -99782?\n\"Answer: -19957*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 7*a**2 - 1 + 0*a - 3*a. Let k be s(-2). Let d = k - -38. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 410 and 70?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*i - 3 = 0, -5*p + 0*p = -2*i + 2. Solve 0 = -p*m - m - 2*o - 10, -16 = -2*m + 5*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0 (b) -3 (c) -0.2 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26912?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 1, -29, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 5748?\nAnswer: 5729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 + -6 + (-2544)\/(-440)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5851015.\nAnswer: 5, 1170203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyy when three letters picked without replacement from {y: 5, c: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 73*o + 5111. Determine s(-70).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 4. Let b be r(2). Suppose -15 = 9*z - b*z. Let x(v) = v**3 + 3*v**2 + 2*v + 2. Give x(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-95)\/(-19))\/((-1)\/(-2)))\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -205906 at most as big as -205906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 11\/((-44)\/576). Suppose -i = -5*q + 17. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -19308.\nAnswer: -19307.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = 8. Let k be 4\/q + 2 + 0. Suppose -7*t - 32 = -k*i - 3*t, 2*i = -3*t + 26. What is the greatest common divisor of 80 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -557 - -556.6. What is the third smallest value in -0.1, w, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, s: 1, u: 6}. What is prob of picking 1 r and 2 u?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 1\/5 (c) 1\/236 (d) -2890\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49134 is divided by 1563.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 39718 - 3?\nAnswer: 39715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11053 or -1?\nAnswer: -11053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*k**3*w - 329*k**2*w**3 + 2527*w**3 wrt k.\nAnswer: -15*k**2*w - 658*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 3400605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -91 + (1 - -20) - -54\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 125506311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 g when four letters picked without replacement from sgskgsssssgkgs.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 77*f - 22. Let h(t) = -26*t + 8. Let g(i) = 8*h(i) + 3*s(i). Differentiate g(d) wrt d.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**2\/7 - 222256*u\/7 + 88904\/7.\nAnswer: -2*(u + 22226)*(5*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let y(o) = o + 2. Let d(q) = 3*f(q) - y(q). Let s(m) = 2*m - 3. What is 4*d(r) - 3*s(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 14*y**2 - 40*y - 23. Calculate the remainder when 6636 is divided by b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 179, 1, 0.2, 3, -379 in descending order.\nAnswer: 179, 3, 1, 0.2, -3, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:07 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 3:07 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -428\nAnswer: -85.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**9\/3024 - q**8\/1680 + q**7\/840 + q**6\/360 + 31*q**3\/3 - 57. Let c(j) be the third derivative of p(j). Factor c(z).\nAnswer: -z**2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y. Suppose -3*r = -r + 10, y = 4*j + 5*r - 19. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5821.\nAnswer: 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 216.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -31*k**2 + 13*k + 9. Let x(r) = 6*r + 2*r**2 + 6*r**2 - 3 - 23*r**2 + 7. Give 4*f(o) - 9*x(o).\nAnswer: 11*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d**2. Let t(q) = -15*q**2 + 8*q + 16. Let w(m) = -8*m**2 + 5*m + 10. Let f(l) = -5*t(l) + 8*w(l). Give f(x(i)).\nAnswer: 1331*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -2*p**5\/5 - 181*p**2 + 995*p + 1464. Differentiate w(i) wrt i.\nAnswer: -8*i**3 - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 75. Let n = i - -37. Solve n = 5*p - p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 378466*-0.04\nAnswer: -15138.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w = -5*d + 140, -5*d + w = -140. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233 (base 6) in base 4?\nAnswer: -10311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2113*v - 1. Let w(i) = -20*i**2. Calculate u(w(t)).\nAnswer: -42260*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (10 - 1) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-21) + (64\/(-3))\/(-4). Suppose w*j - 8 = j. Find k such that -2\/3*k**j + 2 + 4\/3*k = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 2\/(-1))*2. Solve 5*k - n + 6 = -0, k + 3 = d*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(4\/(-6)). Let w = 12 + -17. Let g = 0.45 + 3.55. What is the second biggest value in n, g, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 122959820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71603653 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 668 - 665. Solve -r - 6 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -542, -1083, -1626, -2171, -2718, -3267?\n\"Answer: -c**2 - 538*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = -2, 37 = 2*s + 3*t. Calculate the remainder when 53 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k + 24 = 0. Let n be k\/(-30) - (-38)\/(-70). Which is the nearest to -0.1? (a) n (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.99 + -4.09. Which is the nearest to o? (a) -2 (b) -278 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29758 + 4\nAnswer: -29754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 14 = 0. Let m be (-10)\/3*90\/(-12). Solve -g*l = -2*l - m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 8:40 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 (base 16) in base 13?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b**3 + 7*b - 7. Let n(y) = 8*y**3 + 5*y - 5. What is 5*j(f) - 7*n(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-12)*m*(m\/(m\/(m\/(m**(7\/2)\/m*m)*m)))\/m assuming m is positive.\nAnswer: m**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from xoushys?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575008.\nAnswer: 2, 83, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 22. Is (-301)\/(-2) + f\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c + 24. Suppose 117*u + 6438 = 5970. Sort u, 1, -3, c in descending order.\nAnswer: 1, -3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18102, 73645, 166714, 297315, 465454, 671137, 914370?\nAnswer: 1195159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3011221233 (base 4) to base 14\nAnswer: -171075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and 66914?\nAnswer: 19405.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*q = 42*q - 1 + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.215 - -0.315. Which is the closest to x? (a) -0.2 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.08762 (c) -2\/13 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 404.5 + -657.5. Which is bigger: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 245?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -130. Let q(d) = -1. Let y(i) = i**2 - 2*i - 4. Determine j*q(r) - y(r).\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*o - 396 = -2*w, 0*w - 3*w = 37*o - 33*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 76, 74, 72?\n\"Answer: -2*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 980446447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:41 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -796*r - 11083. Determine y(-14).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = 5*q, -5*d - 5*q = 2 - 22. Suppose 117 = 6*y - 4*y - 3*m, 4*m - 124 = -d*y. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b725a - 3?\nAnswer: -6b725d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 313.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, b: 1, g: 2, y: 4}. Give prob of picking 1 g and 2 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001614877 rounded to 5 dps?\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -1\/2, -2, -17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-432)\/(-80) - (-6)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11510166 - 5?\nAnswer: -11510204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-650)\/(-250))\/((-14)\/(-140)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66121.28 millilitres in litres?\nAnswer: 66.12128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:10 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001264436679 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 610 and 3357440.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + -1 + sqrt(2) - (sqrt(6)\/sqrt(3) + 0)) + (-5*(sqrt(2) + sqrt(4)\/sqrt(2)) - (sqrt(72) + 4)))**2.\nAnswer: 384*sqrt(2) + 656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -15. Suppose l - 105 = -h*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776260?\nAnswer: 2, 5, 37, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6650?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 26*g - 38. What is the units digit of u(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-25)*(-30)\/(-4) - (-45)\/(-50)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.8 - -6. Let j be 1\/(3*(15\/4435)\/3). Let u = j - 295. What is the fourth smallest value in 3, u, -5, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 921 = -1441. What is the greatest common factor of s and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/27807 and -11\/3565.\nAnswer: 139035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgg when three letters picked without replacement from lalmmgammmmmmgmg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 2*w**6\/3 - 5*w**3\/3 + 22*w. Find the second derivative of v(s) wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {p: 1, t: 3, q: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333297.9l to millilitres.\nAnswer: 333297900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 15*h + 30 = -5*i, h = 3*i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 752 - 728. Calculate the least common multiple of a and 700.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11533 divided by -2?\nAnswer: 11533\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*(1 - 11). Suppose -6*h + 64 = -7*h. Let a = h - -69. Is a at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -74. Solve 0 = 2*s + 3 + a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 0)*2012\/7545.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -2 (b) -3408 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -353498 and -0.5.\nAnswer: -353498.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 4.02. Let j = 6567\/4 + -1655. Let p = j + 13. Which is the second smallest value? (a) g (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5791 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20761 - -20762. What is the fifth biggest value in c, -6, 1\/4, 0.4, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/131590 or 1?\nAnswer: -3\/131590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d. Let p be u(4). Let i = 76 + p. Let g = i + -5. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let z(n) = 414*n**2. What is z(x(g))?\nAnswer: 414*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 8*w + 5 - w)*(-6*w**2 - 17*w**2 + 0*w**2) to the form y*w**2 + j*w**3 + c*w + k and give y.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15721 + -15719. Find z such that 1\/7*z**j + 3\/7*z - 4\/7 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 81 = -9*h + 5*h, 9*o + h + 16 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from yykykkykyvkkk.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103238, 206452, 309666, 412880?\n\"Answer: 103214*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*h**3 - 3006*h**3 - 924*h**3.\nAnswer: -3723*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25604?\nAnswer: 2, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60609486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*n = -102*n + 62. Suppose -30*w = -n*w + 2. Put 4, 0.8, w, -0.3 in decreasing order.\nAnswer: 4, w, 0.8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 35*c - 186. Calculate l(6).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29868)\/39824)\/(2*9\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u. Let a(s) = -30*s. Let c(i) = -5*a(i) + 12*q(i). Let h(l) = -4*l. Calculate h(c(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59023358 rounded to 2 dps?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**2 + 10309356*m + 18556776.\nAnswer: 4*(m + 515466)*(5*m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.55, 0.3, -1, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 19*a - 20*a = 53, -2*a = 4*q + 72. Let y(o) = o**3 + 18*o**2 + 18*o + 13. Give y(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -30*a + 361. Let y(d) = 38*d - 363. What is 5*g(j) + 4*y(j)?\nAnswer: 2*j + 353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 1. Let b = z + -3. Let u = 8 - b. Solve 2*g - 2 = -4*m, -4*g - 3 = -5*m - u*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40d4d (base 15) in base 14?\nAnswer: 54c66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 368322670 - 368322649.4999869. Let b = -20.5 + g. Round b to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1. Let f(j) = 2*j - 3. Let x(u) = -f(u) - 3*i(u). Let q(b) = -5*b + 0*b + 4*b. Calculate q(x(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 730451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3620608*z**2 - 2343*z - 750*z - 3617662*z**2 + 1 wrt z.\nAnswer: 5892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = -4*h + 9, 3*u + 47 = 2*h. Let f = 15 + u. Let y(k) = 3*k + 3. Give y(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-39) + 4\/(-26). Suppose v = 5*t - 11 - 14. What is the first derivative of 1 - l + t*l + 9 - 4 wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6031 + 6292. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.105618 kilograms?\nAnswer: 0.006105618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 + 10*s - 12. Let f(q) = -4*q**2 + 9*q - 13. Let z(i) = 6*f(i) - 5*o(i). Let p be z(8). What is the tens digit of (-3 - -2)*(-4 - p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18950 - 18909. Solve 0 = -11*a - z*a + 156 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -79, -76, -73, -70, -67?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -0.0874397?\nAnswer: 2.1859925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 3*r - 2. Let i be l(-4). Suppose -4*c - i*s = 10, -c + 2*c + 3*s = 5. Let k(a) = -3*a - 2. Let x be k(-3). Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 + 74. Let i = o - -23. Calculate the remainder when (-3 - -1 - 1)*i\/(-6) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31224373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5 + 740*r**4 + 6216*r**3 - 21472*r**2 - 61952*r = 0.\nAnswer: -176, -11, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*h**2 + 10*h**2 - 15*h**2)*(-12 - 40 - 72).\nAnswer: -1364*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.377004l?\nAnswer: 8377.004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11011000001010100?\nAnswer: -11011000001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174699 and 82187?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1857, 2559, 3265, 3975?\nAnswer: 4689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3745 = -0*b. Find the common denominator of 151\/12 and 2\/(-6)*(-4 + b\/(-280)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/176 and -43\/352048.\nAnswer: 3872528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.8373 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, c: 4}. What is prob of sequence ccr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 plus -499942622?\nAnswer: -499942697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 2*b**2 - 2*b + 1. Let l be g(-3). Let v(d) = -13*d + 3. List the prime factors of v(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-547)\/(-6) - (-5)\/(-5 + -25) is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1789 - -98?\nAnswer: -16e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 36, 67, 96, 123?\n\"Answer: -l**2 + 36*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -14. Let q be ((-64)\/(-12)*1)\/(1\/d). Let c be (-112)\/q*(-3)\/(-1). Solve -2*x = -5*g - 9, c = -g + 3*x - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 4 + 1 - 7 + (-1 - 1 + 0)*(-7240*f + 4912*f - 2661*f).\nAnswer: 9979*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8*5*48\/(-60)*5336\/460\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 16 = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 59 = -120*o + 93*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1869*a**2*b**2 + 10*a**2*f**3 + 25*a**2 - a*f**2 - 2*a - 20556*b**2*f**3 - f**3 + 44464 wrt b?\nAnswer: -3738*a**2*b - 41112*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -23*r. Let d(n) be the second derivative of -n**3\/6 - n + 2. Determine c(d(q)).\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f = 6314*l - 6309*l + 79, -3*f - 2*l = -22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32342972, -64685937, -97028902, -129371867?\n\"Answer: -32342965*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 b, and 1 o when four letters picked without replacement from bmbbbmmmmfobmm.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -21. Let b be (d\/4)\/(7\/84). Solve b*q + 7 = -5*i - 33, q - 5 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 10274436.\nAnswer: 174665412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, -1\/14, -0.05522, -5, 0.8?\nAnswer: -0.05522","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/12 + (-29)\/((-348)\/48). Let g(f) be the first derivative of -8 + 1\/8*f**4 + 1\/2*f - v*f**3 - 1\/4*f**2. Factor g(b).\nAnswer: (b - 1)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1086*l**2 + 264. Let m(b) = -35*b. Determine g(m(k)).\nAnswer: -1330350*k**2 + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -485458, -970926, -1456394, -1941862, -2427330, -2912798?\nAnswer: -3398266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 0.122?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/49885 and -27\/17690.\nAnswer: 176493130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 305*k - 12240 - 4994 - 1981 for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310000 + 30?\nAnswer: 310030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 143531.9625 minus 0.0396?\nAnswer: 143531.9229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*n**4 + 131*n**4 + 132*n**4 - 393*n**4 + 629 + 2*n + 2*n**3 to f*n**2 + x*n**4 + r*n + h*n**3 + i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwrw when four letters picked without replacement from rrwrwrwwwarwwrw.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13078 - 13124. Let q be -3*(-5)\/((-45)\/(-264)). Suppose 4*b + 100 = -q. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100*u - 16 = 1098*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-13)\/(-78)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2 - 2*f**5 + 4*f**5 + 3 + 6*f**3 - 9*f - 9*f**4 + f**5.\nAnswer: 3*(f - 1)**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 + g**2 - 24*g + 4. Calculate m(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-285)\/(-8170)*12\/(-9).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 - -74. Suppose 0 = -5*d - u*s - 8, 2*s + 12 = 4. Suppose -x + d*x + 127 = 0. What are the prime factors of x?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Let c = l - -2. What are the prime factors of c\/4 - 3*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 2:12 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0 + 7*c - 1\/3*c**4 - c**2 - c**3 + 1\/5*c**6 + 1\/5*c**5 + 1\/21*c**7. Factor p(j).\nAnswer: 2*(j - 1)*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:15 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 + 290. Suppose 8 = -2*o - j*a + 9, 5*o + 2*a = 13. Solve -3 = -2*q + h, 2*q - 3*q + 19 = o*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.66 - 0.34. Let o = y - -17.00000072. What is o rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13752 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 939833664*p**3 - 3001048*p**2 - p - 6 wrt p?\nAnswer: 5639001984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-25)\/25)\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2. Let k(l) = 3*l**2 - 48*l + 88255. Give k(t(s)).\nAnswer: 12*s**4 + 96*s**2 + 88255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3489*l**3 + 24*l**2 - 9*l + 3 wrt l.\nAnswer: 20934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/63 - 2 - (-4)\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35867, -35775, -35683, -35591, -35499, -35407?\n\"Answer: 92*g - 35959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*y - 5, 2*y - 2*u - 8 = y. Factor 0*w + 25\/3*w**4 - 10\/3*w**3 + 0 + 1\/3*w**y.\nAnswer: w**2*(5*w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 341\/18 + -4141\/198. What is the common denominator of (-2)\/(-1) - (28\/(-132) - -1) and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0*z**4 + 0*z**3 + 0*z + 0 + 10*z**2 - 1\/10*z**5. Let k(r) = -3*r**2. Calculate l(k(b)).\nAnswer: -54*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9951785?\nAnswer: 5, 29, 68633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 1. Let y(q) = -5*q**2 - 4*q + 4. Give 3*b(v) + y(v).\nAnswer: -5*v**2 - 7*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 1. Let z(l) be the first derivative of -l**2\/2 - 2*l - 3. Let h(j) = 2*r(j) - z(j). Let b(i) = 2*i**2. Determine b(h(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176\/7 + 514\/21. Let g = 0.04 - 0.44. What is the nearest to -1 in p, g, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - p = 3, 6 + 6 = -5*x - 4*p. Suppose x = r - 2*r. Suppose 2*v - 4*v = -6. Put r, v, -2 in decreasing order.\nAnswer: v, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 35*r = -27*r + 390 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 640.7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 2. Let r(q) = 3*q - 18. Let s be r(8). What is i(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 100. Suppose -12*h = -91 - l. Solve 4*z + 14 = -4*o - h, -o = -2*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -342*b + 963. What is a(4)?\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40607363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-3)\/(-12)*-1). Is 302\/8 + 3\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**3)**(-43))**26)**25 assuming m is positive.\nAnswer: m**27950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 35 - 78*u**2 + 28*u - 40*u**3 - 118*u**2 = 0.\nAnswer: -5, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/66 + 5*7\/105. Which is greater: -2\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -302 + 339. Suppose -595 = y*z - 38*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*r - 6, 3*b - 3*r - 1 = -b. Solve -z = -1 - b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, -1, -257, -615, -1075, -1637?\nAnswer: -2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 365527768?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 739, 1445, 2117, 2737, 3287, 3749?\nAnswer: 4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 332430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 2*z + 137 = 7*v, 3*z - 711 = -5*v. Does 108 divide 235\/1*(v\/15 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2\/11))\/m)\/m)\/(m\/(m**(-2\/103)*m))*(m*m\/(m**(-42)*m))\/(m*m**(-3\/4)) assuming m is positive.\nAnswer: m**(189947\/4532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11. Suppose -3*i - 2*i + 10 = 0, 4*z + 5*i + 558 = h. Let x = 221 + z. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760716 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 + 13 = -42*v + 357 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3316 - 1656 - 1660 - 4*o. Let j(a) = -18*a + 2. Determine n(j(k)).\nAnswer: 72*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -10*g + 19*g. What is the lowest common multiple of 55 and g?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 - h + 1. Let p be b(6). Calculate the highest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - sqrt(3)*-1)**2)*-2*-3 + (sqrt(27)*3 - (-1 + sqrt(12))).\nAnswer: 13*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 203*y - 198*y + 7 + 0 as t + s*y and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(18) + sqrt(18) + (sqrt(18) - sqrt(54)\/sqrt(3))*-4)\/(sqrt(12)\/(sqrt(6)\/sqrt(3))))*-6.\nAnswer: -12*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 5*h**2\/2 + 4*h + 96. Let p(x) = x. Suppose -4*l - f = -0*f + 24, -3*l - 18 = f. Calculate l*p(u) + a(u).\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28884 or 28888?\nAnswer: 28884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - d = 29, 2*o = 9*d - 20*d - 40 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -18*j**2 + 3*j - 86. What is the remainder when p(-5) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by 15754\nAnswer: 70\/7877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.2762 - -0.2762. Which is the second smallest value? (a) z (b) 5 (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9594793 is divided by 836.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1 in increasing order.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197935?\nAnswer: 5, 239587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/20 - 2*s**4\/3 - 2*s**3 - s**2 - 53*s + 4. Calculate o(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) 0.1 (c) 4 (d) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(54))\/sqrt(800).\nAnswer: -9*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*x**2 + 88*x**2 + 207*x**2 + 204*x**2 in the form s*x + p + q*x**2 and give q.\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3)\/((-5)\/(-415)). Let j = 122 - l. Let m = j + 13. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65111 (base 7) to base 16.\nAnswer: 3f32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.98 times 3920?\nAnswer: -15601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*c - 137*c - 4 + 4.\nAnswer: -80*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10351145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -96.22 and 0?\nAnswer: 96.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/2 + 15*d**2 - 129*d\/2 + 50 = 0. Calculate d.\nAnswer: 1, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*d - 97. Suppose 4*v + d = 3*v. List the prime factors of 3\/((v\/8)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9564900019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109850901.6 + -109850991.6000074. Let n = 90 + x. What is n rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/10 (c) 674 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -91957?\nAnswer: 91959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103142101*n**2 - 51571058*n**2 - 51571043*n**2 - 3*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 505*c + 1528. Determine a(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*h - 10. Suppose -2*s + 129 = h*g + 2*s, 0 = 4*g - 5*s - 172. Calculate the common denominator of (-1)\/1 - 118\/(-12) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-175*l + 88*l + 88*l)*(0 - 3 - 2)*(3*l + 0*l - l) as n + j*l**2 + i*l and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnuu when four letters picked without replacement from gnunxxuuuxugnnxnnu?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2\/7 + 80*c\/7 - 500\/7 = 0.\nAnswer: -25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, 5\/3, -1\/4, -5, -3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71789183 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9278, 36866, 82844, 147212, 229970?\n\"Answer: 9195*o**2 + 3*o + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106, -270, -454, -670, -930, -1246, -1630, -2094?\n\"Answer: -2*r**3 + 2*r**2 - 156*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 122 - 66. Let z(x) = 2*x**3 - 8*x**2 - 12*x - 4*x**3 + x**3. List the prime factors of z(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (90\/75)\/((-2)\/10). Let z be (i\/45)\/((-1)\/3). Is 0 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 4. Calculate the remainder when 77 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -28, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -306 and -0.5.\nAnswer: -306.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(12\/5))**(-1\/43) assuming t is positive.\nAnswer: t**(-12\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15014479, -30028949, -45043421, -60057895?\nAnswer: -75072371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15005 - 15013. Put -1, w, 48, 2\/13 in ascending order.\nAnswer: w, -1, 2\/13, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*u = 10 - 16, 3*u = -3*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -265231, -530466, -795703, -1060942, -1326183, -1591426, -1856671?\n\"Answer: -p**2 - 265232*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72412.34 centimeters in nanometers?\nAnswer: 724123400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 14*h + 37. What is t(23)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 v when three letters picked without replacement from vvvvvvvvdvvvvvdd?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 82*t - 898. Calculate y(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20909, 41822, 62723, 83606, 104465, 125294, 146087, 166838?\n\"Answer: -y**3 + 20920*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8699 or 8721?\nAnswer: 8699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-2)\/(-1) + -2. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 10. Solve 0 = -5*a - 2*n - 2 + 7, 0 = -n - f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 779.54797?\nAnswer: 779.34797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1108 divide 26564300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -0.362268\nAnswer: 5.362268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3\/40))**(-4) assuming f is positive.\nAnswer: f**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18308 - -18312. What is the closest to -2\/3 in 0.09, 0.5, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*c + 30*c - 86 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 - (-152 + 167).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 92\/16 + (-1)\/(-4). Let z be -9*(-93)\/(-62)*2\/(-3). Is u at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000458667 to seven decimal places.\nAnswer: 0.0000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:16 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8392.006608 + 8392. Round b to 4 dps.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166878 is divided by 1184?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1289 divided by -1977.\nAnswer: 1289\/1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 7*u**3\/6 - 2*u**2 + 3*u. What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(17)) + 1.\nAnswer: -6*sqrt(17) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azoeoe. Give prob of sequence zeoe.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 0.1, -1\/4, 13289, -3, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 26 - (9 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 8. Let n = -3.08 + 0.08. Let g be (-8)\/(-6) + -2 + 2. Which is the nearest to u? (a) n (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9557576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**10*l)\/l**12)\/(l**(-2\/11)*l*l*(l**1\/l)\/l) assuming l is positive.\nAnswer: l**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 + 10*l**3\/3 - 16*l**2\/3.\nAnswer: -l**2*(l - 8)*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 61. Suppose h + h - 6 = 0, 0 = -y + 2*h + 100. What is the remainder when y is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-24) - (-210630)\/(-8). Let i = r - 1203672. What is i rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 + 850*m**2 - 35260*m - 73960 = 0. What is m?\nAnswer: -2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(-3 - 21 - 20)*(2*s + 2 - 2) - 3*s - 2*s + 3*s + (-2*s + 0*s - s)*(-5 + 3 + 4) to b*s + r and give b.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*b**5 + 370*b**4 - 68*b**3 - 336*b**2 + 236*b - 34 = 0. Calculate b.\nAnswer: -1, 17\/84, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*l*t**3 + 2095*l*t - 103*l*v**2 - 199*t**3*v**2 wrt v?\nAnswer: -206*l*v - 398*t**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 65*f - 173. What is i(4)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -240 - -8?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 100 = 79 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*l*v**3 + 5*l*v**2 - 2*l + 2*v wrt v?\nAnswer: -570*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z**2 + z. Let o(d) = 7*d + d**2 + 0*d - 6*d. What is 2*o(x) - 2*w(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h. Let u(z) = 12*z**2 + 11*z + 11. Let t(x) = x**2 + x + 1. Let a(i) = 22*t(i) - 2*u(i). Calculate a(v(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -31*c**3 - 2*c**2 - 3*c - 241. Give i(0).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2175704666.\nAnswer: 2, 1787, 608759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 15\/22247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {i: 1, r: 1, e: 2, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 460235236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 33. Solve 3*r - 6 = s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1452083 and -0.19?\nAnswer: 1452083.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 4*v - 5. Let n be t(5). Suppose 4*z + n = -0*z. Let k = 34 - z. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1573307175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 13. Let u be q(7). Suppose -u = k + 2*k. Let w be (-16)\/32 - (-1)\/2. Sort k, w, -4 in descending order.\nAnswer: w, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -79*s**2 + 7*s + 2. Let r(f) = 317*f**2 - 28*f - 11. Let k(l) = -2*r(l) - 9*z(l). Let m(v) = -39*v**2 + 3*v - 2. Give -2*k(w) - 5*m(w).\nAnswer: 41*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6201577*h - i + 12 = -6201578*h, -60 = -2*h - 5*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 1 + -1)*1. Solve 2 = -h - o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h. Suppose p + h*p - 34 = 0. Does 7 divide p - (-1 + 1) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -34. Suppose y + 2*y - 38 = 4*u, 0 = -2*y + u + w. What is the highest common divisor of y and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.4, 0.028, 5?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341784 and 1800?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12250 and 1433250?\nAnswer: 1433250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -68a?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/152? (a) -0.4 (b) 43788 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -297 - -1b?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uug when three letters picked without replacement from {g: 5, u: 3, a: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -84*t + 172. Let q be m(-9). What is the highest common factor of q and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*a**2 - 4*a**3 + 5*a**3 - 10*a + 12*a in the form b*a**3 + d*a**2 + o + m*a and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = -2*r - 3, r - 5*c + 21 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34920.35 decades?\nAnswer: 4190442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 + 2305?\nAnswer: 235d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 259 = -0*g - 5*g, -4*g - 1274 = -5*l. List the prime factors of l.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v - v)*(-19*v**3 - 13*v**2 + 13*v**2 + (0*v - v + 0*v)*(-v**2 + 0*v**2 + 0*v**2) - 23*v**2 - 17*v**3 + 23*v**2).\nAnswer: -35*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, -612, 21, -0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.054+-43048\nAnswer: -43048.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -0.18569212.\nAnswer: 0.01430788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.905*0.2.\nAnswer: 0.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 64989 divided by -7221\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 10, -7, -32, -65?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 38 = f - z, 2*f - 5*z = 8. Suppose -4*p + f*p = -50. Let o(i) = i + 5. Determine o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2569108547?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:44 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 128 + (-5926 - -5777).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -111893 greater than or equal to -111894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 76*m - 62*m - 183 + 259*m - 64*m - 56*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 58. Suppose l = -6*y + 8*y + 18. Are y and -10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2894*z - 3144*z - 2382*z - 3063*z to p + o*z and give o.\nAnswer: -5695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26567 + -26571. Suppose -5*p + 10 = -5. What is the closest to -0.1 in -4\/3, p, 1\/7, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52 - -217a?\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6)*s*s**(-5))**(1\/2)\/((s**1)**(2\/85)\/(s*s*s*s**1*s)**(1\/4)) assuming s is positive.\nAnswer: s**(-1113\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914502 is divided by 1542.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:39 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70555 + 70349 = 1306*r + 398*r - 336*r for r.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*a - 20 = 0. Let w(o) = -o + 10. What is w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(4\/(-128)). Let x = -10 - h. What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/3603632?\nAnswer: -1\/3603632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 2*k + k - 2*k - 2*k + 7*k + (-1 + 0 + 2)*(k - 2*k + 3*k) - 2*k - k + 2*k + 3 + 3*k - 3 - 12 + k + 12.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 102 = 5*v, -4*v = -2*c - 96. Suppose -y = -2*y + 8. What is the remainder when v is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25728212 less than 10?\nAnswer: 25728222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = j + 9, 3*j - j + 22 = 3*u. Suppose 9*q = -u*p + 4*q + 55, -37 = -4*p + q. 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: Which is greater: -27974 or -27352?\nAnswer: -27352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -91, -221, -425, -715?\n\"Answer: -2*h**3 - 19*h**2 + 3*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 46*v**2 - 100*v + 597. Give c(44).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 26*g**3 - 27*g**3 + 1746*g - g**2 + 3*g**3 - 96.\nAnswer: 2*g**3 - g**2 + 1746*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1584) + 1 + -2 - (sqrt(1584) - ((1 + sqrt(1584) - sqrt(1584))*-2 - sqrt(1584)) - sqrt(1584))))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.921 from 62.3.\nAnswer: 63.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -15. Suppose 4*n = -z + 4. What is the greatest common divisor of n and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2907000 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*3*(-1 + sqrt(275))*2 + 0)**2.\nAnswer: -1440*sqrt(11) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9986684 divided by 1802?\nAnswer: -5542","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 17*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-1 - 1) + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2164 is divided by 590?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14507467, 58029877, 130567227, 232119517, 362686747, 522268917?\n\"Answer: 14507470*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 1574 + 17830. Let d = y - -18708. Round d to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*w = 20 - 6, 2*w + 20 = 5*l. Let p be (-9)\/(l + -5) - -599. Suppose 0 = 2*i - 0*i - p. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26273 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 19, 9958, -4, 0 in decreasing order.\nAnswer: 9958, 19, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10675*r - 729 = 9946*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g**4 - 5539*g + 5302*g - 140*g**4 wrt g?\nAnswer: -1560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Let n = 1267775\/925074 + -3\/34262. Find the common denominator of n and (-309)\/(-90) + l\/5.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -28. Let u = r - 33. Let i(g) = -g**3 + 4*g**2 + 8*g - 4. Is i(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 4, f - 128 = -1425*p + 1420*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326489?\nAnswer: 11, 211499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**8\/6720 + p**7\/315 - p**6\/72 + p**5\/20 - 13*p**4\/2 - p + 35. Let d(w) be the third derivative of i(w). Determine d(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = -2*v + 291, -4*v = 2*u - 63 + 14 + 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -197400 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 20 = 14*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 94*b + 1\/2*b**3 + 67\/2*b**2 - 128 = 0.\nAnswer: -64, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 59*d. Let f(b) be the first derivative of -b**4\/24 - 57*b**2\/2 + 4. Let i(k) be the second derivative of f(k). Give v(i(o)).\nAnswer: o**2 + 59*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*v - 214*v + 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.391 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2646207 divided by -74\nAnswer: 2646207\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24877087 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 4*c + 7. Suppose 742*x - 747*x + f = -14, -5*f = -x - 2. Give p(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o + 16. Solve -29*g**2 - 3*g**4 - 6*g + 17*g**2 - 3*g**5 + 15*g**2 + o*g**3 = 0 for g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95004 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-13)\/(-65)*(-10)\/(-5)*35.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 0*m**2 + 0*m**2 - m**3 - 4*m**2. Let a be h(-2). What is the greatest common factor of a and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2736)*3.\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215462450 - -13?\nAnswer: 215462463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5534329*w**2 + 2767038*w**2 + 2767133*w**2.\nAnswer: -158*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdzz. What is prob of sequence zdz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*q - 1845 = -133*q. List the prime factors of q.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6989*g - 4319*g + 506388 = -2424*g for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -h - 19, 0 = -3*h - c - 6 - 12. Suppose 107 = 33*j + 8. Sort h, 9, -4, j.\nAnswer: h, -4, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 40*l - 3232. What is v(81)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159246*q**3*z**3 + 902*q**3*z + 192*z**2 wrt z?\nAnswer: -955476*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 - 9 = 0. Let g be (z + -3)*(2 + -4). Let t = -4 + 2. Sort g, 0, t.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1204, 1193, 1182, 1171?\n\"Answer: -11*v + 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8512 - 8495.28. Round h to 1 dp.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41499 or -1037509\/25?\nAnswer: -41499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 3*n - 3. Let j be m(3). Suppose -s - 2 = -3*x, 0 = -2*x + j*x - 16. Suppose -3*u + s = -u. What is the smallest common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 1:32 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6806 = -31*x - 23786. Is 6 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6721 and -51.3?\nAnswer: -85.77873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 0.1, -17 in decreasing order.\nAnswer: 0.1, 2\/21, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -5.2. Let m = -0.7 - -0.37. Let w = -0.33 - m. What is the second smallest value in w, k, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512720 at most as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101656 by 97.\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 - -76. Let w = 33 + y. Suppose 0 = 3*h - 77 + 29. Calculate the least common multiple of w and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377) + 5 + 2*sqrt(1377))*5)**2.\nAnswer: 108000*sqrt(17) + 4967200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-325)\/130*(-7488)\/260.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122656 + 1284651 = 14610*r - 139461 - 57274 for r.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23650730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5456*q + 38042. Give d(7).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*a = -5*x + 16, 0 = -4*x + 3*a + 22. Suppose -685 = -5*c + 2*y, -x*y = -3*c - 9*y + 442. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -217, -215, -213, -211?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58282.\nAnswer: 2, 7, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 405, 1045, 2141, 3699, 5725, 8225?\n\"Answer: u**3 + 222*u**2 - 33*u + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101619760 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 282 and 12941.9.\nAnswer: 3649615.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.045 + -2.845. Which is the fourth biggest value? (a) -2 (b) i (c) -0.06 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*((sqrt(99) - -2*sqrt(99))*-5 - sqrt(99) - sqrt(99))\/sqrt(9))**2.\nAnswer: 12716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 16*j. Let c(x) = 10*x**2 - 398053*x. Determine c(v(z)).\nAnswer: 2560*z**2 - 6368848*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 375 + -378. Let d = 3.64 - -1.36. Let g = -0.23 - -2.23. What is the nearest to q in -1\/3, d, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + (-1 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*p**3 - h*p**2 + 205*h*r + 117*p*r wrt p.\nAnswer: 3*h*p**2 - 2*h*p + 117*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/170 and -17\/11?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -239\/4 + 60. Sort -4, -0.4, q in descending order.\nAnswer: q, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 - 34*m**2 + 37*m + 22. Let v be w(-18). Suppose 0 = v*n - 0*n + 3*i - 596, -4*i + 288 = 2*n. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 10*d - 20. Suppose 1135 = -d*x - 2*j, 3*x - 2*j - 219 = 4*x. Let w = 398 + x. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -0.298288\nAnswer: -0.00298288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 3*f - 1. Let a(z) = z - 19. Let x(b) = a(b) - 2*d(b). What is the remainder when 43 is divided by x(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86377 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -32343964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -64. Which is the nearest to o? (a) -4 (b) 3\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.3. Suppose -64*o = 61*o - 52*o - 219. Let h(c) = -c**3 + 2*c**2 - c - 2. Let u be h(2). What is the closest to 2\/3 in u, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855715?\nAnswer: 5, 7, 23, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 187148, 187147, 187146, 187145, 187144, 187143?\n\"Answer: -l + 187149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -6 - (-1)\/(-1). Let f be (52\/(-16))\/(1\/(-4)). Solve 3*g + m = f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose -t*u - 2*u = 4. Calculate the least common multiple of 9 and (-8)\/(-2) + -1 + u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3511 and 4309.\nAnswer: 15128899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 3*j + 4*j + (0*j + 4*j - 6*j)*(0 + 4 - 3))*(4 - 4 + 2*j**2 + (-5 + 2*j + 5)*(-6 - 12*j + 6)) to the form z*j + b + a*j**2 + t*j**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -130. Suppose 11*g - 58 = p. Let h be 5\/(-10) - (-99)\/2. Calculate the greatest common factor of h and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -490*f**4 - f**3 + f**2 - f + 321. Let m(s) = 2*s**4 + s**3 - s**2 + s + 1. Let u(j) = m(j) + o(j). Differentiate u(i) wrt i.\nAnswer: -1952*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1574944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/33 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 6*n + 9. What is v(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let r be -1 - (-6 - 1 - -3). Let w = t + r. Solve -4 = w*q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20871018 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354621 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1200, -2419, -3640, -4863, -6088, -7315, -8544?\nAnswer: -9775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Let v be ((-9)\/1 - -4)\/1 + 7. Sort -1, x, v in decreasing order.\nAnswer: x, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -5*m**4\/3 - m**3\/6 + 6*m**2. Let y be z(-1). What is the greatest common divisor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -0.5 (b) -2\/11 (c) 3\/7 (d) -6.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 5. Let d be r(5). What are the prime factors of d - (-2)\/(-1) - -3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 10. What is v(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 93 = -245. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 34*d + 37. Calculate r(-30).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 375.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101110100000001010 (base 2) in base 3?\nAnswer: -2211021020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyth when four letters picked without replacement from yhtrh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.073 and 41474?\nAnswer: -3027.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (90\/6)\/1 + (-4)\/1. Let w(v) = 11*v**2 + 2. Let z(t) = 56*t**2 + 10. Give b*w(m) - 2*z(m).\nAnswer: 9*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*v**3 - 27*b*v + b - 76618*v**4 + 8*v**2 - 84093*v wrt v?\nAnswer: 12*b*v - 919416*v**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8585, -2130, 4325?\nAnswer: 10780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iod when three letters picked without replacement from oiodooiooooiiooio.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26186221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 64, 163, 316, 535, 832?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1.04, 3, -0.3, 0, -2\/9?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/168 and -25\/1407888.\nAnswer: 9855216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1573) + 3*sqrt(1573)*3 + 0 + 6*(-1 + sqrt(1573) + -1).\nAnswer: -9 + 176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 + 2906*j**2\/3 - 20440*j\/3 = 0. What is j?\nAnswer: -1460, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 397 + 118. Suppose i = 5*b - 1080. What are the prime factors of b?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 3*z**2 - z + 3. What is h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07561 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 840*k + 5099. What is s(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8046 + -8046. Let k(c) be the first derivative of 0*c**5 + 6*c**2 + 0*c + r*c**4 + 0*c**3 - 29\/6*c**6 - 12. What is the second derivative of k(h) wrt h?\nAnswer: -580*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 4. Let z = 2 + b. Let g = -4991.5 + 4992. Sort 5, z, g.\nAnswer: z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00105672 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208430?\nAnswer: 2, 5, 7, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37285, 74556, 111813, 149056, 186285?\n\"Answer: -7*l**2 + 37292*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4116)\/(-1029))\/(14*13)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*z = 450. Suppose 4*j - 44 = -2*g, 2*g - z = 5*j + 35. Calculate the remainder when 80 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h, 2*h + 85 + 2 = 5*v. Calculate the remainder when 43 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 1 - 2)\/(-2). Suppose -5*i + 5*t - 55 = 0, 3*t + o = 7. Let q(u) = 2*u**2 + 12*u + 4. What are the prime factors of q(i)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 10381 = 5*v + 18*a, 4*v + a = 8309. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21100 (base 4) in base 15?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*z = -330, -3*z = 7*y - 3*y - 646. Suppose 5*v - y = -5*o, -156 = -5*o - 4*v - 0*v. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*i + 5*i = 130, 0 = 5*l + 2*i - 139. Let t = l + -26. Solve -t + 1 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**2 - t - 3. Let m(q) = -9*q**2 + 2. Let l = 2647 - 2644. Determine l*m(p) + 2*o(p).\nAnswer: -11*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1\/10)*p)\/p*p)\/(p*(p\/(p**(1\/41)\/p))\/p) assuming p is positive.\nAnswer: p**(461\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -73\nAnswer: 8\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(-3\/4)*c))\/c**(-3)*((c\/c**3)\/c)\/((c**(-3\/7)\/c)\/c))\/((c**(-4\/3)*c)\/(c**5*c))**(-12) assuming c is positive.\nAnswer: c**(-2011\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/3*-23*(-6)\/1932?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -277*t**8\/168 + t**5\/30 - t**4\/4 - 16*t**3\/3 + 41*t**2 - t. What is the second derivative of j(f) wrt f?\nAnswer: -11080*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 160 - 174*i**2 + 67 + 45.\nAnswer: -174*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**2 + 1. Let p = -2 + 1. Let c = 0 + p. What is the units digit of h(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 4*h**2 - h + 2. Let j be b(4). Let k be 108\/18 - (-2)\/j. What is the units digit of (-31 - -3)\/(4 - k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/(-2250)*2\/4)\/(24\/(-80)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -172850?\nAnswer: 172839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 6*b**2 + b - 2. Let c(v) be the second derivative of 13\/12*v**4 - 25*v - 9*v**2 + 1\/20*v**5 + 0 + 11\/6*v**3. Let x be c(-12). Give z(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + i + 45. Give w(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3406 - 5?\nAnswer: 3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/187)\/(312\/(-132))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = z + 38. Let q = z - -51. Suppose -q*d = j - 2 - 10, -d - 3*j - 8 = 0. Calculate the highest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qfjwwwjcqqjwwwwwqjwq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -6*i - 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -100011100?\nAnswer: -100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99714130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = -w, 2*w + 5*n = n + 14. Let b be ((-2)\/(-4))\/(2\/12). Suppose i + i = b*x, 2*i = 5*x - 4. Solve 3*s = -a + i*a + 2, 0 = -s + w*a + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -18*z**2. Let g(o) be the first derivative of 124*o**2 + 4061. What is m(g(t))?\nAnswer: -1107072*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1304)\/2282*(-28)\/(2*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4881*o = -4880*o - 4*s + 34, -2*s - 10 = 3*o + 10*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -677, -1340, -2005, -2672, -3341?\n\"Answer: -m**2 - 660*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/((-9)\/4) - (1743 + 1). Let d be -2 + ((-10)\/85 - n\/51). Calculate the highest common factor of d and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(7\/6)\/m*m**14*m*m*m*m*(m**(-4\/9))**(4\/9) assuming m is positive.\nAnswer: m**(2911\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1181 (base 10) to base 15.\nAnswer: 53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -29 + 19 + (3 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -10100?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*r - 4 - 2 = 0, -r = 3*o - 4. Suppose o*c = -0 + 6. Let m(l) = 2*l - 7*l**2 + 1 + c*l**2 + 0. Determine m(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(17)) + -1*(3 + sqrt(17)) + 4.\nAnswer: -14 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4136270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d - 9. Let j be q(1). Solve j = -108*h + 107*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-266)*(-21)\/(-36).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t + 47*t = 183 + 217 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 867*(-23 - (-55 - -11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 + -79. Suppose 4*u - 62 = 3*i - 0*i, -5*u + 3*i = -z. Let r = -3 + 9. Calculate the remainder when u is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4229204 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2118060*a**2 + a + 3278761 with respect to a.\nAnswer: 4236120*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.31895615?\nAnswer: -0.95686845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.94166.\nAnswer: -0.94166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2 (c) 42 (d) -6 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.09683 times -0.5?\nAnswer: 199.048415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202332452.\nAnswer: 2, 7, 7226159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:11 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o + 31 = 32 - 145. Let b(u) = u**3 + 3*u**2 + 15. Let d(m) = m**2 + 7. Determine o*b(z) + 7*d(z).\nAnswer: -3*z**3 - 2*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + 0*f + 0*f)*(-3612 + 1801 - 3817*f + 1811).\nAnswer: 11451*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**4\/3 - 5*c**3\/6 - 13*c**2 - c. Give k(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijj when three letters picked without replacement from ojjjiji?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-13)\/78*9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**4 + 54070*i**3 - 1952660*i**2 + 3689000*i = 0 for i.\nAnswer: -10850, 0, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(24))\/sqrt(2))**2 - (-1*sqrt(12) + 4 + sqrt(12))**2*-2.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {s: 12, c: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/10455?\nAnswer: -2\/10455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 2, q: 1, e: 1, n: 10}. Give prob of picking 2 n and 1 e.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4077, -4733, -5393, -6057, -6725, -7397, -8073?\nAnswer: -8753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*f**2 + 0)*(5 + 7 + 26).\nAnswer: -114*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 - 3*d**2 - 2*d - 2. Give x(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 30 - 70 + 115*u in the form k*u + q and give k.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + 343. Suppose 0 = 6*i + v - 3930. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*w = -w + 22, 3*p - 5*w = 22. Suppose -8*g - 2044 = -2020. Sort g, 4, 3, p.\nAnswer: g, p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -49. Let r = -58.00041 - m. What is r rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -4, 3, 12?\n\"Answer: p**2 + 2*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 88*x**2 + 1098*x - 1819. Give l(73).\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2 + 0*o + 2*o**3 - o**3 + 2*o + 5*o**2. Let y = -649 + 644. Determine g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2. Let m(v) = 190*v**2 - 55*v. Let x(t) be the second derivative of -7*t**4\/12 + t**3\/3 + 17*t. Let r(y) = -2*m(y) - 55*x(y). Give d(r(f)).\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2667 = 14*b - 2*c - 2751, 0 = -4*b + 3*c + 24 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*b = 242, 3*v + 3*b = 645 + 141. Solve 0 = 3*x - 4*c + 7, -253*c = 4*x - v*c + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4830 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: Is 294 a factor of 71442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -961 + 988. Calculate the highest common divisor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 537553*f + 22577216. Calculate w(-42).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccfcwwccccccccw. Give prob of sequence wwcw.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 + -37. Let m = -54 + h. Sort 21, m, -1 in descending order.\nAnswer: 21, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 - 58*c**2 - 30*c - 6. Let x be o(-14). Let v = 34 + x. What is the remainder when v is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tekcecejejej. Give prob of picking 2 c and 1 j.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.421 + 2.221. Is -904 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:34 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 7*g**2 - 8*g - 2. Calculate the least common multiple of (1 - 1 - 1)*-7 and z(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 10*z + 14. Let a be k(-11). Suppose -4*b + 649 = a*r, 0*r + 5*r + 657 = 4*b. Does 38 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**2 + 16*i - 13*i - 8*i.\nAnswer: -18*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 3*a + 4. Let k be u(-2). Let w(x) = x**2 + x. Let i(h) = -2*h. What is k*w(q) + i(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 43*m - 40*m + 15, w = 0. Let p be (-4)\/10 + (-16)\/35. Which is the nearest to 0.3? (a) 4 (b) -6 (c) m (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2) + 4\/2. Suppose 6 = -z*h - 6. Let k(v) = -5*v - 1. Is 6 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 25*y - 96 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 6 - (-1 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**2 + 3285*h - 42541. Calculate a(315).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4\/(-7) + (-60)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**3\/3 + 51*v**2\/2 + 24*v. Let j be g(24). Suppose 5*u = -j*n - 0*u + 375, 2*n + 5*u = 255. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33*-3589\nAnswer: -118437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 54. Let q be z(-6). Solve 2*y - 32 = -q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750183?\nAnswer: 3, 7, 139, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 17 - 3 = 0. What is the second derivative of i*y - 8*y**5 - 3*y**5 + 13*y**5 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 409929*i - 320843 wrt i?\nAnswer: 409929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2 + 7*u**2)*(10*u**3 + u**3 + 0*u**3).\nAnswer: 77*u**5 + 11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000087134113 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 16*v**2 + 17*v + 29. Let o be i(-15). Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = i - 5*k, i - 46*k + 44*k = -11. Let y = 8 + -4. Let j be (-3 - -2) + 8\/7. Which is the second biggest value? (a) i (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4984506\/11 at least -453136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4 + 3)*-5. Which is the biggest value? (a) j (b) 1\/11 (c) -10 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let g = 0.16 + -0.59. Let r = g + -0.07. What is the second biggest value in -4, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:24 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2241 + -1460. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10293 and 3948.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**3 + g**2 + g - 1. Let l be m(1). Let v(h) = -4 + 2*h**3 - h**3 + 1 - 9*h**2 + 10*h. What is the remainder when v(l) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11839600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-10)\/(-540)*6.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406646?\nAnswer: 2, 203323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 17*v**3 + 0 - 431*v**3 - 2.\nAnswer: -414*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)\/j*j*j*j**12*j*j**(-5)*(j*j**(10\/3))\/j assuming j is positive.\nAnswer: j**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(204) + -5*sqrt(204) + sqrt(204)) - sqrt(204))\/sqrt(12) - (sqrt(85)\/(sqrt(30)\/sqrt(6)) + 2).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 30 = 3*h - 4*u, -165*h + 168*h + 4*u = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 46 + 43 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 6340*w**3 + 6345*w**2.\nAnswer: -5*w**2*(w - 1269)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45677 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21857208 by -381.\nAnswer: -57368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202022210 - 12?\nAnswer: -202022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x**3 - 1 - 123*x**3 + 31*x**3 + 8*x**3 + 1 + 38*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -157461*u**2*x + 4*u**2 + 229081*u - 6*x wrt x?\nAnswer: -157461*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/5400 and 46\/17775.\nAnswer: 426600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4479.5*-9\nAnswer: 40315.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1550 and 2294?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/7, -2, 711 in increasing order.\nAnswer: -2, 1\/4, 2\/7, 711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1368875*w - 125. Let j be l(7). Suppose 45*i = 48*i + j. What is i rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4133*51228\nAnswer: -21172.5324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/15)\/(3\/180). Let b = -83 - i. Let s = -43 - b. Sort 5, -4, -5, s in increasing order.\nAnswer: s, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.1. Let j be (0 - 4)\/(-2 - 2). Let a be (-104)\/(-20) - j\/5. What is the third biggest value in t, a, 0.8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -1062, -1579, -2100, -2625?\nAnswer: -3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from fjjjjfjj?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + b9bf5d?\nAnswer: b9bf58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2*o**5\/5 + 10*o**4 - 212*o**3\/3 + 204*o**2 - 234*o - 10727. Suppose f(j) = 0. What is j?\nAnswer: 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/60)\/(l*l**(-19)) assuming l is positive.\nAnswer: l**(1079\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 2 - (3 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1049382 and 2376.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 10*a = -153. Let r = 61 + a. Suppose -6*l - 2732 = -r*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 - 9*d + 9*d + (-d + 1 - 1)*(9*d + 3*d - 21*d) to the form x*d + p + k*d**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21201202101122 (base 3) to base 10\nAnswer: 4108931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 17*w**2 + w + 13. Suppose 0 = -2*x + 1 - 35. Let g be c(x). Is (-1)\/(1*(16\/g)\/8212) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 140\/(-24)*(-3)\/20. Let t = -9\/8 + y. Let l = -12.9 + 13. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkykakkaakyg. What is prob of picking 1 g and 3 a?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 75, 201, 367, 567?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4764 - 30*j**3 + 2398 + 2366.\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-2236)\/390 - 4\/10. What is the closest to w in -0.5, -3, -23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9341118?\nAnswer: 2, 3, 79, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/4)\/((-17)\/(34\/(-8))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173428, 346108, 518788, 691468, 864148?\nAnswer: 1036828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (1*sqrt(300)*-6 - sqrt(300)).\nAnswer: -70*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-17) - (-8 + (-1425)\/(-204))*-8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 304*n**2. Let d(m) = 70*m + 2. Calculate l(d(w)).\nAnswer: 1489600*w**2 + 85120*w + 1216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/29 = 2199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4176239 to the power of 1\/2, to the nearest integer?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 714 - 3*a**2 + 721 + 4*a**2 - 1457 - 2*a**2 + 120*a**3 to w*a**3 + b*a + p + s*a**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6766*q**2 - 664*q**2 - 3177*q + 1 - 3809*q**2 wrt q.\nAnswer: -22478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (-91 - 30) - (-3 + -1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = 33. Let w = 1 - z. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13509, 27013, 40517, 54021, 67525?\nAnswer: 81029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = 2*a, 5*a = a - 3*t + 20. Let k(l) = 0*l + a*l - 3*l. Let y(h) be the third derivative of 7*h**4\/12 - 2*h**2 + 352*h. Give y(k(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 18*r**2 - 16*r.\nAnswer: -2*r*(r + 1)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 2, a: 2, d: 2}. What is prob of picking 1 d, 1 a, and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8860 - 5874. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -841*g**2. Let u(a) = -44*a**2. What is o(u(q))?\nAnswer: -1628176*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.8 - 2.8. Let v be (-966)\/4508*28\/(-6). What is the third smallest value in 4, 0, v, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 256, 383, 510, 637, 764?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693009389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 122, 113, 100?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*(-9)\/(-36)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 3)*(6*q - 2*q - 3*q) - 3*q + 2*q + 2*q + (-2*q + 0 + 0)*(-1 + 5 + 1).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b + 107778 = -55*b. Suppose 4*g - g - 5*f - b = 0, g = -2*f + 5973. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39*-19.72.\nAnswer: -7.6908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = j + 2*i - 0*i - 55, 23*i = 5*j + 417 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o - 12. Let x be (-2)\/(-8) + (-275)\/o. Let w = x + -46. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -236600 and 21.\nAnswer: -4968600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 12. Let n be y(6). Suppose -z + 5*z = n. Suppose z = u + d - 56, -u = -3*u + 4*d + 100. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + 0 + -6 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(-2 + sqrt(80) + -3*sqrt(80) + (0 + sqrt(80))*2))**2 + -5.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1165.98907 - -1166. Round f to four decimal places.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11191? (a) 3 (b) -3\/7 (c) 3\/19 (d) 0 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/10 + (-1)\/(-2). Suppose 0*h - 5*h - m*z = 25, h + 2*z + 6 = 0. Let c be 8\/(-6)*6\/h. Solve -2*n + 3*n + c = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.2036 rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(176)*5 - sqrt(11))**2 + (sqrt(11) + 2 - sqrt(11)) + -5)*-1.\nAnswer: -3970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750 - (19 - (16 + -10))?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, 1\/2825, 2, 5, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, -17, -79, -161, -269, -409, -587?\n\"Answer: -r**3 - r**2 - 38*r + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 11*t + 9. Let j(v) = 2*v**2 - 22*v + 19. Let w(f) = -2*j(f) + 5*n(f). Let h be w(10). Let z(y) = 2*y**2 + 2*y - 2. What is z(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 5 (b) -2 (c) 3 (d) 104\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -5*h - 22. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, 2\/11, 1\/6.\nAnswer: 1\/6, 2\/11, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l. Suppose -4*y + 3 + 21 = l. Find the second derivative of 7*i**4 + i**4 - y*i**4 - i wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 2752*p + 77839. Determine q(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 932, 955, 1076, 1361, 1876?\n\"Answer: 11*l**3 - 17*l**2 - 3*l + 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 5*t + 5*v - 70, 2*t + 2*v - 44 = 0. Let w = t - 14. Solve 0*l - 9 = w*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - 10*l**2 - 26*l - 16. Let h(d) = d**3 - 2*d**2 - 5*d - 3. Let y(c) = -11*h(c) + 2*z(c). What are the prime factors of y(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1082, 5 in ascending order.\nAnswer: -2, 5, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -25*k + 6*k + 9 + 0*k**2 + 14 + k**2. Let j be q(19). Calculate the greatest common factor of j and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556092513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1179171 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6693 - 3)*42\/252 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 777096.1 - 67.302.\nAnswer: 777028.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 180*l**3 + 14468*l**2 - 5816*l = 0.\nAnswer: -727\/9, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -390.186253 and -23.1.\nAnswer: -413.286253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3074903?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.066512\nAnswer: 0.399072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 11*q**2 + 28*q + 45. Is a(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (17693\/13)\/((-2)\/76). Let m = l - 38469. Let a = m - -336187. What is a rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/77)\/(345\/(-805))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in 1, 10.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15644, -31216, -46788, -62360?\n\"Answer: -15572*n - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m - 601*m**3 + 28*m + 1606*m**3.\nAnswer: 1005*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 66, 76, 86, 96, 106?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 11*p + 20. Calculate z(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000087294 rounded to seven dps?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -352\/15, 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/38)\/n**(1\/14))**(12\/11) assuming n is positive.\nAnswer: n**(-72\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.208217ns to seconds.\nAnswer: 0.000000006208217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*c**3 - 14*c**3 + 11*c**3)*(c - 1 + 0 + 2*c**2 + 0*c**2).\nAnswer: 202*c**5 + 101*c**4 - 101*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose 5*y = -h + 30 + 9, -8 = -o*h. Let k(j) = -j + y + 5 - 2. Calculate k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/5)\/3*2\/(-66)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -8. Let m = 2.11 + -2.21. Which is the fourth biggest value? (a) m (b) 0 (c) q (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*p - 4*m, 0 = -11*p + 7*p - 5*m + 52. Let d(b) = -p + b + 6 + 13. Give d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/3)\/h*h)\/h)**(4\/11)\/((h*h*h**(-4))\/h**(-2\/3)))\/(((h*h**6)\/h*h**0)\/((((h*h**2)\/h)\/h)\/h**(3\/4))) assuming h is positive.\nAnswer: h**(-205\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3730 - 3730.001527. Round p to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 881, 900, 933, 980?\n\"Answer: 7*o**2 - 2*o + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -40, 7\/101, 0.2, -3\/2, -0.1?\nAnswer: 7\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 0.0198095.\nAnswer: -0.5198095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3423 at most -1406369\/411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a factor of 8357761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123412071 - 999247.\nAnswer: -124411318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 2*g + 17*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -t - 2*t. Let f = t - -18. Which is smaller: f or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 3*w + 45, 28 = 2*b + 4*w. Calculate the remainder when 33 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56540 divided by -20.\nAnswer: -2827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121500\/(-135)*(-16)\/360?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = q - x, 21 = -5*q - 2*x + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j - 55. Let u(i) = 2*i**2 + 3233416 - 3233416. Determine u(k(v)).\nAnswer: 98*v**2 + 1540*v + 6050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -5) + 2 + (-10)\/1. Let j(v) = v**2 + 6*v + 5. Determine j(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/(o\/(o\/o**(-2\/5)*o)))\/o)\/o*o)\/o*o)**(-3\/13)*o**(-2)\/o**4)**(-36) assuming o is positive.\nAnswer: o**(14796\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 4 = -8*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 17, n: 1}. Give prob of sequence ggg.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/25*(5\/(-3))\/1. Suppose -2*q + 5*j = 12, 9*j - 7 = -3*q + o*j. Which is the nearest to -1\/2? (a) q (b) -3\/7 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (3 - 3) - 3. Solve -2*s + 7*s - 5 = a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t + 3. Let b = -1 - -1. Let i be z(b). Sort 0.2, 5, i in descending order.\nAnswer: 5, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2. Let w = -172 - -171. Let v be (-1)\/(-3 + (3 - w)). Calculate q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + r - 444, 2*g = -g - 5*r - 679. Let m = g + 248. What is the remainder when 95 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2666 by 2.\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + 1 - (16 - (7 - 7))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 3}. Give prob of picking 1 h and 2 x.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -44. Suppose 5390 = 5*u - x*a, 4*u + 9*a - 6*a - 4312 = 0. What are the prime factors of u?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**3\/3 - 4*s**2 - 4*s - 1. Let d be j(-5). Suppose -v + d = -6. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 681 in -4\/11, 2\/3, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-34)\/16 + 38\/304 + 148?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 2*x + x - 2599*x**2 + 2195*x**2 as l*x**2 + z*x + i and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(-1) - 6\/18. Let r be 2047\/63 - 4\/(-18) - (-1160)\/4060. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 7*m + 14. Let l be u(-5). Let i(w) = -8*w**3 + 4*w**2 - 3*w + 4. Let n(q) = -23*q**3 + 11*q**2 - 8*q + 11. What is l*n(s) - 11*i(s)?\nAnswer: -4*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 7*w**2 - 2*w + 59. Determine f(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/((-560)\/(-1650)))\/((-174)\/(-232)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2756 and 51308452?\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-38424)\/8)\/((-1)\/(-337)). Let m = 2792611 + q. What is m rounded to the nearest 10000?\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, f: 3}. What is prob of sequence ff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 10000572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207483 by 7.\nAnswer: -207483\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169897492 + 169897309.0000464. Let m = l - -183. What is m rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41548*z + 9 - 9.\nAnswer: -41548*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061, 1807, 3063, 4841, 7153, 10011, 13427?\nAnswer: 17413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12) + sqrt(12) + (sqrt(84) + (sqrt(84) - sqrt(84)*-2))\/sqrt(7)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249487 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -3 (c) 4 (d) 1\/38 (e) -620\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 1010, 34, -11 in decreasing order.\nAnswer: 1010, 34, 13, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 - -71. Let h = 95 + k. Suppose -h - 9 = -2*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-435)\/30)\/((-1)\/(-2)). Let q = c + 1. Let z = q - -71. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*t + 12 = 3, t + 12 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 177, 352, 525, 696, 865?\n\"Answer: -n**2 + 178*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 12. Let j = h + -6. Let z = j + 8. Is z less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125269 + -8?\nAnswer: -125274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3211 - 212?\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by 498.\nAnswer: -103\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -39. Suppose o = -4*c + k, -2*o - 4*c + 31 = 9. Do o and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 - 15*c**2 + c - 28. Let r(u) = -4*u**3 - 14*u**2 + u - 27. Let q(p) = -5*b(p) + 6*r(p). Let n be q(9). Is n greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 0)*(1 - 4 + 1) - 1 - 1 + 0 - 88 + 184 + 99)*(-6*h**3 - 2*h**3 + 3*h**3) in the form y*h + c*h**2 + s + t*h**3 and give t.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)\/(396\/100 + -4). Suppose -2*f - 26 = -2*u, 2*f + 3*u + 12 = -34. Let y = f - o. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368715118 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3152162198?\nAnswer: 2, 1576081099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2\/(-5)*(-15)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*b = 5*b + 5, -b = 2*o - 20. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -f - 90. Suppose f*u - 30 = -0*u. Let o = 0.09 + -4.09. Put o, u, -1\/2, -3\/8 in decreasing order.\nAnswer: u, -3\/8, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 25*b - 11*b. Suppose -762 = b*q - 20*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 9*j - 12*j - 696, -2864 = -4*v - 4*j. 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: What is the second derivative of 119*g**2 - 32*g + 1 wrt g?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*q**3 + q**3 + q - 51 + 3*q + 0*q**3 with respect to q.\nAnswer: -48*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b27 + 60?\nAnswer: -19a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/3 - (-2)\/6. Let w(k) = k**2 + 3*k. Suppose -3 = j - 0. Let i be w(j). Solve i*r = -q - 4*r - 1, d = -2*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26615701?\nAnswer: 7, 31, 122653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145324 divided by -773?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1202011212 (base 3) to base 5\nAnswer: 2100034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, -56, 1, -1, -64 in ascending order.\nAnswer: -64, -56, -1, 1, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 7*g + 2. Let s be w(7). Let u = 0 - 0. Suppose 3*r + s*c + 196256 + 88752 = u, 4*r + c = -380004. Round r to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73273075.\nAnswer: 5, 43, 68161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Let d(z) = -z**3 - 6*z**2 - 4. Let h be d(-6). Let x = 10 + -7. Which is the closest to 0.1? (a) u (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18951960 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59054.17 kilometers in meters?\nAnswer: 59054170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/(-60))\/(6\/8) - 57\/(-5). Solve -5 = -3*l + 16*o - y*o, 40 = -4*l - 4*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -4. Let q = 2 - i. Let s(r) be the second derivative of -r**4\/12 + r**3\/3 + r**2\/2 - r. Determine s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227811 (base 10) to base 9.\nAnswer: -376443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 51547010*c**3 + 177139684725300*c**2 + 202911973641680362840*c + 811645060335064853920.\nAnswer: 5*(c + 4)*(c + 3436466)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426 by 51.\nAnswer: 142\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 453133000 to the nearest 1000000.\nAnswer: 453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -3*o + 4*d, -2*o - 50 + 12 = -d. Let c = 24 + o. Let g(y) = y - 5. Let u(s) = s - 4. Let f(w) = -3*g(w) + 4*u(w). What is f(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 827850533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 - (-60750)\/72. Let n = m + -844. Suppose 2*a - 23 = -3*w, 0 = -3*a - 4*w - 9 + 41. Solve -2*h + 2*g + a = n, -3*g + 2*g - 10 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-13)\/(-1) - 126\/(-21). Which is the biggest value? (a) -0.6 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y**2 - 143*y + 47. Calculate the smallest common multiple of n(-9) and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 15*v**3 - 36*v**2 - 60*v. Is c(9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 37*n**2 - 1. Let w be u(-2). Let m be (-25)\/3*1666\/85*(-9)\/6. Calculate the greatest common factor of m and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2535781\/68 + -37290. Find the common denominator of 19\/10 and r.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247\/7585 - -3\/185. Suppose -l = 4 - 11. Let s = l - 6. Is d smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 3:32 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 9*l**2 + l + 19. Let n be d(-9). Solve -4*z = 8, 2*z = 4*p + 5*z - n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042901495 - 36*r**3 - 1042901495.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 815 and 369847.\nAnswer: 1849235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3877 - 3574 = 3*m. What is the third derivative of 22*z**6 - 32*z**2 - 109*z**2 + 212*z**6 - m*z**2 + 39*z**6 wrt z?\nAnswer: 32760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-14)*j**(-39) assuming j is positive.\nAnswer: j**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7500 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**4 + 5*a**4 + 4*a**4)*(4 - 4 + 2*a) + 3*a**4 + 2*a**5 - 3*a**4 + 3357*a**3 - 1675*a**3 - 1680*a**3 - a**5 - 103*a**2.\nAnswer: 9*a**5 + 2*a**3 - 103*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -184327067.09609 minus 3?\nAnswer: -184327070.09609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98663557.\nAnswer: 467, 211271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1.824.\nAnswer: 4.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 3 (c) 25496 (d) 1\/9 (e) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -15 (b) 6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5801, -5336, -4575, -3524, -2189?\n\"Answer: -j**3 + 154*j**2 + 10*j - 5964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 622081484 to the power of 1\/2, to the nearest integer?\nAnswer: 24942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -495 - -497. Let y(s) = s**2 - 2*s - 1. Let b(g) = -3*g - 3 + 4*g + 3*g**2 - 5*g. Calculate k*b(q) - 5*y(q).\nAnswer: q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 3*q**2 - 4*q**2 - q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-13209)\/(-10404) - 6\/17 and 5\/258.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 - 12*w**2 - 6*w - 10. Is h(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) 1 (d) -7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5451440 and 16.\nAnswer: 87223040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -3\/4, -5349.88, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.91 - 3. Let g = -4331 + 4328. Which is the nearest to -2\/5? (a) s (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -166531.92007318.\nAnswer: -166526.92007318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) -4 (c) 5\/4 (d) 0.4 (e) 23 (f) 0.04495\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c**4 - 8*c - 7*c - 12*c + 4*c + 64*c**4 wrt c?\nAnswer: 996*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 10:23 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 2*q + 20*q + 2*q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -25534 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Let c = 103 + -70. Calculate the highest common factor of c and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2526 (base 10) to base 7.\nAnswer: -10236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 549570.\nAnswer: 1648710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 128819 = 300814. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 3*t = -16*o + 251, -4*o + 3*t = -217. What is the least common multiple of o and 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4d59 (base 14) to base 4.\nAnswer: -1222133103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 296\/4 - (7 - 7). Is f at most as big as 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6 from -30634046306.\nAnswer: -30634046304.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*p**2 - 15*p**4 - 18*p**4 + 41*p**2 wrt p?\nAnswer: -792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = -24. Let c(p) = p**2 - 4*p - 5. Is 9 a factor of c(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h - 3*x + 3010, -4*h = 5*x - 3014. Suppose 0 = -3*y - 211 + h. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*a**4 + 702*a**3 + a**2 + 743227*a wrt a.\nAnswer: 912*a**2 + 4212*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8284 in -2, -7\/4, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279*(-394)\/18321*2\/(1*(-1)\/1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3)*(4*t**2 - t**2 - t**2) - 3*t**2 + 4*t**2 - 4*t**2 + 2 in the form c*t + m + g*t**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (27 + -24) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 92.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1218087 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*i - 13 = 0, 5*i = -o + 3 + 6. Let y = o - 26. Differentiate 18 + 8*a**3 + y*a**2 - 13 - 3*a**2 with respect to a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3\/3 - 11528*q**2\/3 + 87308*q\/3 + 12256 = 0. Calculate q.\nAnswer: -2\/5, 8, 2298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 504*d**2*i**3*s + 72429*d**2*i - 42*d*i**3*s + 571*d - i**3*s + 2*i**2*s + 65*i*s + i wrt d.\nAnswer: 1008*i**3*s + 144858*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by 6?\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1010)\/303*(-3)\/24*-1)\/((-30)\/198)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 499078 to the nearest one thousand.\nAnswer: 499000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 5, 2\/15, -2\/21, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45526224 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 1. Let d be (-2)\/(10\/(-3) - -3). What is the units digit of p(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 5*x + 5. Let w be l(6). What is the remainder when (w\/3)\/((-3)\/126) is divided by 2\/(-8) + (-21)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3960214, 7920292, 11880370, 15840448, 19800526?\n\"Answer: 3960078*l + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*b**2 - 12*b + 12*b to the form z + o*b + i*b**2 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d - 21*d + 2*d + 4*d**3 - 37*d + d.\nAnswer: 4*d**3 - 73*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7810976 or 7810979?\nAnswer: 7810979","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 + (-5 - -6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17208745 divided by -1?\nAnswer: 17208745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, r: 2, l: 5}. Give prob of sequence rl.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-18) + (-238)\/18. Let d = -8 - b. Solve d*u + 12 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 - 2656*i**4 + 5318*i**3 - 2660*i**2 = 0. What is i?\nAnswer: -1330, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-2)*-4 - (29 - (7398 - 33)) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 3*z**2 - 19*z**3 + 16*z**3 + 2 + 5*z. Does 15 divide u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11140?\nAnswer: 2, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/33? (a) -2\/13 (b) -2\/5 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = l - 5*l, -4*l - 12 = 0. Suppose 4*v - p*v + 8 = 2*i, -3*v + 6 = i. What are the prime factors of (19 + -17)\/(v\/89)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 489\/5, -4.44, 6?\nAnswer: 489\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/11, -0.02276, 14, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:27 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 56774618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/20, -12, -1?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.3 (b) -0.29 (c) 2\/13 (d) -11\/3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750 a factor of 110272500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-105)*7*6\/1200*36?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 3 = 2*u. Suppose 2*p - 37*p - 5880 = 0. Let a = p - -180. Calculate the remainder when u is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5786634.\nAnswer: 2, 3, 7, 137777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 - 98 = 7*b - 0*b. What is the highest common divisor of b and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 180a0 - 4?\nAnswer: 18097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 2. Let y = 14 + -7. What is the remainder when u(6) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4 + 5494*z**3 + 3950452*z**2 + 240964160*z + 237019200 = 0?\nAnswer: -1340, -66, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*u = 0, 5*u - 9 = -h + 7. Let v = 0.1 + -0.1. Which is the closest to v? (a) -0.5 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4371, -8760, -13161, -17580, -22023, -26496, -31005, -35556?\nAnswer: -40155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*z - 2015 = 4654 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.3 + -16.3. Let v = -105 + 106. What is the closest to 1\/3 in m, v, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 6*m + 24 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:39 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2563 - 2569.275. What is x rounded to 1 decimal place?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -1 + 0*a**2 + 0*a + 1\/3*a**3. Let t(b) = 15*b. Let l(c) = -8*c. Let q(k) = -7*l(k) - 4*t(k). Calculate q(h(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/(2\/6). Let q be f\/((-10)\/(-4))*10. Solve q*m + 3*j = -0*m - 16, 4*m = 2*j - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342664 (base 10) to base 9.\nAnswer: 572037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9658*d**3 - 9742 + 9742.\nAnswer: 9658*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.23347 seconds in nanoseconds?\nAnswer: 40233470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.2, -1\/4, 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 821 + -431. Let o be (-78)\/j*-2*(-2 - -4). What is the nearest to -10 in o, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -75, -79, -85, -93?\n\"Answer: -h**2 - h - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92652798*s - 2340 = -92652863*s for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (35 - 43)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/60 - a**5\/6 + 5*a**4\/12 + 3*a**3\/2 - 2*a**2. Let w be (1 - (-65)\/25)*(-10)\/(-6). What is the units digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 963, 2028, 3093, 4158, 5223, 6288?\n\"Answer: 1065*j - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1334.195 or -4?\nAnswer: 1334.195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 6*g - 11. Suppose j - 2*j + 8 = 0. Let h be r(j). Suppose -4*q = -3*v - 5, 1 - h = v + q. Is 1 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 32, 48, 64?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/5*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**6\/2340 + y**4\/39 + 38*y**3\/3 - 50. Let c(h) be the third derivative of a(h). Solve c(l) = 0 for l.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -173467 + 4?\nAnswer: -173463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i. Let c(p) = -p. Let j(y) = 5*c(y) - 2*k(y). Let s(n) = -5*n. Give s(j(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5306676871 to the nearest integer?\nAnswer: 72847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-15) - 4\/(-6). Calculate the remainder when r + (-42)\/(-1) + 0 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -73*o**3\/6 + 39*o**2\/2 - 8*o + 5. Is q(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 18*m**2 + 16*m - 45. What is the smallest common multiple of 1 and f(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.403 + 11.3. Let k = 0.003 + x. Let z = -1.5 + k. Is 2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 3*v + 2*v. Suppose -v = -5*l + 453. Round l to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -98.9. Let l = 40 - 35. Let u = t - l. What is the nearest to u in -3, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 211429, 845784, 1903063, 3383266?\n\"Answer: 211462*b**2 - 31*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -4, 1 in decreasing order.\nAnswer: 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5*5\/25)\/((-3)\/(-9)). Suppose n + 72 = -3*n - 3*k, 5*n = j*k - 90. Let v = 22 - 41. Is v at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85131 divided by 28377\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -74*m**2 - 5. Let r(n) = -4661*n**2 - 316. Determine 316*j(b) - 5*r(b).\nAnswer: -79*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.43463 micrograms to grams.\nAnswer: 0.00005443463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3\/2 (b) 0.031 (c) -80\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (63\/18)\/(((-1624)\/1152)\/(-29))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 113*r**2 - 106*r**2 + 0 - 1.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-3) - (8 - 2). Put h, 10, -14 in descending order.\nAnswer: 10, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 7*p - 8. Let t be h(6). Let s be (t\/6)\/(4\/(-60)). Suppose 50 + 68 = s*v - b, 3*b = v - 18. What is v rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 327100 + 0?\nAnswer: 327100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (sqrt(3) - (sqrt(3) + sqrt(12)\/sqrt(4))**2) + 4.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -39. Suppose 5*n + 2*u = 2*n + 13, 0 = l*n - 3*u - 28. Find the third derivative of 3*i**4 - 6*i**n - 3*i**4 + 112*i**2 - 153*i**2 wrt i.\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -30. Factor -12*v**2 + 4*v**2 + 98 - 28*v + 10*v**l.\nAnswer: 2*(v - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -640 less than or equal to -640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 86 = -2*d, -46 = i - 4*i + 4*d. Suppose 14*z - i*z = -224. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 2*m**2 - 2*m**2 + (-3*m - 2*m + 3*m)*(1 - 1 - 2*m))*(-4*m + 4*m + 2*m)*(15 - 18 + 5).\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -4, 3 in descending order.\nAnswer: 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.019 + 0.119. Let u = -0.6 - 1.4. Let g = -0.25 - -1.25. What is the third smallest value in g, u, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*y**2 + 15609*y + 501920.\nAnswer: -16*y + 15609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*z + 11507 = 58*z - 3*z - 8909 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3276 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -15409*y**3 + 30815*y**3 + 5*y + 5 - 15392*y**3 - 9*y**2. Let j(k) = -7*k**3 + 5*k**2 - 3*k - 3. Determine 5*j(s) + 3*t(s).\nAnswer: 7*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-129)\/(-3 + 0) + -3. Suppose 5*v = -10 + m. Find the first derivative of -6 - v*r + 11*r - 2 wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, -9, 43, -4, -2, -3 in decreasing order.\nAnswer: 43, -2, -3, -4, -9, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1272.085694 to the nearest 10.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680316 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 165185, 165252, 165319, 165386, 165453, 165520?\n\"Answer: 67*n + 165118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1117, 1830, 2451, 2980, 3417?\nAnswer: 3762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 + 570*z**3\/7 - 1146*z**2\/7 + 82*z.\nAnswer: 2*z*(z - 1)**2*(z + 287)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.36 + 0.4. Let p = -23 - -13. Let m be (7 + p)*4\/6 - 3. What is the third smallest value in 1\/7, l, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2404121 is divided by 827?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*y**3 - 339*n**2*y**2 - n*y**3 + 2449*y**3 with respect to n.\nAnswer: -2*n*y**3 - 678*n*y**2 - y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105 - 105 + 5*w**2 + (-4 + w + 4)*(2*w + 1 - 1) to the form j + p*w + k*w**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/9, 0, -4, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1797*w**2 - 142 + 1797*w**2 - 7*w**3.\nAnswer: -7*w**3 - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95150 or -95119?\nAnswer: -95150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*d**2 - 362*d**2 + 166*d**3 - 168*d**3.\nAnswer: -2*d**3 + 50*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v*v**(-3))\/v)\/v*v)*v*v*v*v**(6\/11)\/v*v*(v\/(v*v\/(v\/(((v\/v**(-1\/3))\/v)\/v)*v)))\/(v\/(v**(1\/4)\/v)))**(2\/15) assuming v is positive.\nAnswer: v**(853\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1298*n**6 + 11*n**4 - 425*n**3 + 18855125*n**2?\nAnswer: -155760*n**3 + 264*n - 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -53 (b) 514 (c) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 8*v**2 - 6*v + 3. Let m be i(7). Let k = 26 - m. Suppose 0 = -2*o - 38 + k. Round o to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/(2\/(-5)). Suppose -2*l = -5*q + 36, q - 2 = 8*l - 5*l. Suppose -5*d = -3*o + 12, 0 = 2*o - 5*d + 3*d - q. Solve -s*y + o = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/13))\/(a*a**(-7)))**(4\/27)*(a**(-2\/7))**8\/((a*a\/(a**4\/a))\/(((a\/(a*(a\/((a\/(((a**3*a)\/a)\/a))\/a))\/a*a)*a*a*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-1823\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s**2 + 82*s**2 - 49*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 7. Let q(p) = -p - 3. Is 4 a factor of q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 - 27548*l**2\/7 - 483528*l\/7 + 140400\/7 = 0. Calculate l.\nAnswer: -1950, -18, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/((g**33\/g)\/g*g))\/(g\/g**(-12\/13))*(g**31*g)**(-9) assuming g is positive.\nAnswer: g**(-4133\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) -0.39 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/70 + 53*h**4\/21 + 215*h**3\/21 + 108*h**2\/7 - 60*h. Factor f(r).\nAnswer: -2*(r - 108)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2025800 and 336?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2645370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b*b\/(b*b\/b**(-3\/7))*b*b)\/b*b)*b)\/b*b)\/b**7)**(26\/7)*b\/b**(1\/2)*b*b**(-5\/4)*(b**0)**(5\/2) assuming b is positive.\nAnswer: b**(-5463\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2\/17*i**2 - 280\/17 + 62\/17*i = 0.\nAnswer: -35, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100993320*m*x**2 - 2*m*x - 4*m + x**4 + 951409*x - 10 wrt x.\nAnswer: -201986640*m + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 11*j**2 + 315*j - 3460. Let o be g(11). Solve -2*r + 22 = o*v, 16*r - 4*v + 18 = 18*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 681? (a) -16 (b) 2 (c) 0.2 (d) 3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 10408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.719\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9426522 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/4 + 7*x**3\/3 - 5*x**2\/2 + 9*x + 1. What are the prime factors of k(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -3, -23, 2, 0.1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28566*i**2 - 7303*i*p + 1860*p - 85891 wrt i?\nAnswer: -57132*i - 7303*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 1, -0.042, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 7*t**5 - 2*t**5 + (-12*t**3 + 13*t**3 + t**4 - 39*t**3)*(2*t + t - 2*t).\nAnswer: 3*t**5 - 38*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 85 = -2*u. Suppose 5*d = 6*d - 48. Suppose -b = -d + u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/4, 2, 16, 4 in decreasing order.\nAnswer: 16, 4, 2, 3\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 1)*-1)**2 + 1.\nAnswer: 18*sqrt(17) + 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p - 6274 = -5*d, p = -3. Suppose 4*f - d = 3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4214383 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4 - 369735*v**3 - 2218311*v**2 - 1109121*v + 3697170 = 0. Calculate v.\nAnswer: -123239, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -91. Suppose 10*k = s*k + 1458. Find the common denominator of -7\/2 and ((-1)\/2 + k\/18)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 31. Let s be i(-20). Let k(t) = 4*t**2 + 4*t - 5. Let a(p) = p**2 + p - 1. Calculate s*a(h) + 2*k(h).\nAnswer: -h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 223487, 226335, 231081, 237725, 246267, 256707, 269045?\n\"Answer: 949*f**2 + f + 222537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15873.\nAnswer: 3, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -143, -1061, -3511, -8249, -16031, -27613?\n\"Answer: -126*q**3 - 10*q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 11. Suppose -48 + 19 = -j*u - 5*l, -5*u - 4*l + 64 = 0. What is the greatest common divisor of 18 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 8*a - 17*a - 3*a. Let f(x) = -11*x**2 + 5*x. Let i(o) = 5*o**2 - 2*o. Let q(w) = 2*f(w) + 5*i(w). What is q(u(s))?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -96, 5\/4, -0.06, -4, 1, 4\/5, 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - s)*((-3*s + 0*s + s)*(1 - 2 + 0) - 2*s - 2*s + 3*s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 7:53 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*d - 4*d. Let g = d - 10. Let r = 18 - -2. Solve -r = g*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 300*k**4 - 5320*k**3 + 68596*k**2\/3 + 6384*k + 432.\nAnswer: 4*(k - 9)**2*(15*k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10*s + 80 = 0. Let r = s + -13. Find j such that -1\/2 + 1\/4*j + 3\/4*j**2 - 1\/4*j**r - 1\/4*j**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/2 + 47*z**3 + 580*z**2 + 1600*z = 0. What is z?\nAnswer: -80, -10, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 - 117. Let i(n) = -n**2 + 7*n - 7. Let u be i(p). Sort -1, 4, u in increasing order.\nAnswer: -1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 58*g - 25*g + 960 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.3 + 45. Let n = -6.639 - z. Let r = 0.34542 + n. What is r rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/3 - 62*j**4\/3 + 4738*j**3\/3 - 20810*j**2\/3 - 56072*j\/3 - 30464\/3 = 0. Calculate j.\nAnswer: -68, -1, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4 times 8?\nAnswer: -99.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*z - 10 = 0, 2*z - 3*z + 5 = -2*h. Let o = -0.08 + 0.28. Which is the nearest to o? (a) 2 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5042316 divided by -3?\nAnswer: 1680772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*s**5 - s**5 - 14*s + 38*s wrt s.\nAnswer: -300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Let v(u) = 2*u**2 - 71*u + 2. What is -v(w) + 4*y(w)?\nAnswer: 2*w**2 + 71*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f - 27. Let w be t(0). Let u = 41 + w. Suppose 4*o = -3*n + u, 0 = -3*n - o + 2*o + 4. Solve -n*d - 4*k + 1 + 5 = 0, -5 = -2*d - 3*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 11*s + 7. Let f be j(3). Solve -4*h = -f - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48157354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 37*v. Solve v = -3*q + x - 14, -3*q - 2*x + 5 - 22 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24\/157 (b) -0.2 (c) 2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58968446, -58968449, -58968454, -58968461, -58968470, -58968481, -58968494?\nAnswer: -58968509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**4\/24 + j**3\/6 - 285*j**2 - 2*j. Let u(n) = -2*n**2 - 3*n - 3. Suppose 3*g + g - 8 = 0. Give g*o(w) + u(w).\nAnswer: -2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3*q**3 - 106*g**3 + 60*g**2*q**4 wrt q?\nAnswer: 6*g**3*q**2 + 240*g**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m + 1. Let i(d) = 70*d - 6. Let j(v) = 6*a(v) + i(v). Let l(u) = -4*u + 6. Let y(z) = 2*z + 1. Let p(k) = l(k) - 6*y(k). Determine p(j(s)).\nAnswer: -160*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6468 + -6411. Calculate the greatest common factor of 10317 and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 29*o**2 - 167*o + 7. Give i(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h - 20 = 44*h, 5*i = -2*h - 2. Which is the nearest to 3? (a) i (b) -2\/19 (c) -0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 17 = -3*y, 2*y - 2*p = -6*p + 2. Suppose 0 = -y*a - 0*a - 5. Is (a - 0)\/(4\/(-84)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 39, -4\/7, 4, -3, -1.66, 0.4?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2059*y**4 - 4714 wrt y.\nAnswer: -8236*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2537*n + 2711*n + 6236*n + 2025*n + 2201*n as u + k*n and give k.\nAnswer: 15710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18064, 4, 34, 3 in ascending order.\nAnswer: -18064, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44 (b) -2\/3 (c) -0.2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47229409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-150690878)\/(-429))\/13 - 2\/33 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(320)*1) + 3)**2.\nAnswer: 3*sqrt(13)\/4 + 589\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o**(-3\/7)*o)\/o*o)\/o)\/o)**10*o**9\/o**(10\/3) assuming o is positive.\nAnswer: o**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-15 - 1 - -3 - (-364 + 365)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-44)*(-3)\/(-6)*(-46)\/69\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-45))\/(77\/605*11)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 237\/(-1185) + ((-7202)\/1890 - -4)?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3)\/(2983\/190 + (-8)\/(-10))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = -6*y. Factor -8*a + y + 5 + 14*a + 3*a**2 - 5.\nAnswer: 3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 - 176\/(-18) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + -5*(-2*sqrt(77) + sqrt(77) - sqrt(77))) - (sqrt(77) + -1*sqrt(77)*-2))\/(1*1*sqrt(112)).\nAnswer: -13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4670195.\nAnswer: 5, 934039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 1:31 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04541612 rounded to 4 dps?\nAnswer: -0.0454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/((-2)\/2))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - 2*q**2 + 2*q**2)*(-123 - 10*q + 123)*(1 + 6 - 6).\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*f - 132*f - 86*f - 900 = 0 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69067719 and 252?\nAnswer: 276270876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -22. Find the common denominator of 376\/160 + s\/10 and 79\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*((-1 + 2 + 2)*(2*o - 5*o + o) + o + 17*o - 5*o + (o + o - 3*o)*(4 + 1 - 2) + 4*o + o - 4*o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*f**2*k*u**2 - 11*f**2*k + f**2*u + 11*f*k*u**2 + 102*f*k*u + 2029*k*u**2 + 9*k - 9 wrt u?\nAnswer: 86*f**2*k + 22*f*k + 4058*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -57.715. Let v = -0.11 + n. Let i = -0.14 + v. Round i to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374461473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23766 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) 0 (c) -2\/3 (d) 3.8 (e) -1\/7 (f) 11 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34764 to 2 dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1252 (base 8) to base 15\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3251021477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 39 + 53 = 2*l, -4*l = -4*a - 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 19*y. Suppose 11*j + 0*j - 110 = y. Calculate the remainder when 147 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2008)\/753*(-300)\/16.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3584 and 54825984.\nAnswer: 383781888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3. Let s(p) = p + 2. Suppose 0 = r + 5*r + 18. Give r*s(o) + 2*y(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 + 68. Let o(a) = 3*a. Calculate o(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h + 324 = 15*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6830208 and 2723952?\nAnswer: 457623936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.261988 plus 25?\nAnswer: -19.261988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -229\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-12))\/((-27)\/30)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1750 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247011686.\nAnswer: 2, 3049, 40507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14993 is divided by 1976?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -1\/12*z**4 + 0*z**3 - z**2 - 1\/24*z**6 + 0*z + 0*z**5 + 0. What is the second derivative of m(b) wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -33, 2, 139, 14, -85, -5 in increasing order.\nAnswer: -85, -33, -5, -2, 2, 14, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54323 (base 6) to base 14.\nAnswer: 2a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 24 = -4*b, 0 = -2*v - b - 0*b + 10. Let p(c) = -c**2 - 6*c + 1. Let j be p(-6). Let r = j - 3. Sort 0, v, r in decreasing order.\nAnswer: v, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*y + 6 - 126 = 0, -3*y = -4*r + 96. Calculate the smallest common multiple of 20 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-2)*12\/18. Solve -4*s - k = -11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111082339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 54?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3\/58, -3\/7, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16960520567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-1)\/(-16)*3\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1060)\/(-402) + (-27064)\/10149?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 628 - 406. Let r = 227 - v. Solve -2*m = -0*m - 3*t - 8, -m - r*t - 22 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 4 + 2 - 3*j - 12 - j**2. What is the remainder when 38 is divided by y(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13826150.\nAnswer: 2, 5, 13, 89, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.4 (b) 1\/28 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 9*m + 7. Let t be a(-4). Solve -c - 2*c = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 401 or 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 35 - 233)*(-19*s**2 - 5*s**2 - 6*s**2) to the form m*s**2 + r + d*s and give m.\nAnswer: 7170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 + 28*p - 408\/7.\nAnswer: 4*(p - 2)*(p + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3974 or -0.1?\nAnswer: -0.3974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {n: 1, r: 2, s: 1, z: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1033736 by -1382.\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 30, 1, 5, 4, -5 in increasing order.\nAnswer: -8, -5, 1, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from {d: 1, n: 2, x: 2, q: 6, g: 3}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrlslvrqll. What is prob of sequence slql?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 14*l - 3. Let q be (261\/(-348))\/(3\/4). Let k(d) = -1. Calculate q*y(u) + 3*k(u).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1548.296*-0.2\nAnswer: -309.6592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Let o(g) = -16*g - 76. Let m(c) = 18*c + 75. Let i(w) = 5*m(w) + 6*o(w). Let d be i(-13). Put l, -5, d, 2\/3 in increasing order.\nAnswer: -5, d, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*n**3*t + n**3 + 3*n**2 - n*t - 14*t + 31 wrt n?\nAnswer: -396*n*t + 6*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 + 5)*(-1 + 3 - 1) - 4 - 8 + 6 + (3 + 3 - 7)*(3 - 1 + 1))*(8 - 5*w**3 - 8) as x*w**3 + t + m*w + d*w**2 and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -27901612.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14449374 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 17.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 902 + -2710\/3. Sort -0.2, q, -4 in descending order.\nAnswer: -0.2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 43, 127, 281, 529, 895?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {m: 8, z: 4, i: 2, n: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 2*h - 205*h**3 + 198*h**3 to k*h + c*h**3 + p*h**2 + z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7 - 198*r + 199*r - 4. Calculate n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6742.142 micrograms in nanograms?\nAnswer: 6742142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.049088 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -449 + 19306\/43. Let p = 22094.8 - 22089.8. Which is the third smallest value? (a) p (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 2468531910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-20))\/((-1)\/5). Let b be (2\/3)\/(g\/6). Let p = 2 - b. Calculate the greatest common divisor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010101000001001?\nAnswer: 1010101000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 223465683?\nAnswer: 893862732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w = 3*a - 20, -4*a = 2*w - 40. Suppose -18 = -h - 4*l, -2*l + 6*l = 4*h + a. Let b = 4 + 1. Sort h, b, 4 in increasing order.\nAnswer: h, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 310 + 85776367.\nAnswer: 85776677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.0634 rounded to one dp?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*b**3*p**2 + 60*b**2*p**2 + b**2*p wrt b.\nAnswer: -654*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1034762177*z + 231592586 wrt z.\nAnswer: 1034762177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhehjx. Give prob of picking 1 j and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 1:23 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1358*a**3 - 3*a**2 + 12*a + 3. Let t(j) = -2464771*j**3 + 5444*j**2 - 21776*j - 5444. What is -3*t(n) - 5444*z(n)?\nAnswer: 1361*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 6352023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**(-3\/11)*v)*v)\/(v**0*v*v))**40)**(-17))**31 assuming v is positive.\nAnswer: v**(527000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1153018\/7 or 164718?\nAnswer: 1153018\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2014013 (base 5) to base 11.\nAnswer: 2236a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1516 = -4. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18872*a**5 - 9*a**4 + 5854413*a**2.\nAnswer: 1132320*a**2 - 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*h - 16995 - 589, -5*g = -3*h + 29325. Let c = 93927\/16 + g. Find the common denominator of c and (6\/(-28))\/(9\/129) + 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:46 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.9 + 2.1. Which is smaller: r or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -4*v + 28 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/36*-6)\/(33\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 66502682.\nAnswer: 2527101916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 12608.\nAnswer: -1\/6304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001110101111011110 (base 2) to base 10.\nAnswer: 1108958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 90110, -0.2, 2\/11, -1, 0.4?\nAnswer: 90110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1)*b))**(-3)*(b*b\/(b\/(b**(-2)\/b)*b*b*b)*b)**25 assuming b is positive.\nAnswer: b**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let h(o) be the first derivative of -9*o**5\/20 - 13*o**2 + 13. Let j(n) be the second derivative of h(n). Determine j(p(z)).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-116)\/290 - 104\/(-10). Let p(s) be the first derivative of 3*s**2\/2 - 21*s + 1. Let g be p(v). What is the highest common factor of 15 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39648 and 18816.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 5. Suppose 3*a + 2*v = 31, 95*v - 99*v = -2*a + 42. What is the nearest to 2\/3 in t, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 358. Let g(d) = -10*d + 714. Give -3*g(y) + 7*j(y).\nAnswer: 2*y + 364","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3230.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let i(g) be the third derivative of -7*g**4\/24 - 7*g**3\/6 - 49*g**2 + 11*g + 1. Calculate i(w) - 5*p(w).\nAnswer: -2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 201*s**3 + 98*s**4 - 201*s**3 + (-5*s**2 - s**3 + 5*s**2)*(s - 2*s - s) + 2*s**4 - s**4 + 0*s**4.\nAnswer: 101*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 229*s**2 - 203*s**2 as v + w*s + p*s**2 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (484\/(-8712))\/((-2)\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 2*a - 0*a. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 12. Suppose -56 = -4*i + l, i = 3*i + f*l - 28. Let a be i\/(-49) - (-2)\/56. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4\/(-4))\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40464\/(-2880))\/281)\/3?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 24*r + 8*r)*(0 + 2 - 3)*(r - 2*r + 0*r).\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, m: 4, w: 1, h: 1, a: 6}. What is prob of sequence ag?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 16717042 in increasing order.\nAnswer: -12, 2, 16717042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:02 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45\/(-3)*(-9)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/6)\/o*o*o**(-15)*o**(5\/7)\/(o\/(o*o\/o**(-3\/7)*o*o)) assuming o is positive.\nAnswer: o**(-421\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(5*sqrt(875) - sqrt(875)) + sqrt(875))*-4)\/(1*(sqrt(336) + 1*sqrt(336))\/sqrt(3)))**2.\nAnswer: 6125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f + 1. Let i = -3 - 26. Let r = i - -27. Calculate z(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 divided by 3?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 - 4*x**3 + 0*x**3 + 26*x**3.\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 + 113. Suppose 4*j + 4*q - 250 = 2*j, -122 = -j - f*q. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -734, -2163, -4212, -6887, -10194?\n\"Answer: -u**3 - 304*u**2 - 510*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -32218*b - 257739. Determine t(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -70. Let m be (-1)\/5 - 16\/a. Let 0*w**2 - w**4 + 0*w + 4\/5*w**5 + 0 + m*w**3 = 0. What is w?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -a + 7355, -3*x + 2*a + 4415 = 3*a. Calculate the remainder when x is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1 + 8*v - 4 - 5*v + 0*v. Let r(u) = 24*u - 24. What is -33*l(h) + 4*r(h)?\nAnswer: -3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 3 - 3)*(-13*w - 7 + 7)*(w**2 - 4*w**2 + 2*w**2) to the form r*w**2 + g*w + v + o*w**4 + a*w**3 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 617896.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**5\/5 + 35*u**4\/4 - 569*u**3\/3 + 2565*u**2\/2 - 3600*u - 8633. Factor y(t).\nAnswer: (t - 5)**2*(t - 3)*(t + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2718 = 5*b - 3537. Suppose -2*h - b - 669 = 0. What is the units digit of h\/36*(-6)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -1, -4 in descending order.\nAnswer: -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -601*u**5 - 275*u**5 + 565*u**4 - 1197*u**5 + 216*u**2 - 565*u**4 wrt u.\nAnswer: -124380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y - 7*y**3 - y**2 + 6*y**3 + 2*y**3 + y**3 to z*y**2 + g*y**3 + b + m*y and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 3 - 2 - (-128)\/41. Let n = s - 215\/82. Let p = n + 19\/6. Is p smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 2*h**2 - 2*h + 1. Let y be w(1). Let i be (3\/4)\/(y\/(-36)). Let q = 59 + i. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 2*c - 5*c. Suppose 2*z + 248 = -412*n + 414*n, -5*z + 35 = 0. What is the remainder when n is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 117 = 0, -a - 1005 = -2*a - 2*c - 1084 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.34502 less than -23.67042?\nAnswer: -10.3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 13\/1299834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -4 + -1 + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -79131 at least -553914\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21135 and 162640.\nAnswer: 687479280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 31*z**2 - z + 15. Calculate s(31).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292690.1 decades to years.\nAnswer: 2926901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/7)*f**(-1\/4))\/(f\/(f\/(f\/((((f\/(f\/((f*f**(9\/5)*f)\/f)*f))\/f)\/f)\/f)))*f\/(f\/(f**7*f)))*((f\/(f**(3\/8)*f))**4)**(8\/5) assuming f is positive.\nAnswer: f**(-1699\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p + 48. Let z be p*2175\/(-9)*-1. What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -10. Calculate the least common multiple of (-40 - -7)*(-1)\/3 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*d + 40 = 538*d. Let t(w) be the second derivative of 0*w**3 + 3\/2*w**2 - 8*w - 1\/12*w**d + 0. Calculate t(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 - (-48 - -41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = -5, -2*u - 274 = -5*f. Suppose -t + f = -0*t. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2031 + 3*j**2 - 2105 + 3*j + 2*j**2 - 4*j**2. List the prime factors of b(25).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 4*w - 25 + 6, -17*w + 12*w = -30 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4 + 2 - 3*v - 1. Suppose -7*x + 3*x = 2*a - 6, 3*x = -3*a. What is d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydfyydddyyffyffdcff. Give prob of picking 2 f.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(450))\/sqrt(10).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*h + 126*h - z + 8 = 0, -5*h + 5*z + 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 2398613808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1158971 * -1.4.\nAnswer: -1622559.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 233 + -229. Let h be -2 - (-3 - (1 + 2)). Solve -q + 22 = k*v, -2*q + 2*v = 10 - h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3246 and 184428.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228433 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -14*l + n - 69, -n = -3*l - 22 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43159 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/10 + c**4\/12 - c**3\/3 + c**2\/2 - 101*c. Give q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -44*i - 145. Give l(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01959878 rounded to four dps?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44 + 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, x: 6, s: 1}. What is prob of sequence sxax?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -40631 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 23*h**2 + 24*h - 12. Determine b(22).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-12320)\/(-3528))\/(-22))\/((-50)\/(-28)))\/((-4)\/5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 23\/8 of a kilometer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + (-1547)\/143)*(-1617)\/98?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-390)*2\/(-1)*10\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**4\/12 + 3*w**2. Let z be l(1). Let s be ((-500)\/z)\/(5\/700). Round s to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/3, 2155422?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5967074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(400) - sqrt(400)*-5) + sqrt(25))\/(4*sqrt(500)))**2.\nAnswer: 125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 14*y - 12. Suppose 0*c + y*h = -3*c - 252, 0 = -4*c - 3*h - 341. Let w = c - -166. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630200 (base 7) to base 4\nAnswer: 122121233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 + 450763212*a**3 + 16932288990283194*a**2 - 33864579332856036*a + 16932289891809627 = 0 for a.\nAnswer: -75127203, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let l(h) = -20 + 2*h**2 + 36 - 4*h - 16. Determine g(l(i)).\nAnswer: 4*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8643.7 - 8644. What is the second smallest value in 3, -2\/5, -0.1, i, -0.04?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 99 - 10*n + 0*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17471 is divided by 17471.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from bvgfp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1300) + 1)*4)**2.\nAnswer: -640*sqrt(13) + 83216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by ((-14)\/5)\/(7\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 9*v - 3. Let z be k(-5). Suppose z + 2 = 5*f + g, 2*g = -2*f + 6. Suppose -f*l = -6*l + 30. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/17*(60\/(-56) - (4 + -5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223.789817 - -0.08043.\nAnswer: -223.709387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 3*j**4 + 0*j**4 + (-j**2 - 3*j**2 + 2*j**2)*(2*j - 7*j + 2*j)*(j + 3*j + 2*j) + (-4*j**2 - 2*j**2 + 4*j**2)*(6*j**2 - 4*j**2 - 5*j**2).\nAnswer: 44*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m + 55*m = 28 + 11. Solve 4*j = -m*n - 14, 10*n - 12*n = -2*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1651 = 135*m - 72*m + 104*m + 2486 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*l - 4 = 369*l. Suppose j - 4 = -3*j, 3*j = l*f - 3. Solve y - m = -y + 9, f*m + 19 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**3\/2 + 3*c. What is the tens digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142359912 and 454824.\nAnswer: 142359912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 836 + -821. Solve -n = 4*n + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoo when three letters picked without replacement from aaaaaaaoaaaoaaaaoaaa.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 50 = -5*n + 8*j, 5*j = 3*n - 30. Suppose n = 6*r - r. Calculate the lowest common multiple of 7 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(4\/4 + -2). Suppose 5*c - 4*g = 16, -g + m = -c + 4*c. Suppose c*f = 14 + 50. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, -2\/3, 3\/2 in increasing order.\nAnswer: -2\/3, 3\/2, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:17 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -5. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 4}. What is prob of sequence iiq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o - 123. Let g be z(-14). Let b(r) = 0*r + g*r - 4*r + 170*r**2 - 171*r**2. Determine b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 5 + -4 + 0. Is 24\/11 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*k, 0 = 8*t - 12*t - 3*k. Let n(g) = 5*g**2 + 12*g + 1. Let j(z) = 9*z**2 + 24*z + 2. Determine t*j(a) - 11*n(a).\nAnswer: -a**2 + 12*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*q + 6. Suppose 2*s + q = -s. Let j(c) = 63*c**2. Let p be j(s). What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417701859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 1365*i**2 + 5218*i + 353159. Calculate f(1369).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -65 + 182*w - w**3 - 363*w + 204*w + 0*w**3 + 17*w**2 + 0*w**3. Is 65 a factor of i(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 2.\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -978 (base 13) to base 10\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 35*x + 25 = 0. Let o(a) = a**3 + 8*a**2 - 8*a + 12. Let u be o(-9). Suppose u*s + 3 = -z - 3*z, 3*s = -5*z. Solve -x = 2*t + z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f - 187. Let k be y(-29). Suppose 20 = 5*v, t = -v - 15 + 51. Calculate the highest common divisor of k and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -212, -615, -1318, -2399, -3936, -6007, -8690?\n\"Answer: -13*q**3 - 33*q**2 + 9*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**3 + 15*h**3 + 81*h**3 - 107*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 410*j + 2. Let s(o) = 14*o**2. Calculate z(s(f)).\nAnswer: 5740*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 14715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -189.\nAnswer: -94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*i + 3*d, 0 = -13190*i + 13186*i - 2*d - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -263*b - 368*b + 1723*b as k + n*b and give n.\nAnswer: 1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c + c**2 + 1 + 9*c - 7. Let q(f) = -f**3 - 7*f**2 + 8*f - 6. Let b be q(-8). What is the units digit of i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, j: 2, d: 4, z: 2, l: 1, a: 6}. What is prob of picking 3 a and 1 d?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2 (b) -0.5 (c) -8\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**2 + 8*f + 14. Let l(s) = 17*s**2 - 23*s - 43. Let z(k) = 3*l(k) + 8*x(k). Let q = 2 + -7. Does 27 divide z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1451)\/(-645) - 4\/2. Let y = -275969\/43 - -6418. Let f = h - y. Put 0, -0.5, 0.3, f in increasing order.\nAnswer: -0.5, 0, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2964 and 3\/208?\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*p = 16, 3*p - 2*p = -3*z + 14. Let b(f) = f**3 - 14*f**2 + 4. Let i be b(14). Solve -i*q = -5*w - 41, -w - z*w - 13 = 3*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(300).\nAnswer: 1 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13265284?\nAnswer: 2, 3316321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {f: 5, z: 4, i: 3, a: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/200 and -101\/220128.\nAnswer: 5503200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 6:24 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/3, 3\/145, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 13*j**2 + 1 - 13*j**2. Let o(b) = -12*b**3 + 3*b**2 - 9. Let l(t) = -o(t) - 9*q(t). Find the third derivative of l(y) wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1307611*r + 1307581. Determine m(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (527*k + 461 - 461)*(28*k**3 - 4*k**3 - 16*k**3).\nAnswer: 4216*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -8703 at least as big as -7807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 26*f**2 - 2*f + 1. Let m be (4\/6)\/(2\/3). What is the remainder when v(m) is divided by 72\/9 + 4 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/19 and -137\/369474?\nAnswer: 369474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -13\/2, -4\/7, 131, 2 in increasing order.\nAnswer: -13\/2, -4\/7, 0.3, 2, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*c + 3*c. Suppose -2*t + c*v = 2*t + 4, -28 = -4*t - 5*v. What is the third derivative of -l + l - t*l**2 - 2*l**5 wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8)\/a*a*a\/(a**(-14\/5)*a)*a)\/((a*a**14*a)\/((a**(-2\/3)*a)\/a)) assuming a is positive.\nAnswer: a**(-1559\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -55024?\nAnswer: -55026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3716115, 9, -3?\nAnswer: 3716115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 47.04. Let b = -12 + 8. Let y = 0 + b. What is the biggest value in j, y, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-40)\/(-6))*-4. Suppose d*o = -q + 93, -3*o - 6*q + 99 = -7*q. Solve o*a - 30*a = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1351*o + 3 - 1920*o - 1557*o.\nAnswer: -4828*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46554425 divided by 11861.\nAnswer: 3925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.4? (a) -0.4 (b) -1\/7 (c) -0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 270.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 9760048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4386a (base 12) to base 9.\nAnswer: -145521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u**2 + 32*u + 247. Calculate s(-9).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 3.1. Let v = -1.6 - f. Let x = -1 + v. Which is the nearest to 0? (a) 1\/7 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0 - 1\/14*v**7 + 0*v**5 + 0*v**2 - 5*v + 0*v**3 + 7\/12*v**4 + 0*v**6. What is the third derivative of g(f) wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(98))*-1 - sqrt(98)) + 1)**2.\nAnswer: -56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5422279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081537615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -3, 16, 12\/5, 0.4, -6\/23?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 106*i - 147. Let q(u) = 73*u - 101. Let f(x) = -11*h(x) + 16*q(x). Let n(v) = -v - 1. Let c be n(2). Let s(a) = -a + 0 + 0. What is c*s(g) - 2*f(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*1\/25)\/((-4)\/5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - 87*j**2 + 79*j + 29. Give d(28).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 6, -0.3, -1\/4, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -22*t**2 - 2*t. Let s(y) = 6 - 2*y + 14 - 20. What is b(s(f))?\nAnswer: -88*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 102766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -2*v + 2, -184*w + 185*w - 5*v + 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:01 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + 6*g**4 - 2*g**4)*(-1 + 1 - 1) + 2*g**2 - 2*g**2 - 2*g**4 + 277*g**4 + 18423*g**3 - 1 - 18423*g**3.\nAnswer: 274*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -1141*w**3\/2 - 7*w**2\/2 - 4*w. Let x be s(-9). Round x to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -21 + 3\/(3 + 0). Suppose -16 = m - 3*y - 22, 3*y + 18 = 5*m. Let r be (m\/(-14))\/((-5)\/h). Are r and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(1900)*4 + -1))**2 - ((2*sqrt(2736))**2 + -4 + 0 + sqrt(2736) + 2 + -5).\nAnswer: 3988*sqrt(19) + 3029088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 143. Let k be 32\/4 - z\/((-14)\/4). Let u be (k - 2)\/((-1)\/(-2)). Which is the second biggest value? (a) u (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7263 + 13159. What is the greatest common divisor of i and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-1127)*-2*(-4081)\/(-1749).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3925, -7842, -11759, -15676, -19593?\n\"Answer: -3917*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/18)\/(7\/(-3)))\/((-42)\/(-1848))\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96611\/97 - -996. Let r = i + 185\/873. Which is the second smallest value? (a) r (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4615196, -9230394, -13845592, -18460790, -23075988, -27691186?\n\"Answer: -4615198*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.9. Let s be 220\/285 + (-6)\/9. What is the closest to 0.1 in s, n, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 = 2*l, -4*l - 4 = -3*b - 5*l. Let v(t) be the third derivative of -1\/2*t**3 + t**2 + 1\/12*t**4 + 0*t + b. Differentiate v(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*t = 14, x + 2*t - 2 = 2*x. Let u be (-3 + 4)\/(-1 + x). Which is bigger: u or -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -1 (c) 54 (d) -4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((3 - 1)*-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o - 204. Let x be m(51). Let h(p) be the third derivative of x*p - 1\/3*p**3 - 1\/40*p**6 + 1\/60*p**5 - 6*p**2 + 0*p**4 + 0. Give h(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**3 + 12*m**2 - 45*m + 5. Let d(g) = -g**3 + 6*g**2 - 2*g - 4. Let r be d(5). Is q(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhhwwhhwh. Give prob of picking 3 w and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -90. Let h = 38 + l. Which is the closest to 2\/5? (a) -5 (b) h (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 527 by -61.\nAnswer: -527\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - 54) - -29.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -111110011011010111100?\nAnswer: 111110011011011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1258.407 - 10.56\nAnswer: 1247.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92822 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1151187 + 1064?\nAnswer: -1150123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/6 - 12*h. Let i(r) = 0*r**2 - 3*r**2 + 0*r**2. What is i(l(b))?\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -415 (b) -2\/11 (c) 3 (d) 0.3 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 113 + 57 = 0. What is the remainder when 58 + -50 + (192 - -2) is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/3)*w)\/(w**(-2\/15)*w))\/(w\/(w*w*(w\/w**(-4))\/w)*w\/(w\/w**7)) assuming w is positive.\nAnswer: w**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303732471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 19*a**5 + 5*a**2 + 6*a + 499. Let s(v) = -2*v**5 + v**2 + v. Let g(u) = 5*s(u) - w(u). What is the second derivative of g(p) wrt p?\nAnswer: -580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -9. Calculate the least common multiple of k and 2\/(-6) - (-10 + (-180)\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 5*j. Let h(c) = -c**2 + c. Let y(o) = -d(o) + 5*h(o). Let v(a) = 2*a. Determine y(v(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1912 in 0.5, -19, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37791232, -37791235, -37791238, -37791241, -37791244?\n\"Answer: -3*w - 37791229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 2. Let x be b(-1). Is x less than 2\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 11 = 5*k, 2733*k - 2736*k - 4*y = 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5390.999999028 + 5391. Round v to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426002 is divided by 209?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-15)*(-51)\/(-68).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwqwcwqcewcqc. Give prob of picking 1 w, 1 e, and 2 c.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 119. Let x = q - -54. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Suppose 4 = -4*x - 20. Let f(d) = d - 6. What is x*m(s) + f(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6391319041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1943 + -473\/3886. Let o = p - 3227\/174. Find the common denominator of 61\/2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:57 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31201210 (base 4) in base 3?\nAnswer: -2210222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 z, and 1 c when three letters picked without replacement from ttxczwt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 13 - h + 2*h**3 + 155*h**4 - 154*h**4 - 2*h**2 in the form o*h + l*h**3 + f*h**4 + j*h**2 + u and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrvrorsmrrvvs. Give prob of sequence rvmo.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 0*w**5 - 3*w**5 + (7764*w - 7764*w + 57*w**2)*(-w**3 + 7*w**3 + 22*w**3) + (2*w**3 + w**2 - w**2)*(w**2 - w**2 - 2*w**2).\nAnswer: 1591*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f - 3*f)*(-2 + 11*f + 4*f + 3).\nAnswer: -30*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1846 + -959. Is w 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 -81, -834, -2263, -4368?\n\"Answer: -338*a**2 + 261*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49751 by 1.\nAnswer: -49751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*16*3\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:53 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 3. Let p(d) = -5*d**2 + 6*d - 37. Let u(v) = 11*v**2 - 13*v + 80. Let z(q) = 13*p(q) + 6*u(q). Calculate -4*m(l) + 9*z(l).\nAnswer: 5*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (3 - (5 - 0)) + (-8 - -11)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 167521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b + 2*b**2 + 3*b**2 - b**3 - 9 - 9*b**2 + 2*b**2 to the form x*b**2 + z*b + l + w*b**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7*p = 2*p + 19, 0 = 2*p - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 66. Suppose -3*n = -4*v + 4, 5*v - b*v - 16 = -3*n. Solve v*h - 10 - 2 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109305746 + 0.4?\nAnswer: 109305746.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*((sqrt(95) - (sqrt(95) + (sqrt(95)*-2 - sqrt(95))*-6)) + -1*sqrt(95)*6))\/(-3*sqrt(80) - sqrt(45)\/sqrt(81)).\nAnswer: -1800*sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 497*p**3\/5 - 560618*p**2\/5 - 558857*p\/5 + 2258\/5 = 0.\nAnswer: -1, 2\/497, 1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + 0*y**4 + y**4 + 56*y + 12*y**4 - 56*y + (-2*y + 0*y + 3*y)*(-3 - y**3 + 3) - y**4 + 2*y**4 + y**4 - 3*y**4 + 4*y**4 - 3*y**4.\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6071 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 6*m + 10 + 20)*(7 + 43 - 2).\nAnswer: -288*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*o + 130*o - 23606 = -303*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7147003 to the power of 1\/2, to the nearest integer?\nAnswer: 2673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 3*p**2 - 6*p - 3. Let v be b(-2). Suppose 5*k - 65 = 3*w - v, 3*w + 51 = 4*k. Solve 0 = -4*c - 1 + k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let r = -0.1 - 0.2. Let k = 1.27 - 1.07. Sort r, l, k in decreasing order.\nAnswer: k, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.643512nm in centimeters?\nAnswer: 0.0000001643512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.637039ns to microseconds.\nAnswer: 0.007637039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 5*v + 2*v + 0*v - 4*v + 5*v + v - 4*v + 2*v + (0 - 5 + 4)*(2*v + 2*v - 3*v))*(0*v**4 - 2*v**4 - 3*v**4).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -32, -80, -178, -344, -596, -952, -1430?\n\"Answer: -3*f**3 + 2*f**2 - f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25754 - 25933. Is v at least as big as -3392\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 683 divide 93043041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-6))\/n**(1\/25))\/(n**(13\/4)*n*n**(-1)\/n) assuming n is positive.\nAnswer: n**(-729\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12*m**2 - 78*m - 710. Let b be w(-8). What is the highest common factor of 44 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098.044 plus -0.38?\nAnswer: 1097.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 720\/150*(240\/(-54))\/8\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*t - 245*t - 5338 = 20*t for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 238.4815 centimeters?\nAnswer: 2384815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1239476237 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*5*(-9)\/135.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3675 divide 245562408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from frryiqf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194.026 and 0.0066.\nAnswer: 1.2805716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8 = 3*h, -3*r - 2*h = -1 + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6508*m**2 - 81*m + 327. Is q(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 17*k - 870. What is o(51)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -9, -0.3, 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22799*m**3 + 19986?\nAnswer: 68397*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 3 (c) -360.7 (d) -0.041 (e) -0.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from hhhexxbh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974625 is divided by 59829.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4413 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/15 and -151\/648.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64361*n - 174127 wrt n.\nAnswer: -64361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 5:01 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699 = -389*q - 6425 + 511 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1686925 litres to millilitres.\nAnswer: 168.6925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1))\/j**(-1\/5)*(j*j**(1\/3))**(-3\/17) assuming j is positive.\nAnswer: j**(167\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2, 5, 7, 2 in increasing order.\nAnswer: -3, -2, 1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 893*g - 15.\nAnswer: 893*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**2 + 19*x - 4. Let u = -10014 + 10016. Let s(d) = -d + 9. Give u*p(m) - 5*s(m).\nAnswer: m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29034156*f**6 + f**2 + 34*f + 230676.\nAnswer: 3484098720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 28, 43, 58, 73, 88?\n\"Answer: 15*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llkwcknwknkwcklckc. What is prob of sequence ww?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 + 8*u + 20. Let j be v(6). Is (-1 - -2)*3089\/(j + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -86, -106, -332, -764, -1402, -2246?\n\"Answer: -103*q**2 + 289*q - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -98c201?\nAnswer: 98c1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = -93 + 148. Suppose -5*t = 3*g - 148, j*g - 30*t - 195 = -28*t. What is the remainder when 613 is divided by g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 + -231. Let b be (-18)\/(-4)*(z - 0). Solve 0 = -2*g - b - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**5 - 3669*a**4 + 158120*a**2 wrt a?\nAnswer: 300*a**2 - 88056*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 753 + 302. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 4*g)*(0 + 0 - 12)*(-3*g + 0*g + 0*g).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2329 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -3115?\nAnswer: 3114.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/63)\/(8\/(-12)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74691, 149521, 224353, 299187, 374023?\nAnswer: 448861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7031430 and 491084?\nAnswer: 154691460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(42)\/sqrt(7))*5)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*i + 36665 + 10522, 0 = -3*i + 12. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y. Let u(t) = -15283*t**2 + 1. Calculate u(z(k)).\nAnswer: -244528*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/(-18) - (8 + 19\/((-2736)\/1168))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 712300226 and 3939?\nAnswer: 712296287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 12*w**4 + 8*w**3.\nAnswer: 4*w**3*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 - 81. Let t = -111.933 + p. Let x = t + -0.467. What is the third biggest value in 4\/7, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x - 413 = -3*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**2 + 9*p**6 - 3*p**2 - 5*p**6 wrt p.\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/9)*a)**(2\/35))**(-27) assuming a is positive.\nAnswer: a**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.340581l to millilitres.\nAnswer: 1340.581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 7. Let g(f) = 231*f**2 - f - 1. Let p be g(-1). Calculate the highest common divisor of p and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-36))\/(-1))\/((-1210)\/856680).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 35 + (-3 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + y + 3*y)*(3 - 2 + 2) - 326 + 326 - 25*y as u*y + z and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211563.\nAnswer: 3, 11, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189 - 56. Let o be (t + -1)*6\/4. Suppose j = -4*j + 4*s + o, -2*j + 80 = -2*s. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 128664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(-1 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + 2*i - 16, 0 = -4*p - 5*i + 7. Let k = p - -23. What is the third derivative of -k*c**5 + 5*c**6 + 21*c**5 - 9*c**2 wrt c?\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111210 - -2?\nAnswer: -111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 0 - 13 - 2 + 9. Let o(s) be the second derivative of -2*s**3\/3 + 13*s**2\/2 - 220*s. Calculate 7*m(w) + 3*o(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -85*t + 0*t**2 + 86*t + 1 - 37*t**3 - t**2. Is 12 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/16)\/(-1)*-3)\/(42\/(-112))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4))**(-46)\/((y\/((y\/(y**(1\/2)*y))\/y))\/(y\/y**(-2))) assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -12 + -1 + 4 - (12 - 46)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmhmhihhihiihhm. What is prob of picking 4 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5066.78 + -5229. Let x = -165 - l. Let k = 0.22 - x. Which is the smallest value? (a) 1\/4 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 204*f*y - 1922*f + 2*y wrt y.\nAnswer: 204*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*k - 25, 5*l + k + 10 = 0. Let j = -0.03 - 0.75. Let g = j + -0.12. Which is the closest to g? (a) 0 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -16 - 36) + 22 + 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6771 - -1215.803\nAnswer: -5555.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 290, 544, 798, 1052?\n\"Answer: 254*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/10 + 7*k**2 - 96*k\/5 - 29952\/5 = 0.\nAnswer: -48, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -561070 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 411821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604d64 (base 15) to base 9.\nAnswer: 8538584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -30 (c) -25 (d) -4 (e) -9 (f) 62\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*h - 2 - 23*h**2 - 25*h**2 + 19*h**2 - 21*h**2.\nAnswer: -2*(5*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-12)*(2 + (0 - 6)). Suppose 3*u = -12, 2*t - 4 + 20 = -4*u. Let q = t - n. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49784 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -221318.\nAnswer: 9\/110659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i**2 + 3*i**2 + 4*i**2)*(-167*i + 167*i + 8*i**2) + 0*i - 2*i**4 + 0*i as k*i**3 + x + t*i + w*i**4 + h*i**2 and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y + 8. What are the prime factors of u(6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 1725 = 363 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/10 - 27*v**5\/4 + 2376*v. Factor o(r).\nAnswer: 3*r**3*(r - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -126 and -4.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13130*t - 2 + 34632*t - 20811*t + 58091*t.\nAnswer: 85042*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*l = 707, -4*a = -l - l - 1474. Let h = a - 1461\/4. Put -0.5, -2, h, 2 in ascending order.\nAnswer: -2, -0.5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228140?\nAnswer: 2, 5, 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpzzqpw. Give prob of sequence zzw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102.201*-0.8.\nAnswer: -81.7608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40340 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230891 is divided by 954.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*u - 33 + 35 = 0, -f = -2*u + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + 6*d + 5*d**2 - 2*d**2)*(-1 + d + 1) in the form o*d**3 + x + k*d + p*d**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 k, 1 m, and 1 g when four letters picked without replacement from {m: 2, k: 6, q: 4, p: 7, g: 1}?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = -o, 2*x - o - 5 = -0*x. Suppose -x*w + 63 + 117 = 0. Let h(n) = 8*n. What is the least common multiple of w and h(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 42640149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29.4 times 0.1\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2232499999?\nAnswer: 31, 72016129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 2\/21, 11, -1, -642, -5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k. Suppose k*u + 8 = 4*u. Suppose y + 5*i = -u + 115, y = -2*i + 101. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426428, -426493, -426558, -426623, -426688, -426753?\nAnswer: -426818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522702905 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44858 and 8668.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0*s**5 + 0*s + 0 + 0*s**3 + 5*s**2 + 1\/35*s**7 - 1\/6*s**4 + 0*s**6. What is the second derivative of y(k) wrt k?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/26 - -95\/234. Solve -b*p**5 + 2\/3*p**2 + 0 + 2\/9*p**3 - 2\/3*p**4 + 2\/9*p = 0 for p.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p + 8*p + 11*p - 876*p**2 + 3*p.\nAnswer: -876*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-10)*(x\/x**(-2))\/x assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 + 0 = 0. Let t be (8\/20)\/(u\/(-10)). Suppose t*w + 41 = 5*g - 142, -2*w - 146 = -4*g. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 355 - 131. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeeijejieceiiiiccce. Give prob of picking 1 c and 3 i.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2 - 3*b. Let k(t) = -4*t. What is l(k(q))?\nAnswer: -128*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-3354)*40\/35)\/(2\/(-3))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + d - 5*d**3 - 364*d**3 + 0 + 2*d**2 - 1 in the form r*d + z + c*d**2 + u*d**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/74)\/((20*(-14)\/1400)\/(1\/(-15))).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.8 - -10. Let f = -4 - t. Which is the third smallest value? (a) f (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 32\/(-12))\/((-10)\/(-12)). What is the second derivative of 86*r + 6*r**2 + 14*r**2 - 7*r**m + 7*r**2 wrt r?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -148*y**3 - 9*y**2 - 33*y + 23. What is the tens digit of z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1004 + -52?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230.6574941 + -230.66. Round d to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1511, -6040, -13583, -24140, -37711, -54296?\n\"Answer: -1507*z**2 - 8*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/8 (b) 0 (c) -1\/3 (d) 380 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498842 is divided by 1904?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:41 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 141839453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 813, 885, 1013, 1203, 1461, 1793?\nAnswer: 2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39038*p**4 - 7*p**2 - 7633*p wrt p?\nAnswer: 936912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 5. Let t be m(6). Let n = t + 1. What are the prime factors of 1 + (n - 1) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732780 divided by -60?\nAnswer: -12213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - 286?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8949, 8955, 8963, 8973, 8985, 8999, 9015?\n\"Answer: i**2 + 3*i + 8945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 11) + 21 - 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30e9 (base 15) to base 10\nAnswer: 10344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 2, n: 1, h: 1, r: 4, a: 1}. What is prob of sequence at?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3*w**2 - 3*w - 1. Let m be a(2). Calculate the common denominator of 30*(-6)\/16 - m and -97\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442479460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43124553, -86249110, -129373669, -172498230, -215622793, -258747358?\nAnswer: -301871925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**4 + 6*n**2 + 2*n - 18. Let r(c) = -3*c**4 - 11*c**2 - 5*c + 37. Let p be (-4)\/8 + 1 + 3\/2. Let i(x) = p*r(x) + 5*b(x). Factor i(u).\nAnswer: -(u - 2)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3214 + 25759\/8. Calculate the common denominator of n and 0 - 0 - (-162)\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18)*11070\/(-205)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -22*w**2 - 3*w + 3. Let i(a) = 133*a**2 + 19*a - 19. Calculate -19*g(d) - 3*i(d).\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/5 - 212*d**2\/5 - 11021*d\/5 + 22898\/5 = 0. Calculate d.\nAnswer: -107, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 + -122. Determine h so that 2\/7*h**3 + 4\/7*h - 6\/7*h**2 + a = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 3*v - 3 - 7, 300 = 4*w - 78*v + 26 - 120 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -563919 smaller than -563917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 - 1058\/9. Let x = 157 + -80. Let w = x - 73. What is the closest to 0.2 in 3, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -20*g**5 + 2015*g**4 + 495745*g**3 + 17721250*g**2 - 32792320*g - 9297920 = 0?\nAnswer: -64, -1\/4, 2, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + -1)\/((-3)\/54). Suppose 3*t - o = 525. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + 3*g**2 + g - 1. Let i be l(-1). What is the second derivative of -11*b + 9*b + 5*b**i - 10*b wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111111010 (base 2) in base 15?\nAnswer: -47d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 385.511 and 0.\nAnswer: 385.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46019*c**6 + c**3 - 6119*c**2 - 9*c wrt c.\nAnswer: -5522280*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384514, 769026, 1153538, 1538050, 1922562?\nAnswer: 2307074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g + 0*g = -128 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182 - 26. Suppose 24 = 6*j - r. Let h = -12 + j. Calculate the remainder when 52 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1024, -1021, -1018, -1015, -1012?\n\"Answer: 3*p - 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 774557538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d - 10 = 0. Suppose 9 = d*h - 3*h. What is the tens digit of (-182)\/h + 4\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -737 (base 12) to base 13\nAnswer: -62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 33. Let g be m(19). Suppose -y = -4*w + 3*w + 1, 4*y = 3*w - 6. What is the smallest value in w, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 110, 197, 306, 431, 566, 705, 842?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/((-3)\/(-201)*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/5 - 6708*r\/5 + 155200.\nAnswer: 4*(r - 1552)*(r - 125)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2775 + 2777. Suppose -7 = -4*a + 5*t - 2, 4 = 2*a - 4*t. Solve a = -5*y + b*s - 29, -2*s = 1 - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -368012?\nAnswer: 368012.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000399 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*w - 29, -2*w - 14 = -2*v - 4*w. Let a be ((-660)\/77)\/(v\/(-35)). Suppose 4*k + g = a, -3*k - 2*g + 115 = -0*k. Which is smaller: k or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 12*f + 5. Let i(p) = -35*p - 38. Let r be i(-6). Suppose r + 8 = -6*w. Let v = 41 + w. Give z(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(6*s**5 + 1 - 1 - 2*s**2).\nAnswer: -12*s**5 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.851095462 rounded to 4 decimal places?\nAnswer: 0.8511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(104)*1*2*-6)\/((sqrt(648) - (sqrt(648) - 2*sqrt(648)) - sqrt(648)) + sqrt(648) - ((sqrt(8) - 3*sqrt(8)) + sqrt(8) - sqrt(8))*-3).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 8*w**2 - 10*w + 7. Let g = 34 + -45. Let u(p) = 2*p**3 + 15*p**2 - 19*p + 13. Let n(t) = g*y(t) + 6*u(t). What is n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73647451 and 9?\nAnswer: 662827059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 19824741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 11 + 2 + 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + 7 + -13 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28543 and -314.\nAnswer: 28229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2030 by -14.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-14 - -7) + (7 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -226 + 1134\/5. Let k be ((-2)\/(-3))\/((-2)\/3). What is the nearest to k in r, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (10 - 61) - 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -b - 3*h + h, -84 = -4*b - 5*h. Suppose -5*k + 4*k = -2, w - 5*k = -2. Let x be 4*(0 - 1) + w. Solve 2*y - 6 = g + 3*y, x*g + y = -b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 4309?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172840, -172830, -172820, -172810, -172800?\nAnswer: -172790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five eighths of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqlqlllqqqlqllllq. What is prob of sequence lql?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, 328, -0.0787 in descending order.\nAnswer: 328, 0.31, -0.0787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(1\/6)*q*q*q\/q**(-12) assuming q is positive.\nAnswer: q**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 12) + 6 - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1) + 2 + 0. Is 1*(1 - (-54)\/g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, m: 1, x: 5}. Give prob of sequence xxx.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -170*f + 1305. What is the tens digit of r(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 108074283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -q + 559. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-5))\/((-410)\/1025).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, -105720561 in descending order.\nAnswer: 4, 0.4, -105720561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 0, -2364 = -l - 4*f + 3*f. Suppose 0 = -5*x - 269 + l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2 - sqrt(66)) + sqrt(66))\/sqrt(6) - (sqrt(11) + sqrt(99)\/sqrt(144) + sqrt(11)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*(-4)\/12)\/(-2). Which is the nearest to x? (a) 3 (b) -3.98 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4 and 12\/2317?\nAnswer: 9268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1100415101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1000?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2\/9 (c) 4 (d) -1970 (e) 2\/11 (f) 0.035\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + -1.8. Let w = 991\/658 + -2\/329. Which is the biggest value? (a) -4 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2035*h = 2736*h - 3061 - 6052 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 149. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10803 is divided by 148?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 72, -5\/4, 39\/2, 27\/26, 0.3?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -12, -23, -38, -57, -80, -107?\n\"Answer: -2*r**2 - r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (2\/(-3))\/((-36)\/(-594)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -378864*i**4 + 4*i - 9762402 with respect to i.\nAnswer: -1515456*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1*2 - (-11 + 7). Suppose -4*j - 28 = -2*a, p*a - 4*j = -0*a + 40. Solve 2*u = -5*z + 22, -3*u = -3*z + 3 + a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**4 + 4*q**3 + 825*q**2 wrt q.\nAnswer: 72*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-192)\/(-84)) + (-31)\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 + 208. Suppose -10 = -2*g - d*m + 5*m, 0 = -2*g + 5*m + 10. Solve -x + 4*x - 25 = g*n, 4 = -2*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 6644?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 i when three letters picked without replacement from ixxxxgpgxxxg?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 73 = 2*x - 3*u, 0 = 4*x + 4*u - 116. Suppose -4*r + 42 = -x. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-147)*(-270)\/30)\/(15\/(-280)*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 - 8*o - 1. Suppose -42 = -66*q + 73*q. Give f(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192940 divided by -2\nAnswer: -96470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -645, -1, -4, -1554 in increasing order.\nAnswer: -1554, -645, -4, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 = 4. Let u(g) = -5*g - 1. Determine u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.3 - -11. Suppose 4*f + 8 = -3*l, 0 = -5*f - l - 11 - 10. What is the smallest value in 2, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 4.8. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149*j**2*w**2 + 9*j**2 - 10*j*w**4 + 22*j*w - 2*j - 4145 wrt w.\nAnswer: -298*j**2*w - 40*j*w**3 + 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 17*y**2 - 18*y + 3. Let k be m(-18). Suppose -k*p + 11 = 2. Solve p*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 17*s**2 - 13*s - 7. Let f be i(15). What is the highest common factor of f and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 1806672?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -452 - -457. Let h be (2\/8)\/(r - (-152)\/(-32)). Let z(c) = c**3 - 3*c**2 + 3*c - 3. Let k(i) = i**3 + i**2 - i + 1. Calculate h*z(a) + 3*k(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b3 + 1?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 + 0 + -2 - 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 616137*f**5\/25 + 323733*f**4\/5 + 8496*f**3 + 2136*f**2\/5 + 48*f\/5 + 1314. Factor o(r).\nAnswer: 3*(r + 2)*(59*r + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*a = 1244 + 403 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 + 4*g**2 - 6*g**2 + (-103 - 9*g + 103)*(-5*g + 9*g + 3*g) + 3*g + 17 - 16 - 2*g**2 - 4.\nAnswer: -63*g**2 + 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28282499 is divided by 270?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let i(a) = a**2 + 10*a. Let j(q) = i(q) + 2*k(q). Let t be j(-9). Let u = t - 10. Let z(r) = 3*r**3 + 1. Give z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 1, 43, 4 in descending order.\nAnswer: 43, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 6 = -3*b - 4*k, -b + 2*k + 11 = 0. Calculate the remainder when 91 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5328 and -2.8229.\nAnswer: 15040.4112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 434837 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 + 7*g - 2. Let r be d(-7). List the prime factors of r + 0 + 16\/1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, -22, -2, 3 in decreasing order.\nAnswer: 3, -1, -2, -18, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.894016 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 take away -342.947?\nAnswer: 449.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**5\/10 + f**4\/3 + f**3 + 9*f**2\/2 + 3*f + 10. Let g be m(-2). Put -41, g, -0.4 in decreasing order.\nAnswer: -0.4, g, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 79*m. Suppose 108*a - 112*a + 272 = 0. Let h(t) = -60 + 191 - 63 + 2*t - a. What is h(w(o))?\nAnswer: 158*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9437280, -9437278, -9437276, -9437274, -9437272?\n\"Answer: 2*t - 9437282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2347, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -723*c**3 - 6*c**2 - 24*c - 3. Let i(y) = -1444*y**3 - 13*y**2 - 52*y - 7. Determine -6*i(w) + 13*j(w).\nAnswer: -735*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.508516 centuries in years?\nAnswer: 350.8516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61867187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 4)*(-4745*v**2 + 1006*v**2 - 2361*v**2 + 853*v**2 - 1984*v**2) to t + g*v**2 + y*v and give g.\nAnswer: 28924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 - -157. Let k = -2.9 - -3. Sort 4, b, k in ascending order.\nAnswer: k, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(30) - sqrt(120)\/sqrt(4)) + sqrt(30))\/sqrt(10) + 4)**2.\nAnswer: 8*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*1*2218 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -714*h - 60682. Give a(-85).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z**2 + 3*z + 3. Let s(l) = 5*l**2 - l - 1. Let i(o) = -17*s(o) - 6*w(o). Let j be i(-1). Solve x - 16 = 4*g + 2*x, -j*x - 12 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5625\/(-20))\/(-5) + 3\/4. Let r = 85 - o. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f = 5*f + 4655. Is -133 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}