diff --git "a/data/dm_maths/full_data/10819_11255.jsonl" "b/data/dm_maths/full_data/10819_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10819_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express -835 + 1570 - 8941*d - 735 as b*d + j and give b.\nAnswer: -8941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3772\/(-205))\/(-46)*((-5)\/(-2) + -1). Sort -17, k, 76, 2\/9.\nAnswer: -17, 2\/9, k, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (10 - 0) - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, -5, -231, -675, -1409, -2505, -4035, -6071?\nAnswer: -8685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 5*c**2 - 5*c + 5. Let i be 5 + -5 + (-246)\/(-3). Suppose -f = f - i. Let x = -37 + f. What is u(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294 and 196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5229.3697106 and -1.3?\nAnswer: 5228.0697106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*171\/6 - 3. Is 110 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/77)\/((260\/490)\/(-13)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44\/5 of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -143117972, -286235950, -429353928, -572471906, -715589884?\n\"Answer: -143117978*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41711243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = -u - c, -2*u = 3*c - 5. Suppose -5*t + u*t - 15 = 0. Suppose t*d + 0*z - 3*z - 8184 = 0, 5*d - 4*z = 13641. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*w - 173303*g**2*n*w**2 + 4*g**2*n + 11*g*n*w**2 - g*n - 119*g*w**2 - 8*g*w + 13*w wrt g?\nAnswer: -12*g*w - 346606*n*w**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -3)\/((-8)\/18). Let n(i) = 5*i**2 + 11*i - 7. Let x(b) = -4*b**2 - 11*b + 8. Let l(t) = -5*n(t) - 6*x(t). Does 3 divide l(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 1, b: 2}. What is prob of sequence fssb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, z: 10, c: 1}. What is prob of sequence zr?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.93 - -3.9299692. Round f to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from nnmdnunndnnnmdmmdmdn.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ppdpfpdtppptp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115123 is divided by 1140?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 1 - (15 + -4 + -21). Solve -5*l + 4*o - 8*o = 3, -4*o = 4*l + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 972709734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 16. Let l(n) = n**2 + 6*n - 1. Let s be l(-3). Let d = j - s. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41890000 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-18) - 364\/(-12). Suppose w = -5*d + 115. Which is smaller: d or 18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 12)\/(9\/1752). Let g = 6297 + k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2)*(-2*c + 0*c + c) - 170*c + 50*c - 80*c in the form d*c + o and give d.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(448) + (sqrt(448) - (sqrt(448) + -1 + sqrt(448))) + 3 + sqrt(448) + (sqrt(448) - -2*sqrt(448)*4))*-6)**2.\nAnswer: 23040*sqrt(7) + 1613376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3307 - -5479. Does 57 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 27. Let l(y) = -y**3 + 5*y + 1. Let t be l(-3). Let q be a(t). Solve 4*h - q = -21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {w: 6, f: 13}.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -11. Let f be (6\/(-4))\/(r\/(-32)). Suppose -5 = h - f. Solve 0 = 5*b - 2*b - h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by 7070.\nAnswer: 87\/3535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6*(1 + -2)*(1 + -17).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -2609, -6424, -11765?\nAnswer: -18632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l + 85 = -2*s, -4*l + 3*s + 25 - 103 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*w = -25, -3*o + 3*w + 17 = -2*w. Let d be (2\/3)\/(o\/12). Differentiate -v**2 - 5 + d*v**2 + 4*v**2 wrt v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**2*j**4 + f**2*j + 6*f**2 - 183*f*j**4 + 3*f*j**2 + 2*f*j wrt j.\nAnswer: -120*f**2*j - 4392*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 195245678 and -2.\nAnswer: 195245676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16797 - -16806. What is the smallest common multiple of 529 and f?\nAnswer: 4761","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -4 + ((1 + sqrt(242) - sqrt(242)) + 5)*4)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c1a + 7c?\nAnswer: -b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0*a**2 + 3*a**2)*(-2*a + a - a - 1)*(-7*a - a**2 + 7*a).\nAnswer: 4*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94225, 188463, 282711, 376969, 471237, 565515?\nAnswer: 659803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384127 and 47845?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 + 4*g - 4. Let p(d) = 6*d**3 + 40*d**2 - 27*d + 27. Let k(i) = 13*n(i) + 2*p(i). Give k(-10).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26 and 28460620207?\nAnswer: 28460620181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.03 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, k: 2, a: 3}. What is prob of sequence naa?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*f, -16*d + 7 = -21*d + 2*f - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 16 = -25*t. Suppose -i = -2*l + 202, t*i = 5*l - 3*l - 206. Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070097601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62010 at least as big as 5270931\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-21 + 45 + 5)*(3*c + 6*c - 2*c)*(4*c - 3*c + c).\nAnswer: 812*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3942\/6)\/3 - -1. Let j = r - 203. What is the remainder when 151 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(9*1\/2). Let d(g) = -g**2 + 4*g - 3. Let h be d(4). Which is the nearest to 0? (a) v (b) h (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w + 27. Let s be (-48)\/w - (-6)\/27. Is 2 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 50, 100, 174, 278, 418?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7 + 2.9. Let q = -17\/73 - 134\/365. Which is the smallest value? (a) -25 (b) j (c) q (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -148.34, -0.2, 2, -2?\nAnswer: -148.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*w + 7 = 14, z + 5*w = 7. Let q = z - 5. Let f(a) = -a**3 - 35*a**2 + 112*a - 76. Let v be f(-38). Put -1, q, v in ascending order.\nAnswer: -1, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + -7?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 2, 8 in descending order.\nAnswer: 81, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26007846 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*j - 80, 4*n + 5*j - 73 = 2*j. Let d = n + -19. Determine z, given that -8\/9*z + d - 10\/9*z**3 - 14\/9*z**4 + 32\/9*z**2 = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3) + 1 + 0. Let l(j) = j**2 + j - 1. Let c be l(t). Let w(g) = 10*g**2 + 1. Is w(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2437 + -19489\/8. Suppose 3 + 2 = d - c, d = 5*c - 3. Suppose 3*f - d = -1. Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -380, -896, -1620, -2552?\nAnswer: -3692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (161 - (164 - 80))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80, 149, 208, 251, 272, 265, 224, 143?\n\"Answer: -s**3 + s**2 + 73*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 15 + 36 - 49 + 11198*r in the form h + y*r and give y.\nAnswer: 11198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((41\/(113652\/66))\/((-3)\/7))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsdgqsqsqdsfqfqffssq. What is prob of sequence fg?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*f + 581*f = 3696 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {a: 1, g: 1, f: 2, n: 1, o: 1, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 53272*j - 110356416 = 0.\nAnswer: 2264, 24372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:56 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 4, a: 3, o: 6, g: 2}. What is prob of picking 1 a and 1 g?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 263 (c) -11.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 113. Calculate the greatest common factor of q and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281892?\nAnswer: 2, 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:54 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6854 divided by -2211?\nAnswer: 6854\/2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1549 divide 53440363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 75. Suppose -4*b + c = -4*x + 7*x, -4*x + 4*b + 20 = 0. What is the smallest common multiple of 6 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/((-1092)\/(-483))*(-10)\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -8*v + 5*v. Suppose 8*f - 3*f - v = 0. Suppose 4*t = 2*t + f. Calculate the smallest common multiple of 8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/1*14\/6. Suppose 0 = 2*f - n - 79, f + 1 - 27 = -4*n. Let x = m - f. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -1001 + 399. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5337 is divided by 379?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 1969112679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37.90754 years?\nAnswer: 3.790754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3.119 and -3\/29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*m**3 + 804*m**3 - 1719*m**3 - m.\nAnswer: -186*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 54\/121?\nAnswer: 54\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 12 = -5*v, -26*v = -31*v + 5*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -290807 - -90\nAnswer: -290717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6 - 2\/(-6). Suppose 5*k - 55 = 5*w, w = -k - g*w - 14. Suppose 54 = r + 2*m, 2*r - k*r = -m - 180. What is the remainder when r is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93 + 0 + (24 - (0 - 0) - 2 - 28)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 3*f + 78. Suppose 64 = 315*z - 283*z. Calculate the least common multiple of z and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyyvvvy. What is prob of sequence yyvv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 + 9*h**2 + 4*h. Let o = -31 + 28. Let x be z(o). Which is smaller: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -32*z**3 + 7*z**2 + 41*z + 69. Let h be m(-3). Solve 61*k + 36*k = h for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 2717260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = f - 0*t - 25, 2*f - 5 = 3*t. Let i(a) = -2*a**2 + 22*a - 19. Let m be i(f). Put -3, m, 20 in decreasing order.\nAnswer: 20, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 27 + (1 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (7 + -18 - -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 488337781 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 1. Let c(o) = 4*o + 2. Let g = -15 + 26. What is g*j(r) - 6*c(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and 0.012.\nAnswer: -0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Suppose -2*u = 37 - 31. Suppose -3*g - 2*g = -30. Let j(h) = 7*h - 3*h - g*h + 2. Give u*w(z) - j(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b + 4. Let f be x(-7). Suppose -v + f = 2*v. Suppose -5*w + 37 = -113. Calculate the greatest common divisor of w and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20277176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286 - 15*r**2 - 2*r**3 + 13*r**2 + 330 - 555 to the form w*r**3 + c*r**2 + u*r + i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(((l\/(l**(-8\/7)\/l))\/l)\/l)*l))\/((l\/(l\/(l**(1\/4)\/l)*l)*l)\/l)*l\/(l\/l**(-1\/2)*l)*l**(-8)*l assuming l is positive.\nAnswer: l**(-185\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2259 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 0*v + 0*v + 24 - 24*v. Let a(i) = -5*i + 3. Let k(b) = 10*b - 5. Let g(f) = -5*a(f) - 2*k(f). What is -14*g(t) - 3*y(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z = -53*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*h + 14 = 290*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2672443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.3 (b) 13 (c) 7\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**26\/x))))**(3\/16)*x**(-1\/2)*x**(2\/13) assuming x is positive.\nAnswer: x**(-63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438 - 0.1.\nAnswer: -438.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (12 + -1 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 8721 + 22433. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122c9b (base 13) to base 8.\nAnswer: -1521425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7*c**2)\/(c**(-5)\/(c*c\/(c*(c\/(c\/((c*(c**(-4)*c)\/c)\/c))*c)\/c))))\/((c**(-1\/4))**(1\/44)*(c*c\/(c*c\/c**1))**(-19)) assuming c is positive.\nAnswer: c**(6689\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**5 - 54*x**4 - 1410*x**3 - 3600*x**2 + 33375*x + 123750 = 0.\nAnswer: -10, -5, 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 3*n**4 - 2*n**2 - 4 + 1465*n - n**4 - 5*n**4 - 1467*n to the form b*n**2 + l + m*n + t*n**3 + h*n**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 245*z + 2560. Calculate m(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169897512?\nAnswer: 2, 3, 367, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g = -2*a - 295, 3*g = 4*a + 525. Calculate the common denominator of (2\/4)\/(4\/35) and 574\/24 - a\/108.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {b: 3, n: 5, d: 1, s: 3, q: 4, h: 1}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from undu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/4 + (189\/(-84))\/((-1)\/19). Solve o*r - 22*r = 40 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 65, 18 in decreasing order.\nAnswer: 65, 18, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -38. Let m(p) = 979*p**2 + 3*p**f - 2*p - 972*p**2 - 13*p + 5. Let j(z) = -z**3 + z**2 + z + 1. Let c(d) = 4*j(d) + m(d). Calculate c(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 5021?\nAnswer: -501e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 47. Suppose x - 72 = -5*x. Let z be (-3)\/(-9) - 256\/x. Let f be a(z). Solve -f*u + 0*u = 0, -5*u = 2*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 55. Sort 0.3, 6\/7, j in descending order.\nAnswer: j, 6\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**3 + 2*n**2 - 2*n - 2. Suppose 3*c + 5*o + 29 = 0, -6*c + c - 23 = 2*o. Let j(s) = s**3 - s**2 + s + 1. Calculate c*l(f) - 6*j(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**5\/20 + r**4\/12 - r**3\/6 + 7*r**2 - r. Let z be 0\/((4 - 4)\/2 - -1). What are the prime factors of n(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1553636, -3107269, -4660900, -6214529, -7768156, -9321781?\n\"Answer: k**2 - 1553636*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3392\/(-16)*(67\/((-6834)\/68))\/(4\/3).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11*12877\nAnswer: 141647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -d - 18, 30 = -3*d - s - 13. Is (-6)\/21 - 20402\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12704010 + -6?\nAnswer: -12704016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 134655421 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 7, x: 9}. What is prob of sequence wxw?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 3, 5, 181, -2 in decreasing order.\nAnswer: 181, 47, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4 - 5. Let q(t) = t. Let d(j) = j. Let u(a) = 5*d(a) - 4*q(a). Calculate u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57826*v**5 - 46548*v + 1 wrt v.\nAnswer: -1156520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 5750, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 86. Let u(s) = 3*s + 196. Let i be u(q). What is the greatest common divisor of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -14*b - 10. What is the tens digit of q(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 143072 = 14*i. Suppose -2*u + i = 3*n, 0*u = -u + 5*n + 4484. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m**2 - 199*m - 55. Let l be g(-15). Solve -l*u + 25*u = 80 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -795922 or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 136*q + 1 - 304*q.\nAnswer: -440*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/6, -1\/4, -2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.838? (a) 5\/2 (b) -18 (c) 1 (d) 0 (e) 6\/7 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -7068.619\nAnswer: 35343.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/16 of a day?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*q - 138*q + 260*q + 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 12*n + 16. Let h be y(12). Solve 0 = 4*q - h, r = -3*q + 4 + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*i**3 - 49*i + 245*i**3 - 139*i**3 to the form r*i + x*i**3 + u + m*i**2 and give r.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n**2 - 5*n + 2. Suppose 4*r = 3 + 9. Suppose 4*l + r = 5*g + 8, -5*g = l - 20. Determine u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 979*z**3 - 3*z + 3. Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/15)\/(1\/(-5)). Suppose s - 3 - z = -5*j, s - j = 0. Let f = -34 - -50. Solve 3*h + s = f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/120 - m**5\/30 - m**4\/4 + 7*m**3\/3 + 19*m**2. Let v be q(4). Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 829771.7019 minus -1.4?\nAnswer: 829773.1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7894*k + 79029. Give a(10).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1338746, -1338713, -1338680, -1338647, -1338614?\n\"Answer: 33*x - 1338779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47152 - 15715 + 0*i + 0*i - 67*i**2 - 15718 - 15720.\nAnswer: -67*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11200*g - 265 = -10935*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {a: 1, m: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*u = -23, 0*u = 3*x - 4*u + 11. Suppose 2*c + 43 = 6*c + x*w, 8 = 4*c - 4*w. Solve 0 = 2*l + d + c, -2*l - 3*d + 8 = -5*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134535?\nAnswer: 3, 5, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -346b - -1a1?\nAnswer: -328a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose -4*o + 5 = d*l + 29, -5*l = -5*o. List the prime factors of (-50)\/o - 1\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*t + 65*t - 3 = 0. Solve v + 6 = t*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*2 - -4. Let n be ((-2)\/(-1))\/(30\/45). Sort c, -5, n in increasing order.\nAnswer: -5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106521?\nAnswer: 3, 35507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**2 - 3*j + 7. Let g(b) = 3*b**2 + 2*b - 3. Calculate 5*g(i) + 2*n(i).\nAnswer: 3*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - (-13)\/2) + (-18882)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1409.9994793 + -1410. What is t rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {h: 2, b: 2, f: 1, w: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -0.1 (c) 439 (d) -5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Let k = v - -8. Let b = -4 + 7. Solve b*c - k = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76761.892 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3\/2, 0.5, 28, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -2*6\/12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 11*v**2 - 9*v - 10. Let a(d) = -d**3 - 12*d**2 + 9*d + 11. Let i(b) = 5*a(b) + 6*j(b). Let k be i(-8). Which is smaller: -60 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 3 (b) -5 (c) -0.9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.443869 rounded to 2 dps?\nAnswer: 582.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 76178.5km?\nAnswer: 76178500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -821 - -1401. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 0. Let u = -179 + 177. Sort 1, u, d in increasing order.\nAnswer: d, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 1121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 - -2.1. Let c = -30 - -31. What is the closest to 0.1 in -12, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*b**3 + 42*b + 4*b + 35*b - b**2 wrt b?\nAnswer: 84*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -2*o - 52. Let d = o - -104. Suppose 3*y - 112 = d. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157289.\nAnswer: 11, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 2*h + 3. Let t be j(-7). Let b = t + 43. What is the remainder when 41 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3, -0.025051?\nAnswer: -0.025051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 26*p + 2 - 3*p**3 + 5*p**3 - 29*p - p**2. Determine v(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22919324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2904528 divided by -88016\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 240652145\nAnswer: 24065214.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 6)*(-4*m**2 + 2*m**2 + 0*m**2) - 6*m**2 + 0*m**2 + 4*m**2 + 4*m**2 - 33*m**2 + 12*m**2 + 4 + 2*m**2 - 4)*(0*m**2 + 2*m**2 - m**2).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -3 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11\/c**11)\/((c\/c**(-2\/49))\/(c*c**(3\/5)\/c)) assuming c is positive.\nAnswer: c**(-108\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(117)\/(sqrt(45)\/sqrt(5)) - (sqrt(39)\/sqrt(3) + 4))**2 + (((3 + sqrt(1300) - sqrt(1300))*-3 + sqrt(1300))*-3)**2.\nAnswer: -1620*sqrt(13) + 12333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18745 and 0.06055.\nAnswer: -1135.00975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*u - 2*u. Let b be 4\/3*(1 - 4). Let y be (1 + b)*(-4)\/u. Is -2 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, -5*l - 233 + 248 = -4*d. Let w(i) be the first derivative of -l*i**3 + 0*i**2 + 0*i - 15\/2*i**4 - 15. Find the third derivative of w(f) wrt f.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*y + 5*o - 40, -23 - 17 = -4*y - o for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 4*p**2 + p + 4. What is the remainder when d(-5) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*s + 309*s = k - 21, -k + 3*s = 14. Which is the closest to 1? (a) 0.1 (b) k (c) 3\/20 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 10 = -4*o + 5*v, -2*o = 4*v + 6. Suppose -5*a - o = 0, 2022 = -7*b + 2*b + 3*a. Calculate the common denominator of 2\/((-5)\/(b\/8)) + -2 and 49\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-24)\/(-108))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**2. Suppose 2*d + 9 + 41 = 0. Let o = 25 + d. Let c(b) = -5*b + 0*b + 2*b + o*b. What is t(c(l))?\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 427047*x - 427046*x + 383*x**4 + 14*x**3 - 2*x**3 + 2*x**2 to the form w + a*x**2 + v*x + l*x**3 + c*x**4 and give c.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*b = -207*b - 4833 - 865 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65 + 82?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41216 (base 7) in base 11?\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 26 = -2*l - 0*l, 4*h + 14 = -2*l. Let r = 5 - l. Does 9 divide r\/(-5)*(-4 + -41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19584 + 30*m**4 + 10*m**2 + 0*m**4 + 19596 to j*m + h*m**2 + p*m**3 + u*m**4 + b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -17, -0.5, -0.4, 0.0485, -3.7?\nAnswer: 0.0485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 25, 1\/1072, 5, -5, 0.3 in decreasing order.\nAnswer: 25, 5, 0.3, 1\/1072, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5915790299?\nAnswer: 5915790299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 6*o - 198. Let x be f(-12). Solve -3*b - 6 = -x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -15. Suppose -h + 29 = j. Suppose h = 6*b + 1. Solve 0*k + 2 = -5*k - 2*u, -12 = -b*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -725 + 647051208636\nAnswer: 647051207911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 30*u**3 + 7*u**2 - 6*u + 20. Let z(b) = -2*b**3 - b**2 + b. Calculate -d(r) - 6*z(r).\nAnswer: -18*r**3 - r**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*d**3 - 175*d**3 - 290*d**2 - 212*d**3 - 119*d**3 wrt d.\nAnswer: -2748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3368.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2115307 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 12, -4, -108, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12379a - 2?\nAnswer: -1237a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 6 (b) -768\/11 (c) -5 (d) 5 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/197 + -579\/394. Let u = -415\/4 - -103. Let q = -0.04 - -4.04. Which is the biggest value? (a) u (b) 3 (c) j (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 8:41 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 6:17 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6566676 and 15869467.\nAnswer: 190433604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 190, 651, 1536, 2983, 5130, 8115, 12076?\n\"Answer: 23*c**3 + 5*c**2 - c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13042.9993869 + -13043. Round h to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(1\/3)*r))**(9\/7))**(3\/19)\/(r**(-6)*r*r\/r**(2\/11)*((r\/r**(-1\/3)*r)\/r)**23) assuming r is positive.\nAnswer: r**(-117727\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 3*f - 6*f**3 + (-274 - 31 - 17)*(4*f**3 - 2*f**3 - f**3).\nAnswer: -328*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.127219 and -3.\nAnswer: -7.127219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.047867 seconds?\nAnswer: 7047.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65727)\/545 + 122 + (-287)\/5.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p - 6. Let u = -11 - -17. Let l(k) = 2*k + 1. Let r(s) = u*l(s) + 2*q(s). Let j(d) = -d**2 - 5*d + 4. Let x be j(-5). What is r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4258195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, 1 o, and 1 x when four letters picked without replacement from oxlooxxoolot.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*j - 54, -2*j + 2*t - 30 = -2*t. Let m(i) = -i**3 + 5*i**2 - i - 4. Let l be m(3). Let w = l + j. Solve 6 + w = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124384387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32167 and 13.\nAnswer: 418171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -273*r**4 - 113 wrt r.\nAnswer: -1092*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 10 - 6*u**2 - 4*u**2 + 0*u**2.\nAnswer: -10*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/9)\/((34\/(-9))\/17)*(-72)\/(-40)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5239 + 5239. Let t(i) be the first derivative of 0*i**2 + 11\/4*i**4 + x*i - 22 - 10\/3*i**3. Find the third derivative of t(p) wrt p.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**3\/3 - 20036. Let j(l) be the third derivative of l**4\/12 - 2*l**2. Calculate j(m(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2*s - 3*s + 10.\nAnswer: -s + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l + 16. Let u be o(14). Let t = -83 + u. Solve -3 = a - 1, y = t*a + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3) + 136\/(-12) + 6. Let s be ((-6)\/b)\/((-2)\/8). Let g(n) = n**2 + 6*n - 1. Give g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2040 - 1018 + 4*q - 1022. Let i(t) = -2*t - 8. Let p(w) = 1. Let h(s) = -i(s) - 8*p(s). Calculate h(u(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/(4\/6). Let m = 12.1 + -0.1. Let j = m + -14. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 + 8*w + 6 - 5*w + 14 - 4 - 2*w**2 to the form o + s*w**2 + m*w and give o.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 10 + 5)*(-2*i**3 + 5*i**3 + 1 + 1).\nAnswer: -6*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -28725282.8 to the nearest one thousand.\nAnswer: -28725000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3*d + 2*d - 4, 0 = -i + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1514, -4, 5, -2 in increasing order.\nAnswer: -5, -4, -2, 5, 1514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2) - 11\/(-66).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/67234 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylg when three letters picked without replacement from llgglyllglgglllgll?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*l. Suppose 2*h - l = 4. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7 - (2 + (-10 - -7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70513?\nAnswer: 107, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - 0.1. Let q = s + 0.8. Suppose -5*x - 35 = -0*x. Which is the second biggest value? (a) q (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3912020.\nAnswer: 2, 5, 7, 27943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1001628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a + 58*a = -15. What are the prime factors of 32 + (1 - 3 - a)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -17350*x + 191266. What is d(11)?\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14344693 is divided by 538?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-6)\/28*(-3 + -1)\/((-18)\/12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 21?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f + 26*f + 280 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/23 (b) 2 (c) 50 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 1 = 4*t + 2, -61 + 43 = -5*m - 3*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 5:45 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*(-1 - 1))\/4. Suppose 18 = 5*m - 2*p, -p = 2*m - 7 - 2. Suppose 0 = 5*w - z + m, 3*z + 4 = -3*w + 2*w. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3244, 27389, 92922, 220537, 430928?\n\"Answer: 3449*x**3 + 2*x - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:38 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((143\/572)\/(3\/40))\/((-10)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1469*t**2 - 4*t + 4. Let y(b) = -248261*b**2 + 678*b - 678. Determine 339*i(m) + 2*y(m).\nAnswer: 1469*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66534984 equal to 66534981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9000, -7899, -6050, -3453?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.7 + -2.3. Let x = -10.5 - q. Let d(v) = 4*v - 9. Let o be d(2). Which is the closest to 0.2? (a) o (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 88805640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 64. Let k(b) = 2*b**2 + 4*b - 3. Calculate k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brf when three letters picked without replacement from kbrfrk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = 3*s - 5*s. Let g(t) = -s*t**2 + 90*t**2 + 4*t + 2*t**3 - 3*t**3 - 6. Determine g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (163\/(-3) + 0)\/(3 + -2). Let q = -55 - w. Is -18 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 + 3152. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20746, -41490, -62234?\nAnswer: -82978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -898 in -0.05, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 585226, 4, 0, -2 in descending order.\nAnswer: 585226, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 23. Which is the nearest to -1? (a) z (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (-3 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 + 102.1. What is the closest to j in -1, 1\/5, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 25*b**2 - 16*b + 16. List the prime factors of r(10).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 6:42 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*j + 23, -4*j - 41 = s + 8. Let z(c) = 2*c**2 - 6*c + 4. Let d(k) = 6*k**2 - 17*k + 11. Determine j*z(a) + 4*d(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igqs when four letters picked without replacement from {q: 6, i: 3, s: 3, g: 1}?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from pppvpppvpvvvpppvppp?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, -1057, 229 in decreasing order.\nAnswer: 229, 139, -1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 10. Let m(q) = -7*q**3 - 7*q**2 + 14*q + 6. Let i(c) = 20*c**3 + 21*c**2 - 41*c - 17. Let t(b) = -6*i(b) - 17*m(b). Let s be t(-8). Give y(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -876994 > -876993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1086\/31 + 108450\/1550 + -70?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 142*p - 7 + 152*p as v*p + h and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100604 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 432677107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 4 - (-3 + 3). Suppose 5 = n + 5*g, -5 = -4*n - u*g + 69. Solve 2*w - n = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4048 + -191526?\nAnswer: -191526.4048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 522798852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/100)\/(16\/30*-2). Suppose 0*q - 2 = 2*q. Which is greater: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 60 = -39*a. Let g = 112 - 87. What is the highest common divisor of g and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**2*u + 32427*f**2 + 4829*f*u - f - 86*u wrt f?\nAnswer: 12*u + 64854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211 - 208. Suppose -x - 7 = -3*k, 2*k - 6 = r*x + 1. Factor 1\/5*a - 1\/5*a**3 - 3\/5 + 3\/5*a**k.\nAnswer: -(a - 3)*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.763 or 0?\nAnswer: -2.763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207747 and 697041.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 825\/(-2740)*30\/(-9) - 1. Suppose -4*k - 13 = 4*u - 1, 2*k = -u - 3. Which is bigger: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 16402?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*f + 40, f - 4*k + 12 = -0*f. Let l be (f - 2) + 2 + (1 - 3). Suppose -3*n + 10 = 1. Solve n*g - l = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 + -13.160533861\nAnswer: -16.260533861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(g + g - 4*g) + 1 - 2*g - 1 + 0*g - 4*g + 14*g + 5*g + 3 - 3.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -20, 29, 7, 1319?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + -0.2. Sort i, 5, 0.4.\nAnswer: i, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 3*c**2 + 2*c - 2. Let o be z(3). Suppose 0 = o*t - 236 + 44. Let l = t - 34. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkvvobovoxxi. What is prob of sequence bk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from mmmffmfmffffmm.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 458115?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.473 - 1.473. Which is the closest to -2? (a) 2 (b) t (c) -0.06 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5680396 seconds in microseconds?\nAnswer: 568039.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(0 + (-6)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23929*g**3*h**3 + 82*g**3*h - 8*h**5 - 63*h**2 wrt h?\nAnswer: 143574*g**3 - 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092 is divided by 353?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51214 is divided by 85?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 9. Suppose 4*l + z - 5*z = -12, 5*l + 21 = 3*z. Let q be u(l). Differentiate -5 + f**q + 6 + 3*f**3 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13946 * -0.3.\nAnswer: -4183.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622583?\nAnswer: 3, 180287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-16)\/(576\/81).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310744029 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 4. Let y be u(-5). Put 3, 10, y in descending order.\nAnswer: 10, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = m + 11. Let k = 6 + m. What is the greatest common factor of k and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -0.81?\nAnswer: 4.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.24 times -25268?\nAnswer: -81868.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22156 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: Calculate the remainder when 179 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -10282 in increasing order.\nAnswer: -10282, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8916.468 kilograms?\nAnswer: 8916468000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2981 - -2976. What is the smallest value in 2\/17, -4, b, 726?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-13) + (-21)\/(-78)*18. Solve r = -4*b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 + -170. Put -4, -2, 6, x in increasing order.\nAnswer: -4, -2, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(190) - (sqrt(190) + 1*sqrt(190)))*5 - sqrt(190))*3)\/(sqrt(70)\/((sqrt(70)*-3 - sqrt(70))\/sqrt(10))*1).\nAnswer: -360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 + 4 + -32 - -6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 - (4 + 6) - -21) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + -0.28. Let i = 13\/14 + -3\/7. What is the nearest to i in b, 4, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/624 and 95\/6.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 4534*h - 9066*h + 4533*h - 3 + 24*h**4 + 3*h**2 to the form l*h**2 + t*h**3 + r + j*h + u*h**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215294 + 8*o + 215294.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 1 + 0 + sqrt(684))**2*-3.\nAnswer: -8220 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1369852692 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 167 + 37 = 0. Let h be (30\/(-25))\/(7 - (-11902)\/(-1705)). Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107.63 - -21.37. What is the third smallest value in 3\/7, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.4246 years in millennia?\nAnswer: 0.3614246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o - 12. Let p = 215 + -218. Find the common denominator of -31\/24 and o\/(6 + 3) - (12 - p).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5 (c) 15 (d) 0.1 (e) 45 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (86227*l - 43117*l + 9*l**3 - 43111*l + 24*l**2 - 15 + 2*l**4)*(2 - 2 + 1) as y*l**2 + n + r*l**4 + x*l + q*l**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-3) - (-715 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -465\/4. Sort 5, -1, h.\nAnswer: -1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/8480 and -37\/2385.\nAnswer: 76320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + (4 - 3) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-24))**(-22)\/(r*r*r**32*r\/(r*r**(-33))) assuming r is positive.\nAnswer: r**(-617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233554 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1204)\/126 + 76\/(-171)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4079796*l**2*v - 829643*l*v wrt l.\nAnswer: 8159592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 808 + -1303. Let l = r + 485. Let o = -3 - -3.2. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -5 (c) 132 (d) 3 (e) -12 (f) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - v + 5 = 3, 0 = 5*a - 5*v - 35 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.41833 + -1.91833. Let x = -3.7 + -1.3. Which is the third smallest value? (a) 9 (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999446.\nAnswer: 2, 7, 71389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (13 + -26 - 11)) + -46?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 17. Factor 14*r + 15*r**y + 9\/2*r**3 + 4.\nAnswer: (r + 2)*(3*r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12081199 to the nearest ten thousand.\nAnswer: 12080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6726, -43, -49, 1 in decreasing order.\nAnswer: 1, -43, -49, -6726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycycyxocxco. What is prob of picking 2 x and 2 y?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609116 equal to 3609117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(0*b**5 - 4*b**5 - 7*b**5).\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and 109769.\nAnswer: -15367.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = 9*g - 5*o + 5, -4 = -4*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1293, -2588, -3883, -5178, -6473, -7768?\nAnswer: -9063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 7*d + 8. Let x be a(6). Let t(f) = f. Let q be t(5). Suppose -3*g = -13 - 5. Solve 2*h = -r - q, 2*r - g*h + 10 = -x*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 25. Suppose 3*l = -5*g + 24, 3*l + l - 2*g - 6 = a. Suppose -37*p**l + 33*p**3 + p - p = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 4*q - 3. Suppose 4*z - 2*b = 12, 11 = 5*z - 2*b - 4. Let t be x(z). Suppose -3*g + 3 + 9 = -v, 4*g - t = 5*v. Solve -g = -r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1097 or 90881?\nAnswer: 90881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**4\/24 + a**3\/3 - 2*a. Let v(j) be the second derivative of q(j). Let s(b) = -b. Determine 2*s(y) - v(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 2*y**3\/3 - 14*y**2 + 39*y - 3867. Determine f(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from {n: 11, c: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 68164150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/3 - 1360*l**3\/3 - 228464*l**2\/3 + 310080*l - 311904 = 0. What is l?\nAnswer: -342, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -490 - -621 - (97 + -2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 296943276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5129330 is divided by 3431?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33837141.\nAnswer: 3, 13, 867619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10*b**4 + 58*b**3 - 58*b**2 + 3*b**4 - 58*b**3 + 0*b**4 to the form g*b + x*b**3 + r + w*b**4 + v*b**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 801457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(80) - (2*(sqrt(80)*-2 + sqrt(80) + sqrt(80)) + sqrt(80))))**2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 2*f - 3, 0 = -2*p - 3*f - 15. Let t be 4\/p - 22\/(-6). Solve t = 5*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/23 + -35\/46. Let j = -44 + 67. Let d = 27 - j. Which is the third smallest value? (a) 5 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 463 + 347. What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 141*n + 3257. Determine w(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 18*z + 123. What is w(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30, -159, -396, -753, -1242, -1875, -2664, -3621?\n\"Answer: -2*d**3 - 42*d**2 + 11*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 35 - 5 = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) -4 (c) -27 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 25*q - 38. Let b be r(2). List the prime factors of 220 + b\/15*5.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - 3169 = -5*a - 3070, 5*l - a + 27 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 4 - 187\/20 and 311\/84 + 6\/(-21).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1872\/7 or 267?\nAnswer: 1872\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 41. What is the tens digit of 544\/3 + 15\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 0)*52\/(-52). Let n be 73 + (i - (-56)\/(-8)). What is the greatest common factor of n and 1452?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14366 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 4, 114 in increasing order.\nAnswer: 4, 79, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1 = 7. Suppose 3*r - 2*b = 4 + 9, -3*r - b = 2. Let l = 2 - r. Sort w, l, 5 in descending order.\nAnswer: 5, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Let w(b) = 33*b + 21*b + 15*b - 53*b. What is r(w(m))?\nAnswer: -256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/14*((-105)\/825)\/(14\/(-70))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -66139?\nAnswer: 66143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-23340)\/(-778)*10\/(-12)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**3 + 4*z**2 + 5*z + 3. Let c be x(6). Let k be 1\/((-2)\/16)*2107\/28. Let j = k + c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*t = 30 + 9, 5*a = 3*t - 39. Sort -0.2, -2\/11, a in ascending order.\nAnswer: a, -0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.2 (c) 1051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1872570.9 - -1871432.9813. Let d = -1138 - h. Round d to three decimal places.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112000203 (base 4) to base 12\nAnswer: -44203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 8*a. Suppose -5*u - 12 = 2*g - 85, a = -4*u + 4. Calculate the remainder when 48 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 91\/13 + ((-40)\/6)\/((-24)\/1332). Solve -372*d + j*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11964260 divided by -15538?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, q: 7}. What is prob of picking 3 q?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1244?\nAnswer: 4976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 + -119. Let o = -31 + m. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49755 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*b - 230, -2*c = 2*b + 91 - 7. Sort -1, -33, -3, c in descending order.\nAnswer: -1, -3, -33, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 8*r + 141. Let d be k(7). Let o(y) = -8*y**3 - 2*y**2 + 3*y - 2. What is o(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/86681 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 2058?\nAnswer: -2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5 - (8 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8531 is divided by 567.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85031 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/31)\/s*s**(-16))\/(s**(-3\/4)\/((s\/(s\/((s**36\/s)\/s)))\/s)))**(1\/7) assuming s is positive.\nAnswer: s**(2081\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - 1.96. Let h = r + 1.8. Let j = -1.02 + 0.02. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4544 + 211?\nAnswer: -4333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-15)*(-8)\/168)\/((-6)\/10).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*f = 1, b = -b - f + 19. Let d = 2192 + -2186. Let k(o) = -2*o**3 - 11*o**2 - 11. Let h(v) = v**3 + 6*v**2 + 6. Determine b*h(i) + d*k(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Suppose 4*z = k*z + 742. Suppose -2*g - 2*l - 304 = -4*g, 5*g = -l + z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 59*g + 0*g**2 + 10 - 61*g - 3*g**2 in the form y + k*g + j*g**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59494*i - 59506*i + 996 = 0 for i.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhgh when four letters picked without replacement from ghhgggfgghggghgggguh?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1 (c) -12160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 353*p**2 + 2*p + 11 wrt p?\nAnswer: 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15520 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232941*a*c**3*y + 73*a*c + 7*a*y + a + 34*c**3*y + 134*c + 2 wrt c.\nAnswer: 1397646*a*c*y + 204*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -465252643922.45 + 465229899893.4499944. Let f = -22744019 - k. Let u = 10 - f. What is u rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3202 (base 6) to base 2\nAnswer: 1011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-314)\/314)\/(4\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/150*30\/18)\/(-3*9\/14337)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r + 9 = 0. Calculate the remainder when 23 + (r + 5 - 3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 135. Suppose p = -6*b + 7*b - 6. Solve 0 = -3*x - b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 505439 and -1.\nAnswer: 505438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 3 + 0*d**2 - d**2)*(-2 + 2 - 1).\nAnswer: -3*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564 divided by -47.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89.244 - -1.356. Round a to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 12*z**2 - 29*z + 24. Let b be u(9). Suppose -b*a + 2*a + 1361 = -3*s, -3*a - 3*s = -1047. Calculate the highest common factor of a and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.208 + 1.792. Put -56, z, 3, 0.4 in decreasing order.\nAnswer: z, 3, 0.4, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/7 - 625*o**4\/7 + 8627*o**3\/7 - 44771*o**2\/7 + 102792*o\/7 - 87984\/7 = 0.\nAnswer: 3, 4, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 5*u + 1. Let j = -4 - 0. Let f be m(j). Solve -2*p + f*p = 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 0*x**2 + 7*x**2 - 9*x + 13 + 0*x**2 + x**3. Let l be w(-10). Solve -2*q + 0*n - n + l = 0, -3*n = -15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7988 = -1535*d - 24873 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 276730554 a multiple of 2824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 1176*g - 518616.\nAnswer: -2*(g - 882)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 times 1.1\nAnswer: -0.0682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.61143 * 0.2.\nAnswer: -0.322286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by 5\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b6bb2 (base 14) in base 11?\nAnswer: 609740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*i + 100*i - 61*i to x + g*i and give g.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-275)*-45 - 7.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8726, -16174, -23622, -31070, -38518?\nAnswer: -45966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104117625 divided by -9?\nAnswer: 11568625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 104338?\nAnswer: 1252056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let u be 4\/(-18) + 64\/(-36). Let h = u + 2. Which is the closest to h? (a) -2 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(77) - (sqrt(77) - 6*sqrt(77)*3))\/(sqrt(700)*3*6*2).\nAnswer: sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*q - 20, 5*b = -13*q + 18*q + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48449638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (38 - (-19 + 24 + -1 + -1))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1955 and 1842205?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 + -3.2. Let m = -0.2 + i. Which is the second biggest value? (a) 2\/5 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -4, 36, 17, -3 in decreasing order.\nAnswer: 36, 17, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3 + 4 + 6 + 36*i.\nAnswer: 36*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttata. What is prob of picking 3 t and 1 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 8 - h - 17 - 4 - 2 - h**3 to x*h + z + w*h**3 + g*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*y**2 + 601658015*h**2 + 54060*h*y**2 - 869 wrt h.\nAnswer: 4*y**2 + 1203316030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -10 + -5 + 1 + 18 and 1428.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -18. Let a be (4 - 0) + 1 - 2. Let s = 1145.84 - 1140.84. What is the nearest to 1 in w, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -16*y**2 + 3. Let n(h) = 16*h**2. Let d(i) = -9*i**2. Let j(a) = 5*d(a) + 3*n(a). Calculate m(j(k)).\nAnswer: -144*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13283 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099602208 rounded to five dps?\nAnswer: 0.00996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*c + 1306 = -2152 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-5 - -1) - 3 - 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 18 = t. Let u(r) = 10440*r - 52195. Let z be u(5). Solve z*f = 2*f + t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20655 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 - 424 = 72*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -840463*f**2 - 426*f**5 - 9*f + 840463*f**2 - 10 wrt f?\nAnswer: -8520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 24*x + 9. Calculate v(-4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11300 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(121)*3 + sqrt(121))\/sqrt(11) + (2*sqrt(1584))**2 + (sqrt(11) - (sqrt(44)\/sqrt(4) + -2))**2.\nAnswer: 16*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1800) + sqrt(1800)*-1)**2 + (sqrt(288))**2 + -4 - ((-2 + sqrt(242)*-1)**2 - sqrt(242))*-5).\nAnswer: 165*sqrt(2) + 1515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127609 to the power of 1\/2, to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 4*a - 3. Let o be x(5). Let v = -2 + o. Let k(t) = -t**2 - 10*t. Let h be k(-10). Solve h = 5*c - 2*d - d + 12, v = -3*c + 3*d - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 40326?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/25 (b) 5 (c) -3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174 + 178. What is the biggest value in -0.3, -2, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34232930 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 26417 and -3255.216.\nAnswer: 23161.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7264172 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3679270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 848629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/v*v*v*v**(1\/2))**(-15\/4) assuming v is positive.\nAnswer: v**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2 - 20*g - 10. Let q(h) = h**2 - h. Let f(t) = 3*t**2 + 2*t + 2. Let s(v) = -f(v) + 2*q(v). Give 16*s(k) - 3*u(k).\nAnswer: 2*k**2 - 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 111. Let r = -62 + k. Which is the fourth biggest value? (a) r (b) -2 (c) -0.14 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-168) - (-13)\/6)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15191079+374.45\nAnswer: -15190704.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 23)*(0 - 12 + 0*b - 4*b).\nAnswer: -112*b - 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*m**2 + 17 - 74 + 30 to the form p*m**2 + f*m + z and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*a + 17 + 0 = 0, 6 = 3*z - 2*a. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 44552399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151895*c + 75904*c + 75994*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/6567323 and 19\/5880.\nAnswer: 788078760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 0.0161713?\nAnswer: 0.0161713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 2*q + 54. Calculate k(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from hhhhhooohhhokooooko?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*x - 4. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*q + 8*q. Let k = q - -90. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0 - 1\/8*c**4 + c**2 + 0*c**3 + 0*c. Let o(m) be the second derivative of m**3\/3 - 170*m. What is o(h(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 4*m - 9. Calculate the least common multiple of y(3) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.163 - -0.309. Let c = t + 88.854. Let j = c - 88.99999988. Round j to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360 + -332. Solve 0 = 3*c + m - 16, -3*c - 2*c = 2*m - u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*y**4 + 9*y**2 - 13*y**4 + 60 - 224 wrt y.\nAnswer: -12*y**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 550 and 440?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*x = 11731 + 963, -4*h + 5*x = -25362. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 * 102.6479\nAnswer: 7903.8883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 53*y**4\/8 - 11*y**3\/6 + 110*y**2. What are the prime factors of t(2)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**24\/x*(x**(1\/19)*x)\/x*x)\/(x**12\/x*x\/x**(2\/5)) assuming x is positive.\nAnswer: x**(1183\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 3*l**2 + 4*l + 4. Let r be w(4). Suppose 0 = 3*s - 12 - 6. Suppose 0 = 5*z + 3*i - 90, -z = -s*z - i + r. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.029 + -0.029. Let i = n + -38. Let x = -17 - i. Which is the biggest value? (a) -2 (b) x (c) -0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (388 - 377 - (0 + 0 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 511247896*g**2*p**2 + 6*g*p**2 + 39372*g wrt g?\nAnswer: 1022495792*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 64*i + 67*i + 26 = 0, 5*t = -3*i - 16. Calculate the highest common divisor of t and 3989.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296711?\nAnswer: 47, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, w: 1, k: 1, n: 3, d: 1}. What is prob of sequence nn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 - 115. Suppose -c*p - 6*p = 0. Factor 2\/11*h**4 - 2\/11*h**3 - 2\/11*h**2 + 2\/11*h + p.\nAnswer: 2*h*(h - 1)**2*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 357 + -355. Let k(d) = -d**2 + d + 1. Let b(p) = 5*p**2 - 7*p - 4. Let h(v) = -b(v) - 6*k(v). Determine h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -16*u. Let i(p) = -265*p**2. Calculate i(j(h)).\nAnswer: -67840*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -450*s + 456*s - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - a - 9 = 0, 19*x = 20*x - a - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*b + 10, -5*b - 3*f - 10 = -5*f. Suppose 5*k = -3*h + 24 + 12, b = h - k - 4. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 72 = -49*l. Let f be (-5)\/(-2) + (-12)\/l. Suppose 0 = -5*c - q + 631, -627 = -5*c - 5*q + f*q. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by 5561912\nAnswer: -205\/5561912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9*r)\/r*r**11)**(1\/16) assuming r is positive.\nAnswer: r**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.48774 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19231625 divided by -709\nAnswer: 27125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*w - 1094 + 115, -w - 670 = -2*y. Let v = -234 + y. Suppose -2*c - v = -5*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w**(-2\/55)*w)\/w))\/(w*w**(9\/7)\/w))\/((w*w*w*w**(-1)*w)\/w**15))**(-4\/5) assuming w is positive.\nAnswer: w**(-18096\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 289 + -2021\/7. What is the closest to s in 6, -5\/3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 17*o**4 - 11*o**4)*(-2 - 1 + 2).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*a - 8 = 0, 2*o + 2*o = -5*a - 28. Is ((-48)\/80)\/(o\/60) + -3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -681 - -877. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183456*z**3 + 50203 wrt z.\nAnswer: 550368*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8580 and 0.5.\nAnswer: 4290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 21*q**2 - 35*q**2 + 15*q**2 - 2*q**3 + (22 - 22 - 7*q**2)*(-102 + 6*q + 102) to the form u*q**3 + b*q + r*q**2 + s and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 1\/105*r**6 + 0 + 2*r + 1\/21*r**3 + 3\/70*r**5 + 0*r**2 + 1\/14*r**4. Suppose q(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 2*l + 1. Suppose 12 = -4*f, 4*a + 3*f + 10 = f. Let r be j(a). What are the prime factors of r*1 + 18\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 175*w + 22*w + 8*w - 20.\nAnswer: -145*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 10*i + 39. Solve i = -5*y + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 80, 307, 760, 1517?\nAnswer: 2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 + 314*d + 939. Calculate v(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/18453 and -35\/1173?\nAnswer: 7215123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, 5.\nAnswer: -4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 855721*w - 7701574. What is r(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + 452. Suppose -4*f + 2*u + 526 = 0, 5*f + 5*u = 62 + h. What is the remainder when f is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487495.1l in millilitres?\nAnswer: 487495100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006282235 to 4 dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 1. Let x(a) = -3*a**3 - 7*a**2 - 5. Give -5*f(u) + x(u).\nAnswer: 2*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/7)*l\/l**(-8))\/(l**(-1\/5)*l*l*l**2))\/((l**0)**(-6\/25)\/(l**(-3\/4)\/l*l*l**(3\/7)\/l*l)) assuming l is positive.\nAnswer: l**(783\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u - 22*u + 500 = 10*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u**2 - 5*u**3 + 1 + 19*u**3 - 15*u**2 + 40*u**2 to t*u**3 + v + b*u + m*u**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -109565 divided by -128?\nAnswer: 109565\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/((((y*y*y**(-1\/8))\/y*y*y*y)\/y)\/y))*y**(-4))\/(y**(2\/7)*y)**(-48) assuming y is positive.\nAnswer: y**(3393\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b. Let l(t) = 2426*t. What is l(v(h))?\nAnswer: -19408*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or -15662?\nAnswer: -15662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212202 (base 3) to base 11.\nAnswer: -533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45050, -90101, -135152, -180203, -225254?\n\"Answer: -45051*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - (3 + sqrt(57)\/sqrt(3))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4043.9999428 + 4044. Round t to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-20)*(3 - 1). Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 - 3. Let f = w + -0.2. Let d = -2 + f. Which is the nearest to d? (a) 0.2 (b) -3\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f - 243 = 12*f - 39 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**4\/24 + 13*x**3\/6 + 4*x**2. Let i be d(9). Solve y + 0 = -i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aar when three letters picked without replacement from {r: 4, f: 2, a: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roo when three letters picked without replacement from oocoxrjcorjcx?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -23.12. Let k = 0.53 + y. Let r = 0.02 + k. Round r to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1093, -4499, -10177, -18127, -28349?\nAnswer: -40843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83112 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -6c4?\nAnswer: -6c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -202*p - 1362. Let n(l) = 67*l + 452. Let u(i) = 10*n(i) + 3*z(i). Find the first derivative of u(c) wrt c.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157 + 112. Let c = -30 - u. Let f be -2 - (0\/(-2) - 16). Are f and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 12*d - 8. Let q be f(10). Let u = 14 - q. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by ((-56)\/10)\/((-2)\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 + -135. Solve 5*g - 2*b + 28 = 0, -q*b - b + 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 32.\nAnswer: -27\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2499 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = -1249*d + 1200*d + 294 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1 + 41 = 0. Suppose -4*c = 4*n + 30 + 6, -5*n = 15. Let q = 8 + c. Solve 2*b + q = -4*l + g, 3*b = -3*l + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 - 12.3. Let m = -45917542.0000046 + 45917535. Let z = s - m. What is z rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-21)\/30)\/(-7).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 2*n - 6*n)*(-4*n - n + 4*n)*(0*n - n + 3*n)*(-1 - 2 - 2) in the form k*n**3 + r + u*n**2 + s*n and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**4 - 6*w**3 + 8*w**2 + 6. Let j(c) = -12*c**4 + 17*c**3 - 24*c**2 - 17. Let y(m) = -6*j(m) - 17*l(m). What is the third derivative of y(n) wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-786 - 56 + 253)*(4*l**3 + 8*l**3 - 10 - 10*l**3) to the form x*l**3 + z*l + o + g*l**2 and give x.\nAnswer: -1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 1}. What is prob of sequence nyn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34712 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63353.58 millilitres to litres.\nAnswer: 63.35358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1569\/7 (c) 2 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/15)*f*f*f**1*f)**34 assuming f is positive.\nAnswer: f**(2006\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*i + 26, -5*n + 5*i + 26 = -4. Solve -2 - n = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 53*p - 1. Suppose 29*n + 2 = 31*n. Let r be i(n). Suppose -v - r = -207. List the prime factors of v.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 + -3)*(-1)\/(-14). Let w = 0.41 - 19.41. Let o = -22 - w. Which is the smallest value? (a) p (b) o (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72677 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2409, -2, -5 in increasing order.\nAnswer: -5, -2, 2409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(4\/(-2) - -3). Does 8 divide 19\/(f - 3\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 8 + 8 - 3*m + m + 3*m + (-3 + 3 + 2*m)*(-1 + 6 - 3))*((0 + 11 - 5)*(-3 - 2 + 3) + (0 + 0 - 2)*(2 - 5 + 2)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l + 496 = 62*l. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9585 = -11*t. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 7, y: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x**2 + 175*x - 13. Give c(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11776 and -51\/58880.\nAnswer: 58880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12))\/((-103)\/((-74984)\/(-520)))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -0.3, -2\/19, 0.3, -3599?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**5 + 455*m**4\/4 - 3525*m**3 + 10125*m**2\/2 + 727. Factor w(n).\nAnswer: -5*n*(n - 45)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*5*18\/300.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1175 * -2.\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47630574.\nAnswer: 2, 3, 139, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155 by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezezrzzezre. What is prob of picking 2 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658341099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 262187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*(-80)\/56*(-1071)\/102.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {t: 2, m: 3, d: 1, u: 9, k: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 + 262*l - 88. What is j(37)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/11))\/(g\/(g\/(g*g**(1\/3)))))\/(g**0\/g**3)*(g**(-1)\/g*g\/(g*g**(-2\/3)\/g)*g)\/(g**2*(g*g**(-1\/2)*g)\/g) assuming g is positive.\nAnswer: g**(43\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4114113 is divided by 228560?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - -1) - (15 + -20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -971\/1668 + -1\/834. Is m smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -342, -524, -708, -894, -1082, -1272?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11548574 is divided by 736.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/1015 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136 times -0.4?\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 927278534 a multiple of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15522 is divided by 4814?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 82970 to the nearest 1000.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -225661 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/40 - m**5\/60 + m**4\/12 + 12*m**2 + 6. Let k = -22 - -36. Let i(b) = -10*b**3 + 4*b**2 - 7*b. Determine k*v(r) + 4*i(r).\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 123 = -3*j. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**2 + 7003*u + 6089 wrt u?\nAnswer: 4*u + 7003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*w = -15, 3*k + w + 10 = -w. Let u = k - 25. What are the prime factors of 20\/u*55\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 670*x**3 - 11 - 11 - 14 + x to the form n + u*x + v*x**2 + k*x**3 and give k.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1865 is divided by 95.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 5, n: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -2*y**3\/3 + 6. Let d(j) = -5*j**2. What is d(b(t))?\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10593581, -21187163, -31780745, -42374327, -52967909, -63561491?\nAnswer: -74155073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4\/(j*j**(-4))*(j*(j*j**(-4\/5))\/j)\/j**(-3\/5) assuming j is positive.\nAnswer: j**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 8*g**2 + 21*g + 20. What is s(-12)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -7. Let f = -12 + 10. Let t = 36\/5 + -262\/35. Put f, s, t in descending order.\nAnswer: t, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b - 7*b - b**3 - 2*b**3 - 2*b**2. Determine h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, q: 3, x: 2, f: 1, g: 3, w: 1}. What is prob of picking 1 a and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 479 = -228. Let a = -49 + v. Let g = a + -21. What is the greatest common divisor of g and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(495))\/sqrt(9))\/(sqrt(33)\/sqrt(3)*3) + 2.\nAnswer: -5*sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 26*d = 18. Suppose -4*g + 2 = 4*q - d*q, g - 2 = -q. Solve -8 = -6*n - q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29301622*j**4 + 2*j**3 - 182040*j**2 - 1295.\nAnswer: 703238928*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-68) - (-243)\/102. Let m(n) be the second derivative of -8*n - d*n**2 + 1\/3*n**3 + 0. What is m(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8537539 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 661275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2807874, 5615745, 8423614, 11231481?\nAnswer: 14039346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52108561*t**3 - 1 + 52108577*t**3 + 1.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**3 + 126*d**2 + 42*d + 23. Is 64 a factor of w(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 0.4, 2\/3, -5, 1\/7 in ascending order.\nAnswer: -5, -0.16, 1\/7, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**6\/30 + 5*z**4\/24 + z**2. Find the second derivative of i(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276*t - 4842*t + 288*t - 2910*t to s + k*t and give k.\nAnswer: -7188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.2 - 6.2. Let u = x - 27. What is the closest to 0 in -5, -2\/17, u?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*c + 131*c + 9180 = 0. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(4\/(-384)). Suppose 4*l - a = 2*t, 0 = 3*t - 4*t. Suppose 13*m - 8 = l*m. Solve -m = -2*o - 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 2:35 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 404117708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/12*-4 + -2. Solve -3*j + 8*j = -3*b - 1, -2*b - 7 = -z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0 - 1\/30*a**5 - 5*a**2 + 0*a**3 + 0*a + 0*a**4. Let x(d) = -4*d. Give x(g(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfm when three letters picked without replacement from {m: 1, f: 2, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 3*x**3 + x**2\/2 + 2*x. Let n be k(-1). What is the units digit of (-6)\/(2 + 1) - n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17 - 845)*(-499 + -1). Round w to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) -1 (c) -2596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42203569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and -0.0388.\nAnswer: 2.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 382*j - 81. Calculate the remainder when k(3) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*x - 38*x - 4. Which is the closest to 0.1? (a) x (b) -3\/4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-18) - (-6)\/9. Let x(k) be the first derivative of 0*k**2 - 8 + 0*k - p*k**3. Let a(y) = -6*y. What is x(a(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/11)*k)\/(k\/(k*k**(-35\/2))))**(2\/15) assuming k is positive.\nAnswer: k**(-113\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 47 + 23*u)*(21*u + 0*u - 3*u)*(0*u + u + u)*(-2*u - 11*u - 6*u).\nAnswer: -15732*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-25))\/((-6)\/(-40)). Suppose -30 = 2*c - n*c. Suppose 3*v = 4*f, -c*f + v = -0*f - 11. Solve -f*p - 10 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 500 - 1038 + 498 + 14*j**2 + 136*j = 0.\nAnswer: -10, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 10:23 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21655, 37789, 53925, 70063, 86203?\n\"Answer: u**2 + 16131*u + 5523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520898.\nAnswer: 2, 3, 23, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -25790705?\nAnswer: -25790704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 3*f + 15. Let r(a) = -a**3 - 7*a**2 + 7*a - 224. Let z be r(-10). Calculate w(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*l**3 + 372*l**3 + 57*l**3 - 260*l**3.\nAnswer: 655*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1176?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -92.43118\nAnswer: -18.486236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = 3*k, -4*f - 4 = -5*k + 4. Let i be ((-18)\/(-2) - 1) + 0. Let c = -7 + i. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 160?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*h - 20, -6 = -3*t + 4*h - 44. Let g = 14 + t. Calculate the lowest common multiple of g\/((-1)\/6*-4) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -165758?\nAnswer: -165761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441292316.\nAnswer: 2, 7, 11, 11173027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -5\/72*u**4 + 0 - 1\/72*u**6 - 1\/18*u**5 + 0*u**3 + 0*u + u**2. Let d(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62963 at most 63476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095833636.\nAnswer: 2, 273958409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21537*w**3 - 10772*w**3 - 10776*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1080) + 1*sqrt(1080)*-3)\/((-1*sqrt(3072))\/sqrt(8)))**2.\nAnswer: -225\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8))**(-4\/13))**(-30) assuming w is positive.\nAnswer: w**(-960\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 75. Let s be k(0). Let w = -19 - s. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.48 (c) -1 (d) 0.02384 (e) -2\/11 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1276646965*g**3 - 58019831*g**2 - g - 2?\nAnswer: 7659881790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from dxdddadhdfnahhndhhh.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/50 and -69\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 6. Let g = 407 + -419. What is o(g)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411 - 411 - 53*p**2 - 39*p**2.\nAnswer: -92*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -1118\/25?\nAnswer: -1118\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 66813050*v - 66813045.\nAnswer: -5*(v + 1)*(v + 13362609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12 - ((4 - -17) + -48)) + 2\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5*5*(-108310)\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/(((-6095)\/265)\/(5\/1))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -40. Suppose 5*z - t*c + 2*c = 535, 5*z + c = 520. What are the prime factors of z?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -29*c**4\/24 - 103*c**3\/6 + 8*c**2 - 1. Calculate the remainder when f(-9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -25*o + 32. Let d be w(1). Suppose -d*s - 12 - 23 = 0. Sort 0.27, 0.01, s in decreasing order.\nAnswer: 0.27, 0.01, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 440*z**2 + 5832*z + 13188. Give y(-206).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-3 + -1 + 14 - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3115.6 + 3115.9. Let r = -5\/114 + 4\/19. Which is the nearest to r? (a) -0.1 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127467465 rounded to four dps?\nAnswer: 0.1275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -63\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-12\/7)\/((r*r*r**(-1\/2)*r*r*r)\/r*r*r**4*r*r*r))**(1\/9) assuming r is positive.\nAnswer: r**(-185\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 2106, 7133, 16934, 33105, 57242, 90941, 135798?\nAnswer: 193409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23.9 times 7080\nAnswer: -169212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1065205 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 469355\/4 or 2\/19?\nAnswer: 469355\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -982*i**2 - 16691*i + 51 = 0. What is i?\nAnswer: -17, 3\/982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(2 + 351\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -0.07, 0, 5 in descending order.\nAnswer: 5, 0, -0.07, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(7)*-2 + sqrt(7)) - ((sqrt(1250))**2 - sqrt(2))) + (1*sqrt(200)*1*6)**2.\nAnswer: 5950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139732*j**3*k + 10*j**3 + 3*j**2*k**3 + 4679*j*k**2 + k**3 - 230*k wrt j?\nAnswer: -838392*j*k + 60*j + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249141?\nAnswer: 3, 83047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*i - 5 = 2*i, 3*i + 3 = -5*u. Suppose u = -23*s + 15*s + 1056. Is 44 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - 2*n + 3. Is u(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36880 + -36880.5. Let t be (6\/(-64))\/(3\/(-12)). Which is the biggest value? (a) t (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16.71, -4, -22\/23?\nAnswer: -22\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140790)\/(-5054)*(-14)\/(-6).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -1 (c) 5 (d) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k, -3 = 2*l - 3*k + 5. Let g(y) = y - 2*y + l*y - 14 + 4. Suppose o + 3 = 12. Calculate g(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - -3. What is the greatest common factor of 30 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**2. Let p(d) = -11*d + 6*d - 8*d + 2*d - 8*d. Determine v(p(f)).\nAnswer: 2888*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001001000010 + -10110?\nAnswer: -100001001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o**2 + 2*o - 47. What is r(-4)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - v - 58 = 2*v, 2*m = -4*v + 18. Let n = m + -1. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*b + 460*b + 110937 + 66339 = 2277*b for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 89*m**3 - m**2. Let k be b(1). Let r(i) = -11*i - 37. Let a be r(-4). Suppose 3*j - a*j = -k. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9093 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4*a + 0*a)*(a + a + 0*a + (4 - 5 - 1)*(4 - 4 + 2*a) - 2*a + 1 - 1 - 1 + a + 1).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 3 (c) -98290 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**7\/840 + d**6\/180 + d**5\/40 - d**4\/12 + d**2. Let a(u) be the second derivative of g(u). Does 8 divide a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.496 - 0.596. What is q rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 195\/(-81) - -2 - -2. Let v be 2\/8 + 57\/(-324). Let q = w + v. Which is the second biggest value? (a) q (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**5 + 3*u**2. Let h(p) = -4*p**5 + p**2. Let b(i) = 11*h(i) - 6*x(i). Find the third derivative of b(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000836 rounded to 6 decimal places?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let z(t) be the second derivative of t**3\/2 + 7*t. What is k(z(h))?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b - 10. Let v(j) = 8*j**2 + 8. Give v(s(l)).\nAnswer: 392*l**2 + 1120*l + 808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36673 and 5983?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*u + 3*s + 1176, -3*s = 3*u - 1164. Let m = u + -88. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17)\/(t\/(t\/(t\/(t**(1\/18)*t)))))**(1\/18)*(t*((t**(-1)*t)\/t)\/t*t)**(2\/53)\/(t**(2\/13)*t\/(t*(t**(2\/9)\/t)\/t)*t) assuming t is positive.\nAnswer: t**(-210163\/71604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1218*d - 1316*d - 4018 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 15. Let z be u(-4). Let h(x) = x**2 - 9*x - 12. Let i(a) = 6*a**2 - 45*a - 61. Let c(g) = 11*h(g) - 2*i(g). What is the units digit of c(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13 + (-6 - (2 - 8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 15030869*i + 15030869*i + 19*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8. Let o = 3 - z. Factor -1\/2*l + 1\/2*l**3 + l**o - 1.\nAnswer: (l - 1)*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 - 30 = 0. Suppose -d = -4*k + 2*k. Calculate the lowest common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*x**4 - 31*x**2 - 370 + 366 - 16*x**3 - 8*x**2 wrt x?\nAnswer: -240*x - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/26484 and -127\/126.\nAnswer: 556164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 - 3852\/19. Let y = -77\/76 + g. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2815 greater than -2815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -29*x**2. Let l(v) = -10*v**2 - 16*v. Let u(w) = -3*w**2 - 5*w. Let t(g) = -5*l(g) + 16*u(g). Give b(t(s)).\nAnswer: -116*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*k + 15, -755*k = -751*k + v - 9. Solve 0 = -11*r + 9*r + 5*c + k, 0 = 4*r + 2*c + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 62 = -p + 68, -3*p - s = 47. Let z be 6\/p - (-209)\/308. Which is the nearest to 0? (a) 2 (b) 3 (c) 1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1 (c) -0.2 (d) 3908 (e) -568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 696201 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {g: 4, v: 6, s: 2, i: 1, l: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, -1 in decreasing order.\nAnswer: 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38992534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q - 34. Calculate the lowest common multiple of 4 and m(38).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4940957ug to milligrams.\nAnswer: 0.0004940957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 15*y**2 - 2*y + 58. List the prime factors of j(16).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q - 15*q - 12*q - 6*q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1582893 and 5727.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 14 = -2*h, 6 = -3*h. Calculate the remainder when 33 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 3*c + c + 4*c. Let v(l) = -6*l**2. Calculate v(s(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 806 + -355. Is i a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 8*g - 3. Let x be f(7). Suppose 19 = 5*i + x. What is the second derivative of -4*c**i - c + 0*c + 0*c**3 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 6 = -2*r, -2*l - r + 5 = 0. Suppose 0 = w - l - 2. Suppose -s = -w*s + 9. Solve 16 = 2*m + 2*m + 2*k, 0 = s*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:01 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**5\/i*i)\/i)*i**5)\/(i**(-1))**(-46) assuming i is positive.\nAnswer: i**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 0.1 (b) 0.6 (c) -3\/20 (d) 6 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 5*g - 8 + 23, 4*g - 11 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -12*s + 60. Let k(q) = q**2 + q - 1. Let r(j) = 7*j**2 + j + 11. Let p(t) = -6*k(t) + r(t). List the prime factors of p(s).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4114 and 6534.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.4 (c) -69 (d) -5\/566 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*i**4 + 884*b**2*i**2 + 44*b**2*i - 4*b*i**2 - 177*b*i wrt i.\nAnswer: 24*b**2*i**2 + 1768*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*r - 177*c + 176*c, 5*c - 18 = -2*r. Sort r, 529, 1\/9, -0.1, 0.3 in increasing order.\nAnswer: r, -0.1, 1\/9, 0.3, 529","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -348819937\/840 - -415262. Calculate the common denominator of k and 32\/63.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.60381 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, s: 1, b: 5, y: 9}. What is prob of sequence ybo?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 - 2*r + 1. Let c(b) = -7*b**3 - 3*b**2 - 6*b + 4. Let p(m) = -c(m) + 6*x(m). Give p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - -2 - (-3)\/(-3). Suppose k + v = j, -1 = 2*v + 3. Solve k*d - 20 = 5*d - 2*b, -2*d - b + 9 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5145888 and -0.31112.\nAnswer: 5145887.68888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 12*h**3 + h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5771.06 years to months.\nAnswer: 69252.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2360 - 670 = 5*j, 3*j - 991 = -4*l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i**2 + 2*i + 9*i**2 - 2*i + 4*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 565, 1\/3, 10, 6.\nAnswer: 1\/3, 6, 10, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 33f2?\nAnswer: 33f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6553674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - (2 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6643, 6837, 7423, 8617, 10635, 13693, 18007?\n\"Answer: 36*j**3 - 20*j**2 + 2*j + 6625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jmjmhx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -4*z + 2. Suppose -662 + 1023 = 83*y - 2129. Calculate the greatest common divisor of z and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12103, 12103, 12105, 12109?\n\"Answer: j**2 - 3*j + 12105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Suppose 3*b = -2*b + 20. Suppose 124 = j*v - 3*l, -2*l = b*v + 2*l - 152. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1174?\nAnswer: 7044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149 + 77. Let c = 40 + v. Let f = -19 - c. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 710140 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:02 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.5 (c) 71.76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1816773 to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6946 + 6945.999993169. What is i rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*z - 702 = 71*z. Solve -3816 = z*w - 3672 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*o**2 + 21*o**2 + 32*o**2.\nAnswer: 125*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) -3 (b) 320 (c) 2\/231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 223135 (base 16) to base 13\nAnswer: 605c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17618691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 10*r - 35*k + 40*k, -r - 22 = -2*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24 - 0.59?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 557 + -398. Let l = h - 158.99999594. What is l rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/23408 and -115\/26334?\nAnswer: 210672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - p = -2*d + 13, -5*p - 35 = -5*d. Suppose -q = -4*s + 12, q + 0 = d*s - 9. Solve -13 - 2 = -s*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 3. Let o be l(5). Suppose -6 - 1 = -i. Let p(k) = -k**2 + 9*k - 10. Let t be p(i). Solve -t*z - 7 = 5*x, -3*z - o*z = -2*x - 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(275)*1 - (sqrt(275) + 2 - sqrt(275))*-6) + 2*(sqrt(275) + 5 + sqrt(275) + -3)*4)**2.\nAnswer: 10450*sqrt(11) + 102300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6, -4, 31934 in descending order.\nAnswer: 31934, 9, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22765582 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-16))\/(10\/((-2520)\/(-27))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -19. Suppose 5*b - 25 = -5*l, q*l + l = -2*b + 10. Suppose b*s - 85 = 3*v + 2*v, -4*v = 3*s - 16. Solve -5*i = 2 - s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. What is the remainder when w(-6) is divided by 3\/9 + 15\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1145 + 1009. Which is greater: -962\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*-6*sqrt(170)*1)\/(sqrt(100)\/((sqrt(90)*1)\/sqrt(9))*-5).\nAnswer: -24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/(2*66\/(-22)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.07 - -16. Let g = k - 2.93. Let t = g + 2.99999985. Round t to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.0385 - -0.0385. Let s = 10 - 71\/7. Which is bigger: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a gram in milligrams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 829*w**2 - 828*w**2 - 3 + 12 - 3*w - 7. Determine c(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63000 (base 7) to base 2.\nAnswer: 11110001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42203424 is divided by 2637714.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 3087812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2\/19*i**2 + 2\/19*i - 2\/19*i**3 + 0 + 2\/19*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3331498 is divided by 971.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, -2, 12 in ascending order.\nAnswer: -146, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**2 - 147345*l - 441990 = 0.\nAnswer: -29466, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = o - 14, o = 6*o + 4*l + 6. Let p(x) = -x - x**o + x. Let w(f) be the first derivative of -f**2\/2 + 4. Give p(w(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k - 95. Let s(o) = -17*o + 144. Determine -8*n(v) - 5*s(v).\nAnswer: 5*v + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3065 or 0.1?\nAnswer: -3065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w - 3. Let z be (-191)\/(-21) - (22\/(-21))\/(-11). What is s(z)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 616 + 604. Suppose -7 + 37 = 3*h. What is the derivative of -m + 34 + h*x**4 + 13 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6706562, -6706551, -6706540, -6706529, -6706518, -6706507?\nAnswer: -6706496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 2. Let i be d(-3). Let k(h) = 1. Let z(l) = -l**2 + 5. Let m(b) = i*k(b) - z(b). Let f(s) = -5 + 3 + 2 + 3*s. Give m(f(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(-16*k - k - 12*k)*(1 + 0 - 5) - k + k - 3*k in the form s*k + o and give s.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2900 divided by -116\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 183, -4780, -8 in descending order.\nAnswer: 183, -3, -8, -4780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*18\/4. Let q = -2 + v. Suppose -p + 6*p = 10, -w + 5*p - 11 = 0. Put 5, q, w in descending order.\nAnswer: 5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + b = 10, 2*l + 5*b = -0*l + 18. Suppose 2*u = -5*j + 1523, 5*u = 2*u - l*j + 2302. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 134, 120, 88, 32, -54?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (9 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from foofffofoooffoofooff. Give prob of picking 2 o.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*c**2*u**2 + 15*c**2*u + 2*c*u**2 + 59*u**2 - 268*u wrt u?\nAnswer: 130*c**2 + 4*c + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:52 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-15)*(-220)\/(-8). What is the second derivative of -c - 12*c**2 + 5*c**2 + x*c wrt c?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1790733?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 2*g - g + (0 + 2 - 4)*(0*g - g + 0*g) - 1 + g + 1 + (-2*g + 6*g - 3*g)*(0 - 4 + 3))*(-1407*g**3 - 1131*g**3 + 2122*g**3).\nAnswer: -1664*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*s + 176 = -10*x - 629*s, 0 = x - 3*s + 11 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -60678?\nAnswer: 60674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92923 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and -4 + (-7)\/((-28)\/88)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -829 + 831. Let v(q) = q**3 - 2*q**2 + 5*q - 5. Calculate v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b. Let p be (-3 + 4 - 0) + -1. Let o be 4\/(p - (-3 + 1)). Let t(q) = 1 - 3*q**o - 1. Determine t(h(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158389.746 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*j*z**2 - 110*i**2*j*z - 22*i*j*z**2 - 4*i*z + j*z**2 + j*z wrt i.\nAnswer: 2*j*z**2 - 220*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.129.\nAnswer: -0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (sqrt(1573) + 0 + sqrt(1573) + -1 + sqrt(1573) - sqrt(1573)) + (4 + (-2 + sqrt(1573))*-6)**2 + 1).\nAnswer: -341292 + 12540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 461 + -461.41. Let g = -0.21 - m. Sort 0.07, g, -3 in descending order.\nAnswer: g, 0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3754650 and 4755.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 691 in -0.4, 360, 1\/7, -3?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 14. Let l(q) = -7*q**2 + 3644*q + 2. Give l(j(s)).\nAnswer: -28*s**4 + 6896*s**2 + 49646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 times 0.7501\nAnswer: -0.0232531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4205 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19615241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 961 + -963. Let g(r) = r - 1. Let a(b) = 292*b**2 + 2*b + 69. Let q(w) = u*g(w) + a(w). What is the derivative of q(s) wrt s?\nAnswer: 584*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2627)\/497)\/((-3)\/21)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from qqbqqmmqmmmqqqm?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*h)*(-2*h**3 - 2*h**2 - h**3 + 6*h**3).\nAnswer: -12*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzzxuxzzzxzz. What is prob of picking 2 z and 1 m?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k + 5*k - 5*k)*(-1 - 2*k + 1) + 3*k**2 + 3*k - 3*k + 19 - 10*k**2 - 19)*(-2*k - 2*k + 8*k).\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/(-8) - 1\/(-4). Let w be (-3 + h)\/((-1)\/(-1)). Suppose 5*j = o - 22, w*o - 4*j = -4 + 24. Solve -r - o + 0 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-20)*(-4 + 2)*-5.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, s: 2, i: 1, n: 1, c: 6}. What is prob of picking 1 s and 1 n?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.56895km to nanometers.\nAnswer: 34568950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**6\/3 - 6*p**5\/5 - 3*p**4\/2 - 2*p**3\/3 - 7*p. Factor m(h).\nAnswer: -2*h*(h + 1)**2*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 18*t**2 - 17*t - 20. Let h be j(19). Let f be (h\/(-63))\/(6\/(-21) + 0). Solve -b - f = 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2539\/3 - 858. Find the common denominator of (2\/4)\/(10\/4) and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51251 and 11?\nAnswer: 563761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36034, 36972, 37920, 38884, 39870, 40884, 41932, 43020?\nAnswer: 44154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -33*t. Let h(x) = -15*x**2 + 2384*x + 166. Let f be h(159). Let l(y) = -66*y. What is f*v(q) - 3*l(q)?\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**2 - 8*d - 3. Let o(s) = 20*s**2 + 23*s + 8. Let l(u) = 17*k(u) + 6*o(u). Let r be l(4). What is the greatest common divisor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 16. Let u be y(13). Let z = 0 - -2. Solve b + 3 = -l + z*l, u*l + 3 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 542, -12, -5?\nAnswer: 542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 53, 202, 435, 740, 1105, 1518, 1967, 2440?\n\"Answer: -2*o**3 + 54*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16*c**2 - 2*c - 3. Let x(j) = -j**2 - j + 1. Let t(z) = -w(z) + x(z). List the prime factors of t(-2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 19 = -f - y, 169*f - 344*f + 4*y = -174*f + 33 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 4, -1\/70322?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1\/3, 1.\nAnswer: -14, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92192, -98188, -104184, -110180, -116176?\n\"Answer: -5996*r - 86196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71832*i**2 - 143807*i**2 + 71970*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/(-180) - 1\/5)*(-35)\/(-50)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -253 + 252.783. Let l = 0.083 - m. Which is the third smallest value? (a) l (b) -3\/5 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304590 and 2340?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**6\/120 - l**5\/10 + l**4\/8 + 4*l**3\/3 + 3*l**2. Let c be j(6). What is the greatest common factor of 65 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111011 (base 2) in base 16?\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20695814 and 91\/9897998.\nAnswer: 227653954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 46 - 33 - 10 - r - 9 - 3 + 3*r. Let i be 22\/6 + 3\/9. Give p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3049*v**3 - 1 - 2 + 3 + 3030*v**3.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 60 = -4*b. Solve -1 = 5*u - 2*r, 3*u = -5*r + r + b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -4) + 49\/(-1960)*488\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4\/9 + 428*i**3\/3 + 31976*i**2\/9 - 37472*i\/3 - 143104\/9 = 0. Calculate i.\nAnswer: -26, -1, 4, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -3. Let x(k) = -3 - 1 - c*k + 18*k. Let s be x(2). Calculate the highest common factor of 88 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c. Let p(d) = 8*d + 9*d + 9*d - 26*d - 9*d**2. Give p(r(h)).\nAnswer: -225*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 128*w**2 + 126*w + 235. Determine h(65).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a + 3 + 5*a - 5*a**4 + 4*a**4 - 12*a + 2*a**2 in the form z + y*a**3 + t*a**2 + b*a**4 + n*a and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 less than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*k**2 + 61*k + 3828 wrt k?\nAnswer: 14*k + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115457\/2 + -57726. Solve -15\/4*j + 65\/4*j**3 + h*j**5 - 5\/2 + 45\/4*j**4 + 25\/4*j**2 = 0 for j.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -114. Let j = -0.9 - -0.4. Put 2\/7, j, w, 4\/7 in increasing order.\nAnswer: j, 2\/7, 4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.6 - -14.6. Let f be (12\/(-10))\/((-10)\/100). Let n be -5 + 0 + 3 - -4. Which is the biggest value? (a) n (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - j**4 - 2*j**2 + 8*j**4 + j**2 - j**2 + (-2*j**3 - 4*j**2 + 4*j**2)*(-4*j - 4*j + 7*j).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12*q = -33, 75*q - 80*q + 35 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2054.512l to millilitres.\nAnswer: 2054512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + x - 2*x**2 + 0*x - 4*x. Let n be m(4). Find the common denominator of 67\/8 and (22\/n)\/(5\/11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.68 minus 14?\nAnswer: -185.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.85719257 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 5.04?\nAnswer: -5.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 2*g**2 + 747*g**3 - 2872*g**3.\nAnswer: -2125*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108*l**2*y**2 + 42*l**2 wrt y?\nAnswer: -216*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7148 and -1620?\nAnswer: 1157.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 17 = -97. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3 - 18*o + 9*o + 6*o. Let k = 4 + -7. Does 13 divide b(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 446719 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1324\/7 + -188. Let 8\/7*p - 10\/7*p**2 + v - 6\/7*p**3 = 0. Calculate p.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 23*v**2 + 42*v + 7. Let t be m(-21). Solve 3*y - 2*n + t + 0 = 0, -5*n + 28 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-4)*(-16)\/(-24). Solve y - 3*l + 4 = -3, -17 = -4*y - q*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - d + 0*d + (1 - 1 + 2)*(-6*d + 4*d + 3*d) + 0*d + d + d + d - 2*d + 0*d + (1 - 3 + 1)*(-6*d - 25*d - 50*d) + 2*d - 6*d + 3*d.\nAnswer: 85*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(76) + 3)**2.\nAnswer: 24*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(363\/6 - -2). Let y = l - 2566\/7. Find the common denominator of 1\/5 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1513\/5 != 1773.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + c = -2*m + 8, 5*m - 18 = 4*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = c - 3, 5*x + 4*c + 2 = 0. Let i = 0 + 0. What is the derivative of z**4 + i*z**4 + x - 2*z**4 wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 32*k - 26. Let b be j(-15). Suppose -b*v - 16 = -5*h, 5*h - 19*v = -17*v + 8. Solve h*t - t + m = 4, 0 = -2*t + 4*m - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1860, 7506, 16926, 30126, 47112, 67890, 92466?\nAnswer: 120846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 19683*y**4 - 729243*y**3 + 4169406*y**2 - 204564*y + 2520 = 0. What is y?\nAnswer: 2\/81, 7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1035 + 1037. Find r such that -8\/3 - 2\/3*r**n + 8\/3*r = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-165)\/(-22)*(26\/6 + 1). Is 20 a factor of (-1 + 15\/5)*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from aiiriaaraari?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14789436289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r - 14. Let f be w(-6). Suppose a + f*h - 94 = 2*a, -342 = 3*a + 3*h. Let c = a - -110. Solve c = -2*s + 1 - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 24. Let p = 29 - z. Suppose 25*h - 26*h = -17. Put 4, 1, p, h in descending order.\nAnswer: h, 4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:41 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1302*p - 1464 = -1279*p - 13355. Which is smaller: p or 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 3 - 80*o**4 + 30*o**4 + 45*o**4 in the form q*o + i*o**3 + x*o**2 + z + b*o**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 13925743*b**2 - 1. Let a(w) = -8*w**2. Calculate i(a(c)).\nAnswer: 891247552*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -43, -114, -237, -430, -711, -1098, -1609?\n\"Answer: -3*v**3 + v**2 - 19*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -14\/3*p**3 - 61\/8*p**4 + 0*p - 22*p**2 + 0. Is m(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + z + z)*(2 + 4 + 4 + 4 + 1 - 6 + (4 - 3 + 1)*(-5 + 0 + 4) - 1 + 3 - 4) to the form t*z + h and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*q + 2880*q**2 + 72*q - 120*q as k + j*q**2 + a*q and give j.\nAnswer: 2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -7*g**3\/6 + 27*g. Give w(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 33980*y - 57732020.\nAnswer: -5*(y + 3398)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(1*(-4)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 388, 579, 768, 955, 1140?\nAnswer: 1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572 = l + 573 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.028 + -0.9485. Round y to 2 decimal places.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 46728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1679 + 1788. Calculate the greatest common factor of 981 and v.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -3\/7 (c) 1.73 (d) -30\/13 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*j = -10, 4*u + u = j + 24. Suppose 0 = -2*c - 2*t + u*t + 2093, -2*t = c - 1043. Suppose -627 = -3*b - 2*p, b + 4*b = p + c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 1768 = -14*z - 2693 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1113 + -943. Which is bigger: f or 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:07 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4 - 228*h + 3 + 221*h. Let t be 1\/2*6 - -2. Suppose 0 = -f - 4*f - t. Give p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 504\/2 - (-7 - -11). Let j = y - 51. What are the prime factors of j?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 31*d**2 - 178*d + 118. Let i be f(5). Let a(h) = -h + 13. Let z(q) = -q + 13. Give i*a(u) - 2*z(u).\nAnswer: -u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9333*z + 9203*z = 0. Solve 2\/7*t**4 + 0*t**3 + 0 - 2\/7*t**5 + 0*t + z*t**2 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 202, 174, 166, 196, 282?\n\"Answer: 3*u**3 - 8*u**2 - 25*u + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 102 = -14. Suppose 0*j + 2*y + 514 = -5*j, -2*y + 200 = -2*j. Is -5 + j\/(-24) + (-1150)\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924168231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105075896, 105075885, 105075872, 105075857, 105075840?\nAnswer: 105075821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)\/u)**27*u**5*u**14 assuming u is positive.\nAnswer: u**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14675, -29354, -44033, -58712, -73391?\n\"Answer: -14679*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1206527*w**2 + 603264*w**2 + 603265*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33110 and 9240?\nAnswer: 397320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -756 + 756. Let u(o) = -2*o + 3*o**2 + 3 - o**2 - 2*o. Let y be u(2). Sort -1, y, b.\nAnswer: -1, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29213 (base 10) to base 6\nAnswer: 343125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88737 and 207053?\nAnswer: 621159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008055908 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3\/8, 67, -0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*i**3*q + 13*i**3 + 703492*i**2*q + 2*i**2 - 3*i + 223050 wrt q?\nAnswer: -41*i**3 + 703492*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {d: 1, z: 1, k: 1, j: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:51 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:49 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*95\/1197)\/((-7)\/14).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 3\/(-12)*0. Let m be 0\/1*7*6\/42. Determine s, given that 0 + 2\/7*s**5 - 2\/7*s**u + 0*s**2 + 0*s**4 + m*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0 - 151*m + 0*m**2 + 3*m**4 + 7\/3*m**3. What is the second derivative of w(g) wrt g?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/(-15)*3)\/((-2)\/(-172)). Let r = -414 - t. What is the greatest common factor of 304 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-21) - (-340)\/14. Suppose -i - 4*y = i - j, -5*y + 19 = -3*i. Let v(m) = 2*m**2 + m**3 - 3*m + 7 + 0*m - 4. Give v(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*v**3 - v**2 - 5*v - 578*v**3 - 332*v**3.\nAnswer: -975*v**3 - v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = l - 5*o - 19, 2*o + 15 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 10) + 1 + 2. What is the second derivative of 2578*k**5 + 2*k - 2683*k**5 - s*k wrt k?\nAnswer: -2100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 + q. Let p(d) = d - 3 + 2*d - 3*d**3 - 2*d**2 - 4*d + 4. Give -4*k(t) - 2*p(t).\nAnswer: 2*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5790146, 11580290, 17370434?\nAnswer: 23160578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41499602.\nAnswer: 2, 479, 43319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5219736 plus 0.4?\nAnswer: -5219735.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1341311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 17*s**2 - 16*s + 6. What is m(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*843\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 76981077559.53.\nAnswer: 76981077555.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2459\/51 + -145\/3. Let h = -834 - -834.3095. Let f = -0.0095 + h. Which is the biggest value? (a) -3 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.7 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*o + 26, 4*t + 3*o - o - 2 = 0. Let w be (t + (-16)\/(-10))\/(12\/(-60)). Solve 2*s = 2*q + 6, -3*s + 2*s - w*q = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*w - 1, -4*w - h + 10 = h. Let g be (-20)\/(-3)*3*w. Let y(n) = -n**3 - n + 5. Let r be y(0). Calculate the highest common divisor of r and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - w)*(-53 + 4 - 40)*(2 - 1 + 13)*(0*w**3 - 5*w**3 + 4*w**3) - 3*w**2 + 3*w**4 - 2*w**4 + 4*w**2.\nAnswer: 2493*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -799728, -799748, -799780, -799824, -799880, -799948?\n\"Answer: -6*s**2 - 2*s - 799720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 14. What is n(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from vvvvbovovovln.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 1842671 = 684962. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1012 - 1215. What is the closest to 0 in 0.3, p, 1\/2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 2*o + 7 = -59. Calculate the greatest common divisor of o and 1542.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 64*k.\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/10, 4\/9, 2, 1.\nAnswer: 4\/9, 7\/10, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b - 279 = -67*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1550731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-33)\/9 + 2 + 2)*15. Suppose u*o - 2*w = 689, 324 = -4*o - 4*w + 892. What is the remainder when o is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2. Let c(z) = -z - 36. Let r be (64\/(-112))\/(1\/7). Let n(u) = -u - 38. Let a(f) = r*c(f) + 3*n(f). Calculate a(s(x)).\nAnswer: -2*x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1.24767\nAnswer: -1.74767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317179.\nAnswer: 317179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 452 + -416.4. Let g = -46.6 + n. Suppose 0 = -5*d + 5 - 0. Sort -6\/7, d, g, -2\/11 in descending order.\nAnswer: d, -2\/11, -6\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33, -32, -41, -66, -113, -188?\n\"Answer: -c**3 + c**2 + 5*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 116*q**2 - 601*q - 108. Let d be s(121). What is the greatest common divisor of 47 and d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1 + 0)*11. Suppose 2*h - 118 = 284. Let w = h - 124. What is the greatest common divisor of w and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/6 - 272455*w\/6 - 13951865.\nAnswer: -5*(w + 309)*(w + 54182)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -0.3, 5044, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**3 + 12*q**3 + 13*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/24 - (-40)\/12. Solve 2*c + 4*r = 4, 4*r - 14 = -5*c - j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(162) + (5*sqrt(4)\/sqrt(2))**2.\nAnswer: 9*sqrt(2) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1232\/462*(-2)\/(-4))\/(20\/(-54))\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, 49952 in increasing order.\nAnswer: -2, 2, 4, 49952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -592.9, 4, -0.35, 3?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-6 - -8) + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936 = -26*j, -3*r + j + 26 = -0*r - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53153 + -105?\nAnswer: 53044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49533, 99055, 148577?\n\"Answer: 49522*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3534 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 5*v. Suppose 2*g - 21 = -g. Let i be y(g). What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302030 (base 4) in base 2?\nAnswer: 10110010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-770)\/(-385)*(-3)\/3*13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*c - 26, n = -3*n - c - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46 - -4*(-1)\/2. Suppose -r*w + 82 = -50. Solve 22 = 2*j + 3*z, w*j = -2*z + 11 + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - c**2 + 2*c - 3. Let t be i(-3). Let w be (-22)\/(-18) - 8\/t. Let p = 1\/7 - 23\/63. What is the nearest to -1\/2 in w, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.15 (b) 1\/6 (c) 1.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4\/27, 2.69, 36, 0.5?\nAnswer: 2.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/143313 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114.2 - 114.11. What is the smallest value in -0.2, t, 34\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 4 - 4*i - 6 + 4*i**2. What is q(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 14. Suppose -8 = -0*c + c. Let v = c - u. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 - 12*u**2 - 3*u - 13. Let l be v(6). Round l to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r - 12, 9 = y - r. Let g be y\/3 - (-98)\/2. What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2547 - -2602. Which is smaller: 614\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:25 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39550 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15629.1 centimeters?\nAnswer: 156291000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and -9 + 5 - (-172 + 42)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(30\/(-35)) + -3. Let b be k + -4 + 7 + -5. Solve 5*n + f + 15 = n, 3*f + 5 = -b*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(0 + 8\/6). Let o be (3\/(-3))\/(-1) + 5. Suppose o + 2 = 2*x. Solve -4*i + h = -2*m - x, m + 3 = i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56596 + -4414609\/78. Calculate the common denominator of w and -63\/10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 33*f**3\/4 - 21*f**2\/4 = 0.\nAnswer: 0, 7\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 7*c**2 - 2*c - 7. Give b(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2173 - -23920\/11. Calculate the common denominator of -26\/5 and o.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (0 - (11 - (8 - -7)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -468, -1899, -4292, -7647, -11964?\n\"Answer: -481*b**2 + 12*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2168 - -2168. Does a = -11\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 1101 = -3*v - 1133, -v - x - 11 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.93 (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 1 j when three letters picked without replacement from dhjdxjp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + 4. Let s be r(5). Let m(a) = -a + 39 - s. Let b(v) be the third derivative of v**5\/30 - 2*v**2. Give m(b(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 - 2*p + 2. Let l be g(-2). Let t(n) = -n**2 + 4*n - 4. Let i be t(l). Let x be (6\/10)\/(i\/10). Put -0.1, x, 0 in decreasing order.\nAnswer: 0, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35033503, -35033506, -35033509, -35033512, -35033515?\n\"Answer: -3*w - 35033500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*4\/(-66) + (-143973)\/(-693). Let m = 208 - y. What is the third biggest value in m, 3, -0.04, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(204)*-3)\/sqrt(12).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11081 = 3*j - 2*r + 11143, 5*j + r = -86 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2110100?\nAnswer: 2110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/5 - 2*c**2\/5 - 18*c\/5 + 18\/5 = 0. Calculate c.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**2 - 33*m**2 - 18*m**2 - 7*m**2.\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 736271950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by 44.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 + 4) + 4. Suppose 5*m + 5*n - n = 36, k = -4*m + n + 12. Differentiate p**m - 13*p**4 - 10 + 0*p**4 wrt p.\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2454 - -0.0454. Let x = 2 - 4. What is the closest to m in x, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12252*h**2. Let q(u) = -134*u. Give b(q(f)).\nAnswer: 219996912*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 30 = 7*m. Let s(z) = -3*z - m*z - 2*z + 3*z. Let d(q) = 2*q. Give d(s(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636761.\nAnswer: 636761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {y: 4, q: 2, w: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/5)\/y))**21\/(y**(-1\/3))**(-37)*((((y**0\/y)\/y)\/y)**(43\/3))**40 assuming y is positive.\nAnswer: y**(-25229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 149688?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 1687816.9.\nAnswer: 1687821.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10397, -10332, -10223, -10070, -9873, -9632?\n\"Answer: 22*w**2 - w - 10418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50897.\nAnswer: 7, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:15 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36, -6, -5, 2 in decreasing order.\nAnswer: 2, 0, -5, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/2 + 411573745*m + 33878589514665005\/2.\nAnswer: 5*(m + 82314749)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 2, 4\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4, -4*y + 0*y + 12 = 2*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 15 + 29*t - 7)*(-34*t + 17*t**3 + 34*t) in the form u*t**2 + c*t**4 + b*t**3 + o + d*t and give c.\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0*c**5 + 0*c**3 - 1\/30*c**6 - 2*c + 0 + 0*c**4 - c**2. What is the first derivative of y(w) wrt w?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.5272 years in millennia?\nAnswer: 0.4165272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 98 = -5*x + 673, -x + 97 = -5*y. What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-s + 3*s - 3*s) + s + 0*s + 0*s - 3*s + 1 - 1 + (2 - 4 + 1)*(6*s - 2*s - 3*s) - 4*s + 0*s + s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/4, -1, -9, 2\/87, 0.2?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4) + 2*sqrt(4)))**2 + 2.\nAnswer: 35\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*y + 18 = -h, 3*y = 3*h + 3. Suppose 4 = x - 0. Suppose 5*j - x = 3*j. Sort j, h, 3 in increasing order.\nAnswer: h, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*b - 5*f, -4*f + 19 + 5 = 4*b. Suppose -40 = -3*k + 5*o, k + b*o = -3*k. Suppose -4*z = 4*r - 24, k*z + 5*r - r = 32. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(2\/3*-1). Suppose -y*o - o + 68 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 22*l - 100. Let o be d(-15). Solve -5*x - 2 = -2*h, -3*h + 8*h + 5*x - o = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j + 2. Suppose -3*g - 25 = -4*r + 7, j*r + 1 = -4*g. Suppose r*i - 3 = 4*y, -2*i - 3*y + 21 = 2*i. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 49 = 2*n, -5*w - 15 = -0*w. Suppose 140 = 4*u + u. Let a = n + u. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*m = -18 - 5, -5*m - 95 = -5*b. What is the least common multiple of 14 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(55)\/(sqrt(5) - sqrt(180)) + 3 + -1)**2.\nAnswer: -24*sqrt(11)\/5 + 666\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7) - (-558)\/(-217)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 6:52 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 472 = 633. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721 divided by -3211?\nAnswer: 1721\/3211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 7)*13\/26. Suppose 0 = -3*z + z + 6. Let i(y) = z - 3 - y. Calculate i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u + 26 = -43*u + 5*t, -u + t - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*w - 109, 5*w + 10 = -3*r - 167. Is w > -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -3\/7*y + 0*y**2 - 5 + 1\/7*y**3. Suppose p(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -5) + -2 - 2. Let q = 4 - v. Suppose -2*o + q*o - 72 = 0. Calculate the remainder when o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -7*w**3\/3 - 23*w**2\/2 + 25*w. Is j(-7) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 119?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3950 and 99225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2 - 4*t + 0*t + 4*t - 2*t - 230*t**2. Let h be u(-1). What is h rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*(sqrt(1300) + -2) - (sqrt(1300) + (2*sqrt(1300) - sqrt(1300)) + 1))*-4)**2*-2.\nAnswer: -1513088 + 84480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -13616 and 0.08.\nAnswer: -13615.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v - 45. Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1617 - -8086\/5. Let n = -0.3 + -0.7. Which is the third biggest value? (a) -0.5 (b) n (c) i (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 + 4*q. Let c be x(4). Let z = 3 - c. What is the second derivative of g**3 + g**4 + g - g**z wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130075936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24601, 24659, 24707, 24745?\n\"Answer: -5*b**2 + 73*b + 24533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**4*z - 8*o**4 + 766*o**3*z - 2*o**2*z - 5725*o*z wrt o?\nAnswer: 24*o*z - 192*o + 4596*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - l - 14*l**3 + 8 + 2*l**2 - 7 to the form t*l**2 + f*l**3 + k + p*l and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/12 - q**3\/3 + 3*q - 4. Let m(g) be the first derivative of y(g). Give m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 53*k. Let u(o) = 80647321 - 80647321 + 7950*o. What is -901*t(z) + 6*u(z)?\nAnswer: -53*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10 - 6 = 0. What is the units digit of p\/(-14) - 37\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t + 7. What is the remainder when 18 is divided by (-1)\/t - (5 + 310\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -w + 29984, -9*u - 59938 = -11*u + 4*w. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 0.1, 0.4, 89997\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, f: 1, h: 1, u: 1}. Give prob of picking 1 f and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -494064564 + 351850109. Let k(g) = 96114461*g**2 + 12*g + 6. Let s be k(-1). Let b = q + s. What is b rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2. Let k(u) = -u + 3. Let s(f) = 4*k(f) - 3*p(f). Calculate s(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - i + 8 = 0, -5*i + 12 = 2*t - i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-4 - (-260)\/56)*-2. What is the nearest to 0 in p, 0.2, -26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -134.2, 1.27, -5?\nAnswer: -134.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1089*f + 1335. What is the remainder when 509 is divided by s(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1402 - -15376\/11. What is the common denominator of -1 - (-2 - (-54)\/(-15)) and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*sqrt(70)*-2)\/(sqrt(1440) + -2*sqrt(1440)).\nAnswer: -2*sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-56)*4\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or 1422?\nAnswer: 1422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*v = -287. Calculate the common denominator of (v\/3)\/(39\/9 + -1) and -32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 - -0.1. Let w = -28290 + 28295. Which is the nearest to w? (a) d (b) -0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 47.1. Let n = 2.9 - h. What is the nearest to -1\/2 in 4, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951535.5g to milligrams.\nAnswer: 951535500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30572 divided by -7643\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13488394665+0.01436\nAnswer: -13488394664.98564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103646 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -187175 divided by 37435?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 18. Suppose -5*a + 1883 = 3*o, -z*o - 2*a + 1118 + 771 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -647.272869 + 645.887. Let w = 1.385 + z. What is w rounded to 5 dps?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39767 and 270465.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = f - 5, f + 2*f = -5*b + 15. Suppose -24 - 48 = -4*z. What is the remainder when z\/8*32\/8 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5419 + 5422. Let q = 32 - 23. Suppose -q*u + 6 = -x. Sort 5, -1, u in ascending order.\nAnswer: -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*f + 27 = -2*l, 2*l - 27 = -f. Suppose 3*v - m = l, m + 5 = -v - 2*m. Solve -v*y + 9*y + 4*w - 20 = 0, 5*w = -3*y + 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -33*(-1 - 0\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8026, -16191, -24352, -32509, -40662?\nAnswer: -48811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 4\/5 (c) 0.2 (d) 1 (e) 76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512976?\nAnswer: 2, 3, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c**3 + 4*c**3 - 4*c**3 - 1. Suppose -3*w + 2*f - 17 = 0, 5*w + f + 2915 - 2917 = 0. What is h(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/5 - 40732*y**2\/5 + 276284*y - 11732244\/5.\nAnswer: 4*(y - 10149)*(y - 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 - 64 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1326*j = -1276*j - 550 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, p: 2, g: 1, l: 10}. What is prob of sequence pge?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from hlhhlhllhhh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (4 + -1 - 7 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {m: 1, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.392193 and -0.2.\nAnswer: 0.2784386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Suppose 12 - 14 = 2*a. Is (a - d)\/(3\/69) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-4 - -3) - -1. Suppose d - c - 11 = 0. Suppose 0 = 4*k + 12 - 24. What is the greatest common factor of d and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481099804?\nAnswer: 2, 120274951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 173060544 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(135)\/sqrt(3))\/sqrt(5)) - sqrt(39)\/sqrt(3)*-1*-2.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.3. Let d = 5.41 + -0.41. Which is the closest to s? (a) -2\/15 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 1:15 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -655.675 + 645. What is a rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 928 and -16.8.\nAnswer: -15590.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10490 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)*a**(1\/3)*(a**(-2\/9)*a)**2 assuming a is positive.\nAnswer: a**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.7 in 78, -45, -48?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -170? (a) 1\/4 (b) 0.03 (c) -33 (d) 0 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 9*f - 147 = 0. Let z be 3*1 - (-14 - f). Calculate the least common multiple of (0 - 1)\/(z\/80) and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x**2 + 21*x**3 - 42*x**2 + 1.\nAnswer: 21*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (3 + -3 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25873403 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**5\/20 - l**4\/3 + l**3\/3 + 2*l**2 - 40*l. Let n(v) = -v**2 + v + 1. Give a(d) - 4*n(d).\nAnswer: -d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 230.4 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-17)*z\/(z*z**(-22))*(z**(7\/2))**(-38))**(-44) assuming z is positive.\nAnswer: z**5588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1371, -2\/23, 0.3, 4.\nAnswer: -2\/23, 0, 0.3, 4, 1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -6*v**2 + v - 3\/5*v**5 + 0*v**4 + 1\/210*v**7 + 0 + 0*v**3 + 2\/15*v**6. Find x such that r(x) = 0.\nAnswer: -18, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 689*s + 44424. What is u(-72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -62. Let j = 1 - 1. Which is the nearest to -0.1? (a) i (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*w = 1287*w + 651*w + 16104 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**3 + 0 - y**4 + 1 + 2*y**2 - 8*y**3 as k*y**4 + n*y + t + l*y**3 + g*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 42*j - 6390 = 0. What is j rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2754.762mg?\nAnswer: 0.002754762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2731\/2280 - 71\/60. Calculate the common denominator of s and 99\/760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-63) + ((-44)\/(-12) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.306 + 0.27. Let u = 0.364 - j. Let h be (1\/(-4))\/(-2 + 1). What is the nearest to h in 5, u, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21632170886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b1 + 4?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 1. Let k be -3*(-5)\/15*1. Let w(d) = d**3 + d. Let s be -1*3*2\/6. Let o(i) = k*l(i) + s*w(i). What is the derivative of o(x) wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4365782, -4365780, -4365778?\n\"Answer: 2*h - 4365784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41066943 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or 9206?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 + 15 = 0. Let a(m) = 8*m + 60. Let k(y) = -8*y - 59. Let n(c) = f*k(c) + 5*a(c). Let o be n(-7). Solve 0 = o*q + 2*q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 8*r - 12 = 0. Suppose -526 = -r*u + i, -u - 2*i = -47 - 206. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*n + 9 + 3, -11 = 5*n + 3*d. Let i(r) = -31 + 30 + 7*r**3 + 10*r**3 - r**2 + 0*r - 2*r. Calculate i(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 296*j. Let d(c) = -49*c + 26*c + 2 + 21*c - 2. Determine d(b(y)).\nAnswer: -592*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/2244*(-48)\/18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560 - 6*n - 549 + 1109.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 10*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4409984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 18*j**2 + 16*j + 10. Let i(n) = -n**3 - 2*n**2 - n + 5. Let v be i(-3). Calculate x(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, m: 10}. Give prob of sequence tttm.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103042550419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 775 + -503. List the prime factors of (-7)\/((-42)\/12) + m.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/12))**(1\/27) assuming b is positive.\nAnswer: b**(-1\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7903 is divided by 2633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 22, 29, 50, 91, 158, 257, 394?\n\"Answer: g**3 - 2*g**2 - 2*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2359 - -2376. Solve -2*g + 4*u + k = 7, -5*g + 5*u + 10 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(2*v - 4*v + 3*v) + (-v**2 + 4*v**2 - 5*v**2)*(-3 + 2 + 2) + 63*v + 4*v**2 - 63*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 19. Let r be l(-12). Put 1, r, -0.1, -2\/13 in ascending order.\nAnswer: r, -2\/13, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 270*s**2 - s + 1. Let a be i(1). Suppose 0 = -3*r - 3*t + a, -5*t + 115 + 157 = 3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*d - 66*d + 7476 - 22056 = 0 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o - 88 = 484 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 288.98 litres?\nAnswer: 288980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 47 = -5*t. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -185a + -36?\nAnswer: -1891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + -4) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98012 and 664.\nAnswer: 16269992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(243) + 0 + 4 - sqrt(243)))**2 + 0.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.07, 0.7, 110, -0.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/7)*m)\/m)\/(m\/((m\/m**(3\/7))\/m)))\/(m**(-1\/10)*m\/m**(-1\/2)*m)*((m*m\/(m**0\/m))\/(m**(3\/7)*m*m))**(-27) assuming m is positive.\nAnswer: m**(-664\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, -39\/35.\nAnswer: -5, -3, -2, -39\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69245031?\nAnswer: 3, 23081677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -558.5 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37913 * -417.\nAnswer: 15809721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9 - 1 = 0. Suppose -3*l + 2*l = 4*d - 12, -12 = -4*d - 2*l. Suppose -110 = -4*t - 10. Solve t = 5*h - 5*c, -h + d = c - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8985, -8993, -8999, -8997, -8981, -8945, -8883, -8789?\nAnswer: -8657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 9*t - 14*t + 3*y + 57 = -y, -13*y + 39 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208987215 a multiple of 795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156.95 - -157. Which is the third smallest value? (a) -3\/2 (b) 4 (c) x (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1645612, -3291189, -4936766?\n\"Answer: -1645577*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -44. What is the smallest common multiple of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37033649 is divided by 5150?\nAnswer: 5149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106\/315 - 4\/35. Let d = h + -29\/90. Let x = 0.385 - -0.015. Which is the second biggest value? (a) d (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114376393\/6360 - -89919\/5. What is the common denominator of -29\/3392 and r?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 8*q - 6*q. Let a = q + 39. Let j = -1 + 5. Solve -j*x - a = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 860123.24681 - -10.75319. Let l = 860133.3899824 - v. Let w = l + 0.61. What is w rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -202*a + 65. Let k be c(3). Let v = 541 + k. Which is smaller: 1\/767 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 - 6*j**2 + 6*j**2 - 3*j + 3*j - 5*j**4 + (-1 + 0 + 0)*(0*j**3 + 0*j**3 + 2*j**4) + 11*j - 5*j**2 - 11*j - 2*j**4.\nAnswer: -12*j**4 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1986*c**3*s - 497713*c**3*u - c**3 + 50*c**2*s*u**3 + 2*c**2*s - c*s + 246*s wrt u?\nAnswer: -497713*c**3 + 150*c**2*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178930933.\nAnswer: 17, 10525349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Suppose -a = -3*v - 8, 0 = a + 3*a - m*v - 72. Let u = -18 + a. Solve i = u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2. Let p(b) = -b - b + 9 - 23. Let c be p(-7). Let i(j) = 5*j + c*j - 7*j. Determine i(g(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-795483)\/(-3) + -3*(-2)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -11*q**4\/2 - 23*q**3 - 35*q**2 - q - 107. What is the second derivative of m(v) wrt v?\nAnswer: -132*v - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -11100111101?\nAnswer: 11101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1849*c - 13721 = -5790*c - 57072 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 0*u - 8. Suppose 97 = 5*t - 3. Suppose -t = -4*b, 5*y + b = -b + 15. Calculate the smallest common multiple of u and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 391 + -8213\/21. Let v = -8.587 - -9.087. Put z, v, 0, 3 in increasing order.\nAnswer: z, 0, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/1704 and -129\/3500.\nAnswer: 1491000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4904992 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.41, 2\/5, -36.5, -1 in decreasing order.\nAnswer: 0.41, 2\/5, -0.4, -1, -36.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejaaejejaq. Give prob of picking 1 a, 1 e, and 1 j.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.22 + -0.22. Let x = m - 42. Let j be (-52)\/96 + (-1)\/(-6). What is the closest to 1 in -3, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-5 - -2) + 0 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7648 = 3590. Suppose -4*f = z - 1955. Let v = f - -18341\/20. What is the common denominator of -103\/18 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g - 4*g)*(1 - 14 + 1).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (-74 - -39) - (0 + (-104)\/(2*-1)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 446.57 - 442. Let d = x + -0.07. Let u = -1.5 + d. Which is the nearest to -0.1? (a) -2\/5 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1358818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:35 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 428*v - 213*v + 484*v + 699 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 5*t - 4. Let j be q(-3). Suppose y = -j*f - 16 + 79, 228 = 4*y + 2*f. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 9*u**2 - 26*u + 38. Calculate v(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Solve -3*j + 21 = 3*t, -2*t + 0*t - 5*j + 23 = g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 28. Which is the closest to -2? (a) -4 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = 3*x + 2*w, 22 = -3*w + 7. Suppose -2*c + o = -221 - x, 0 = -2*c + 5*o + 393. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1, 4, -4 in descending order.\nAnswer: 17, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.182 + -2.782. Let w = -0.1 - 0.9. Put w, -2, y, 8\/7 in ascending order.\nAnswer: -2, w, y, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1267 (base 13) to base 5\nAnswer: 40440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -435616\/7 + 62720. Let f be (-6)\/(-18) + (-332246)\/672. Let u = f + z. Find the common denominator of -47\/20 and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170561294?\nAnswer: 2, 709, 120283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 17. Let u be (0 + -3)*(-20)\/b. Solve 5 = -3*x - u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 6 - 5*x**2 + 4*x**2 + 1 + 2*x**2. Let p(a) = -a**3 - 13*a**2 - 23*a - 6. Let z(g) = g - 8. Let v be z(-3). Let l be p(v). Calculate i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i*w**3 + 2947*i*w**2 + 4*i*w + 5*i - 196 wrt w?\nAnswer: -54*i*w + 5894*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -21 (b) -3 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2769891679231 - y + 2769891679231.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -47\/76, 2\/1481?\nAnswer: -47\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18750432 is divided by 50952.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 269*s**3 + s**2\/2 - 523*s + 479. What is the second derivative of j(b) wrt b?\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29863762605 minus 0.17?\nAnswer: -29863762605.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -13, -4, 3, 0 in descending order.\nAnswer: 3, 1, 0, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541514877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {w: 2, k: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 4. Is ((-12898)\/(-4))\/(w\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c79a (base 15) to base 12.\nAnswer: 20524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 44\/5 + 178\/5*n**3 + 62\/5*n - 14\/5*n**4 - 54*n**2 = 0. Calculate n.\nAnswer: -2\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29459585119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*u)*(-2 + 2 - u) + u**2 + 0*u**2 - 7*u**2 + (-u**2 + 0*u**2 + 0*u**2)*(1 - 5 + 3) to b + r*u + a*u**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 3. Let v(s) = -4*s - 3. What is the units digit of v(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(((s*s**(-12))\/s)\/s)\/s)\/s)\/s)**(-2\/35) assuming s is positive.\nAnswer: s**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {l: 2, n: 7, i: 1, g: 5, k: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.90485nm to micrometers.\nAnswer: 0.04190485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 7*a**2 + 4*a - 8. Let n be y(-6). Suppose -n*p + 6*p = 22. Let j(i) = 4*i + 7. Let q be j(1). Calculate the greatest common factor of q and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.079065 + 70229.920935. Let u = -70229.23063 + y. Let a = u + -0.77. Round a to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 9*p - 15. Let q be n(-11). Suppose 3*s - 4 = q*s. Let f(t) = -t**2 - t + 3. Let r be f(-3). Is s >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 11*z + z**2 + 8*z + 4*z as i*z**3 + p*z**2 + r*z + y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.7 + -17.8. Which is the closest to 1? (a) n (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1.07?\nAnswer: 3.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4.18 (b) -1 (c) -2 (d) -3 (e) 0.2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 2\/35.\nAnswer: 0, 2\/35, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.946 plus 609584?\nAnswer: 609577.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 99*u**2 + 4.\nAnswer: 99*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 11. Let o(w) be the first derivative of 2*w**2 - 51. Determine o(v(z)).\nAnswer: -4*z - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (-2 + 3 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5737779 and -0.027.\nAnswer: 154920.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 655, 981?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3487229 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86 times -42.4203?\nAnswer: -36.481458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 309 = 3*q, -4*v + 6 = -2*q - 416. Let i(y) = 3*y - 12. Let j be i(8). Calculate the greatest common factor of v and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -41*z + 7. Let a be v(-4). What is the highest common factor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i + 3012 = -250*i - 810 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {d: 1, r: 4, e: 6, g: 4, h: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s + 3. Suppose 2*j - c - 5 = 5, c = 0. Let y(z) = z**3 + 4*z**2 - 2*z - 3. Calculate the remainder when x(j) is divided by y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 5:17 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 6. Let c be h(3). Which is smaller: c or 7\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*w + 213 - 210, 3 = v + 3*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*v**4\/4 - 27*v**3\/4 + 4*v**2 + 9*v - 8.\nAnswer: (v - 2)**2*(v - 1)*(7*v + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-5))\/((-14)\/10). Which is the third biggest value? (a) 0.5 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322232 (base 8) in base 11?\nAnswer: 73996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13334950, -13334948, -13334946, -13334944?\n\"Answer: 2*c - 13334952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117011055 at most as big as 117011055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 400.525 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 14*x - 13 = 13*x, 10 = 2*s + 2*x. What is the second biggest value in s, -4\/5, -12, 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.00024965 + -27. What is w rounded to 6 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-120)*8 - (-2)\/(-3). Let y be -1 + 0 - 20\/(-14). Sort y, -2, h in increasing order.\nAnswer: -2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 3. Let o(q) = q**2 - 2*q - 2. Let i = -4 - -1. Let c(r) = i*o(r) - 2*f(r). Find the second derivative of c(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 + 0)\/(38 - 40) - 3. Solve 2*f = u*h, -h + 0*h = 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -2\/3*c**3 + 0*c**5 + 0*c**6 - 2\/105*c**7 + 0*c**4 + 0*c + 0 - 3*c**2. Differentiate b(s) with respect to s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + (2 + -4 - (-1074 - -1035))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -12.7. Let b = -13 + 13.1. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -30, -48, -68, -90?\n\"Answer: -q**2 - 13*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*d**3 + 7*d**2 - 95*d - 2009535 wrt d?\nAnswer: 42*d**2 + 14*d - 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1059211 - -1059231. Let b = 82 + -10. Calculate the remainder when b is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 68002, 136013, 204024, 272035?\n\"Answer: 68011*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*y + 12, -2 = -5*x + y + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 + 4*x**2 - 5*x + 8. Let l(n) = -n**3 + n - 1. Let z(h) = -a(h) - 6*l(h). What is z(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*f = -69, -12 = -4*f + 7*f. Let j = n - -24. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370656726 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -31*j**2 + 2*j. Let v(i) be the first derivative of -i**6\/180 - 5*i**3\/3 + 33. Let c(m) be the third derivative of v(m). What is f(c(g))?\nAnswer: -124*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - -44. Suppose -x - 3*x = -m. Suppose f = x - 1. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*q + 3662 = 3660, 381*o - 5*q = 386 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 5*p + 5 = -g, -3*g + 3*p - 21 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 153, -1709, 0, 0.4?\nAnswer: -1709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -8395\/27524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1867 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*x - 4*i, 0 = -4*x + 2*x + i + 29. Solve 24 = 4*l + 4*o, 3*o = 3*l + 2*o - x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175\/9 or -0.1?\nAnswer: -175\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2460)\/(-3)*338\/(-52). Suppose 0 = -2*r - 0*r + 12. Is (-48)\/36 - a\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -741 - -529. Let l be (0 - 4)*w\/8. Let u = l - 24. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1537 + 46*a**2 - 1542 - 47*a**2 + 3079.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 0 + 24. What is the common denominator of -53\/48 and (-218)\/5*1\/u?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1764*a + 901*a + 647*a to o*a + c and give o.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.01, 25.4.\nAnswer: -5, -0.01, 25.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 31313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -887761*r. Let q(j) = 62*j**2. What is w(q(t))?\nAnswer: -55041182*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2, 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64\/(-80)*(-660 + 5). Is 524 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 39298 in decreasing order.\nAnswer: 39298, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4429, 2218, -1455, -6578, -13139, -21126, -30527, -41330?\nAnswer: -53523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 7. Let n(g) = 5*g + 1 - 11 - 6*g. Let r = -5 + 10. Give r*n(f) - 7*p(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 82*b**5\/5 + b**4\/4 + 225*b - 262. Differentiate u(v) with respect to v.\nAnswer: 328*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 135 = -2*p. Suppose 12 = -25*f + p*f. Suppose f*w + 240 = 10*w. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -91 + 8b?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-4))\/(3 + (-26)\/8). Let q be 4*2\/(-4)*b. Is 1 - (-472 - (2 - -2)) - q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 2438*y - 2441. Determine d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354788849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 - 28. Let z(s) = 2*s**2 - 13*s - 45. Let t be z(-5). Let o = j - t. What is the remainder when 75 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8620 + -34485\/4. Let i = 200\/309 + 2\/103. What is the closest to i in n, -3.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -176\/91?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (1 - (2 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - 1) + 40 + 1 + -4 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (-50 - -32) - (-4 + 5 - 3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 234*t + 762. Let m be c(-3). Sort -2, -5, 5, 1, m in increasing order.\nAnswer: -5, -2, 1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r - 10. Let m be x(8). Let b = -29 + m. Suppose -33 = -5*n + b. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.5 times -304894?\nAnswer: -35520151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 11\/2)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 35.8. Let i be ((-4)\/(-2))\/(12\/18). What is the nearest to -2 in -0.1, q, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 3*t. Let d be -2*(-5)\/15*-3. What is the remainder when 7 is divided by a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 12 - 736*w - 5 + 134*w.\nAnswer: -602*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 19 + -3 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**(-2\/29)))\/k)\/(k*k**(-1\/4))*k**(-8)\/(k\/(k\/(k\/(k*k\/((k**(1\/12)\/k)\/k))))*k))**(10\/3))**(1\/14) assuming k is positive.\nAnswer: k**(-6875\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340 or -339?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13224 is divided by 252.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 29 = m + l, -2 = 2*l. Let y = 67 - m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.3 + -6. Suppose 0 = -5*v - 4 - 6. Let u be (-1)\/1*v + (-20)\/9. Which is the second biggest value? (a) u (b) 1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 9\/2*j**2 + 0 - 1\/6*j**3 - 24*j. Let t = 5 - -1. What is d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - f - 63, -3*k + 5*f + 31 + 29 = 0. Suppose d = 6*d + k. What is the nearest to 2\/7 in -5\/4, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.665 rounded to 0 dps?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 743669220 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbye when four letters picked without replacement from ebyyyeejfbybee?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 214*m**2 + m**3 - 4*m + m - 109*m**2 + 1 - 107*m**2 to v*m**3 + b + t*m**2 + o*m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.73 - -0.23. What is the nearest to -3 in 0.1, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/1 - 0\/3. Sort -3, 3, f.\nAnswer: f, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 4, g: 3, u: 2, j: 1}. What is prob of sequence jg?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 471*o**2 - 1 - 897*o**2 - 821*o**2.\nAnswer: -1247*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -680934, -680931, -680928, -680925?\n\"Answer: 3*d - 680937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 98 = 3*f + i, i = 2*f - 56. Let a(p) = 29*p**2 + f*p**2 - 61*p**2. Let c(j) = 2*j**2 - 5*j**2 + 2*j**2. Give a(c(m)).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1257 + -1258.062. What is n rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 30*g**2 + 28*g + 138. Let q be a(19). What are the prime factors of 1\/(q\/34410 + (-2)\/6)?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13912*0.3\nAnswer: -4173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782808511.\nAnswer: 3, 7, 43, 3081737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003237 to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-168)\/16*(-2)\/(-1)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**3\/3 - v**2\/2 - v + 3. Let d(r) = -r**3 + 5*r**2 + 3*r + 4. Let y(q) = -d(q) - 4*u(q). What is y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3538934.23 to the nearest 100.\nAnswer: 3538900","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + f - 230, -2*c + 0*f - f - 85 = 0. Let m be 1 - 2 - (c - -3). Suppose 4 = 5*n - m. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 4*t - t - 11*t - 41.\nAnswer: -13*t - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/(-300)*(-2 - 27\/(-6)). What is the nearest to 1 in 3, 3\/2, b?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 6, 0 = -3*y + 4*x + 642 + 54. Is y greater than or equal to 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 = 3*h, 4*h - 4*f + 9 = -3. Suppose 6 + 6 = h*d. Solve 4*s - r + 14 = r, -s = -3*r + d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (-2 + sqrt(5) + -2)) + sqrt(5) + sqrt(5) - sqrt(25)\/sqrt(320))*5.\nAnswer: 20 + 75*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3660\/740 + 8\/148. Put -1, 2, z, 1 in decreasing order.\nAnswer: z, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5652 - (-1 - (-3 + 1))) + 1. Suppose -u = -3*w - 6*w. What are the prime factors of w?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 0 + 0)*(2*l + 0*l - 3*l) + 18*l + 94022*l**4 - 94022*l**4 - 4*l**5.\nAnswer: -5*l**5 + 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-102)\/(-4))\/(12\/32). What is the second derivative of -5*o**4 - f*o - 5*o + 78*o**4 wrt o?\nAnswer: 876*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 1. Let s be (-6)\/36 - 1\/f. Let q be ((-4)\/15)\/((-2)\/5). Is s less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.4, -4\/3, 0.67, -2\/7, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 139, 125, 113?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1322707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-173*l**2 - 171*l**2 + 361*l**2)*(0 + 0 - 3*l**2) in the form u*l**3 + n*l + r*l**4 + w + i*l**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241814 (base 10) to base 9.\nAnswer: 407632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2486?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.056 + -8.256. Let u = -0.77 - 9.43. Let m = u - g. What is the closest to m in 0.5, 0.02, 3\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -521 divided by -521\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 12. Let x(p) = 7*p - 3*p - 35 + 2*p. Let c(y) = 17*g(y) - 6*x(y). Let o be c(5). Put 0, 2\/11, o in decreasing order.\nAnswer: 2\/11, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Suppose 2*n + 4*z = -0*n + 1476, 5*n = -z + 3708. Let v = -737 + n. Solve -j*w + 3*h = -0*w - 18, v*h + 8 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from vcgcvcjvvvclcclccv?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Suppose -l = 3*v + 5. Let d(j) = j**3 - 2*j - 3. Calculate d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 119 - v**3 - 59 as l*v + x*v**3 + g*v**2 + s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drl when three letters picked without replacement from {e: 1, r: 1, d: 1, l: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 - -b7?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10\/3323 - -408629\/33230. Find the common denominator of 93\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.092898 - 0.9.\nAnswer: -0.992898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 2*k + 3*k. Let t(b) = -b**2 - 2*b. Let w(l) = 11*l**2 - 8*l. Let h(x) = -4*t(x) + w(x). Calculate r(h(m)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 327237214033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005887 rounded to seven decimal places?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**2 + 15*l + 4. Let n be o(0). Solve 2*q = -5*v - n, -2*v - 18 = -4*v + 4*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4761 + -4761. Which is the fourth biggest value? (a) 5 (b) t (c) -1 (d) 0.3 (e) 92\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 75 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7)*-2) + -3*(sqrt(68)\/sqrt(4))**2.\nAnswer: -51 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*z - 985, -3*z - 2759 + 7735 = 5*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29704 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.1966154 to 2 dps.\nAnswer: 39.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.29488049 to 2 decimal places.\nAnswer: 69.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150.1002543 - -150.1. What is a rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a week?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -71 - (4 - -1 - -5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3))\/(1\/(-6)). Suppose -2*w = -b - 0. Let r(o) = -o**3 + 3*o**2 + 5*o - 4. Calculate r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 10*b - 5. Let y = -2 + 9. What is the remainder when x(5) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101110 (base 2) in base 4?\nAnswer: -2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omcmoxoxhxomcxmxho. What is prob of sequence om?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 10*z**2 - 10*z + 11. Let u be o(11). Suppose -7*r = -y - 2*r + u, -y + 2 = 5*r. Let m = 12 - y. Which is smaller: m or 2\/29?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50482015 is divided by 16369.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**6\/6 + 5*n**5 + 89*n**4\/4 + 107*n**3\/3 + 21*n**2 + 462. Determine d, given that c(d) = 0.\nAnswer: -21, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*8794288.\nAnswer: -2638286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + n**2 + 3 + n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 501033 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 45 = -2*w - 3*w, 2*w - 4*v - 30 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l**3 - 7*l + 2. Let h(f) = -7*f**3 + 4*f - 1. What is -7*h(w) - 4*n(w)?\nAnswer: -7*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 25606470.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7316 and 197161.3.\nAnswer: 197162.0316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 5*s + 13. Calculate the remainder when 41 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:57 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9545 + 0.0455. What is the nearest to w in 2\/3, -14, 0.1, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*l - 10 = 70, 0 = -3*l - 3. Suppose 5*p + 73 = 3*a, a - i = -0*a + 5*p. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + (3 - (-14 - -15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuhhuhqhqhuhuq. Give prob of sequence yh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 147341175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**3 + l**2 + l. Let z(p) = -p**3 + 22*p**2 + 70*p + 171. Calculate the least common multiple of n(-1) and z(25).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - -9.1. Let z = -5 - u. Which is the smallest value? (a) -2 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/150*4110\/13563.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 365492?\nAnswer: -365484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i - 1. Let k be b(1). What is the units digit of k + 4\/(-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)\/(d**15*d) assuming d is positive.\nAnswer: d**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152400 and 2032.\nAnswer: 152400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28342 is divided by 692.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) - (-30)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (804\/(-469))\/(170\/(-35))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/((k*k**(-8\/17))\/k))\/((k**(1\/16)*k)\/(k**41*k)) assuming k is positive.\nAnswer: k**(11331\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(95) - (-1*sqrt(95)*3 + sqrt(95))) + sqrt(95))\/(sqrt(245)*-1) + (-2*sqrt(5472) + sqrt(5472))\/(sqrt(128)\/sqrt(4))*-2)**2.\nAnswer: 40204\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = j + 2*t, 3*t + 9 = -4*j. Suppose j = -0*r - 2*r + 24. What are the prime factors of ((-2)\/3)\/((-2)\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**15)**(2\/21)\/(q**9*q*q**29))**(6\/17) assuming q is positive.\nAnswer: q**(-1578\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49651228983628 + 49651200261269.399903. Let h = -28722346 - c. Let j = h - 12.6. What is j rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06187948 rounded to 3 decimal places?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 272778626 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11658671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = 3*n + 4, -3*n + 2*w - 10 = 0. Let t be 0 - (n - -3)\/(-1). Find the first derivative of k**3 + k**3 - t + 1 wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 7:44 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 7\/27*d**6 - 2\/9*d**4 + 0*d**3 + 0*d + 0*d**2 + 72 + 8\/15*d**5. Determine m, given that g(m) = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwkwwwwkkkww. Give prob of picking 3 k.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose -l*o = 2*o. Find the third derivative of o*y**3 - 3*y**3 + 2*y**3 + 3*y**2 + 0*y**3 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1252 * -1.3.\nAnswer: 1627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 26*v = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 16)*1\/3. Suppose -k + 5 = n*k. Let f(v) = 120*v - 1. Is f(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-6 + 9 + 27)*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z. Let l(o) = -o. Let j(q) = 2*l(q) - 5*s(q). Let f(y) = -4*y. What is f(j(c))?\nAnswer: -132*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18186 - 21689 = -25*m. Let f = m + -1107. List the prime factors of f.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a**2*f**2 + a**2*f + a**2 - 54*a*f**2 + 16*a - 32 wrt f?\nAnswer: -12*a**2*f + a**2 - 108*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4)*(6*l - 3*l - 4*l) + 0*l - l + 0*l + (-1 - 1 + 0)*(0*l - 4*l + 2*l) + 4*l - 4*l - l + 4*l + 1 - 1 in the form q*l + a and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*p**4 - 82*p**4 + 20*p**2 - 6*p + 161*p**4 - 6*p + 27*p**3.\nAnswer: -p*(p - 6)*(p + 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/3 + 27937976*f**3\/3 + 111751928*f**2\/3 + 111751936*f\/3 = 0 for f.\nAnswer: -2, 0, 13968992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 63*v + 10*v**4 + 63*v + (-4*v**3 - 4 + 4)*(-6*v + 2*v + 2*v) to b*v**3 + t*v + i + z*v**2 + h*v**4 and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 770 and 13945390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k + 300. Calculate l(-12).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 9 = 0. Suppose -34 = 5*s - v. Is 12\/(-30) - 32\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:27 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-44)\/1078 + (-22)\/21 + 1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**4 + s**3 - 11*s - 9*s**3 - 4*s**4 + 14*s in the form q*s + z*s**4 + p*s**3 + f + v*s**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(240)\/(-2*sqrt(8)))\/(sqrt(24)\/(sqrt(4)*-1)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*2*(-3 + sqrt(98)*-2 + 2) + -3)**2.\nAnswer: 1512*sqrt(2) + 14193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -12*y + 21. Let g = 41 + -38. Which is the closest to g? (a) 0.4 (b) 6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -321.95 - -332. Let c = y + -9.2. What is c rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17335?\nAnswer: 5, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 + 5*h - 10. Let o be f(-7). Let t be o\/(12\/(-15)) + 0. Is -5 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*u**2 + (-4*u**2 + 0*u**2 + u**2)*(2 - 2 - 1).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 2. Let m be q(2). Let g(c) = -4*c - 1. Let a(t) = -4*t - 1. Let d(k) = -a(k) + 2*g(k). Give d(m).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108517832971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/37 (b) 2 (c) 1.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50281 + -50278. Let c = -205\/3906 - 2\/651. What is the nearest to 1 in c, s, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*l = 184, -4*l + 5*l + 90 = 2*h. Suppose 0 = i + h - 39. Sort -4, 0, -2, i in descending order.\nAnswer: 0, -2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, and 2 c when four letters picked without replacement from {s: 3, j: 2, x: 4, c: 6}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n**4 - 32*n**3 + 59*n**2 + 15*n - 90. Let h(v) = -23*v**4 + 97*v**3 - 179*v**2 - 45*v + 270. Let c(k) = 8*g(k) + 3*h(k). Factor c(f).\nAnswer: -5*(f - 3)**2*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88924 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310 and 2263?\nAnswer: 22630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a. Let n(l) be the first derivative of -5*l**2\/2 + 2. Let z = -2 + -2. Let x be 19\/(-6) - 23\/(-138). Calculate x*y(b) + z*n(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -287, -642, -1139, -1778?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -243*c + 47. Let q be z(-6). Suppose q = 3*j + 2*j. List the prime factors of j.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 87. Suppose 7 = 4*w - k. Suppose -w*d + 124 = -1082. What is the remainder when d is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*12\/12366*(88\/220 - 22\/(-20)).\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:57 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231496346.\nAnswer: 2, 37, 3128329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*z = -23, -3*b - 8 = z - 3. Let a be ((-3)\/(-6) - 0)*0. Sort a, 5, b in descending order.\nAnswer: 5, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*g - 1 + 1)*(-2 + 0 + 3) + 0*g + 13*g - 2*g)*(-6*g - 1 + 1) to t + p*g + l*g**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**3\/3 + 171. Let w(t) be the third derivative of 0*t**3 + 0*t**4 + 19\/60*t**5 + 7*t**2 + 0*t + 0. What is w(b(q))?\nAnswer: 19*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 22*f**3 - 19*f**3 - 12*f**2 - 14*f**3 + 12*f**2 in the form j + u*f**3 + h*f**2 + y*f and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -8. Which is the nearest to 1? (a) -4 (b) 10 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 2*q**3 - 17*q**3 - 2 with respect to q.\nAnswer: -57*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -35*(-7 - (-184)\/28). Solve -9*z = -6*z + a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 6 = 2*s, -3*i + 42 + 3 = -9*s for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.67 + -4.6. Let j = -142 - -141.67. Let w = j - x. What is the smallest value in -10\/7, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55078.20388 minus -1.7?\nAnswer: -55076.50388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*h + 323 = 631. Solve -2*t + 4*n + 16 = -6*t, 4*n = -h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*(o\/(o\/(o\/(o*o**(1\/6)))*o*o*o))\/o*o)*o**(-18)*o*o**(-1\/13)*o**(5\/8) assuming o is positive.\nAnswer: o**(-4145\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -23*f - 17. Let r be z(-4). Suppose -s = k - r, s - 50 = -4*k + 8*k. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 3*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92 - -19) + 70 + -49?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*x, -2*x - 1 = -4*l + 3. What is the units digit of 37*(-1 + l + -3 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1847\/56 + 286\/7. What is the common denominator of 26\/(-90) - (-2)\/5 and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782847 is divided by 1447.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1216 or 1211?\nAnswer: 1216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let h(o) = 7*o + 7. Let t(c) = -3*c - 3. Let b(j) = 2*h(j) + 5*t(j). Let u be b(-3). Solve 2*i = -y*s - 4, -u*i - s - 7 = -0*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 274*c**2. Let m(k) = -23 - 17 - 22*k + 24*k + 40. Give v(m(i)).\nAnswer: 1096*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 2\/7 (c) -8 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 46.7. Which is the closest to 0? (a) -31 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**2 + 0*z**3 + 0 - 2*z - 7\/12*z**4. Let x(u) be the second derivative of -u**4\/6 + 5*u. What is c(x(t))?\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbbbb. What is prob of sequence bbh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -i - p - 2, -2*p = 3*i - 12. Solve -3*c - 20 = -3*z - 5, i*c + z + 4 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = d + 4. Let z be (d\/(-8))\/(2\/4). Let a be z + 4 + -2 - -3. Solve a*i + 7 = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1324. Let c(r) = 19*r + 1. Calculate m(c(u)).\nAnswer: -19*u - 1325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s**4\/19 + 7882*s**3\/19 - 368232*s**2\/19 + 17998*s\/19 + 968 = 0 for s.\nAnswer: -1\/5, 1\/4, 76, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502578312 to the nearest integer?\nAnswer: 22418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5)*o)\/(o*o**(-11)))\/(o*o**(-3\/4)*o**(-7)\/o) assuming o is positive.\nAnswer: o**(363\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39740 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 - c**3 + 4 - 2*c + 1 + 2*c**3 + 7*c. Let q be v(5). Suppose 0 = 5*i + 15, 0 = -z + 2*z - q*i - 110. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450993.\nAnswer: 3, 17, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-93 - ((25 - 8) + 2) - 4)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1228 = 5*v - 4*n, -5*n = v - 8*n - 250. Suppose -14 + v = 10*q. Calculate the remainder when (-7)\/((-21)\/270) + -1 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3865918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 559 divide 9753896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/22 - (580181140806\/2456)\/3. Let d = -78743373 - q. Let n = d + 6\/307. Calculate the common denominator of 71\/4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59.7 - 60. What is the nearest to 0.1 in -2, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19931685 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -937 + 963. Sort -3, 3, o.\nAnswer: -3, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5702893 decades?\nAnswer: 0.005702893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(16\/(-96))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -218 - -236 - (7 + -28)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668547?\nAnswer: 47, 131, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859205186?\nAnswer: 2, 7, 67, 199, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.539 to two decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*11 + (3 - 5). Let l = y + 233. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28623253 to three decimal places.\nAnswer: -0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m + f - 115 = 0, 2*f = -10. Let w = m + 32. Suppose w*p + 5*r = 11, -3*p + r + 22 = 3*r. Calculate the least common multiple of 22 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 6*q - q. Calculate the least common multiple of 39 and q.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-11 - -10) + 4 + 51?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 29*j**3 - 2*j**2 - 2*j + 33. Let h(w) = 58*w**3 - 5*w**2 - 5*w + 71. Determine 5*g(m) - 2*h(m).\nAnswer: 29*m**3 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/((-2990)\/(-166842)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.2492. Round z to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 928107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/8 + p**3\/2 + p**2\/2 + 2. Let d(c) be the second derivative of s(c). What is the derivative of d(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1300 - -1300.0000681. Round z to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 17*h - 140. Let w be 3 - (3 + -1)\/((-10)\/h). Solve 4*j - w = -5*r, -2*r - 19 = -7*j + 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6221 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77206, 77199, 77186, 77167?\n\"Answer: -3*b**2 + 2*b + 77207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = w - 3*c, 5*w + 5*c - 3*c = -15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5719, 45749, 154423, 366073, 715031, 1235629, 1962199, 2929073?\n\"Answer: 5722*n**3 - 10*n**2 + 6*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 - 7) + 6)\/1. Solve 4*i + y + 17 = x, -y = -0 + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 3*k**8\/560 - k**4\/4 + 5*k**3\/6 + 4*k. Let u(o) be the second derivative of y(o). Find the first derivative of u(f) wrt f.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.576 and 1321?\nAnswer: 11328.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*x + 6*x = 45, -5*j - 2*x = -243. Suppose 3*n = -2*q - 28, 4*n + 7*q = 2*q - j. Let s = 151 + n. Calculate the greatest common factor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -479992527 or -479992528?\nAnswer: -479992528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112268 + 105754 = 21*v. Let a = 14965 - v. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3569 + -1417. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3540\/(-4543))\/(108\/(-252))\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250650 and 130895?\nAnswer: 11780550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 741999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 2783.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295099 or 295098?\nAnswer: 295098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -46*i. Let p(d) = -2*d + 266 - 266. What is u(p(j))?\nAnswer: 92*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + -4 - -8 - -10. Let q be 2\/15 + 5671\/(-795). Are m and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*t - 1608 = 0, -4*t = 3*z + t - 1200. Let d = -167 + z. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44*(10 - (-6721)\/22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from {b: 5, s: 4, v: 2}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmj when three letters picked without replacement from {m: 8, j: 2, k: 2, q: 2}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 722536272?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021221121 - -10?\nAnswer: 1021221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggxghgggsfuugg. What is prob of picking 1 g and 1 h?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 211\/219350 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((11 - 2) + (-30 - -31)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/36 and (-136)\/144*(-3)\/4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 12, -3*g = 2*x + 184 - 610. Let t = -87 + g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cc + 4?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 466 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z - 627 - 7485 = -108*z - 54*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:50 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(75) + -4 + 3 + 3 + 5*(-1 + -1 + sqrt(432) + 5))**2.\nAnswer: 1700*sqrt(3) + 7789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 38*m - 20*m + 3*m**2 - m**2 + (-m**2 - 3*m + 3*m)*(-m + 0*m + 2*m).\nAnswer: m**3 + 2*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6820656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -10*h**3\/57 + 7*h**2\/19 + 180*h\/19 - 3288. Factor b(c).\nAnswer: -2*(c - 5)*(5*c + 18)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.0507\nAnswer: 0.01014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 - 16*m - 61. Determine i(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 204\/(-680)*(-220)\/6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(324)\/(sqrt(9)*-1) - sqrt(36)))\/(((sqrt(108) + 1*sqrt(108))*6)\/sqrt(9)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 0.028281\nAnswer: -0.197967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggaggggga. Give prob of picking 2 g.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83\/3 + (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24206*c**3 + 2009*c**2 - 48408*c**3 + 24201*c**3 in the form s*c + f*c**2 + l + y*c**3 and give f.\nAnswer: 2009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 10. Let o = 113 + -112. Put o, y, 0, 5 in ascending order.\nAnswer: y, 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -128, -213, -258, -263, -228, -153?\n\"Answer: 20*z**2 - 145*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1626 + -1?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - 34 - 2*i + 37 as q*i + g and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (4 - (8 + (0 - -4) - 6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 4*n + 3. Let q(v) = v**2 + v - 2. Let z be (-5)\/(-2) - 2\/4. Let s be q(z). Determine a(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3171084 divided by -10786\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -425*q + 56. Let j be h(4). Round j to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 67*f - 4. Suppose 4 = 8*v - 4. What is the tens digit of w(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {z: 4, a: 2, m: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 2*y**2 - 4*y + 2. Let o be k(3). Let w be 1\/(o - 10\/(-8)). Suppose 3*b + w = 4*b. Solve -d - b = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -0.18224.\nAnswer: -8.18224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in 13, 3, -1\/6, -4, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-4 + (-44)\/(-12)) - (2450\/(-110) - -16)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 + 13 = 0. Let h be (-1)\/n + 2\/(-4). Determine g so that -8\/7*g + h - 18\/7*g**3 + 24\/7*g**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**2 + 1. Let v(z) = -31*z**2 - 17*z - 47. Let b(h) = 5*u(h) + v(h). Factor b(t).\nAnswer: -(t + 3)*(t + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y, -10*k + 7*k = -3*y + 42. What is the common denominator of -79\/62 and (-306)\/k - (4 + 0\/2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.81 + -0.91. Which is the nearest to n? (a) -4 (b) 4\/5 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 7 - 2*x + 192*x**2 - 86*x**2 + 13*x**4 - 106*x**2 to the form c*x + h*x**3 + d*x**2 + f*x**4 + k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -22, -11, 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**4 + s**3 - s**2 + 2*s - 1. Let a(d) = 11*d**4 - 7*d**3 - 61*d**2 - 63*d - 6. Let v(w) = -a(w) + 6*q(w). Solve v(c) = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u**2 - 4*u - 5. Let n(v) = 32*v**2 - 11*v - 14. Determine -8*i(p) + 3*n(p).\nAnswer: 8*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 11000005 - 4\/(-2). Round q to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 160*w**2 - 825*w + 1170.\nAnswer: -5*(w - 26)*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86606 = 116*t - 128110. List the prime factors of t.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*c - 63*c + 166*c.\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.519065934152 and -0.5.\nAnswer: -6.019065934152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00219574901 to five dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7936*n - 80. Let h be l(18). Suppose 4*s + w = h, 2*s + 15*w = 17*w + 71394. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2952 + 5152. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2204608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52030, -52032, -52034, -52036, -52038?\nAnswer: -52040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 74 = 70*h. Put 4, -1, h, -5 in increasing order.\nAnswer: -5, h, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 4*h + 5*h)*(-13 - 15 + 1) + (-h - 3*h + 2*h)*(-6 + 4 - 1).\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {r: 10, b: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104015, 415753, 935317, 1662707?\nAnswer: 2597923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785216 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 1 - 21*z + 23*z)*(9*z**3 + 0*z**3 - 10*z**3) to the form p + f*z + b*z**4 + j*z**2 + o*z**3 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 43 + 20 + 6 + 74*h - 2*h + 3*h + 0*h + (2 + 3 - 4)*(2*h + 1 - 1) + 3*h - 2*h + 0*h to u*h + f and give u.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, 0.2, -0.1, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*q + 234*q - 22 = -4*b, 3*q - 13 = 5*b for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*b + 5*b. Suppose -41 = -b*s + 5*c, -2*s + c + 37 = 2*s. Solve -2*y - s = 2*k, 2 = -4*y + k + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (0 + 2 + (-11 - (1 - 5)) - -33)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 1. Let g(l) = 2*l - 2. Let q(k) = -4*g(k) - 5*p(k). Determine q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32880\/800)\/137)\/((-7)\/10)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -98, -274, -614, -1172, -2002, -3158, -4694?\nAnswer: -6664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -364 - -176. Let y = -89 - u. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*m = 0, o - 3*m = 3*o. Let r(y) be the first derivative of -y + o*y**2 + 1\/3*y**3 - 1. Differentiate r(k) wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37\/2 - -19. Let q = 3.71 - 0.31. Let o = -0.4 + q. What is the nearest to 0 in x, 3\/2, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9075944183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3 = -5*s, -4*i + 4*s = 2*s + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-32)*24\/9. Solve -2*z = -v*z + b, 2*z = 2*b - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (13 - -4 - 41) - (118 + 14).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 1, v: 13}. What is prob of picking 1 v and 1 g?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*q**3 - 110*q**3 + 55*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/21 - 8\/6 - -615.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4044 and 2137254?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*n - 47500 + 8876 = 0 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44, -63, -94, -137, -192?\n\"Answer: -6*f**2 - f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 647, 4, 0 in decreasing order.\nAnswer: 647, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = a + a - l, -2*l - 80 = 2*a - 64 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 - 192*r\/11 - 54.\nAnswer: 2*(r - 99)*(r + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6931.868 years?\nAnswer: 693.1868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07036820034 to 3 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/95 - ((-2936)\/10 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 7830.\nAnswer: 86130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23.1272, -0.3, -2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142958 is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 at least -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/10 + u**3\/2 - 297*u**2\/5 = 0. Calculate u.\nAnswer: -27, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 + 3060*h**3 - 469225*h**2 + 926250*h = 0. Calculate h.\nAnswer: 0, 2, 285, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54.24685 and 4.\nAnswer: 216.9874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65224.\nAnswer: 2, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 - 2*d**3 - 5*d**3)*(8*d + 3 - d - 6*d + (2*d + 2*d - 2*d)*(-4 + 4 - 2)).\nAnswer: 33*d**4 - 33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + b + 291 = 0, 363 = 4*s + s - b. Suppose -29*z = -25*z + s. Calculate the smallest common multiple of (z\/12 - -2)\/(2\/24) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*r - 42 = 0, -3*r + 9 = 2*b + 2*r. Suppose x - 3*x = -b. Calculate the smallest common multiple of 12 and (-7)\/(-1)*x\/21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1326*l + 12629 = -8587 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(180))*-5 + sqrt(180) + (sqrt(180) - (sqrt(180) + 1 + -4)))**2 + 2 + (-6*sqrt(245) - (sqrt(5) - sqrt(245)*-6))**2.\nAnswer: -624*sqrt(5) + 39176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from wwweojb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 53. Suppose -4*f - 3*p + 7 = -11, z*p = -f + 7. Suppose -14 + 2 = -f*x. Put 3, 0, x in descending order.\nAnswer: x, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7 - 2 + 482220*p**2 - 1 - 2 + 6*p. Suppose 4*d - 3 = 9. Let s be q(d). What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c + 54*c - 26*c.\nAnswer: 63*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(8\/6)*13 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4180, -8101, -12018, -15931?\nAnswer: -19840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3398*a + 40692 = 14515 + 13064 - 78633 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62416\/23406*(0 - -1 - -29)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 926*f + 158535. Calculate k(596).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -46, 1 in descending order.\nAnswer: 7, 1, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.14 and 0.2741.\nAnswer: 0.1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, -1, 7\/3, 0.4, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/12 - 41*h**2\/2 - 7*h - 164. Let a(f) be the first derivative of y(f). Let r(v) = 2*v**2. Determine r(a(k)).\nAnswer: 2*k**4 + 164*k**2 + 3362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 179628 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11375 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13.3*32\nAnswer: 425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -582 + 602. Suppose 0 = -3*y - 16*y + 1710. Calculate the lowest common multiple of y and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + g**2 - 2*g - 2. Let d be r(-4). Suppose -2*f + d - 10 = 0. Suppose 28 = 2*t - 5*b, -4*t - f = 5*b - 124. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.085793\nAnswer: 0.171586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 2*m - 2*m)*(-27*m - 2875 - 18*m + 166 + 43*m).\nAnswer: -4*m**2 - 5418*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z\/(z*(z\/z**(7\/8))\/z*z))\/z)\/z))\/z)**(-1\/13) assuming z is positive.\nAnswer: z**(-17\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c - 4. Let k = 4 + -9. Let r(i) = -11*i + 6. Let w(z) = k*r(z) - 8*l(z). Differentiate w(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2\/2 + 203455*j\/2 + 712166 = 0. Calculate j.\nAnswer: -7, 203476\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 8 - (-78 - -52 - (-2 - 10) - -145).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a**5\/5 - 187*a**4\/5 - 1182*a**3\/5 - 2212*a**2\/5 - 888*a\/5 + 64 = 0. Calculate a.\nAnswer: -10, -8, -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3771478553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00664209985 to 6 decimal places.\nAnswer: 0.006642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*a + 5061, -i + 0*i - 2513 = -2*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1280))**2.\nAnswer: -32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 - 3*b**2 + 3*b**2 + (4*b - 2*b - b)*(0*b**2 + 0*b**2 - b**2) + 2*b**3 + b**3 - 5*b**3 + (0 - 3 - 1)*(-6*b**3 - 19*b**3 + 3*b**3).\nAnswer: 82*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/133 - (-260)\/(-304). What is the second biggest value in 0, -55, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50529.\nAnswer: 3, 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2556 - -1?\nAnswer: -2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.016204t?\nAnswer: 16204000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226.4 + 222.026. Let j = w - 0.026. Let a = j + 0.9. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14600550 divided by 109.\nAnswer: 133950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 3*i**2 - 5*i**2 + 3 to the form l + m*i + c*i**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 11:49 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -5, 1 in decreasing order.\nAnswer: 1, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 9*t - 15. Let q be v(6). Suppose 0 = q*x - 2*b - 2*b - 247, 0 = 4*b + 16. Suppose -2*r + 5*i = -x, 2*r = -2*i + i + 59. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8403\/208 + 591\/13. Calculate the common denominator of s and -33\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/8 (b) -1\/8 (c) 2\/7 (d) 10378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 7 - 13 - 33 + 4*m to the form b + t*m and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 + 27*q + 1. Let n be y(-5). Let x be 320\/3278 + n\/99. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:48 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j + 2 + j - 7*j**2 - 2*j**2. Let c(r) = 4*r**2 + 3*r - 1. Let h(m) = 7*c(m) + 3*z(m). What is the units digit of h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653092565?\nAnswer: 5, 9649, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(2\/11)*z*z)\/z*z**(-1))\/(z**8*z*z*z**13*z) assuming z is positive.\nAnswer: z**(-229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 37 - 7*d + 5*d. Calculate p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -12. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178331.\nAnswer: 151, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5276*a**4*c*h**2 + 142*a**4 - a**2*h + 2*a*c + 96938*c*h**2 wrt a.\nAnswer: -126624*a*c*h**2 + 3408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 less than -0.02?\nAnswer: -605.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(3) + -4 + sqrt(3)*2)*2.\nAnswer: -12 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -12*r**2 - 3*r + 2. Does 11 divide p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145326697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 77\/2 of a tonne?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 955. Let h be q(2). Which is greater: -4788\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 4*o + (0 + 0 - o)*(9 + 2 + 7))*(-3 + 4 + 1).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.013 - 4.013. Which is the nearest to -0.1? (a) l (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -50. Suppose 5*r - 56 = h. Let q = -7 + 17. What is the remainder when r is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 96 + -4 + 3 - 2. Let w = o + -54. What is the highest common divisor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.1, 1.1 in decreasing order.\nAnswer: 1.1, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1334*p**2 - 343?\nAnswer: -2668*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - c**2. Let v(y) = -y**3 + y**2. Give v(k) + x(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1 + 5 + -3 + (722 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172630 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1608\/17567 + 1\/1597. Which is the fourth biggest value? (a) 5 (b) -21 (c) u (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.138 - -504.138. Let f = 455.4 - y. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561596 is divided by 43188?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.03 (b) -1 (c) -51377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, 35, 1 in decreasing order.\nAnswer: 35, 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 4*g**2 - g - 1. Let z be c(-3). Let p = z + 22. Let h(b) = -2*b**3 + 3*b**3 + p - b + 2*b + b**2. Give h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333311 - 23002?\nAnswer: 1310303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/5 of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2253112)\/(-170) + 6\/(-10). Suppose 5*n - 8*d - 16575 = -3*d, 4*n = -3*d + u. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2378486 and -73531?\nAnswer: 2452017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let m be ((-179)\/2)\/((-9)\/(-6)). Let j = m - -59. Which is the nearest to 0? (a) r (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*i + 156 + 257, -5*i = 3*v - 425. Let c be (-122)\/15 + 18\/v. Do -8 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = w - 2*i, 4*w + 63*i - 59*i = 36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 547, 1641, 3333, 5623, 8511, 11997?\n\"Answer: 299*m**2 + 197*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = -2*y, 2*y + 3*y + 2*i - 1 = 0. Let x be y\/(-4) - 1\/(-4). Let j = 9 + -9.1. Which is the smallest value? (a) -1\/4 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -637.435 + 638. Let k = 0.065 - v. What is the nearest to 1 in -21, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2964876*z + 9 - 2964879*z to the form h + a*z and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 55 + (-6 - (-4 - -8)) + 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -2*n - 2*n. 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: In base 6, what is -355 + -4105310?\nAnswer: -4110105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*m - 211*m + 602*m - m**2 - 123*m + 602*m in the form f*m + r*m**2 + y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 102?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5242175 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 2*j - 46. Let t be p(0). Let a = 46 + t. Suppose 4*c = -4*o + c - 64797, a = 3*c - 3. Round o to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -48.2833?\nAnswer: 24.14165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*13\/((-156)\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/341, -8, -7, -1\/4?\nAnswer: 4\/341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 5268368?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14701407 to the power of 1\/2, to the nearest integer?\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -111 (b) 1\/3 (c) -5.13 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 209*x - 214*x = -29, 5*g + 5*x - 20 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 21 - 6 + 861*x**3 - 15*x - 7.\nAnswer: 861*x**3 - 15*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*t + 10. Suppose t*k = -g - 115, -450 = 4*g + 3*k - k. Does 14 divide (2\/(-4))\/(2\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - q + 2*q)*(-1 - 6 + 2)*(-3 + 5 - 3)*(34 + 2 - 16)*(-1 + 3*q + 1) as j*q + a + b*q**2 and give b.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1732 = 4*s, 2 = 3*s - 1. Let c be (-3)\/15 + n\/(-10). Let q = c - 30. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 15 = y. Suppose 0*t = -4*t - 8, -y = -n + 4*t. Sort n, 0.3, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s. Suppose s = 7*h - 3*h - 4. Find the first derivative of a + 3*a + 0*a - 3*a - h wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b (base 14) in base 5?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6311136 (base 7) in base 2?\nAnswer: -10111001010101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + (-145)\/45. Let l be 6*((-10)\/6 - m). Let c = l + -7. Sort c, 3, 2 in decreasing order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10776 and 402146850?\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 12. Let a be (6\/(-4))\/((-3)\/6). Suppose -124 = -4*j - 2*l, -j - a*j + 4*l = -100. What is the remainder when j is divided by m(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125917*k**3 + 19*k**2 - 104515684*k wrt k?\nAnswer: -755502*k + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119519268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 959705 (base 11) in base 13?\nAnswer: 419ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 - 4*z**2 - 13*z**2)*(-31*z**2 + 29*z**2 - z - 7 + 0*z) as s + f*z**3 + q*z + p*z**4 + k*z**2 and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (12 - 13) + 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = -n - 3*r, -2*n - 5*r + 19 = 0. Suppose n*g + 40 = 21*g. Let y = 22 - g. Is y != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2 + (-20)\/(-16).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-1 + 1)\/1. Let r(x) = -16*x + 5. Suppose 0 = -4*a + 7*a + 12. Let c(m) = 8*m - 3. Let s(z) = a*r(z) - 7*c(z). Calculate s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 11*h + 7. Let v(u) = -3*u**2 - 10*u - 6. Let y(s) = 2*p(s) + 3*v(s). Let f be y(-4). Solve -5*k - f = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2637)\/(-49810))\/(12\/(-40)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100101100000100 (base 2) to base 9\nAnswer: 28307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 39. Suppose 5*h - 3*s - 95 = 7*h, -4*h + 2*s = 166. Let t = a - h. Are t and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59 and 30623.\nAnswer: 30564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -be?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5 = 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*n - 182, -8*d + 190 = -4*d - n. Calculate the remainder when (3 - 3\/3) + d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 = -2*u - 106, 4*u - 4*v + 140 = 0. Let t = u + 50. What is the greatest common divisor of t and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -4*((sqrt(52)*-1 - sqrt(52)) + sqrt(52))\/sqrt(4) + (1 + sqrt(26)\/sqrt(2) - sqrt(52)\/sqrt(4)*-4) + 1)**2.\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -8985)\/2 + 4 + -3. Let p be 2\/11 - d\/110. Suppose -10*u = -19 - p. Let n(w) = 2*w - 6. What is n(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6475*h**2 - 12991*h**2 + 5 + 6498*h**2.\nAnswer: -18*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/120 - 7*i**5\/60 + i**4\/24 + 3*i**3\/2 - 12*i**2. Let z be 2 - (-2 - (3 - 16)). Let k = 2 + z. Determine h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 282 + 256. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -804568, -804544, -804508, -804460, -804400, -804328, -804244?\n\"Answer: 6*z**2 + 6*z - 804580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Let f(h) = -16*h - 10. Give -f(c) - 5*o(c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*d**2 + 8*d**3 + 98*d**2 + 4*d - 3*d wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20932 divided by 2?\nAnswer: 10466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*v = 445*v + 53515 + 14925 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - y + 0*y)*((-4 - 2 + 3)*(1 - 2 - 4) + 4 - 3 + 1)*(-5*y - 1 + 1).\nAnswer: 765*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218662649?\nAnswer: 3, 7433, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2424\/79 or -30?\nAnswer: -2424\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-4\/3)*t)**(-18) assuming t is positive.\nAnswer: t**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 377 and 57369.\nAnswer: 1663701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 9452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25519*k**2 + 25524*k**2 + 55*k - 55*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150283963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2 + 13*n + 2\/3*n**3 + 13\/2*n**2. What is the tens digit of i(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 3*i**2 - 13*i + 20. List the prime factors of x(8).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4, -5 = -2*y - y - 5*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/(((-39)\/((-2691)\/(-230)))\/5)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121 (base 3) to base 5.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.323 - -0.373. Which is the nearest to x? (a) 3 (b) -0.5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1676 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -94*2\/4*-1. Suppose -9*v = x - 317. What is the remainder when v is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 4*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -2*h + 70. What is the highest common divisor of h and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 11 = 1. What is the biggest value in i, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 452 + -105?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 16 = 3*q - 4*r, 2*q - 3*r - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2812 - 8318. Let k = -43979\/8 - i. Find the common denominator of k and -40\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4 + 1883320*x**3 + 443363661114*x**2 + 886719788964*x = 0. What is x?\nAnswer: -470829, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 20*t**2 + 48*t - 6. Give m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y**3 + 0 + 0*y**4 - 3\/40*y**6 + 3*y**2 + 2\/15*y**5 + 0*y. What is the third derivative of a(t) wrt t?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -23*d + 223. Let k be q(8). Solve k = -6*u + 63 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) -1\/183 (d) -7\/6 (e) 2\/5 (f) -1062 (g) 1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**5\/60 + 3*g**3 + 5*g**2. Is w(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1049910 by 79.\nAnswer: -13290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3591 < -2171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 606223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44800 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:32 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**4 + 2*r**3 - 1865*r - 9961. Let b(t) = 5*t**4 + 3*t**3 - 1873*t - 9961. Let u(d) = 2*b(d) - 3*m(d). Find the first derivative of u(n) wrt n.\nAnswer: -8*n**3 + 1849","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630239262+0.2\nAnswer: 630239262.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75\/125 - 494\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65625 = 738*u + 529*u + 23420 - 19878 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/4 + 10*c**3\/3 - 7*c**2\/2 - 4*c - 1. Let r be l(9). What is the greatest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -69981, 2\/5?\nAnswer: -69981","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -14. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 11*g**2 - 4 - 5*g**2 - 6*g**2.\nAnswer: 4*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88660*w**3 + 88681*w**3 + 88683*w**3 - 266028*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:07 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 11*u - 6*u, 0 = -3*n + 3*u + 24. Let h be (1 + (-3)\/3)\/(4 - 2). Solve 5*k = -n, h = 3*m + k - 2*k - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 496 + -410. Suppose -a - 1 = -29*p. Solve p*q = -1 - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 1. Let t(i) = -2*i + 19. Let p be t(7). Let n(k) = -k**2 + 5*k - 5. Let r = -75 + 87. Suppose r*y - 10 = 2*y. Determine p*j(q) + y*n(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.66545 and -8.3?\nAnswer: -13.823235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by 7\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -387*m**3 - m**2 - 5305*m - 40844735 wrt m.\nAnswer: -1161*m**2 - 2*m - 5305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from {w: 2, x: 9}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*y + 744, -7*y + 2*y = 2*t - 1254. Suppose -5*s + 540 = l + 3*l, -2*l = -2*s - y. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/8)\/((-4)\/(-1))*(-5656)\/258762?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n**2 - 4*n - 20. Calculate the remainder when z(-3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 8:08 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 862 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 - -0.2. Let k = -3917 + 3915. Which is the nearest to -1? (a) v (b) 2\/15 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 0.1 (b) -1 (c) -4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -103 + 85 + (4 + -1 - -48)\nAnswer: 33","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: Convert -21001322 (base 4) to base 10.\nAnswer: -36986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/6 - 566*p**2\/3 - 56602*p\/3 - 416840 = 0.\nAnswer: -60, -34, 1226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 10946 + 2633 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 2. Let v be w(2). Suppose v*h - 398 = 2*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(8\/10 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312199 to the power of 1\/2, to the nearest integer?\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 = -l. Let s be (l\/(-12))\/1 - 1. Let n = 17 + -12. Which is the third biggest value? (a) n (b) s (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -5. Let c = -4 + b. Let m = 21 - c. What is the highest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**2 - 14*u - 12. Determine w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8) - 788\/16. Let a = -44 - p. What is the least common multiple of 9 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20240534 less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/4 - -31\/28. Let j = -10981\/3 - -3661. Which is the nearest to j? (a) 42 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 55*l - 362. Suppose 0 = -5*s - 15 + 65. Let q = 26 - s. Calculate the remainder when q is divided by z(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**4 + 671522*k**3 + k - 53833833 wrt k?\nAnswer: -12*k**3 + 2014566*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -1 + sqrt(1573))*3)**2.\nAnswer: -396*sqrt(13) + 56637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x = -25*x + 8*x + 43240. Calculate the least common multiple of x and 2256.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30919764 by 4.\nAnswer: -7729941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*s - 195, 0 = s + 3*s - 20. Suppose 2*u - j = 30. What is the greatest common factor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55390\/(-1914) - (12\/66)\/(-10 + 13).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 25 = 7. Let s(o) be the second derivative of -o**3\/2 + 51*o**2\/2 - 16*o. Let j be s(19). Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -2 + 61\/3*m**3 + 0*m + 0*m**6 + 0*m**4 + 9\/10*m**7 - 197*m**2 + 0*m**5. What is the derivative of z(d) wrt d?\nAnswer: 756*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10822261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/15 <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**2 - 96*s**3 - s + 0*s - 1590 - 7*s**2 + 19*s**2 - 14*s**2 wrt s.\nAnswer: -576*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/35)\/((-126)\/(-245)*-5)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p**2 + 201*p - 6. Let j be h(23). What is the third biggest value in j, -2, 1\/3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4 + 16. Suppose 6 - 82 = -t*i - 4*c, -5*i + 122 = -4*c. Calculate the least common multiple of i and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10084, 29534, 48984, 68434, 87884?\nAnswer: 107334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 104\/10651, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 6:33 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1564*j**2 - 380057*j - 1215.\nAnswer: -(j + 243)*(1564*j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(5\/8))\/(-2))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 19*f + 1. Let p(o) = -2*o**3 + 16*o**2 + 2*o - 15. Let s be p(8). What is a(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -288*j**3 + 691*j?\nAnswer: -1728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 10*d + 0*d + 181.\nAnswer: -7*d + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*q - 0*q. What is the remainder when q is divided by (-3510)\/(-78)*(-4)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79028.4934 rounded to 0 decimal places?\nAnswer: -79028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 648130738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 1909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110110010000 (base 2) to base 10.\nAnswer: -11664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzeeezbbezefezzyzpee. Give prob of picking 2 b and 1 z.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-6))\/(p**(-9)\/p) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 346317654.7 to the nearest 1000000.\nAnswer: 346000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 at least 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1312 and -89\/8.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 44245.7ug?\nAnswer: 0.0442457","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 1, r: 7, a: 6}. What is prob of picking 3 a?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5150947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-1 + -6 - 0) + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 145 = 5*k. Let f = -27 - k. Solve o - 12 = -5*t, -3*t - f = -3*o - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**4\/24 - 7*w**2. Let c(b) = 2*b**2. Calculate u(c(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56249297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18655360, 37310728, 55966116, 74621536, 93277000?\nAnswer: 111932520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.86548 and -0.1.\nAnswer: 0.486548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -w, 18*p = 23*p - 3*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a meter in millimeters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 + 626364*g**3 + 32693068956*g**2 - 130779792288*g + 130782297792 = 0.\nAnswer: -104396, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6*(-44)\/33)\/(-92). Find g such that 0 + 2\/23*g**5 + 0*g**4 + 0*g**2 - 4\/23*g**3 + x*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.5 - -10. Let m = k + -5. Let i = 1 + m. Put i, -4\/7, -5\/2 in ascending order.\nAnswer: -5\/2, -4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 2*x**2 - 33*x - 817. Calculate u(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l = 79. Let w = -68 + l. Let j = -122 - -210. Calculate the greatest common divisor of w and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22a (base 12) to base 7\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -516131 (base 7) in base 15?\nAnswer: -1b395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c03d - 4d80?\nAnswer: -12dbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12150*w - 24314. Give j(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 4*y**2 + 2*y + 2. Let g be (-2)\/(-2) + 26 - -1. Let v be 132\/14 - (-16)\/g. Let b be 8\/5 - v\/(-25). Give t(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1185\/2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from wdhzzbwhwzzwdwhzwzz?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-77)\/22*4\/(-7). List the prime factors of 0 - (-41 - (r + 1)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/70*11715\/(-426).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86836608 divided by -288?\nAnswer: -301516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 41. Determine n(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3 (c) 5 (d) 72604\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4 - 64*g**3 + 1082*g**2 - 1736*g - 2883 = 0 for g.\nAnswer: -1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270) - -2*-2*sqrt(270) - sqrt(270))*-2)\/(sqrt(24)\/(sqrt(40)\/(sqrt(10) - sqrt(10)*2))*-4))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4874 - -4863.5. Let s = 23.6 + -13.9. Let n = q + s. Do n and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -22*z - 115. Let n(c) = -4*c**2 - 6*c - 5. Let i(b) = -5*b**2 - 5*b - 4. What is z*i(p) + 4*n(p)?\nAnswer: 9*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:57 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 7. Let y = 31 + -30. Calculate the remainder when c(-6) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g + g + (0 + 0 - g)*(-1 - 1 + 1) + g - 3 + 3)*(8 - 20 + 10) to the form m*g + j and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*i + 161 = 37, 0 = -2*s - 5*i - 115. Find the common denominator of ((-24)\/s)\/(24\/345) and 51\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341645778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -24217?\nAnswer: -24219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g - 4. Let o(c) = c**2 - c - 1. Let x(a) = 0*a**2 + 5*a + 5 - 6*a**2 + 3*a + a**3. Determine g*x(m) + 6*o(m).\nAnswer: m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -106 (b) 0.5 (c) -0.051 (d) -5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l**2 - 17*l**2 + 43 - 43.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-20 - -12) + 9 + -10 + (-8 - 7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -12, -1, 3 in descending order.\nAnswer: 3, 2, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 49*s - 1. Let p be j(9). Suppose 3*l = -l + p. What is the highest common divisor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 206. Let w be (12\/18)\/(2\/z). Let n = -19 - w. Solve 5*d - n*c + 28 = 0, 3*c - 3 - 3 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 58 and -46432?\nAnswer: 46490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 11. Let m be v(-7). Suppose 0 = -2*c + m*j - 9 - 11, 5*c = -5*j - 80. List the prime factors of (0 - -46)*c\/(-28).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*k - 336862 - 801369 + 311926. List the prime factors of k.\nAnswer: 3, 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**3\/6 + k**2 - 19*k + 3. Determine w(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393 and 107785621.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*-3*(-6)\/(-9). Let r be w\/(-6)*(-10 + 4). Solve -3*j - r*j = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 11*h - 32. Let j(a) = 32*a**2 - 7*a + 24. Let w be j(3). Suppose -5*r + 259 = -w. What is the remainder when r is divided by b(-15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = 2*a - 916, 1210 = 4*o - 3*a. Calculate the greatest common divisor of 112 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193 - -413. Let r(k) = -38*k**2 + 1. Let b be r(-1). Let j = -17 - b. What is the greatest common divisor of j and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16394053 is divided by 14012?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -797*b**3*x - b**2*x + 499*x wrt b?\nAnswer: -2391*b**2*x - 2*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 6, 3 in decreasing order.\nAnswer: 7, 6, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73141 is divided by 6262?\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.0017042, 0.08, -4, -5?\nAnswer: 0.0017042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 44 = 3*x + 2*v, -2*v + 24 = 2*x. Suppose -3*k + 14 = -x*k. List the prime factors of 2 - 280\/(-4) - k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*d + 0*d - 2*d)*(0 + 0 + d**2) - 13*d + 13*d + 3*d**3)*(1 + 0 + 1) in the form y + b*d + i*d**3 + r*d**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 167*i**3 - 1153*i**2 + 847*i - 185. Let w(h) = -28*h**3 + 192*h**2 - 141*h + 31. Let l(k) = -6*m(k) - 34*w(k). Determine z, given that l(z) = 0.\nAnswer: 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.4. Let r = -0.5 + 0.3. Which is the nearest to k? (a) 4 (b) 6\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34145.5 plus 0.3?\nAnswer: 34145.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (3 - (-204)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o - 8*o - 1 + 4 + 15*o + 2 + 2*o**2 to s*o + z + k*o**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269*h**6 - 90*h**2.\nAnswer: 32280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 + 6*o**2 + 12*o - 2. Let a(u) = -2 + 4*u**3 + 4*u**2 + 13*u + 2*u**2 - 2 + 1. Let x(c) = -4*a(c) + 5*m(c). Determine x(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 - (55\/2)\/(-5). Let q be (-48)\/20*(-15)\/l. Suppose b = -4*g + 7 + 1, -23 = -5*g + 2*b. Solve -q = -c - g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = -8. What are the prime factors of (-98)\/f - 6\/(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55955590883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -8, 2\/3 in decreasing order.\nAnswer: 2\/3, -8, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 701 = 4*z - 564, 5*z - 1270 = -3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5144 less than 70907?\nAnswer: 76051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*m, -v - 5*m - 17 = -5*v. Let i be (-2)\/(-3) - (-244)\/v. Suppose 2*q - q = i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Suppose 0 = u - 13 - x. Let d(g) = -11*g - 1. Let i be d(-2). What is the greatest common divisor of i and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124387304 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r**1\/r)*r)**(-2\/75)\/((r\/r**(-3))\/((r\/(r*r**3))\/r)))**(2\/11) assuming r is positive.\nAnswer: r**(-1216\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 60799 and 60449 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1644252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/7 (c) -2\/7 (d) 1113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 + -226. What is the highest common divisor of 62 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -343.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*z + 2*z + 15 = 0, 2*z = -5*c + 15. Let d be c + -3 + (2 - -1). Suppose -d*b = -b - 62. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let q = 139 + -145. Sort q, r, 0 in descending order.\nAnswer: r, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(5077 - 5077 - 32*c).\nAnswer: 64*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15286 - 14982. What is the smallest common multiple of s and 300?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 0. Suppose p + r = 2*r - 3, 8 = c*r. Let u(y) = 3*y + 2. Let m(t) = -t - 1. Calculate p*u(x) - 2*m(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3 + 74684*f**2 + 702558626*f + 99625766688 = 0.\nAnswer: -18599, -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3833162 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205218 is divided by 1315?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1868297832588.6 + 0.5\nAnswer: -1868297832588.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 28*m - 245100 = 14*m. Does 38 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/71))\/(j\/j**36)*j**(-3\/7)\/j*j*j**(-18))**(1\/6) assuming j is positive.\nAnswer: j**(8747\/2982)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from uwwyywuipymup?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/440*-10*(-31)\/((-3038)\/(-1512))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**3*w**2 - 2*p**3*w + 9*p**3 - 17*p - 20*w**2 wrt w.\nAnswer: -8*p**3*w - 2*p**3 - 40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -110. Let a be 3\/(-12) - p\/(-8). Suppose 2*v - 2*n = -9 + 35, 4*n = -v - a. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54654 divided by -5\nAnswer: -54654\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (480\/72)\/(16\/(-72)*3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, v: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/3798 (b) 5 (c) -3\/5 (d) -5\/6 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5209)\/62 - (-15878)\/984436?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 10. Let f be (j\/9)\/((-2)\/93). Suppose 2*h - f = -11. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238327673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*d + 25. Solve -t - 6 - 12 = 4*h, -d*h = 3*t + 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45409 is divided by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.4, 4, -0.2, 2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 + (126\/(-9) - -35). Let f(n) be the first derivative of 2*n**2 - 3*n - 2. Let k be f(3). Solve -24 = c*b - k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 - 227721*l**2.\nAnswer: -l**2*(l + 683163)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 89. Suppose t + 2*n - 19 = 10, 4*t - l*n = 83. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 9*a - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -6*z. Let q(m) = -7 - 6*m**3 - 3*m + z - 4*m**2 + 5 + 3*m**3. Does 3 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 308*l**2 + 124 wrt l?\nAnswer: 616*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -14258.\nAnswer: -14258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*f - 80025 = 266*f + 1097*f + 68935 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - 6 - (-2 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 12. Let s be v(5). Let o = s + 42. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230423 less than 26314.324?\nAnswer: -204108.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 2*p**4 + p**4)*(-3 + 3 + 1) + 4 + 2*p**4 - 4 + 4 - 4 + p**4.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1 + -3)*(244 - 231).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 3)\/(5*-1). Let r = 15.17 + -15. Let n = r + -1.17. Which is the closest to p? (a) -2 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021103295 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - -0.32. Let d be (1 - 0\/(-2))\/(32\/8). What is the closest to 1\/5 in -2\/23, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22970, 181, 2\/7?\nAnswer: -22970","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Let f(w) = 6*w + 3*w - k*w - 2 - w. What is the tens digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-54 - 87 - 25)*(-g + 2*g + 6*g).\nAnswer: -2324*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7 - 29))\/((-1)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9197328 and 630462.\nAnswer: 156354576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2287 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1215499.603847 - 0\nAnswer: 1215499.603847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 15, 13 in ascending order.\nAnswer: -10, 3, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - 11*w. Let b(l) = -3*l**2. Calculate u(b(g)).\nAnswer: -18*g**4 + 33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.206473 rounded to 1 dp?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - a + a + 0*a + 9*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2122 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2 - 172. Is (-10)\/(4*1\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/41, -4057.1, -1\/7 in descending order.\nAnswer: 3, 1\/41, -1\/7, -4057.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 3\/10, 1\/2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*r - 84, 3*s - 712 = -r - 791 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125829 is divided by 11883?\nAnswer: 8827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 - (-31077)\/(-2394))*-20. Is 1 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 61154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v = 16*v + 927 + 423 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 263*t**2. Is b(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(33\/3))\/(-19)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831490144?\nAnswer: 2, 863, 30109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 7:22 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9923, -81369, -275299, -652955, -1275579, -2204413?\nAnswer: -3500699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -9\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-12)*57)\/(6\/16). Sort 5, a, 0, 3.\nAnswer: 0, 3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 3*t**2 + 2*t + 3. Let z be f(-3). Let g = -1312 + 1317. Suppose 0 = 3*n - r - 5, 5*n - 9*n + g = -3*r. Put n, 12, z in ascending order.\nAnswer: z, n, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -60. Let v = 116 - m. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -457450870*b**5 + 635483349*b.\nAnswer: -9149017400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0 + 13\/24*x**4 + 5\/6*x**3 + 0*x - 7*x**2. List the prime factors of v(3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*x + 5. Let m(g) = 2*g**2 + g. Let i be m(x). Suppose 0*c + 4*c - 4 = -2*j, -5*j + 5*c = -25. Solve j*r + 10 = -4*n + n, 5*n = i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 11 + 2 + 11*b**2 + 19*b - 10*b - 8*b. Let m = 525 + -518. Calculate the remainder when m is divided by j(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(u**2 + 3*u**2 - 6*u**2)*(-28*u**3 + 27*u**2 - 27*u**2).\nAnswer: -168*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 11 + 9. Suppose 28 = 3*o - z, 13 = o + z + k. Calculate the least common multiple of ((-3)\/(-2))\/(o\/24) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102901 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from ppooypoopzpppyppppp.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -5*z**4\/24 + z**3\/2 + 5*z**2\/2 + 13*z. Let y(l) be the first derivative of g(l). Calculate y(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**2 + 26*j - 4. Let k(z) = -10*z**2 - 27*z + 3. Let a(y) = -4*k(y) - 3*s(y). Let v(x) = x**2. What is v(a(h))?\nAnswer: 16*h**4 + 240*h**3 + 900*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 197, 220, 99, -142, -479, -888, -1345?\n\"Answer: 4*t**3 - 96*t**2 + 283*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.455 + 0.255. Which is the nearest to 0? (a) o (b) 5 (c) 12 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 0*u + 3*u - 34 + 10*u. What are the prime factors of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 36 = 63. Let w(r) = r**2 + 11*r + 18. Let t be w(j). Suppose 3*n + 160 = y, -y + t*y + n = -156. List the prime factors of y.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.21816 take away 14576450?\nAnswer: -14576481.21816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -375*s + 221 - 3221 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**3 + 56*p**2 + 8*p + 1263. Let c(z) = 17*z**3 + 109*z**2 + 20*z + 2525. Let w(s) = 10*b(s) - 4*c(s). What is the derivative of w(t) wrt t?\nAnswer: 6*t**2 + 248*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(27)*1*-6 - (sqrt(27) - (sqrt(297)*-2)\/sqrt(11))))\/(1*sqrt(576)*2).\nAnswer: 27*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-2))\/(2\/4). Find the third derivative of -3*c**4 + 6*c**o + 3*c**4 + 4*c**2 wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 5*x - 2*x - x - 2*x + 5*x + (2*x - 4*x + 0*x)*(0 + 2 - 4) + 0*x - x + 3*x + 0*x + 4*x - 2*x + 2*x + 3*x - 3*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2\/3*j**4 - 32\/3*j**2 - 2\/3*j**3 + 0 - 40\/3*j = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 365, 546, 727?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2 + 414*s - 3840 = 0. What is s?\nAnswer: 10, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/20 and 99\/8021810.\nAnswer: 16043620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2341)\/(-3))\/(2\/(-6)). Let s = c + 25708\/11. Calculate the common denominator of -43\/7 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*((sqrt(5) - (-3 + -2 + sqrt(5)))**2 - sqrt(5) - -1*(sqrt(5) + -1*sqrt(5))) - ((sqrt(80)*1*1)**2 + 2)).\nAnswer: -159 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-2 + 2 - 3*m) + 490 - 989 + 495 - 67*m.\nAnswer: -64*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41158497?\nAnswer: 3, 131, 104729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37151687 is divided by 4746?\nAnswer: 4745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7)\/((31\/(-93))\/(4\/54)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(-14))*m**26*m**10\/((m*m*((m*m**(-28))\/m)\/m)\/m) assuming m is positive.\nAnswer: m**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 2 = a. Suppose 23 = 2*l + 5*v, -5*l + a*v + 35 = 10*v. Suppose -u - 5*g = -27, 0*g = -5*u + 2*g + 27. Solve -l + u = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(5\/(-6))\/5*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150449 is divided by 21489.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a1 - -5?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6655 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/180 + 11*d**4\/18 + 259*d**3\/18 + 2532*d**2. Factor k(x).\nAnswer: (x + 7)*(x + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33843680 to the nearest integer?\nAnswer: 5818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11042 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 562961 and 735?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -22?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 9 - 6*y + 2)*(-y**2 - 7 + 7) as b*y**3 + o + z*y + p*y**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 8 = 13*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000328128 to seven decimal places.\nAnswer: 0.0000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -114, 29, 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/(-24) - (0 + 4)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*v + 2)*(-29 + 189 + 67) - 26 + 26 - 4*v in the form w + x*v and give x.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f - 7. Let m(h) = -h + 1. Calculate k(l) + 4*m(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186452 or 186465?\nAnswer: 186452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:13 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from ggxggxxgttggxgxxgjxx.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 2 u when four letters picked without replacement from temmmxtxxtxmxuxeeu.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97311.\nAnswer: 3, 163, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -6 - 3. Let n be (8\/10)\/(i\/(-180)). Suppose -4*z - 20 = -2*m, -2*z + 3*z - n = -m. What is the lowest common multiple of 22 and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.2. Let r = -3636.8 - -3634.8. What is the biggest value in 7, r, s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**5\/12 + r**4\/8 + r**3\/3 - r**2 + 3. Let u(p) be the second derivative of s(p). What is the units digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((8 - 5 - 11)*(-1 + 1 - 2) + 2 - 5 - 1)*(-3 + j + 3) to the form t + d*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 166*q = 19272 - 2748. Calculate the least common multiple of 2148 and q.\nAnswer: 19332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/5 + 284*q**4\/5 - 122776*q**3\/5 - 247792*q**2\/5 + 491072*q\/5 + 986624\/5 = 0. What is q?\nAnswer: -328, -2, 2, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 9. Let t be p(-3). Solve -7*y + t = -6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4142, 4800, 6588, 10070, 15810, 24372, 36320?\n\"Answer: 94*d**3 + d**2 - 3*d + 4050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 46 - 50 = -4*d, 3*a + 2*d - 71 = 0. Suppose 3*k - 60 = a*k. Put -2, -44, k in decreasing order.\nAnswer: -2, k, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u + 7905 + 12023 = 0. Let n = u + -419. Solve -n*g - 25 = 5*d, d + 1 + 2 = g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196\/3*d + 1\/6*d**4 + 17*d**3 + 66*d**2 + 0.\nAnswer: d*(d + 2)**2*(d + 98)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.231 - -408.769. Let n = 73 - s. Let c = 335.99999787 + n. Round c to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q - 3. Let v(i) = -15*i - 11. Suppose -2*k - 2*k = -z + 34, -91 = -4*z + k. Let y(a) = z*l(a) - 6*v(a). Let t(x) = -4*x + x + x. What is t(y(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -3 - (2 - (-2 + 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 51, -0.1696, -29, 3\/7, 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:39 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/8))\/(((h\/(h**(1\/7)*h*h*h*h))\/h)\/h*h))\/((h**6*h)\/(h\/(h\/((h\/(h**4\/h))\/h)*h))) assuming h is positive.\nAnswer: h**(-335\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 153752.54 to the nearest 10.\nAnswer: 153750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-28))*(g\/(g\/(g**6\/g)))\/g)\/(g*g*g**(-23)*g)**46 assuming g is positive.\nAnswer: g**896","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9884 + -9840. What is the greatest common divisor of 748 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.267666 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 12*h - 4*h + 3*h - 12*h)*(331*h - 331*h - 62*h**3) to the form p*h + l*h**3 + m*h**2 + a + o*h**4 and give o.\nAnswer: 1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 73\/1620733?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 + 4698998.48.\nAnswer: 4699019.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*m + 138 = 0, -t + m + 143 = -2*m. Let j = t - -44. Suppose j + 569 = 3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*v**3 + 58 - 58 + (1 - 1 - 2*v)*(v**2 - 4*v**2 + 4*v**2) + 2*v + v**3 - 2*v)*(1 + 0 - 2) - 2*v**3 + 3*v**3 - 6*v**3.\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 239 in increasing order.\nAnswer: -2, 4, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + 1 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -287421 minus -0.1?\nAnswer: -287420.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -3*d**4\/2 + d**3\/3 - 1. Let f(w) = 5*w**2 + 13*w - 1557. Let a be f(-19). Give c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 26*s + 11. Let q be p(-6). Let j(h) = 3*h**2 - h. Calculate j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 30*n - 45. Let f(b) = -7*b**2 + 6*b. Let g(l) = -20*l**2 + 17*l. Let w(s) = -17*f(s) + 6*g(s). Let t(i) = -u(i) - 5*w(i). Factor t(o).\nAnswer: 5*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((((m**1\/m)\/m*m)\/m)\/m))**(-1\/9)\/((m*m\/(m*m\/(m*(m*m**7)\/m)))\/m**5) assuming m is positive.\nAnswer: m**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -11*f**4\/12 + f**3\/6 + 1564*f + 5. Let w(r) = 0*r**2 + r**2 - 3*r**2. Calculate u(w(s)).\nAnswer: -44*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2697\/5005 - 3\/455. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1 (c) 1\/3 (d) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1528.5166 and 3?\nAnswer: -4585.5498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10\/11)\/x*x*x)\/((x\/x**(-7\/2)*x)\/x)*x*x\/(x\/((((x**(-24)*x)\/x*x*x)\/x)\/x))*x\/x**19 assuming x is positive.\nAnswer: x**(-999\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/7 + 11\/7. Solve p*m - 7*m = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00131302 to 5 decimal places.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.2 (b) 5 (c) -0.5 (d) 0.4 (e) -16507\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 + 18*q + 9. Let b(g) = -2*g**2 - 4*g - 2. Let o(m) = -9*b(m) - 2*x(m). Let v(h) = -46*h**2. Calculate v(o(d)).\nAnswer: -736*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 409393541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12525 divided by -4\nAnswer: -12525\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 - q + 6. Let p be l(6). Which is the closest to p? (a) 0 (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiw when three letters picked without replacement from wwwwiiwiii?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(153)*2.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/8, 5, 63\/4, 18, -10\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/(q\/(q*(q*q**7)\/q))))\/q)**(-4\/7) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = 22*c. Let q(h) be the third derivative of 1\/6*h**5 - 12*h**2 + c + 0*h + 0*h**3 + 7\/120*h**6 + 0*h**4. Find the third derivative of q(s) wrt s.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51250980 and 120?\nAnswer: 102501960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-186)\/(-24) - 2*(-1)\/8. Suppose -4*j = -40 - g. Solve 0 = -2*m - 4*x + 16, 2*m + 4*x = 2*x + j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1275 divided by -5\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 2*b)*(-4*b + 2*b**4 + 4*b).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-433280)\/(-105612) + (0 - -2)*-2\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 419, 939, 1667, 2603, 3747?\nAnswer: 5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 68*b - 124. Find the second derivative of 41 - b*p**5 - 3*p + 1 + 2*p - 106*p**2 - 7 - 2*p wrt p.\nAnswer: -40*p**3 - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 1. Let r(i) = 5*i - 1. Let h(a) = -4*r(a) + 7*x(a). Let l be h(-1). Let j be 2 + 1 + -1 - (-4 + l). Solve -3*t - j = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 5*s - 4*s)*(3*s + 2*s**2 + 2 - 3*s) to the form o*s**2 + j*s + h*s**3 + t and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 165*b - 72. Calculate the remainder when 192 is divided by p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.309*-6\nAnswer: 169.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 558907438 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff + 23?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 128 = 3*i + 4*n, i - 4*n - 16 = 0. Let l be 3 - 3*(0 + 1). List the prime factors of i\/(l + 3) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 1217920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -21. Let v = 4 - s. Which is the third biggest value? (a) v (b) 2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 67*n**6\/60 + n**5\/30 - n**4\/24 - n**3\/6 + 24*n**2. What is the units digit of j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565724 divided by -233.\nAnswer: -2428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 2, a: 4, r: 2}. Give prob of picking 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2932402 + -2?\nAnswer: -2932404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*l + m, 5 = -m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 121. Let d(l) = 2*l. Determine t(d(r)).\nAnswer: 2*r - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28200 and 42300?\nAnswer: 84600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8419.000010054 - 8419. Round d to seven decimal places.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*k = 22, -18 = -5*r - k - k. Factor -1\/3*w**5 + 0 + 1\/3*w**r + 0*w + 1\/3*w**3 - 1\/3*w**4.\nAnswer: -w**2*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 36, 3\/2, -2\/7, -3\/5, -1 in increasing order.\nAnswer: -1, -3\/5, -2\/7, 0.1, 3\/2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Suppose -2*o + 17 - 3 = 4*k, d*k - 22 = 4*o. Solve u - k + 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101751155 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393278 divided by 1393278?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21911, -21874, -21763, -21542, -21175, -20626, -19859, -18838?\nAnswer: -17527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - h + 6*h = 33, -8 = -4*h. Let w = j + 40. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*l + 9. Suppose s = -l*f, s = 4*f + 13 + 5. Let p(v) = -v**2 + 7*v + 5. Give p(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-1 - (-1 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324887 + -324889. Let k = 8.3 - 8. Let h = 0.1 - k. Which is the smallest value? (a) i (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*t**4 + 88490*t**3 - 147520*t**2 + 29510*t + 29505 = 0. Calculate t.\nAnswer: -5901, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -489*m**2\/4 - 13215*m\/4 - 81 = 0.\nAnswer: -27, -4\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x - 5 = 3*g, 0 = -4*x - 4*g - 20. Let f be 30\/x - 11\/(-2). Which is the fourth biggest value? (a) -2\/7 (b) f (c) 2 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -4. Suppose 3*b + 2*y - y - 61 = 0, -2*b + 32 = k*y. Suppose 3*t - b = -0*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 97 = j, 5*j = -3*g + 2*j + 69. Suppose g = 5*a - 3*d, d = 3*a - 0*a - 12. Suppose -5*q + a*q = -720. Round q to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 3760549169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3065 or -3059?\nAnswer: -3065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5348 (b) -41 (c) 3 (d) 0.1 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 7 = -4*r. Let m = r + 9. Solve 17 + 3 = m*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**2\/2 - 93*c - 2. Let s(w) = w - 4. Suppose 4 - 5 = i. Determine i*s(t) + 4*h(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 2, 0.4, -3.11?\nAnswer: -3.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 8*d - 12. Let c(a) = -a**2 + 3*a - 4. Let w(x) = 8*c(x) - 3*i(x). Give w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = 0, 3*p + 2*i = -74491 + 1741468. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233882237 by 6.\nAnswer: -233882237\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 514131?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-168))\/(12\/21).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:27 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 7220 + 61405 = 0. What are the prime factors of r?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0)**5)**(-50))**19 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832\/3*x + 1024 + 1\/3*x**3 - 61\/3*x**2 = 0.\nAnswer: -3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 13*o + 1128. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23718 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204911 and 86359?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22934453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -321865*v**4 + 5*v**2 + 22678*v wrt v?\nAnswer: -7724760*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1716016, 0.25, 3 in ascending order.\nAnswer: 0.25, 2, 3, 1716016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 4 + 2 - 2*d + (d + 0*d - 3*d)*(-5 + 2 + 0) + 5*d + d - 4*d.\nAnswer: 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Suppose 5*m = 5*s, m + m + 8 = r*s. Let z(i) = i**3 - i - 7 - 4*i**2 + 4 + 8 + 0*i**3. What is z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (304\/(-95))\/(4\/(-10)). Suppose 3420 = -k*t + 28*t. What is the remainder when t is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22300?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-5 - -4)) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a + 1. Let s be u(1). Does 2 divide 0 - (4 - s)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(46\/2622*133)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65436020 and 10.\nAnswer: 65436020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(612))**2.\nAnswer: -12*sqrt(17) + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-35)*(-80)\/12*3. Let z(t) = -204*t + 122. Is z(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = -3*g, -4*n = -3*g + 3 - 5. Let y be (n - -1) + 0 - (-24 - -177024). Round y to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83380886196.4 + -83380891110.39997083. Let z = o - -4914. Round z to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1562 + 15601\/10. Find the common denominator of f and 21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 5*q + 1. Let h(k) = -k**2 - 3*k - 1. Let l(d) = 6*f(d) + 10*h(d). What is the derivative of l(w) wrt w?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2*(-4)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v**3 + 41*v**2 - 5*v + 1. Let a(j) = 20*j**3 + 61*j**2 - 7*j + 1. Determine 5*a(w) - 7*y(w).\nAnswer: 2*w**3 + 18*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 30 = -4*k - 40*l, -2*k - 24 = 4*l. Let o be (-89)\/(-372) - (-1)\/(-4). Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 8, 24, 46, 74, 108?\n\"Answer: 3*c**2 + c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*l - 27 = 0, -u + 0 = -3*l - 1. Let r = 21 + -20. Let q be ((4 - 5) + 8)\/r. Calculate the highest common factor of u and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.6. Let b = 3.92 - -0.08. Let t = 7\/5 - 37\/30. Sort t, w, b in decreasing order.\nAnswer: b, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*x**2 + (2*x - 5*x + x)*(31 - 31 + 36*x) + 21 - 21 - 33*x**2.\nAnswer: -103*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, 10, -1\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/32)\/((-150)\/40)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71 - a17?\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17159 - -1389853\/81. Find the common denominator of s and 29\/30.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3776470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 45*c - 80. Suppose w - 15 = -5*o + 17, 15 = -5*w. Is q(o) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396922, 1587703, 3572338, 6350827, 9923170, 14289367, 19449418?\nAnswer: 25403323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8021 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -396 (b) -5 (c) -93 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -d + 3*d + 64, 0 = -v + 4*d + 23. Let a(q) = 2*q + 10. Let c be a(8). Let r = v - c. What is the least common multiple of 15 and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 5*l**2 - l - 1. Let h be n(-5). Suppose -45*p = -3*o - 42*p, -4*p = -12. Solve 0*w - 3*w = -o*j + 21, 16 = h*j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*w + 28. Factor -2*m**w + 4*m**2 + 18*m**2 + 45 + 10*m - 70*m.\nAnswer: 5*(2*m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -3\/7, 6.\nAnswer: -3\/7, 5, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7 = -5. Let i(q) = q**3 - 2*q**2 - 3*q + 4. Let f be i(x). Suppose -2*v = m - f, 2*m - v = -m + 33. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**4\/a)\/((a**1\/a*a)\/a)*(a*(a**(2\/7)\/a)\/a)\/(a*a**(-2)*a) assuming a is positive.\nAnswer: a**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1.2237.\nAnswer: -1.2237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*r - 5*r = -18, -2*r = -4*l + 30. Suppose 0 = -3*d - 4*d - l. Sort 5, -2, 4, d in descending order.\nAnswer: 5, 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-20)\/(-15)) - -4*15\/48. What is the second smallest value in 960, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:51 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1118082 - 718082. Round b to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24467 and 25.\nAnswer: 611675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 21*b + 21. Is n(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(77) - 2*sqrt(77)*-1)\/(2*(5*-1*sqrt(539) - sqrt(539))).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 70*y - 3618. Let g be u(60). Solve 5*w = 617 - g for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 - -263. Let z = -38 + 53. What is the units digit of ((-117)\/z)\/((-8)\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {t: 9, c: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 486209862 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqgqqqgqgqqqqgqqqq. What is prob of picking 1 q and 3 g?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/70, 1, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/3)\/(18\/(-132)). Calculate the highest common factor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*r**3 - 149*r**3 + 74*r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 11. Put 5, 6, 1, l in descending order.\nAnswer: 6, 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-30))\/((-63)\/(-420)*105)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 392 - 2*m - 1319*m**3 - 154 + 193 - 2*m**4 wrt m?\nAnswer: -24*m**2 - 7914*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = 32*u - 69. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28523*h - 28433*h + 2070 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and (-106)\/(-583) + 18\/22.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95762704, -191525389, -287288074?\nAnswer: -383050759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 11*h**4 - 3*h**4)*(-3*h + h + 3*h)*(-64 - 31 - 20).\nAnswer: -460*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**13)**49\/(v**(1\/11)\/v**(-1\/6)))**(-10) assuming v is positive.\nAnswer: v**(-210125\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d + 4*f - 3*f, 0 = f - 4. Let i(u) = -5*u + 2. Is 9 a factor of i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*m - 25*m + 8. Let l be (-205733)\/(-154) - m\/7. Let o = l + -1338. What is the common denominator of 27\/4 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2285, -1, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*u - a, u - 4*a - a - 44 = 0. Suppose u - 4 = -6*x. Sort -1, x, -4.\nAnswer: x, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3))**(-25)*t*t**10*t*t\/(t**19\/t))**(-14\/3) assuming t is positive.\nAnswer: t**(-980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1062 - 1260*o + o**2 + 677*o + 2*o**2 + 638*o wrt o?\nAnswer: 6*o + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -592*b + 1212?\nAnswer: -592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + (42696\/(-792) - 28).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from uuqquuuqqqqq?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyleryju. What is prob of picking 1 r and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19703 and 3538.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*6*(8\/((-168)\/27))\/(3102\/3619).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 8*x**2 - 7*x + 3. Let q be r(9). Suppose 7*s = q - 0. Suppose 6 = c + s*g + 15, 0 = c - 2*g - 11. Solve c*z = -z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -14. Let p = 5 + -2. Let s be (p - -5) + -1*1. Solve 0*y - 5*r + b = y, 2*y = -r + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339744.\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/(-9) - -5)\/((-1)\/(-30)). Suppose f*q = 24*q - 388. What are the prime factors of q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 16*r - 54*r + 13608. Suppose 2*q - 8 = -4*u, u - 3*q + 8 = 3*u. Let b = u - -23. What is the greatest common divisor of r and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 366.4308 or -1?\nAnswer: 366.4308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21078 and 772.\nAnswer: -16272216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5291, 5288, 5285, 5282, 5279, 5276?\n\"Answer: -3*m + 5294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806 is divided by 443.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztbezbbazybzbzzzz. What is prob of picking 1 t, 2 b, and 1 e?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8582.4 * 0.11\nAnswer: -944.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6683*j**2 - 4011*j**2 - 8*j - 3437*j**2 + (-2*j + 5*j - 4*j)*(0*j - 3*j + 4*j) to s*j**2 + n*j + l and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1843 - 1838. Solve 0 = -6*l + 2*l - o - 24, 4*o - 9 = w*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 5*v**2 + v + 1. Let g = -53 - -73. What is the smallest common multiple of t(5) and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/110 and 11\/8?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Let s be (-8)\/(-10)*(-45)\/(-6). Let m = -2 + s. Solve -10 = m*a - 4*p + 2, 0 = 4*a - r*p + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 + -4622.24?\nAnswer: -4620.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**9\/72 + 11*b**5\/30 + 12*b**2. What is the third derivative of n(z) wrt z?\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**2 + 2*k + 8. Suppose 0*v - 5*x + 19 = -v, v - 4*x = -14. What are the prime factors of u(v)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3. Let f = -151 + 153. Let k(d) = d + 1. Determine f*k(h) + j(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-218)\/(-12)*126\/(-7)*4\/216*9.\nAnswer: -109\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*j - 6564 - 3716 = -1360 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -80*k + 5. Let a(v) = 479*v - 30. Let u(o) = 7*a(o) + 42*g(o). Let q be -2*3\/3 - -4. Let n(j) = 6*j + q - 2. Give n(u(t)).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(2)*-6.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 - -279. Calculate the greatest common factor of q and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20979 and 69.\nAnswer: 482517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -2\/9, -247259 in descending order.\nAnswer: 96, -2\/9, -247259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 354557257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 8*m**2 - 4*m - 9. Let l be j(7). Suppose -13*z + 24 = -l*z. Calculate the lowest common multiple of 2 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109b42 (base 12) to base 2.\nAnswer: -1000000111100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -43*t + 724. What is the units digit of s(-62)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*g - 8 = 14, 0 = 2*i + 4*g - 68. Suppose 2*j - u + 1 + 0 = 0, -4*j - 4*u = -i. Let f(w) = w**2 - 4 - 5*w + 2*w**j + w**3 + w**2. Give f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -709*b*m*p + 8*b*p - b*t - m*p**3 - 2319*m*p*t - 7*p**3*t wrt t.\nAnswer: -b - 2319*m*p - 7*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/(s**(-22)*s))\/((s*s**(-2\/5))\/(s**(2\/13)\/s)) assuming s is positive.\nAnswer: s**(816\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 10:32 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, s: 2, r: 1}. What is prob of picking 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzaa when four letters picked without replacement from azzzzzzzazzazazzzaz.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46993 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1525 - 6*g - 1525.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7925 + 8321 = 22*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 157389 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 h when four letters picked without replacement from lhhlllhlhhhh?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*u**2 - 51*u**2 - 186*u**2 - 5*u.\nAnswer: -138*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 35*v**2 - 31*v + 105. Let g be m(-34). What is the smallest value in g, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -10416 (b) 3 (c) -0.4 (d) 0 (e) -97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let j(r) = -r + 3*r + 0*r + r**3 + 2 - 5*r**2. Let w be j(3). Let m = w - -7. Determine v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -104, -170, -240, -314, -392, -474, -560?\n\"Answer: -2*k**2 - 60*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiijhhwsioo. What is prob of sequence swji?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b - 15. Calculate a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.049?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 3*z + 2. Let h be m(-2). Suppose 0 = 4*g - 16 - h. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sus when three letters picked without replacement from suususuusu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -331035 divided by 5\nAnswer: -66207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -1, 5, 1\/5, 0.3, -3546?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 17 - -6 - -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**3\/6 - 3*r**2\/2 + 2*r. Let f(m) = -m + 1. Let k(j) = 14*j - 8. Let y(b) = 12*f(b) + k(b). Calculate 4*a(u) + 3*y(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/29 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 + 5 + 0 - -3. Let b(u) = u**3 + u + 78. What is the remainder when b(0) is divided by (p - 10\/(-3))\/((-2)\/60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7509?\nAnswer: 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 + 3*z**2 - 6*z + 11. Calculate u(4).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:13 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - -6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1) - (2 + -2). Let q(a) = -a**2 + 11*a. Let d be q(11). List the prime factors of (d + y)\/((-2)\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v - 5 + 1 + v - 3. Let a(q) = 3*q + 2. What is -14*a(x) - 4*m(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4279 and 29634?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + t - 26 = 0, 30 - 286 = -4*r - 6*t - 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -998c05 - 4?\nAnswer: -998c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.33896448*-5\nAnswer: -1.6948224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:45 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.087 - -0.087. What is the closest to y in 1\/4, 2\/11, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*n = 39, 0 = 5*p - 4*n - 30 - 3. Suppose -156*i + 233 = 2*h - 153*i, -3*h = -2*i - 304. What is the remainder when h is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5864555 is divided by 1732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1333 - 1332.9. What is the closest to -0.2 in s, 1\/2, -1, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 21*x = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004921 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 19. Calculate the lowest common multiple of 1 and n(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.01 - -0.01. Which is the second biggest value? (a) w (b) -3\/5 (c) -8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0 - 9*b**2 + 4*b - b - 2. Let y(x) = -37*x**2 + 13*x - 9. Let c(i) = -9*f(i) + 2*y(i). What is the second derivative of c(s) wrt s?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**4 + v**3 - 1. Let k(d) = 2*d**3 - 6*d**3 + 8*d - 11*d**4 - 3 - 7*d**3 + 4*d**4 - 8*d**2. Let h(g) = -k(g) + 3*z(g). Factor h(b).\nAnswer: 2*b*(b + 2)**2*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 + -0.04. Let j = -625 - -628.99. Let a = -0.01 - j. What is the third biggest value in a, 0.07, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648 + 0.5?\nAnswer: 2648.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92.6 - 4.4. Let r = o - -100.9. Round r to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81032927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -216*p - 434. Determine y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 o when three letters picked without replacement from iniio.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 12:58 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -134743.\nAnswer: -134738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1799 and -5.\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -28 + 10 - -11 - (1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246561189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.42 - 0.62. Which is the smallest value? (a) y (b) 5 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60, 236, 560, 1056, 1748, 2660, 3816, 5240?\n\"Answer: 4*g**3 + 50*g**2 - 2*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 5199.1?\nAnswer: -5181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 292513997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 + 20)*3*(340\/18 - -3). Solve -f + 73 = -31*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2)*10\/8. Let b = -5 + y. Suppose -2*p - 2*p = -3*c + 75, p = b. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 6. Let l = y + 5. Suppose 72 = 2*m + 8. What is the remainder when m is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 41*m + 186. Give q(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -5.\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 29 - (5 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*l**6 - 22*l**5 + 3*l**2 + 29*l?\nAnswer: -1560*l**3 - 1320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 22996*j + 21112414. Calculate y(-958).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = 5*b. Let p(f) = -f**2 + 1. Let t(i) = -i**2 + 2. Let k(y) = b*t(y) + 2*p(y). Let m(h) = 30*h**2. What is k(m(z))?\nAnswer: -900*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-2176)\/(-11568))\/17)\/(66\/(-9)))\/((-36)\/198).\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 7)*((1 - 1 + u)*(3 - 1 - 1) + 1 - 1 + u + 26 + u - 26).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - 69\/(66\/110*15). Solve -f*b**2 + 14\/3*b - 13\/3 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215235147 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437841.\nAnswer: 3, 48649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40371769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m = -36*m + 75 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 26. Solve -5*k + 25 = x, k = -x + c*k + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91931733 a multiple of 2703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)\/(f\/((f**(-2\/21)*f)\/f)*f*f*f)*(f**(1\/2)*f)**(5\/12)*(f*(f\/(f\/(f*f**6)))\/f*f**2\/f)**(5\/16) assuming f is positive.\nAnswer: f**(-667\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12011.47 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25700 - -111957. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -554, -5, 7, -1, -152, 3 in descending order.\nAnswer: 7, 3, -1, -5, -152, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13702?\nAnswer: 2, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4 + 2*b**3 + 5065*b**2 + 256738*b wrt b.\nAnswer: 24*b**2 + 12*b + 10130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 7*n = n. Let g be (-2)\/(-4)*(-4)\/5. Which is the closest to n? (a) g (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 98583319 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*t + 362*t - 307*t - 520*t - 742*t to the form o + m*t and give m.\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95005253 is divided by 15631?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -43481?\nAnswer: -43483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 84?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-2))\/(-9) + 32358\/4. Suppose 0*b = 3*b - 2*d - 4854, r = 5*b - 3*d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*d - 2, 5*d = 6*d + z - 6. Let h = -4 + 7. Solve w - d*w = h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - 5*u**2 - 4*u + 5. Let c be i(3). Let m(w) = 17 + 22*w**2 - 25*w**2 - w**c. Let a(t) = 2*t**2. What is a(m(d))?\nAnswer: 32*d**4 - 272*d**2 + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (69\/(-4)*16\/(-1572))\/36 and -71\/198.\nAnswer: 51876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 4*y**2 + 8*y + 16. What is w(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34504722 and 1218?\nAnswer: 34504722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/4465 + 1408\/(-47)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 57. Let b be o(19). Suppose b = -17*r + 20*r. Solve 4*n - 5*q - 33 = 7, r = -4*n + 2*q + 28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 + -40144?\nAnswer: -40056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.428971 litres?\nAnswer: 428.971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 7*n + 6. Let y be z(-7). Let j(i) be the second derivative of -i**5\/20 + 5*i**4\/12 + i**3 - 7*i**2\/2 - 5*i + 20. What is j(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 32*b**6\/105 - 8*b**5\/35 - 5*b**4\/7 + 6*b**3\/7 + 16*b. Find m such that h(m) = 0.\nAnswer: -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 5. Suppose 3*w = -2*w + 20. Let x be r(w). Which is smaller: -8 or x?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-3*f + 3*f - f + (2 + 1 - 2)*(2*f - 2*f - f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.014 - 2.454. Let q = 2.5 + g. What is the second smallest value in -1, 0.3, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/6, 9, 5, 0.34, 3\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*((sqrt(720) - 1*sqrt(720) - sqrt(720)) + sqrt(720))**2 + sqrt(720) + -5)*1.\nAnswer: -6 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - ((1 - 4) + -14) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -17*r**3 + 2*r**2 + 6*r - 1. Let l be i(-2). Suppose -l = -38*n + 59. Suppose -1\/3*s**3 + 0 + 0*s + 1\/6*s**n - 1\/6*s**4 + 0*s**2 = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3800669, -7601348, -11402027, -15202706, -19003385?\nAnswer: -22804064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.1 take away -0.29?\nAnswer: -28.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + -1.11. Let q = x - -1.1. Let t = q + 4.06. What is the smallest value in 0.5, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 96 = 2*y + m, 3*y = -2*m + 52. What is the remainder when 2918 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2881 * 78.\nAnswer: 224718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7921, 15844, 23767, 31690, 39613?\nAnswer: 47536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -70822 divided by 17\nAnswer: -4166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emem when four letters picked without replacement from memmememmmxx?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 86. Suppose -w = -4*l - 3. Determine c, given that -l*c**2 + 5 + 3*c**2 + 1 - 10*c - 3*c**2 = 0.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 990*m**6*x**3 - m**6 + 2*m**2*x**2 + 3*m*x**3 - m*x**2 - 240*x**3 + 17 wrt m?\nAnswer: 118800*m**3*x**3 - 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 * -65.31\nAnswer: 274.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (-26 + (-9 - -65)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**8\/112 + 4*k**7\/5 + 47*k**6\/5 - 24*k**5 - 558*k**4 + 3456*k**3 - 1047*k**2 - 4. Find z such that v(z) = 0.\nAnswer: -48, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.105 + -0.705. Let v = k - -0.11. Let d = -3.7 - v. Which is the third biggest value? (a) d (b) 0.2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(114)\/sqrt(6))*-1.\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62122260.\nAnswer: 2, 3, 5, 37, 27983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 7. Let u(r) = 11*r - 34. What is -11*q(d) - 2*u(d)?\nAnswer: -11*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -94.324. Let n = 0.024 - d. What is the closest to 2 in n, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106136231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35941 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = b - 16, b + 3*x = -x + 25. Let i = b + -17. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313 a factor of 290541463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 7. Let z = -30 + 17. What is the remainder when 10 is divided by n(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 96.74, 2\/7, 0.4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbw when three letters picked without replacement from jrvjwtbt.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - -3) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 43104.\nAnswer: 387936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543343 divided by -6.\nAnswer: -543343\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-125)\/75)\/((-2)\/6). Suppose 4*r - j*c = -52, 4*r + 19 = 3*c - 41. Let d = 18 + r. What is the nearest to -1 in 2, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juujjujjuujj. What is prob of sequence juj?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 - 5 = -14*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 3*r = -2*s + 300, 3*s - 5*r = -254. Let d = 143 + s. Let u = -57 + d. Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 0 - (-2 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1312 - 599. What is the hundreds digit of s - (12\/3 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352526090 a multiple of 2930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 343679 and 1901239?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91523489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1394 = -1462. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 + 11235*r**3 - 78474*r**2 - 89712*r = 0. What is r?\nAnswer: -1, 0, 8, 3738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -46. Let z = -3 - x. Do z and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10525344 (base 7) to base 12.\nAnswer: -381116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131.9 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, 2, -5, 6, -4 in descending order.\nAnswer: 6, 2, -4, -5, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*w + r, 11*w + 5*r = 13*w + 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -7*a**6\/120 - a**4\/3 - 8*a**2 + 4*a + 4. Let z(n) be the third derivative of w(n). Let d(o) = -2*o**2. Determine z(d(t)).\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -146.8. Let x = 2.8 - c. Let o = 0.8 + -1. Sort x, o, -5.\nAnswer: -5, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1158508 and 31\/18.\nAnswer: 10426572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1156777631 by -4.\nAnswer: 1156777631\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 6*v + 8. Let p = 130 + -123. Let i be c(p). What is the highest common factor of i and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 78 = 13*v. Suppose -5*w - 5*k = 40, 4*k = -w + k - 8. Let l be (-1)\/(-3) - (-2 - w\/(-12)). Solve -3*p + l = -v*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35394 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 i(v) = 2*v**2 - 3117*v + 76720. Calculate i(25).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1762112974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - 0 - (545 + -539)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 81*g = 618 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035, 955, 929, 987, 1159, 1475?\nAnswer: 1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (956\/24)\/(10\/3). Let f = w + 123\/10. Find the common denominator of f and (7\/(-7))\/(2\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.082109 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1466 + -511. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 122, 203, 300, 419, 566?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.456 + 934.456. Which is the nearest to 2\/3? (a) 4 (b) q (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*o - 13, -5*y + 16 = -4*o - 5. Let v(b) = 2*b**2 - 13*b + 8*b + y*b. Let z(j) = 3*j. Give z(v(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 569 or 3\/28?\nAnswer: 569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.129207 * -4640\nAnswer: 599.52048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 60 = 6*z. Suppose 4*l = -4*y + 8, z*l = 21*y - 22*y - 1. Let j = -197\/3 + 65. What is the smallest value in j, 7, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -3*h**4\/4 - 22*h**3\/3 - 11. What is the third derivative of y(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/2)\/(r**6*r))\/(r\/r**29*r*r*r**(-6\/13)) assuming r is positive.\nAnswer: r**(441\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -6 + (-28)\/(-20). Which is the biggest value? (a) 3\/26 (b) n (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6696\/3823 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117272304*n**3*o**3 + 7*n**3*o + 12*n**2*o**2 + 61268*o wrt o?\nAnswer: -703633824*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 18611575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, -4, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-14 + 7)) + -3 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5889.149 - 0.\nAnswer: 5889.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7983648 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13063 - 122.43857.\nAnswer: -122.30794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.28545 + 12.8.\nAnswer: 17.08545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -k + 257. Suppose 48*o + k = 51*o + 4*a, 5*o = 2*a + 287. Put 1, o, -3, -4 in increasing order.\nAnswer: -4, -3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.95 - -35. Let z = -1.004 - f. Let u = z - -0.11. Which is the nearest to 1? (a) 1 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*13933.97.\nAnswer: 83603.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1128209, 1128315, 1128513, 1128821, 1129257, 1129839, 1130585?\n\"Answer: 3*x**3 + 28*x**2 + x + 1128177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 507 and 3120.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 47480.4 tonnes?\nAnswer: 47480400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*23\/(-621)*1*13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3 + 12. Let r(u) = 2*u**2 - u - 4. Let d be r(-6). Suppose m*n - l = d, -n + 6*n - 140 = 5*l. Calculate the greatest common divisor of 184 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9336, 18557, 27764, 36951, 46112, 55241, 64332, 73379?\nAnswer: 82376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1198407 + 2012084. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 6*c - 2. Let z be l(-7). Find the second derivative of 2*g - g**z - 2*g**5 + 0*g**5 wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0218*0.035.\nAnswer: -0.000763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (476\/204)\/(1\/((-2)\/1)*24\/108).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yev when three letters picked without replacement from {e: 3, r: 2, o: 4, v: 1, h: 2, y: 3}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2*a**2 + 5 + 485574366*a - 1 - 485574366*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/6)\/((t*t\/t**(13\/7))\/t))\/((t*(t\/t**(-4\/37))\/t)\/t**(-5)))**(-34) assuming t is positive.\nAnswer: t**(143123\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4145 = 4*k - 0*u, -3*k - u + 3112 = 0. Let n = k - 558. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5649 - 50789\/9. Calculate the common denominator of q and 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7873 - 55107\/7. What is the second biggest value in b, 14\/3, 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527092717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 748 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**(-47) assuming t is positive.\nAnswer: t**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o = -11330. Suppose -3*c + 20401 = -o. Suppose 0 = 15*f - 8*f - c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.109, -8.7, 68?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10571 is divided by 1168?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 26859 (b) -18 (c) -3 (d) 11 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**6\/720 + c**5\/10 - 11*c**4\/12 + 11*c. Let f(q) be the third derivative of a(q). What is f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**7\/42 + 31*h**6\/10 - h**3\/2 - 4*h**2 + 71*h + 1. Find the second derivative of p(j) wrt j.\nAnswer: -20*j**3 + 1116*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 63*r - 1909. What is p(-94)?\nAnswer: 1005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 12 + 92*a + 27 to k + l*a and give l.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**7\/168 - p**4\/24 - p**3\/3 + 3. Let f(b) be the third derivative of z(b). Find the first derivative of f(t) wrt t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.1. Let p = d - -5.9. Let t = 13\/2 - 7. Which is the smallest value? (a) t (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 5*f + 6. Let n be v(-5). Let t = 44 + n. Suppose -2*k - 5*l = -t, 0 = 5*k - 0*k - 3*l - 16. Is k less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/4 - 7\/60. Let a = 0.2 - -0.3. Sort a, -4, i in increasing order.\nAnswer: -4, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 383680 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.5. Let i = 70.4 + -70. Which is the closest to 1\/3? (a) p (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 1273*n + 1275*n + 34, 8*n = 8*z - 184 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11326 divided by 1475.\nAnswer: -11326\/1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 80 - -118 - 71) + (-2 - (0 - 63))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -7 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 - n**3 + 5*n**2 + 6 - 3*n**2 to j*n**3 + o*n + b*n**2 + m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 18*l + 65. Calculate y(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**3*q**3 - 10444*o**3*q**2 - o**3*q - o**2*q**2 - 3*q**3 + 63*q + 2 wrt o.\nAnswer: 12*q**3 - 62664*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122144, 488593, 1099342, 1954391?\nAnswer: 3053740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124570?\nAnswer: 2, 5, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 95. Let h be p(-31). Let o(a) = -15*a - 365. Let z be o(-22). Is z >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 7. Let t be q(8). Suppose h + 12 = w + t, 6 = -3*w. Let n be (h - -2) + 2\/2. What is n rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 27. Suppose -5*y + y + 24 = -4*w, -w + b = y. Suppose 0 = -y*p + r + 3*r + 46, 20 = -5*r. What is the smallest common multiple of p and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n**4 - 48*n**4 + n**4 + 6*n**4 + 0*n**4 - 4*n**4 + (-n**3 + n**3 + n**3)*(-3 + 3 - n) - 4*n**4 - 7*n**3 + 7*n**3 - 4*n**4 + 0*n**4 + 3*n**4.\nAnswer: -39*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 48*y - 13. Let g = -29 + 46. Calculate the remainder when w(g) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1\/2)))**18*h**(5\/2)\/(h*h\/(h*h\/(h\/h**(-6)*h*h))))\/((h**(1\/4)*h*h)**(27\/5)*(h\/h**(2\/3))**(17\/4)) assuming h is positive.\nAnswer: h**(-166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125189401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239078 = -210*h + 224*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -2) + 23 - 10 - (2 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**2 + 11*l - 4. Let w be s(-6). Calculate the greatest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138795 or 1\/105?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = 0, 0*u + 211 = i - u. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001602841 to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5*v = 6, -v = c - 5*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (168\/(-35))\/((-8)\/(-420)). Let d be (0 + -1)\/(x\/(-246) - 1). Suppose 0*n - 3*n = 126. Which is bigger: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 20. Let x be q(7). Put x, -3, -16 in descending order.\nAnswer: x, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 8*m + 61. Suppose -3*p = -2*q - 17, 0 = -4*p - 7*q + 3*q + 56. List the prime factors of g(p).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 9 - 3. Let y(l) = 13*l**2 + 21*l + 15*l**2 - d - 3*l - 23*l**2. What is the units digit of y(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16330 + -81648\/5. What is the fourth biggest value in -0.2, 5, q, -2, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63990 and 230?\nAnswer: 1471770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21 + 15 + 7*l - 9. Let m be o(-4). Sort -4, m, -6.\nAnswer: -6, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -292 less than -51326\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 30. Let v be 80\/w - (-4)\/(-6). Suppose 27 = p + 4*i, 4*i = v*p + p - 1. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 361 in 1\/34, 0.05, -1\/5, 4, 0, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 291*f**2*j**2*z - f**2*j + 4*f*j**2 - j**2 wrt z?\nAnswer: 291*f**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*x**2 + 130*x**2 + 167*x**2 in the form a*x + t*x**2 + u and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 54.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 8725249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/7 - 354*g**3\/7 + 13722*g**2\/7 + 62530*g\/7 - 75900\/7 = 0.\nAnswer: -5, 1, 66, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21*c**2 - 2*c - 1. Suppose -i - i = 5*d + 13, -23 = 3*d + 5*i. Let p be a(d). Let g = 33 + p. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b**2\/3 + 146*b\/3 + 2838 = 0 for b.\nAnswer: -99\/4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -4*sqrt(228)*-1)\/(sqrt(12) - -5*(sqrt(24)\/sqrt(2) - sqrt(12) - sqrt(12))).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 244 = 4*o. Let v = o + -37. Suppose 0 = -3*b - 5*k + v, 3*b + 4*k - 27 = -2*b. What is the highest common factor of 9 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803326892 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*u**3 + a**3*u**2 + 30*a**3*u + 98*a**2*u**3 wrt u?\nAnswer: 12*a**3 + 588*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.5755 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 less than or equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48)\/sqrt(2) - sqrt(24))\/(sqrt(432)*1).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(160))\/sqrt(8) - (sqrt(20) - (sqrt(120) - (2*sqrt(120) - sqrt(120) - sqrt(120)) - sqrt(120))\/sqrt(6)))\/(sqrt(196)*-1*-6).\nAnswer: sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/9, -20, 1, 0.1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(((-39)\/48)\/((-15)\/(-600)*-20))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.206 * -0.6552.\nAnswer: 3.4109712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((84\/9)\/4)\/((-1)\/(-33))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, 293 in decreasing order.\nAnswer: 293, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56235 = -4*f + 3*a, 29735 = 2*f - 4*a + 1625. List the prime factors of f.\nAnswer: 3, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/14 or 1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiziiiiziii. Give prob of sequence ziii.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02329 + -10.97671. What is the closest to 0.01 in p, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -176, -161, -142?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24521, -24537, -24553, -24569?\n\"Answer: -16*d - 24505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -2*l + 73920. What is l rounded to the nearest one hundred?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1562692*n**3*r - n**3*z**3 + 43*n**3*z**2 + 85*n**3 - 6*n**2*r*z**3 + 23*n**2 + 2*z wrt r?\nAnswer: -1562692*n**3 - 6*n**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113216769.\nAnswer: 3, 12579641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/9 - 1323*w**2 + 5250987*w - 2578. Determine q so that v(q) = 0.\nAnswer: 3969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 12538*l = 0. What is l?\nAnswer: 0, 6269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1250, 5034, 11342, 20174, 31530?\n\"Answer: 1262*o**2 - 2*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u - 1560 = -11*u + 114*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -h - 3*h - 34, 0 = 5*i - 2*h + 22. Let s(x) = -6*x**2 + x + 2. Let b be s(2). Let q = i - b. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10708, -21414, -32120, -42826, -53532?\n\"Answer: -10706*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 16. Let o be t(-9). Suppose -7*p = -2*p - 20. Factor 18*f**3 - 6*f**3 - p*f + o*f**5 - 8*f**4 - 8*f**2 + 6*f.\nAnswer: 2*f*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + -106. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -247*v - 25. Let a be l(-3). Suppose 2*z - a = -4*x, -350 = 3*x - 5*x - 3*z. What are the prime factors of x?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3451\/(-406))\/((-3)\/(-6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -90 + 119 + -69 + -30\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 - -0.7. Let w = 9 - z. Let l = w - 7. What is the third biggest value in l, 3, 2\/21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*g**4 + (-2*g**4 - g**3 + g**3)*(2 + 1 - 2) + 3*g**4 + 0*g**4 - 2*g**4 + g**4 - g**4 - g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296007*x**2 + 296007*x**2 - 5*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 2:53 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/20756? (a) 2 (b) 0.3 (c) -4.8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1)*o**(-1\/6)*o)\/(o**(1\/6)*o**(-4)))**(-23) assuming o is positive.\nAnswer: o**(-322\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -556*k**2 - 377*k. Let j(d) = 1112*d**2 + 752*d. Let t(s) = -6*j(s) - 11*w(s). What is the second derivative of t(z) wrt z?\nAnswer: -1112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -360*k - 131*k + 10 - 11 + (-3 + 3 + 2)*(-k + 3*k - 4*k) + 0*k + 0*k + 2*k.\nAnswer: -493*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 9. Let v(x) = -x + 4. Let r(o) = 2*u(o) + 5*v(o). What are the prime factors of r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3)\/(-16*2\/48)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 7:34 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t**2 + 3*t. Let j(q) = -2*q**2 - 527985*q + 527985*q. Give j(s(z)).\nAnswer: -512*z**4 - 192*z**3 - 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 3*m)*(-13 + 13 + 16*m**2).\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2)*-2)**2 + (sqrt(98) - (sqrt(98) - (1*sqrt(98) - sqrt(98))))**2 + sqrt(98) + (-2*-2*(1 + sqrt(2)))**2 + -1.\nAnswer: 7 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-6) - (-3)\/(-9). Let t(z) = z + 3. Let o be t(m). Let f(j) = -11*j - 3. Is f(o) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11701.084 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96bc16 (base 13) to base 14.\nAnswer: -681b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 205338*v**3 + 205776*v**3 + 1 to the form u + p*v + n*v**2 + t*v**3 and give t.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -7.4?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*o + 282*o - 168 = 0. What is the remainder when 118 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 5. Let w be a(-5). What is the greatest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 696993, 1393980, 2090965, 2787948, 3484929, 4181908, 4878885?\n\"Answer: -n**2 + 696990*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2 = 2*h, 3*h + 3*q + 19 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 7)*(-141244 + 141244 + 363*k) in the form r + g*k and give g.\nAnswer: -2541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {a: 4, k: 2, v: 1, u: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 - m + 15. Let p(i) = 10*i**2 - 7*i - 29. Let w(j) = -9*a(j) - 4*p(j). What is w(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 142 (c) -470173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x*(x*x**(1\/2))\/x)\/x))**(-2\/13)*(x**(-1\/3))**(-45)*(x**0*x)**34*x**(4\/9)\/(x**1\/x*x) assuming x is positive.\nAnswer: x**(5677\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(175) + 2 - (sqrt(175) + 1*(sqrt(175) + 2*sqrt(175) + sqrt(175)) + sqrt(175)).\nAnswer: -50*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a minute in seconds?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 5:15 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.9, -4, 2 in ascending order.\nAnswer: -4, 0.3, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(136)\/sqrt(2) + -5)**2 - -6*(2*sqrt(170))\/sqrt(10)).\nAnswer: -8*sqrt(17) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-38) + 14700\/(-251370).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132564 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 8, 7, -14, -61, -140, -257?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 13 = -p - v, 621*p + v + 0*v - 9928 = 5*v for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 4124. Let l(s) = 62*s. Determine l(k(p)).\nAnswer: -62*p + 255688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.289 + 0.211. Let d = -6 - -4. Which is the closest to 0.07? (a) k (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088247?\nAnswer: 7, 269, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Suppose k - p = -2. Let z = 5 - k. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.107 + 8.107. Let k = w - 8.1. Let p = -89 - -64. Is p at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221 + 122121121?\nAnswer: 122202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30232033 (base 5) to base 6.\nAnswer: 5111532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -187.\nAnswer: -24.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-10208)\/132*(-15)\/(-60)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(288)*-2 + 1.\nAnswer: -24*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 814*a - 42322. Give z(52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + f**2 - 6*f**2 + 3*f**3.\nAnswer: 3*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767199 is divided by 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 98, -2, 2\/53, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.04. Let u = 0.13986 - s. Round u to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:44 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4743.08 + -4743. What is the closest to -2\/3 in -0.09, 1\/5, o?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, o: 11, l: 4, j: 2}. What is prob of sequence jjul?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c + 3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 3)*(-18*g - 61*g - 8*g + (-3*g + 5*g - g)*(2 - 4 + 6)) as a + s*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 0 + 2 - 6 + 2.\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c - 11. Let t be y(-4). Let p = t - 41. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 13786591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3 - m + 1\/3*m**2 = 0. Calculate m.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4838 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 1. Let s(t) = 17*t - 1. Let h(p) = -r(p) + s(p). Suppose -5*o + 3*o + 30 = 0. Let a be o\/2 - (-6)\/12. Let x(j) = -5*j. Give a*x(q) + 3*h(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*q + 20, 5*d = 2*q + 4 + 9. Suppose -1 = 2*s - d. Let y(p) = 3 + 7*p + s - 6*p. What is y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -14. Let g(l) = -l**2 + l. Let k(h) = 3*h**2 - 9*h + 6. Let c(b) = y*g(b) + k(b). Solve c(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642130 and 51840.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k**2 - 10*k + 697. Let a(h) = 27*h**2 - 18*h + 1405. Let l(t) = 4*a(t) - 7*x(t). Find the first derivative of l(v) wrt v.\nAnswer: 20*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-59898376)\/(-246))\/((-12)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 54. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -390230 and 0.0576.\nAnswer: -22477.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f**2)*(-19*f**3 + 55*f**3 + 52*f**3).\nAnswer: 176*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9115 - -1057331\/116. What is the common denominator of 35\/44 and t?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2286457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by 65.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -o - b + 35, 2*o - 4*b - 10 = 0. Suppose -o - 12 = -3*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 33 = 22*n + 5*b, 4*n = 2*b + 2. What is the nearest to -0.1 in 0.2, 4.8, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -511 + 518.7. Let y = d + -15.7. Which is the closest to y? (a) -0.4 (b) 1\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h - 320 = -17*h. Let g(a) = -3*a - 33. Give g(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -81 + 6896. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -14*z**3\/15 + 16*z**2\/15 - 2*z\/15 = 0.\nAnswer: 0, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1.7\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:44 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 11, t: 1}. What is prob of picking 1 r and 1 t?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37752 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*1124.\nAnswer: 44.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67.3 and -0.17514.\nAnswer: -11.786922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -236, -234, -232, -230, -228, -226?\n\"Answer: 2*x - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 51*h + 125. Give b(-50).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 5*p + 29 = 5*u, 12*p + 48 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + (3*sqrt(1377))**2 + -1 - (2 + (-2*sqrt(1377))**2)) + 4.\nAnswer: 9*sqrt(17) + 6886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1051192889 to the nearest integer?\nAnswer: 32422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 - 799 + 799.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/4 - 3*t**3 - 2*t**2 - 21*t - 41. Let s be g(-9). Let z(i) = 19 - 8 + i**3 - s - 3*i**2 + 3*i. What is z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + p = 11, 9 = 2*s - 4*s + 5*p. Let d be (-9)\/(-4) + s\/8. Suppose -6 = -d*x - 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 176 - -3*1\/(-3). Suppose -t - 4*t + h = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -468433475835064.9999971 - -468433570955949. Let y = 95120871 - i. Let b = y - -13. Round b to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (50\/(-2))\/(-5). Let n(g) = g**2 - 5*g - 11. Let q be n(a). Sort 5, -6, q in descending order.\nAnswer: 5, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 14) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73300*t - 2 + 146589*t - 73311*t - 16*t**2 to the form q*t**2 + f*t + m and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - x)*(-15 - 7 + 1) + (0 + 0 - 1)*(3*x - 18*x - 7*x).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 262904 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -182.\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6189063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1758349, -1758287, -1758223, -1758157, -1758089, -1758019, -1757947?\n\"Answer: u**2 + 59*u - 1758409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111190638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 92*l - 88*l - 11, 5*r = -l + 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 10. Let u(w) = -4*w - 20. Let v(p) = -11*q(p) + 6*u(p). Let n be v(-8). Let g = n + 5. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4 - 6)*(-6 + h - 12 + 6) + 2*h - h - 13 + 20.\nAnswer: 3*h - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -124, -144, -180, -238?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030*t = 1029*t. Let q be (-5)\/(-85)*(-5 + (t - -263)). Is 16 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24057 + 48972. List the prime factors of x.\nAnswer: 3, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*g + 592*g + 26558 = -187*g for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + -15. Let l be (-10)\/55 + (d\/88 - -1). Find x, given that -1\/6*x - 1\/3 + l*x**2 - 1\/6*x**4 + 1\/6*x**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 + 14*u**2 - u**3 - 28*u**2 + 2*u**4 - 2*u in the form r + y*u + d*u**3 + b*u**2 + p*u**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.375 + 21.675. Let r = 21 - g. Which is the smallest value? (a) 3\/5 (b) -1\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let c be -1*(z - (18 + -3)). What is the greatest common divisor of c and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.089 - 0.07. Let c = a - -0.081. Let v be (6\/5)\/(46\/(-20) + 2). Sort v, -0.4, 2, c.\nAnswer: v, -0.4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 334*x - 4564 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 + 200912911*p**3*w + 366285702*p**2*w wrt p.\nAnswer: -24*p + 1205477466*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9865 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/9)\/(2\/6). Suppose -4*x + 4 = -3*x. Let h = 1933\/8 + -242. What is the third biggest value in x, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169.8 times 0.5\nAnswer: -84.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -400192464 by -7.\nAnswer: 57170352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 969969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/((-2)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2063 + 72 + 799 + 176)*(0 - 1 - 2)*(-2 + 0 + 4)*(h - 5*h + h) as u + o*h and give o.\nAnswer: 55980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:55 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 74*k**2*o*u + 4*k*o*u**2 + k*u + 1022*o*u**2 wrt k.\nAnswer: 148*k*o*u + 4*o*u**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/8*4 + -2. Calculate the least common multiple of (-18)\/(-27) + n\/3 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 310. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1070 and 36732565?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (-2 - (-3 + -2)). Suppose -26 = -r*i - 2*l, 7 = -3*i + 2*i + 4*l. Calculate the greatest common factor of 40 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137895235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/(-3))\/((-4)\/4*1). Suppose -m*j + 8 = -22. What is the remainder when 10 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*-2)\/(17*(-195)\/1326)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-24))\/(1\/32). Let h = d + -12. Suppose 20 = 2*p - 2*k, -h*p - 3*k = -3 - 16. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1380)\/196 + 7)*2 and -4\/7.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472156057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-42)\/20)\/(-21))\/((-2)\/16)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 267 * 78\nAnswer: 20826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/251335 and -37\/11690?\nAnswer: 502670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 266066 in ascending order.\nAnswer: -4, -2, 266066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 30*g - 4 = 0, -5*f - 6*f = -2*g + 25 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d - 10 + 10)*(-5 + 1 + 3)*(214 - 132 - 103) to the form g + v*d and give v.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7 = -2*w + 24, 3*w + 20 = 5*g. Solve k + 461 = w*u + 454, -2*k + 1 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 60. Let v(o) = o**2 - 4*o + 1. Let q be v(5). Suppose t = k - q. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4872 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2\/4 - 3603*v\/4 - 70623\/2 = 0.\nAnswer: -38, 1239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142167 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - l**2 - l. Let n be m(2). Let a = -2 - n. Let y be (-3)\/(4 - (-57)\/a). Solve -o = 3*o + y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-34) - ((-68)\/(-8) - 2). Let f = 0.1 - 0.2. What is the closest to f in 2\/5, t, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 744 (base 15) to base 4\nAnswer: 121213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256641.\nAnswer: 3, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w + 0*w - 2*w + (w + 0*w + 0*w)*(-5 + 3 + 0))*(-4*w - 3*w + 4*w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.34 + -0.22. Let k = -0.62 + f. Which is bigger: 12 or k?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -99. Let u(q) = 3*q**2 + 18*q. Let s be u(j). What are the prime factors of 9\/(-12) + s + (-662)\/(-8)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 10243 = 1407. Let w = c + -462. Solve w*n - 23 - 12 = -3*l, n = 3*l - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 870045?\nAnswer: 25231305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43009 = 254*y + 441*y + 312*y + 13806 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/184 and -77\/496.\nAnswer: 11408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*a - 18 = 0, -7*i + 5*i + 26 = 4*a. Let b be (-85)\/(-34)*(-1 + 3). Solve -2*z - 4 = -2*w, -2*z = -i*z - 2*w - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13*z. Let t(v) = -26*v + 9. Let s(g) = 26*g - 13. Let i(p) = -2*s(p) - 3*t(p). Give -5*d(k) - 2*i(k).\nAnswer: 13*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 450 divided by -2679\nAnswer: -150\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(78)*-1 - sqrt(78))\/(-1*sqrt(200)))\/(-6*(sqrt(336)*-1)\/sqrt(7)))**2.\nAnswer: 13\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -30. Solve v*o - o + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138867595.\nAnswer: 3, 5, 29, 353, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*f)*(5*f**3 - 14 + 12*f**3 + 15).\nAnswer: 34*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.888*2.\nAnswer: -7.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 193 - 185. Let i be (-5 - -2)\/(2 - 3). Let b = i - 3. Sort 1, d, b in increasing order.\nAnswer: b, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 247 = -79*j + 56*j, -53 = 3*n + 4*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 44 (b) 73 (c) -2\/19 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1))**(-2\/29)\/(l**13\/l*l*l*l*l**2\/l*l))**(-10))**43 assuming l is positive.\nAnswer: l**(211130\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 787, 771, 743, 703?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459672848 is divided by 455?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2 - 30065*y + 60126 = 0.\nAnswer: 2, 30063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 4*c + 13, 150*i - 145*i + 15 = 5*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 50 + 12*f)*(-5 + 2 + 2*f + 5).\nAnswer: 24*f**2 + 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Let z = 30.51 - 35.51. What is the closest to -1\/3 in m, z, 2.8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-69)\/138?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q - 3 = 0. Let w(t) = t. Let m be w(q). Let j(u) = 4*u. Let z(d) = -5*d. Give m*z(o) - 4*j(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102108382 is divided by 1512?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(-1*sqrt(242)))**2.\nAnswer: 7\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042 (base 5) in base 15?\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1406 and 139786.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 3 + 12\/(-3) + 3. Let p = 16 + -17.4. Let v = p + 0.7. Is y >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-12)*4*1\/10\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.42, -3, 16, -0.3, -1\/8?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 - 78?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 35*x - 88. Let y be w(31). Calculate the highest common factor of 261 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01673 and -19170.\nAnswer: -19170.01673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-26)*t**(-1\/8)*t**(-2)*t*t*(t**(-2\/3))**(-19\/4)\/((((t*t\/(t\/(t**(-1\/10)*t)))\/t)\/t)\/(t\/t**1*t)) assuming t is positive.\nAnswer: t**(497\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6351604 divided by 1587901\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 + 23*h - 12*h + 9*h**2 + 4*h**2 in the form r*h**2 + k + l*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182.7 - 213. Let r = y - -30. Which is the closest to 1? (a) r (b) -0.06 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67913\/4290 + -2\/715. Find the common denominator of 47\/18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((1\/(-6))\/((-24)\/36)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 6784.\nAnswer: 74624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 859 and -0.03?\nAnswer: -25.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 9\/(-3) - 275\/91. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74\/3 - -25. Let j(b) be the third derivative of a*b**3 + 2*b**2 + 0 + 0*b + 1\/20*b**5 + 0*b**4. Find the first derivative of j(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3910\/183 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110001210121210 + 10?\nAnswer: -2110001210121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7756513 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/2 (b) 18 (c) 1\/15 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23941 and 1076.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26346b (base 16) in base 11?\nAnswer: 1460150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -0*s. Calculate the smallest common multiple of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 21 - 3 = -v - 6*l - 8, v - 140 = -26*l for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6361*r - 133 = 6342*r. Solve -5*m - 2*x + r*x = -15, 0 = -3*m + x + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 + 5*j**2 + 6*j + 1. Suppose -3*q = -5*k + 18, 5*q - k + 13 = 5. Let m(v) = v**3 - v**2 - v. What is q*h(b) - 5*m(b)?\nAnswer: -2*b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4012*d + 3483*d - 7487*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*s = -63*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + 484\/33 + -10. Suppose 2*x + z = 3*z - 34, 3*x + 50 = s*z. Is x < -172\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(70)\/sqrt(7)) + (sqrt(33)*3)\/sqrt(11).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 77356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 112?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -82*i - 1. Let x be j(-9). Suppose -201 + x = 4*z. Suppose 2*y = 2*r - z, -5*y - 29 - 18 = -r. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*z + 808, 5*c = -5*z + 1858 + 2122. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*o - 39 + 17 = 0, -4*o + 16 = 0. Solve n*x + 1 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 140 = -10*t. Is 660\/t + 6\/(-7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1963)\/(-390) - 2\/6. Let p = o - 21\/5. Factor p*c - 1 + 1\/2*c**2.\nAnswer: (c - 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {e: 1, z: 3, i: 6, l: 3, r: 1}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3632658 is divided by 1621?\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104.888 + 103.988. Let w = -0.1 + 0.4. What is the third smallest value in w, x, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/50 - 299*o**4\/30 - o**3\/15 + 299*o**2\/5 + 1028*o. Factor y(q).\nAnswer: 2*(q - 299)*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5863 divided by -41.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 15) to base 4.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/90 + 3\/75*-5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 + 1497 = -67*g + 278 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 8*j + 717. Let y(n) = -2*n - 1. Calculate -l(w) + 4*y(w).\nAnswer: 2*w**2 - 721","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077*y = 1072*y - 8300. Let b = -46479\/28 - y. Suppose 0 = -m - 5*z + 25, -2*m + 25 = m + 5*z. Is m bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-1 - 12 - (293 - 312)) + 88 + 1.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -142*m*t**3*v**2 - 12*m*t**2*v**2 - 15*t**3*v**2 - 210*t**3 - 10*v**2 wrt m?\nAnswer: -142*t**3*v**2 - 12*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.167 - 552.687. Round c to the nearest integer.\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 15 = 5*p. Let l = -16 - -21. Suppose -l*d + 6 = -p*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 83572*d - 186213408.\nAnswer: -4*(d + 2536)*(d + 18357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 19. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322283 is divided by 774042?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504) + 5*(sqrt(504) + 1*sqrt(504) - sqrt(504)) + sqrt(504))\/((-1*sqrt(88))\/sqrt(11)).\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8273 bigger than -57920\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 + h**2 + h + 1. Let w = -12 + 12. Suppose 3*d + d = w. Suppose -2 = -4*i + 14, d = 3*m + i - 1. Calculate c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {m: 2, a: 3, x: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -d - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/70974 and -65\/136?\nAnswer: 4826232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*v - 9215 = 497*v - 2195 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -16 (c) -6 (d) -141.5 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124774 = 223*u + 136593 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9667*m - 129. Let h be l(-8). Is h*((-170)\/(-25) + -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 2 - 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3553 + 3556. Solve -a*x + 20*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.7, 1\/4, 3453?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 202 + 238. Let b = 116 + r. Let o(i) = 12*i - 6. Let p be o(b). Calculate the greatest common divisor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4538039 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 - 3*b**2 + 2*b + 12. Suppose 52*m + 9 = 49*m. Does 38 divide w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 4728*s + 114044. Calculate a(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18163 plus 344359?\nAnswer: 326196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -95.\nAnswer: -17\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 31*m**2 + 243*m + 25. Let j be r(-15). Let y(p) = p**3 + 4*p**2 - 6*p - 7. Let d be y(-5). Let o be -1 + d*9 + 0. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 2292*j - 70560.\nAnswer: 2*(j - 30)*(j + 1176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/2 - (-14 - -14). Let p(g) be the second derivative of 2*g**4 + 1\/4*g**2 + 8\/5*g**5 + 0 - b*g + g**3. Determine t, given that p(t) = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**4\/24 + f**3 + f**2. Let g be n(0). Suppose g*q = 2*q + 124. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 9*q + 13 = -5*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, h: 2, q: 9}. Give prob of picking 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 16*y**2 + y + 26. Let x(h) = h**3 - 8*h**2 + 13*h - 6. Let f be x(5). Calculate the remainder when 35 is divided by r(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:41 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000106939 rounded to seven decimal places?\nAnswer: -0.0001069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - 5\/(450\/(-470)). Suppose m - 2*n + 0 - 5 = 0, 0 = 5*m - 4*n - 19. Sort -20, -5, t, m in descending order.\nAnswer: m, t, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/85)\/3)\/(196\/(-1666))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 18*f - 6. Let u be n(14). Suppose 2*p - p = u. Calculate the common denominator of -11\/6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 0.5, 118, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 - 327*l - 1647. What is k(-80)?\nAnswer: -1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691777 is divided by 180.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5685*i**2 + 2*i - 11376*i**2 + 5693*i**2. Let c(b) = -b + 1. What is 4*c(o) + 2*p(o)?\nAnswer: 4*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28470 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 x = -2065 - -2995. Suppose -p = -2*v + 7, -3*v + 14 = -3*p + 2. Suppose -v*t = 3*t - x. What are the prime factors of t?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -2, -52, -3, 3 in descending order.\nAnswer: 3, -2, -3, -52, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -28688 (b) 1\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 4*u - 9, 3*z - 22248 = u - 22254 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 4 (b) -2\/11 (c) -60 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480383615 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107.99999877 - 108. Round l to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*x - 4*i + 14 = 0, -2*x + 13 = 5*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/8)\/j*j*(j\/j**(-1\/24))\/j*j*j*j*j)\/(j**(-16)\/j**(-1)))**(-5\/4) assuming j is positive.\nAnswer: j**(-1135\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18218228693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 7 - 16 + 0*a**3 - a**2 - a**3 as t*a + z*a**2 + k + p*a**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {w: 1, p: 1, g: 2, i: 3, y: 4, c: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 195942 = 4*k, 2*k - 156756 = -15*h + 11*h. Round h to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 8:17 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 4*s - 10*s**2 - 5*s - 4*s**2.\nAnswer: -13*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 7?\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = 5*z - 1149990, 2*z + 4*o - 459992 = 0. Round z to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {e: 1, x: 1, v: 1, l: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c - 2*f + 10 = 0, -c = f - 4. Find the third derivative of -33*x**c + 2257*x**4 - 2257*x**4 - 9*x**5 wrt x.\nAnswer: -540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 3*k - 1. Give g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 241885103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u + u + 2*u)*(28 + 32 + 152 + (2 - 1 - 2)*(0 - 2 + 3)).\nAnswer: -1899*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**4 - 4*g. Let z(a) = 971*a**4 + 8*a + 144. Let t(c) = -2*m(c) - z(c). What is the first derivative of t(u) wrt u?\nAnswer: -3876*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2*r**3\/27 + r**2\/9 + 6. Determine a, given that n(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Find the second derivative of -t*n**2 - 2*n**2 - 19*n - 11*n**5 + 6*n**2 wrt n.\nAnswer: -220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3806116 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2587502, -2587487, -2587472, -2587457, -2587442?\nAnswer: -2587427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.57309214 to 3 decimal places.\nAnswer: -1.573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 a factor of 421632984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13694, -27386, -41078?\n\"Answer: -13692*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 2*d**2 - d**2)*(-8*d + 31 - 31) - 4*d**3 - 13*d + 13*d as r*d + h*d**3 + i + q*d**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjxm when four letters picked without replacement from {j: 1, m: 2, q: 1, x: 1, w: 1, u: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2376 and -13\/12280.\nAnswer: 3647160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 7. Let j be n(7). Let t(z) be the first derivative of 6 + j*z + 1\/3*z**3 + 0*z**2. Let o(f) = -37*f. What is t(o(g))?\nAnswer: 1369*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/7? (a) 2\/5 (b) 1\/2 (c) 89 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {o: 1, g: 2, n: 1, q: 1, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -534*m**2 - 4270*m + 17. What is f(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(48)\/sqrt(2)*-2*-4)\/((6*-1*sqrt(84))\/(sqrt(28)*4)).\nAnswer: -64*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.83 and 0.081.\nAnswer: -0.31023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 15. Let c = -31 - l. Solve c = -3*z - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-459)\/170 + 895\/358.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 10. Let s be o(8). Suppose -s*b = 3*b + 10. Put b, 4, 7 in ascending order.\nAnswer: b, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n - 83 = 272. Let x(a) = -6 + 4 + 8*a + 3 + 4. Let d(o) = 4*o + 3. Let s(w) = n*d(w) - 3*x(w). Let t(f) = -6*f. Determine t(s(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*x**4 + 206*x - 1441*x - 820*x**4 wrt x?\nAnswer: -8424*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let z(o) be the third derivative of 0*o**3 + 0*o + 1\/60*o**5 + 0 + 1\/120*o**6 + o**2 - 1\/24*o**4. What is -2*j(w) - 2*z(w)?\nAnswer: -2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose s*c + 5*c = -3*k + 37, -11 = c - 4*k. Suppose 0 = -c*q - 0*q + 120. Calculate the greatest common divisor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 10*a - 10. List the prime factors of k(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 2) + 2 - -3. What is the third derivative of -2*r**2 + 0*r**6 - r**6 + 3*r**l wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233504 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 6) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -645, -3641, -8633, -15621, -24605, -35585?\n\"Answer: -998*j**2 - 2*j + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.702892 to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-56) - 0)\/((-19)\/(-228)). Factor 15\/7*b + 9\/7 + d*b**2 - 3\/7*b**3.\nAnswer: -3*(b - 3)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4859 + a6?\nAnswer: -47a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.016751 - 0.021\nAnswer: -0.004249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 9. Let p be u(8). Factor -16*o**3 + 16*o**2 - 11*o**4 - p*o**4 + 22*o**4.\nAnswer: 4*o**2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372207 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 429453 smaller than 429446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by ((-32)\/120)\/((-4)\/10)*18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96929a (base 15) to base 11\nAnswer: 405727a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12760 or 12208?\nAnswer: 12760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33857 - -34697. What is the highest common factor of a and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -26. Let d be (4*2)\/((-2)\/3). Let w = c - d. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/13 (b) 0.5 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 18495664 and 18495665 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((1254\/(-76))\/11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11535796379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 1 (c) 2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168468806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*k + 24 = 0, 4*k - 28 = 4*t - 7*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 2*d**4 + 0*d - 3 - 4*d**2 + 5*d**2 to k*d**4 + o + a*d + f*d**3 + w*d**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -8. Let c(o) = 14*o - 151. Let f be c(11). Let y = g + f. Which is bigger: -5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {x: 3, h: 1, p: 1, e: 2, j: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*r + 33*r + 5808. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -13*r + 12. What is the tens digit of g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -14, -4, 146.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358671 divided by 6.\nAnswer: -119557\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172334891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 30 = -4*s. Let o(t) = -t + 13. Let g be o(s). What is the greatest common divisor of 21 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 263, 242, 221, 200?\n\"Answer: -21*k + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3. Let h = 9 + y. Suppose 0 = -k + 5*r, -4*k + 2*r = -37 + 1. What is the smallest common multiple of k and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1777 + -1735. What is the least common multiple of d and 414?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 130*m**2. Let a(z) = -20*z**2. Determine w(a(h)).\nAnswer: 52000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21252484543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)\/(sqrt(25)\/sqrt(5)))\/(sqrt(9)\/(sqrt(3)*3)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 8*s + 11. Let q be r(-4). Let m(x) = -27*x - 561. Give m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*p - 4*r, -2*p + r = 2*p + 9. Let k be 375\/p*3\/(9\/(-26256)). Round k to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 10:54 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/240 + u**4\/96 - u**3\/12 + 6*u**2. Determine a, given that g(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58633 + -39313. What are the prime factors of c?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-9)\/(-18))*2. Is 20 a factor of (-1400)\/21*((-30)\/g)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -9a?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 23*j + 41. Let w(f) = -f**2 + 22*f - 41. Let v(i) = 6*m(i) + 7*w(i). Let d be v(13). Is -3 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 7) in base 9?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/21*20\/(-40)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*j)*(-77*j - 203 + 203 + 2 + 4 - 2*j - 4 + (0*j + 6*j - 8*j)*(2 - 1 + 1)).\nAnswer: -249*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u - 23. Let v be n(-4). Let l(r) = r**2 - 3*r - 7. What is l(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196*g = 1182*g + 126 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 3167*z**2 + 9*z.\nAnswer: -3167*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 15*k - 25. Let s be h(2). Suppose 0 = -4*a - 3*o + 13739, -s*a + 2*o + 2*o = -17197. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:19 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166785290099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Let b(v) be the first derivative of -3*v**2\/2 + 3*v + 32. Let f(i) = 2*i - 2. Calculate s*b(a) + 7*f(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -13212.3444?\nAnswer: 79274.0664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -13.5. Let d = 14 - y. Which is the nearest to d? (a) 5 (b) 0.5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23058.4246 to the nearest integer.\nAnswer: 23058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:44 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.564 + 0.036. Let t = 4.5999901 - l. What is t rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23093685 and 10065.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37\/58 - -4\/29. Which is the nearest to -4? (a) 4\/7 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/4 - (-78)\/24. Let o be (8\/(-3))\/(4\/(-18)). Suppose z + o = q. Calculate the smallest common multiple of q and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 13. Let a be x(6). Let b(h) = h**2 + 19*h + 6. Let m be b(a). What is the units digit of ((-4)\/14)\/(4\/m) + 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127233 (base 11) to base 5\nAnswer: 22344203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4148800 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -a + 219, 19 + 6 = 5*n. Suppose 3*f = -f - v + a, 5*f - 5*v - 305 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a - a)*(-3 + 3 + a) + (a**2 - a**2 - 2*a**2)*(2 - 38 - 13).\nAnswer: 99*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*u - 10*u = -443, -3*j + 3*u - 447 = 0. Let m = -148 - j. Sort m, 5, 4 in increasing order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 767022317964 and -0.1.\nAnswer: 767022317963.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*u - 4*c + 15, 5*c = -3*u - 21. Let b = 16 + u. Suppose -64 = -b*v - 0. Solve 3*w + w = v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 19 = -p. Let m = p - -4. Let x(a) = 3*a - 2. Is x(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1244 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1904 and 2086?\nAnswer: 283696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2))**(2\/7)\/((l\/(l**(-16)*l))\/(l\/(l**(-1\/2)*l))) assuming l is positive.\nAnswer: l**(-211\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c + 5. Let a = 13 - 25. Let t(m) = -m**2 - 8*m - 7. Let y be t(-6). Let s(g) = 22*g + 12. Calculate a*r(j) + y*s(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + 174 = 0. Suppose y + 2*y = b. Suppose -h = n - 0*n - 6, -11 = -3*n + 4*h. Solve -n*c + y = 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 78*b**2 - 2*b + 164. Calculate j(78).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -5*(4*(sqrt(11) + 2) + 2))*1)**2.\nAnswer: 2000*sqrt(11) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - (4 - -11))\/(2\/245). Let i be d\/15 - 2\/(-3). What is the units digit of 1 - (i + -4) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + 3*s**2)*(621*s - 782*s + 2879*s + 2281*s - 568*s).\nAnswer: 4431*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 20*c - 230. Solve 0 = -c*o + 12*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9 take away -139?\nAnswer: 151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2217, 4439, 6675, 8931, 11213?\nAnswer: 13527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 19*w - 238. Let l(v) = -425*v**2 - 855*v + 1. Let g be l(-2). Give c(g).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2030, -8122, -18276, -32492, -50770?\n\"Answer: -2031*b**2 + b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.9149ml?\nAnswer: 0.0469149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-4)\/6*-1377*40\/(-1440))\/(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1150.72.\nAnswer: -3452.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*t + 22 = 2*c, 19 = -2*t + 3*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(-3 - 1 + 2) - 5 - 6 - 8 + 6 - 5 + 3 + 1 - 1 - 3)*(5*n**3 + 0*n**3 + n**3).\nAnswer: -84*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/3? (a) -1 (b) -1\/4 (c) -3\/4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 131? (a) 1328 (b) -8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190 + -79. Which is the third biggest value? (a) 0.5 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.28 + 0.18. Let h = 1 + q. Let m = 2 - 4. Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2061 + 2061.15228. What is t rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {w: 1, x: 3, j: 3, c: 1, a: 5, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-24) - (-375)\/(-770) and -32\/33.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*v - 2*n, 5*v - 3*n + 6*n - 57 = 0. Let m(f) be the first derivative of 3*f**2\/2 - f + 2. Calculate the remainder when m(6) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Suppose 0 = d*x - 12, -3*i + 5*x - 5 + 2 = 0. Suppose 8*y**2 - 2*y - 9 - 9*y**2 - i*y = 0. What is y?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/9)\/g)\/(g**(-30)\/g)*g*g\/(g\/g**(-21))*g\/(g*g*g**(23\/4)) assuming g is positive.\nAnswer: g**(161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 49387128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -16 + (53 - 27) + -11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**8\/6720 - s**7\/504 + s**6\/120 - s**5\/120 + s**4\/8 - 3*s**2. Let p(b) be the second derivative of w(b). Calculate p(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1120 and -43\/336.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 81*o**3 - o**2 - o + 1. Let i = -52 + 16. Let m = 37 + i. What is the units digit of d(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - h**2 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 465599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:41 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1252157?\nAnswer: 1\/1252157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/78*714\/833.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -19. Solve o*f = 4*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -411*p - 501. Does 21 divide a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 4, -1082, -0.0383 in ascending order.\nAnswer: -1082, -4\/3, -0.0383, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 7*c + 8*c - c - 16*c to the form q*c + a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -9 + 8 - 3*j + 2*j**2 + 2*j. Let m be t(2). Solve 4 = m*f - f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003677 rounded to five decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 399*l**2 + 1 - 196*l**2 - 199*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3595, 3596, 3597, 3598, 3599, 3600?\nAnswer: 3601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l = -6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 27*o**2 - 21*o + 20. Give g(2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -45. Solve -3*z + 15 = w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 2*d + (0 + 1 - 3)*(1 - 3*d - 1) + (12 + 9 + 3 + (0 + 1 + 0)*(-5 - 1 + 3))*(-3*d + 4*d - 2*d))*(-d**2 + 4*d**2 - 2*d**2).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -11*x**7\/210 - 11*x**4\/24 - 12*x**2. Find the second derivative of z(m) wrt m.\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030397 rounded to 4 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 5, f: 4, p: 1, o: 3}. Give prob of sequence up.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 4*p**2 + 3*p + 2. Let r be f(-3). Suppose 18 = r*i - i. Let b be i + 1\/(-1 - -2). What is the highest common factor of 76 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/11 and 73\/420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*g**3 - 4136*g**2 + 964*g + 784.\nAnswer: 4*(g - 49)*(3*g + 1)*(7*g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013223 (base 7) to base 16.\nAnswer: 1d96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 + -3?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/1480*-70)\/((-2)\/(-8)*2).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 8576. Let n(a) = -2*a. What is n(l(z))?\nAnswer: -4*z**2 + 17152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 1324 = -2326. Suppose -3*s - 4*u + 222 = 0, 5*s - d = 2*u - 7*u. What is the highest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604313 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5 + 1. Let u = i + -16. Let k be (-2424)\/u + 6\/(-33). What is the greatest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -26. Suppose -5*s + 3*y + 85 = -2*y, 5*y - q = -s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1733 + -938. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o**3 - o**2 - o. Let m = -185513 - -185515. Calculate the lowest common multiple of d(-1) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87.999999644 - -88. Round m to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -179, -372, -587, -824, -1083, -1364?\nAnswer: -1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3033*l = -3048*l + 60 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(75) + 3 + sqrt(75) + 5.\nAnswer: 5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -87\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/24 - 4*u**3\/3 + 2*u**2. Let v be w(0). Let z = v - -5. Which is greater: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 30*k - 35.\nAnswer: 5*(k - 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 - -1)\/(2 + -1). Suppose -4*n = -4*d + 3*d - t, -2*d + 12 = n. Suppose -5*m + 2*m + n = 0. Solve -7 = -m*j + 3*r, 3*j - r - 18 = -4*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -772, -1281, -1524, -1501, -1212, -657?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22260 <= -23407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.300371 - -2315115.699629. Let f = 2315121.4000003 - o. Let v = -0.4 + f. What is v rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3291852, 6583704, 9875556?\n\"Answer: 3291852*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 3 + 3)*(-2*p**3 + 3*p**4 + 2*p**3).\nAnswer: 48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 2 k when four letters picked without replacement from {k: 2, n: 1, g: 3, t: 13}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 2*j - j)*(0 - 5*j + 0) + 1 - 1 - 5*j**2 to the form g + n*j**2 + h*j and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427251 is divided by 313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w - 8, -3*h = -2*w + 253. Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116110 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dflsl. Give prob of picking 1 l and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 29 = 15*a - 20*a, -2*a - 10 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q + 148 = -2*t, 0 = -4*t + 16. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654.424 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 5*j + 4*b, 3*j = j - 3*b + 56. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 331*y**2 - 19*y + 51. List the prime factors of v(5).\nAnswer: 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 272 in 0, 3\/5, -1, 2, -2.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35116600 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 1. Let l = 0 - x. Suppose -3*g - 33 = -3*v, 0 = -v - l*v + g + 25. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 9) to base 10\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = 93. Let c = r - -30. Let m = 1 + -1.5. What is the second biggest value in m, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 6 + 14. Suppose 5*u - 9 = -3*t + 95, -u = 2*t - 74. What is the hundreds digit of (-18 + (-16)\/4)\/(a\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/15 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1269 or 1268?\nAnswer: 1268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 28. Let j be h(24). Suppose -j + 1 = -3*v, -3*v = -5*r + 11242. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (2 + -5 + 1) - (772 + -763)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4497976 rounded to four decimal places?\nAnswer: -0.4498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -11 - (-29 + 16)) + -5 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*-3*32\/216?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22 (b) -2 (c) 2\/13 (d) -0.33 (e) 7 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7323 is divided by 334?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3030000 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 9*j**2 - 6*j.\nAnswer: 3*j*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12984 divided by -3?\nAnswer: -4328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5641369 to the nearest integer?\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 21*z**2 - 74*z + 18. Let n be s(24). Let j be (-274)\/n - (-14)\/(-105). What is the second biggest value in 3, 1\/2, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131122302 (base 5) to base 2.\nAnswer: 10011101100011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -91*d**2 + 30463*d + 7308. Determine i(335).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 588361, 588365, 588371, 588379, 588389, 588401?\n\"Answer: w**2 + w + 588359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/30 - u**2. Let s(p) = p + 2*p - 4*p. Determine s(x(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 37*b - 883. Determine z(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -460283889075 from 0.1.\nAnswer: 460283889075.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105989233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2236 divided by 559?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5\/2 - 65*t**4 - 825*t**3\/2 - 990*t**2 - 810*t = 0. Calculate t.\nAnswer: -18, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032273046 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861646287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2422.179 nanoseconds?\nAnswer: 0.0000000006728275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2610985 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 4. Suppose 3*l = -2*l + i*f + 89, -62 = -4*l - 3*f. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s - 2350. Let a(k) = -9*k + 940. Let q(b) = 5*a(b) + 2*l(b). Let p(r) = 102*r. Let z(o) = 51*o. Let n(j) = -2*p(j) + 5*z(j). Give n(q(d)).\nAnswer: -255*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -7, 11, 51, 119, 221?\n\"Answer: i**3 + 2*i**2 - 11*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (30\/120)\/((-1)\/(-39)) and 13\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiziiz. What is prob of picking 2 i and 1 z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdhjhghgqjgggdg. Give prob of picking 4 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -299620 at most -299625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*f**3*z**3 + 222*f**3 + 11197*f**2*z**5 + 36786*f**2*z wrt z.\nAnswer: 2130*f**3*z + 223940*f**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 115, -0.5, 35, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13425, -13433, -13455, -13497, -13565, -13665, -13803, -13985?\nAnswer: -14217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**0\/y)*y\/((y*y**5)\/y))\/(y**(-1)\/((y\/(y*y**(-5))*y*y)\/y)) assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Let d(y) = 2 - 384*y**o + 16*y - 14 + 383*y**2. Calculate d(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 21*q**2. Let t(o) = 2 - 35*o + 41*o - 2 + 5*o. Give t(u(s)).\nAnswer: 231*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 1 + 8*i + 3)*(13*i + 24*i + 7*i) as t + b*i**2 + u*i and give b.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 2 + 3 - 2*r**2 + 2*r**3. Let x be d(1). Let a(t) = t - x*t + t**2 + t. Let j(l) = -6*l**2. What is j(a(n))?\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/642 and 80\/51.\nAnswer: 10914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 26*a. Let p(r) = -3*r. Let n(b) = 4*l(b) + 36*p(b). Determine n(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r - 2. Let z(h) = 2*h - 19. Let u be z(13). Let i(m) = -4*m - 2. Suppose 9*v + 30 = 4*v. Determine u*i(a) + v*n(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)\/((x*x\/(x\/x**(6\/5)))\/x))**(3\/22) assuming x is positive.\nAnswer: x**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113800 and 19346.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 16) in base 9?\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1 + 0 + 0. Let l be r(5). What is the second derivative of -q - 3*q**4 + 7*q + 5*q**l + 0*q**4 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114350224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 1059 + 1059.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/3 - 3*f + 27. Let c(x) = -4*x**2 + 0*x**2 + 3*x**2. What is z(c(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8992\/320 + 9\/(-18) - 6\/10?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/30 - (-90)\/108. Let i = -9 - -12. Let w(z) = -1 - z + 1 + 1 - i. What is w(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/5 < 152\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)*u**(-2\/15)*u**(-1\/4)*u**(1\/9)*u)\/((u*(u\/((u*u**(-2\/5)\/u*u)\/u))\/u)**50)**26 assuming u is positive.\nAnswer: u**(-327577\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91420 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - 10 - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqsqess. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59007*z**2 - 59007*z**2 + 113*z**3.\nAnswer: 113*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -304*c - 52. Let i(w) = 301*w + 78. Let h(a) = 2*i(a) + 3*o(a). Let z(k) = -16*k**2. Give h(z(g)).\nAnswer: 4960*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253714 is divided by 253706.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = r + r - 9466, 4*r = -4*z + 18948. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -843033 or -843037?\nAnswer: -843033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.58*2.67\nAnswer: 4.2186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/3))**(-41\/4)\/(k*k**(1\/3)*k\/(k\/k**1)))**13 assuming k is positive.\nAnswer: k**(-715\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527717300 rounded to the nearest one million?\nAnswer: -1528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((7 - (-10 - (-22 - -2) - 6)) + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 - -222. Factor -4*d**4 + 9*d**4 - k - 55*d**3 + 55*d + 188*d**2 - 96*d**2 - 47*d**2.\nAnswer: 5*(d - 10)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -548.232669848 and -0.134?\nAnswer: 548.098669848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -8*q + 20. Suppose 0 = -0*v + q*v - 115. Solve -t + 3*u + v = -5*t, 4*t - 5*u - 17 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 3390?\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {p: 1, m: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 29\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 63*y**2 + 74*y + 418. Let j be d(-64). Which is greater: j or -662\/3?\nAnswer: -662\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19248*a + a + 19494*a - 9428*a.\nAnswer: 29315*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 + 51192.\nAnswer: 51193.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Let f be ((-4 - -4)\/(-2))\/(2 - 1). Solve f = -5*h - c*y - 3*y - 29, 4*y = -2*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 6. Let m = 0 - 5. Calculate the remainder when k(-8) is divided by m*((-12)\/5 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.17 + 1.83. Put -3, -2\/7, b in decreasing order.\nAnswer: b, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 30 + 30 = 0. Put n, -8, 0 in descending order.\nAnswer: 0, -8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -0.35237241.\nAnswer: -5.35237241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 90*a = 358*a + 132*a + 28764 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c8 - -3264?\nAnswer: 2c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-2 + -2)\/4). What are the prime factors of (z\/10)\/(3\/282)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(95\/114)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.8 - -17.11. Let r = 2.61 - x. Is -4 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = 147 - 180 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*a + 811 = -16*a - 3949 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 12*w - 2. Let x be b(-9). Suppose 2*m - 50 = 2*f, -2*m + 41*f - 43*f + 50 = 0. Is x <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q**5)\/(q**(-2\/3))**(-1\/49) assuming q is positive.\nAnswer: q**(1321\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 28 + 84*l**4 - 10 - 2*l**2 as j*l + m + x*l**4 + t*l**3 + g*l**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1452912724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2729 - 4?\nAnswer: -2730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-5 - (6 - 15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1092)\/(-260) + (-12)\/10. Suppose -2*i + 22 = k*z - 8*z, -3*i = -z - 7. Which is the third smallest value? (a) i (b) -1 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 156*t**2 + 2*t + 4. Let x be n(-2). Let q(r) = 624 + r - x. Let d(s) be the third derivative of -s**4\/4 - s**2. Determine d(q(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 411\/69 - 14\/(-322)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 29.6 in decreasing order.\nAnswer: 29.6, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -610, 0.17, 2, -0.5, 4, -0.1 in descending order.\nAnswer: 4, 2, 0.17, -0.1, -0.5, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, j: 3}. Give prob of sequence jjg.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/7)\/((-24)\/(-84)). Which is greater: -9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 404 + 1131?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.168 - -0.232. Let f = 26 - o. What is the second smallest value in 0.9, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-42))\/((3\/(-3))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -4*g + 6*g, -2*t - 3 = 5*g. Let h(p) = 13*p**3 + 6 - 42*p**3 - p - 5 - 15*p**3. Determine h(t).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/13)*w)\/w)**(19\/5)*w*w**5*w*w*w**30 assuming w is positive.\nAnswer: w**(2432\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 263?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/25 (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547151449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.52 + -0.12. Put -3, g, -2\/5 in descending order.\nAnswer: g, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t, 4*t - 7105 - 12335 = -2*j. Suppose 5*c + 3*v + 1546 = 25851, 0 = 2*c + v - j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16976 - -16962. Put -101, z, -2 in descending order.\nAnswer: -2, z, -101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 2*l**7\/735 - 5*l**6\/42 - 72*l**5\/35 - 136*l**4\/21 + 1024*l**3\/21 + 2*l**2 - 307*l. Let w(n) = 0. Calculate n.\nAnswer: -4, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6, -4*a - 12 = l - 3*l. Let c = -3243\/4 - -804. What is the common denominator of (85\/(-20))\/(a - 2) and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40193137 >= 40193163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.041 (b) 7 (c) -77 (d) 549 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 12*r**2 - 23*r - 36. Let d be p(9). Which is the closest to d? (a) 0.27 (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 900 + -7167\/8. Let o = -400286331\/30485 + 65653\/5. Let l = -310955\/24388 + o. What is the common denominator of z and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -2, -0.5, 7\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 0*m + 0 - 2\/9*m**3 + 20\/9*m**2 = 0?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2275 = -34*u - 2683 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -3*b - 0*w, 0 = -5*w. Let j be (0 + 1 - -1) + 2. What is the lowest common multiple of b and j - (-2 + 3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112.4 - -112. Let u = -4.3 - 0.7. Let a = u - -3. Sort -0.2, w, a in decreasing order.\nAnswer: -0.2, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048021021 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20904 and 62712.\nAnswer: 62712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102\/23, 0, 53 in decreasing order.\nAnswer: 53, 0, -102\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1520696, 0.1, -20 in increasing order.\nAnswer: -1520696, -20, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 9*c**2 - 20*c + 42. What is the tens digit of m(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48644, -48660, -48680, -48710, -48756, -48824, -48920, -49050?\n\"Answer: -r**3 + 4*r**2 - 21*r - 48626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0 + 10*h - 2*h**2 + 3\/2*h**4 + 0*h**3. Let a(i) = i**2. What is m(a(v))?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -38561?\nAnswer: 38561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8614, 8630, 8650, 8674, 8702, 8734, 8770?\nAnswer: 8810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 84? (a) 2\/9 (b) 9 (c) -3 (d) 5 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1019*r = 1015*r + 26, -4*t + r + 25 = 0. What is the remainder when 4\/(((-4)\/(-2))\/20) is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -27*l**3 - 13*l**2 - 7*l + 3. Let z(p) = 18*p**3 + 9*p**2 + 5*p - 2. Determine -5*n(o) - 7*z(o).\nAnswer: 9*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(72)*-1*-3 - 5*(sqrt(72) - (sqrt(72) + 1)) - (-4 + -2*(sqrt(72) + 3 - sqrt(72) - sqrt(72)))))**2.\nAnswer: 180*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 423 = 5*j, 2*j - 2*k = -j + 253. Let z be j\/6 - 5\/10. Calculate the highest common factor of 35 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 164 in -4\/7, 5, 3, -2\/11, -8, 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1892, 1700, 1520, 1358, 1220?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 88 - 23 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(168\/35 - 5). Let p(m) be the second derivative of 1\/3*m**4 - 5*m + t - 2\/3*m**3 - 4*m**2. Factor p(x).\nAnswer: 4*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*2*sqrt(102)*-4)\/(-1*sqrt(294)*6 + (-4*sqrt(294)*-1 - sqrt(294))).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(12\/9)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 15, q: 4}. What is prob of picking 2 v?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j - 30. Let t be z(-3). Is 49 a factor of (t + 63\/(-14))*1084\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 19*r**2 - 2*r - 1. Give c(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 125*m**4 + 5*m**2 + 10*m + 58. Let f(v) = -124*v**4 - 4*v**2 - 8*v - 57. Let s(k) = -5*f(k) - 4*j(k). Differentiate s(a) wrt a.\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*r + 585 = 53 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*r - 53626 + 209140 = -4259*r - 28376 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 8*i + 4. Let c be q(8). Suppose 0 = -5*w + r + 35, c*w + 3*r + 2*r = 57. Differentiate -9*a**4 - 6*a**4 + 11*a**4 + w wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -2.246.\nAnswer: -1.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3282550806 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6 + 3*v - 32 + 6*v as g*v + f and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*3*sqrt(304) + sqrt(304).\nAnswer: -56*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7\/28)\/((-10)\/8)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 4 = -4*l - 25, 0 = -202*v + 201*v - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1895.443326 to the nearest integer.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/120 - y**4\/8 - 2*y**3\/3 + 5*y. Let m(r) be the second derivative of d(r). Differentiate m(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 2. Let z(r) be the first derivative of -2*r**2 - 217. What is i(z(n))?\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2903.704 weeks to hours.\nAnswer: 487822.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 34175460 = -107*a. Round a to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3078\/56 + 1\/(-4). Let g = -55 + h. What is the second smallest value in -2, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s**3 - 72*s**3 + 159*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 35*a + 19. Let n(l) = -l**2 - 17*l - 9. Let z(f) = -5*n(f) - 3*q(f). Let v be z(-19). Solve -v = -3*t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*t - 211, 2*t = -2*q + 5*q + 625. Let j = 7 - q. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from ssssnnsnssyns.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -1998, -4954, -9104, -14454, -21010?\nAnswer: -28778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m - 10. Let g be v(-2). Suppose -2*h = -2*x - 304, g*h - 2*x + 466 = 21*h. List the prime factors of h.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -3358?\nAnswer: -17\/1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 19, 9, -15, -59, -129, -231?\n\"Answer: -b**3 + 2*b**2 - b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.68, -0.22, 0.2, -10, -1 in decreasing order.\nAnswer: 2.68, 0.2, -0.22, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68, -139, -210, -281, -352, -423?\n\"Answer: -71*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.279594 * -28\nAnswer: -7.828632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 48.0000009. What is w rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47955237, -47955240, -47955243, -47955246, -47955249, -47955252?\nAnswer: -47955255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2006 + -1170. Suppose -z = 2*o - 411, 159 = 5*o - 4*z - h. What is the highest common divisor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854660.135 rounded to the nearest 100?\nAnswer: 3854700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - h**2 + 2*h - 1. Let g(c) = -3*c**3 + c**2 - 3*c + 3. Let x be 10*((-20)\/8 - -2). Let z(w) = x*v(w) - 2*g(w). Is 9 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65759 + 57668. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9861096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-564)\/8)\/((-57)\/46474) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*y - 4*l + 12, 5*y + 4*l - 16 = 0. Suppose 2*d - 10 = -z, d = y*z + 11 + 3. Solve -2 = x, -22 = 4*m + d*x - x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 22, 3, 6 in decreasing order.\nAnswer: 22, 6, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 15 = -4*g + 3*o, 0 = -4*g - o + 18. Let t be ((-16)\/1102)\/((-2)\/14). Let r = t + -6\/29. Sort g, r, -0.4 in descending order.\nAnswer: g, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - j + 1. Let p(y) = 3*y**2 + 5*y - 4. Let i be 5\/(-4) - (-150)\/(-72)*-3. Give i*q(c) + p(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2236\/(-129) + 4 + ((-11)\/(-51) - 64\/(-544)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 6. Let f be u(2). What is the second derivative of -11*n**f - 13 - 3*n + 13 wrt n?\nAnswer: -132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 552\/(-15)*-1*(-15)\/(-12)*-2. Is u greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 + -14)\/(1\/3). Sort -5, -1, l in descending order.\nAnswer: -1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*s = -69*s - 77. What is the remainder when s is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-10) + (-1 - -2))*(-22550)\/(-9020)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 865*w - 8812. Is s(63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65144399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -10. Let i(h) = 3*h**2 + 3*h - 4. What is the tens digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 3*n + n + (-2*n + 4*n + n)*(-3 + 4 + 0) to the form k + j*n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2524, -5038, -7544, -10042, -12532, -15014, -17488?\n\"Answer: 4*x**2 - 2526*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 9) in base 3?\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = 7*t. Suppose 6 = -m + 4*l, 2*m - l - 2 = 7. Solve -t*h = -m + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/17, 5\/6, 6, -27?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -0.08 (c) -3\/46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2170 - -147531\/68. Let n be 22\/1 - 3 - 1. What is the common denominator of w and (n\/4)\/(-9)*50?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 8:49 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y - s - 10 = 0, -s = 3*y + 6. What is the least common multiple of ((-3)\/y)\/(18\/252) and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9*n - 8. Let p be o(6). Let x(k) = 6*k - 15. Let r be x(p). Is (4\/6)\/(6\/r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.69 + 16.6. Let x = 0.49 + a. Let l = 10 + -6. What is the second smallest value in l, 1\/8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7449 + 13222. What are the prime factors of b?\nAnswer: 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111100101101011 - 0?\nAnswer: -11110111100101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 30\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + m + 21 = 0, f - 90 = -4*f + 2*m. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*n - 6216 = -409*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*j - 24, -4*v - j + 0*j = -13. Suppose 2*a - 16 = -v*h, a + 40 = 6*a - 5*h. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -2*q, i - q = -3*i + 7. Suppose -i*r = 2*n - 8, -n + 5*r - 7 - 13 = 0. Let a(y) = 1 - 8 + 10*y + y**3 - y**2 - 32*y + 21*y. Give a(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 799 or -2611?\nAnswer: -2611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from xneexxxxxnebxnbnxexx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4)\/108*8\/2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 14) to base 12\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71306.\nAnswer: 2, 101, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-1092)\/16)*9*(-3)\/(-9)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/3)\/(2\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 26*a**2 + 4*a + 110. Let g(x) = -23*x**2 - 3*x - 110. Suppose -h + 0 - 3 = 0. Let f(k) = h*l(k) - 4*g(k). What is the first derivative of f(z) wrt z?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12427769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f**3 + 5*f**2. Let v be b(3). What is the highest common factor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 + -141. Let x be 48\/(-18) + v\/((-2)\/(-6)). Let n be (-4)\/(-12) - (-8)\/3. Which is the nearest to x? (a) n (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2731.9 and -0.04.\nAnswer: -2731.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 3*t**3 + 2*t**3)*(-1 + 13 + 14)*(2*t - 2*t - t + (-2*t + 5*t - 4*t)*(-2 + 4 + 0) + t + 3*t - 6*t).\nAnswer: -260*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 15*g**2 - 3*g + 4. What are the prime factors of l(10)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -10. Let x = 26 + -38. Let u be (x\/35)\/((-8)\/(-20)). Put h, -5, u in descending order.\nAnswer: u, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/430500 and 37\/13776.\nAnswer: 1722000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -105. Solve -2*d = -5*v + 3, -m*v - 1 = -5*d + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*v**3 + 54*v**3 + 83*v**3 + 97*v**3.\nAnswer: 47*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u + 2305. Let j be q(94). Solve j*y = 65*y - 112 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136845681 divided by -343?\nAnswer: 398967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 - ((-105)\/(-36))\/(-5). Which is the second smallest value? (a) r (b) -2 (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-1116)\/54*(-51)\/(-51)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*k**4 + 6*k**2 + 2*k - 2*k wrt k?\nAnswer: -552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/2 (b) 1\/14 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2844 and -0.055?\nAnswer: 2843.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3141 by -6.\nAnswer: 1047\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*l - 59, -4*l = 5*z - l - 40. Let j = 56 - z. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -p + 4800 + 310, -3*y = p - 3066. What are the prime factors of y?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 4. Let p = 833 + -835. Let b be (-128)\/(-22) + 10\/55. Let r(n) = -n - 1. What is b*r(y) + p*w(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -26*v**3 + 5*v**2 - 3*v - 88. Give u(4).\nAnswer: -1684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 62264, 123315, 184366, 245417?\n\"Answer: 61051*c + 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (0 - -11)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - 0 - (0 - 44 - -36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4*f + 66 = 3*h, -2*h + 2*f = 42. Let u = 22 - h. Let o = 65 - u. What is the highest common factor of 225 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 13) + -3 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - d + 51. Let y(r) = -3*r**2 + 1. Determine q(l) + y(l).\nAnswer: l**2 - l + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120788304 by 624.\nAnswer: -193571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:30 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80225 and 207650.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 11*x**2 + 2*x + 24. Let l be s(-11). Suppose -f - l*f + 24 = 0. Suppose 0*o + 58 = 2*o. Calculate the remainder when o is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcavcvm. Give prob of sequence xa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(2448) + -1 + (1*sqrt(102)*1 + sqrt(102) - sqrt(102))\/(sqrt(12)\/(sqrt(4)\/sqrt(2))).\nAnswer: -2 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186679141.\nAnswer: 173, 6859417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 5 - 2*m - 3 + 4*m. Calculate the remainder when 24 is divided by v(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.58 + -58. Let d = -4.52 - n. Which is smaller: d or -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*d - 17. Suppose -2*n = -2*c - 4, d*c - 17 = -5*n - 0. List the prime factors of -2 + 1442\/21 - (-1)\/n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (5 - (12 + -15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Suppose 5*k + 4*m - 15 = v, 2*k = 3*k + m - 3. Solve g - 5*z + 29 = 0, -2 = k*g - 0*g + 2*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/7)\/(15*(-14)\/(-735))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Suppose 454 = p - a*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754.9622us in days?\nAnswer: 0.0000000203120625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15486 - 9413. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002239 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 - 2*k**3 + 58*k + 2?\nAnswer: -12*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/1)\/(-27 + (35 - 7)). Let b(h) be the first derivative of 2\/15*h**5 + 0*h - 1\/18*h**6 - 15 + 0*h**3 + 0*h**4 + p*h**2. Factor b(q).\nAnswer: -q**4*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8905714 nanometers to centimeters.\nAnswer: 0.00000008905714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69304 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-36)*3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4326*v**3 - 2*v**2 + 28*v - 25?\nAnswer: 25956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z\/(z\/(z*z\/(z\/((z*z\/z**12)\/z)))))*z**(1\/26)*((z\/z**(2\/79))\/z)**49 assuming z is positive.\nAnswer: z**(18071\/2054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-45)*6\/(-4) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/55701253 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 701582364 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 5)*(-4)\/1188*9?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 86380 = 5*t, 4*l + 0*t + 172816 = 4*t. What is l rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187343235 minus -0.3?\nAnswer: -187343234.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 963060 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 - 189. Let q = -4.49 - 0.31. Let l = q + a. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/((t*t**(-10\/9)\/t)\/t))))**(-1\/18) assuming t is positive.\nAnswer: t**(-37\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272 - 273. Let r = 0 - -4. Let t be 10\/(-6) - 1\/3. Which is the second biggest value? (a) r (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 5*c - 7. Let f be q(7). Solve 4*y + f = -13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 8. Let t(b) = 20*b**2. Let x(o) be the second derivative of -7*o**4\/12 - 27*o. Give a*t(i) + 17*x(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8125 (base 11) to base 6.\nAnswer: -121552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 2*i**2 + 4979*i**3 - 2493*i**3 - 2489*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 8\/11*o + 94\/11*o**3 - 24\/11*o**5 + 14\/11*o**4 - 56\/11*o**2 + 0 = 0.\nAnswer: -2, 0, 1\/4, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 493808.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 36, -3\/5, -2\/21, -3, -4, -2, -0.01?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5980 and 1207247.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 965866*z**4 + 10*z**2 + 118033*z - 38?\nAnswer: 11590392*z**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:42 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose -b*p - 94 = 18. Let v = 31 + p. Solve v*m - 8*m = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -78*j**3 - 27*j**2 + 60*j - 46. Let b(q) = -67*q**3 - 26*q**2 + 61*q - 46. Let x(h) = 7*b(h) - 6*l(h). Let x(t) = 0. What is t?\nAnswer: -23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25417?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y - 87. Let s = -24 - y. Solve s*t = 7*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -457.129 - -457. What is t rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1040 - -1523. Let g(a) = -29884*a - 209165. Let i be g(-7). What is the highest common factor of s and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.59 - 283.55. Let b = s + 224. Let l = b + -0.04. What is the second smallest value in -3, l, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698, -3082, -7056, -12620, -19774?\nAnswer: -28518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*q + 4929 = 0, -3*c - q + 7391 = 3*q. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026721 to 7 dps.\nAnswer: -0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*-1 - sqrt(114))*1 + sqrt(114))\/(-1*sqrt(600) - sqrt(600)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s*s**(-21)*s*(s*s*s\/((s\/s**(-2\/13))\/s))\/s*(((s*s**7*s)\/s)\/s)**(-3\/4) assuming s is positive.\nAnswer: s**(-1009\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758 divided by 758.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201908, 807625, 1817172, 3230567, 5047828, 7268973, 9894020, 12922987?\nAnswer: 16355892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 11 = d + 2, -3*d = -2*b + 11. What is the smallest common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 5*o**2 - 2*o + 2. Let g be j(-4). Let l be (g + 2)*(-1)\/2. Suppose l*v - p + 2 = p, -25 = -5*v - 5*p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*x = 461, 4*x + 12 = -0. Let i = b + 104. Suppose a = -0*a. Is i greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1566 divided by -6\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067743104 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(931) + (sqrt(931) - (sqrt(931) + -1))**2 - (sqrt(931) + -4*sqrt(931) + 3)**2.\nAnswer: -8392 + 133*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 + (-113 - -137) + 24.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25261335 by 33.\nAnswer: 765495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -36198.\nAnswer: 1\/36198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-6)*-3*36. Factor -s*r**2 - 4*r**3 - 25*r**2 + 0*r**3 + 7*r**2.\nAnswer: -4*r**2*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*r = -x - 22, -4*x - 5*r + 33 = 0. What is the third derivative of -5*q**4 + 6*q**4 - 5*q**2 + q**2 + 2*q**x wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*p - 4, -3*p = v - 0*p + 7. What is the units digit of v\/4*(-33 - -1779)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*m - 22*t + 27*t, -5*m = 5*t - 10. Let i(a) = a**2 + 1. Let l be i(3). Calculate the highest common divisor of m and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzni when four letters picked without replacement from {r: 1, v: 2, l: 1, i: 1, n: 1, z: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 0.1837?\nAnswer: -0.053273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 292.\nAnswer: -116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:33 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -654 - -79664?\nAnswer: 79010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:20 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.94989 - -0.4.\nAnswer: -0.54989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*l + 37 = 0, -5*l - 8 = 2*c + 3. Let n(u) = -31*u - 11. Let k be n(c). Suppose -7*i + k = -4*i. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i - 13*i + i - 2*i to the form z + a*i and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-30)*-5 - -95 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 4*k - 16*k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -586 - 190\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, g: 1, o: 3}. Give prob of sequence odd.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*r - 729 = 360 + 531 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + y = 15, -3*k + y = -9 - 4. Suppose r + 9 = k*r. Suppose -4*l + 26 = -2*v, r*v + v + 36 = 4*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -13, 521, -0.5, -140, -5?\nAnswer: 521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 7*m**2 - 9*m - 10. Suppose 0 = -0*w + 5*w - 140. Let h = 20 - w. Let v be f(h). Is -1\/5 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 142*a - 711. Let x be l(6). Let o(h) = -25*h - 39. Calculate o(x).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -565.1 - -565. Let v = -37\/78 - 1\/39. Let g = 23\/4 + -5. What is the closest to v in g, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 9*m**2 + 11*m + 11. Let p be x(-8). Does 2 divide (-63)\/p + (-30)\/(-195)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.879881 minutes to milliseconds.\nAnswer: 52792.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*t - 3227, 11*b = 6*b + 4*t + 8117. List the prime factors of b.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -21. Let a be -1*(0\/(-1))\/(-2). Suppose 0 = 2*m + 3*l - 0*l - 23, a = 5*m + c*l - 41. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 7*v + 0*v**3 - 2*v**2 + 2*v - 2 - 4*v**3 = 0 for v.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) -3 (c) -2\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-147 - 531 + 17)*(m + 2 - 2) to the form s*m + o and give s.\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + -5 + 4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 0*p + 1 - 2*p - 109*p**3 + 4*p**2 + 60*p**3 + 51*p**3 to the form s*p + a*p**3 + u*p**2 + n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 8*o + 2. Let x be c(-7). Let h = -1660 - -1662. Sort h, -2, -7, x in descending order.\nAnswer: h, -2, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388241a (base 11) in base 3?\nAnswer: 110122120202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386870?\nAnswer: 2, 5, 11, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 13, 28, 51, 82?\n\"Answer: 4*r**2 - 5*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -463*h**2 + 16*h - 7. Let x(m) = 461*m**2 - 18*m + 8. What is -9*x(d) - 10*y(d)?\nAnswer: 481*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + -3151?\nAnswer: -3116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**2 + 27*v**2 - 15108*v**3 + 15101*v**3.\nAnswer: -7*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 33.2. Let y be -9 - ((-252)\/(-15))\/(-2). What is the nearest to y in 2\/9, -2\/5, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77.0648 + -0.0352. Let z = b + 75. Let i = z - 0.5. Are -1\/3 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/8 (b) 0 (c) -4 (d) -363\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 721310 and 4243?\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (-1643 - -1666)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*a - 10*a - 15 = -11*a, -4*a - 688 + 679 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271.68 + 2.68. Let p = -276 - j. What is the nearest to -0.5 in -1\/2, 0.1, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:48 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73594 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(324)\/sqrt(6))\/((sqrt(98) - sqrt(2))*-2).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 436514 (base 11) to base 16\nAnswer: aa19d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7401*q + 273858. Calculate o(37).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000321 rounded to 5 decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.81 times -43\nAnswer: -34.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 196*(3\/(-2) + 0)*(-163 + (-117480)\/(-720))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 1. Let b be m(-1). Solve k + 10 = -b*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3899 = -105*h + 959 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1412532*f**5 + f**4 + 73*f**2 + 100296427*f?\nAnswer: 28250640*f**3 + 12*f**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkym when four letters picked without replacement from {d: 5, k: 3, y: 1, o: 3, m: 3}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11553401 (base 6) in base 8?\nAnswer: 1330011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*a - 2. Let p(s) = -s + s**2 + 4*s + s - 1 - a*s. Calculate p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4022?\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m + 57 + 1520 = -159 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*q**3*t**2*u**2 + 4*q**3*t*u**3*y - 6*q**2*u + 3*q*t**2*u**2 - q*t**2*u - 2*q*u**3 - 2*t*y wrt q?\nAnswer: -588*t**2*u**2 + 24*t*u**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 22*g - 108\/5.\nAnswer: -2*(g + 1)*(g + 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -240, -241, -242?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 56639.\nAnswer: 566390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 2697920*c + 2697915.\nAnswer: 5*(c - 539583)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2. Let h = -34 - -37. Let r(i) = h*i - 13 - 11 + 24. Give r(k(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -43, 5119, 4 in descending order.\nAnswer: 5119, 10, 4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/120 + g**4\/24 - 5*g**3\/3 + 9*g. Let r(o) be the second derivative of n(o). Let b(y) = 1. Calculate -5*b(a) + 2*r(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52828 is divided by 927?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/13)*k)\/k**(-2)*(k**(-1\/4)\/k)\/k*k*k*k*k*k\/k**0*k*k assuming k is positive.\nAnswer: k**(419\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190*b**2 - 115*b**2 - 99*b**2)*(-33*b**2 + 4*b**3 + 36*b**2 - 13*b**3).\nAnswer: 216*b**5 - 72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -66*d**2 + d - 1. Let g be n(5). Let q be g\/22 + 4\/(-22). Let l = -36 - q. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02201014 rounded to four decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-961182 - 1755*b + 961182)*(b**2 + 0*b**2 - 3 - 2*b**2) to the form z*b**3 + t + p*b + g*b**2 and give p.\nAnswer: 5265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47917625515275 - -0.3?\nAnswer: 47917625515275.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 21.8. Let j = -15.2 + y. Which is the third biggest value? (a) 0.1 (b) -3\/5 (c) j (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -0.068?\nAnswer: 0.00884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 571179571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2233101 + -2102002?\nAnswer: 131033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(sqrt(56) + sqrt(14))*-1)\/(-3*sqrt(1008)*-2).\nAnswer: -sqrt(2)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189141689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1902 + 5729 - 1895 - 425*m - 1915 to the form t*m + p and give t.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 164\/5985 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 1.1. Let d = -20 + 20.3. What is the closest to -1 in t, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9441, -9444, -9447, -9450?\nAnswer: -9453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.127 and -0.26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/9 + 116*h**3\/9 - 494*h**2\/9 + 136*h\/9 + 248\/3 = 0.\nAnswer: -62, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z)**(-23) assuming z is positive.\nAnswer: z**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 - -6 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 1416 - 1394 = 3*a, 4*a - 20 = 3*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027306 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18391843.079 less than -0.271?\nAnswer: 18391842.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016786647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 20 + (-4521)\/297)*6\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31221577469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3951459\/35 or 112899?\nAnswer: 3951459\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 8362 = 49638. Does 29 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 1299 = 3*v - 1317, -30 = -3*c - 5*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l**3 + l**2 - 11*l - 5. Let j(o) = -5*o**3 - o**2 + 5*o + 3. Let v(p) = 5*j(p) + 2*x(p). Let i(k) = k**2 - k - 1. What is -3*i(q) - v(q)?\nAnswer: 3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4119 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -25*j**3 + 12*j**2 + 20*j + 7. Let z be f(-1). Let m(t) be the second derivative of 3*t**2 + 1\/6*t**3 + z*t + 0. What is m(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*96\/2*(-45)\/(-6) is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-1)\/(-84)*-26*-2\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66) + -3*(sqrt(66) - sqrt(66)*-1) - sqrt(66) - sqrt(66)) + sqrt(66) + 2*-2*sqrt(66))\/(3*(sqrt(24)\/sqrt(4) + sqrt(6))*-1).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197460359.\nAnswer: 23, 31, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 18 = 4*n, 4*d + d + n = 12. Suppose d*b + 2*b - 60 = 0. Let l = b + 23. Calculate the remainder when l is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.58 + 0.12. Let x = o + -1.7. Which is the closest to -1\/6? (a) -1 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5697683 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**3 - 2 + 2 + (-2*b + b + 0*b)*(-5*b**2 - 11*b**2 - 20*b**2) in the form o*b**3 + f*b**2 + g + p*b and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 9:18 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/20 + 13*s**4\/12 + s**3\/2 + 23*s**2. Let x(u) be the first derivative of j(u). Find the first derivative of x(b) wrt b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751982 is divided by 375989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 2\/67, 0.4, 9\/11?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-47)\/(-846)*(-21)\/(-1). Let v(b) be the second derivative of 13*b + 0 + 1\/12*b**4 - c*b**3 + 7\/2*b**2. What is v(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005808 rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -21*(4\/10 + (-626)\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298027243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 701812511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195854*d**4 + d**3*v**2 - d**2*v**2 - 13629*d**2 - 10*v wrt d?\nAnswer: -4700496*d + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwioqio. Give prob of picking 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1642 - 1638. Is -1\/98 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34480 - -898. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*o + 868*a**2*h*o**2 + 11*a**2*o**3 + 15*a*h + h*o + 12*o**3 wrt a?\nAnswer: -6*a*o + 1736*h*o**2 + 22*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - (6 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37205 - -38082.49. Let m = n - 927. What is m rounded to zero decimal places?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16191 divided by 33015?\nAnswer: -5397\/11005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 13*d**5\/40 - 33*d**3 + 96*d. Let u(i) be the second derivative of h(i). Let s(q) = 2*q - 5*q + 5*q. What is s(u(v))?\nAnswer: 78*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16360 or 278110\/17?\nAnswer: 278110\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*j - 1)*(5 - 4 - 2) - j - 3*j + 3*j - 72 + 72 + 5*j as l*j + n and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h, -3*c - 4*h = -4981 + 248. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) 7.14 (c) -1\/5 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/12222 and 23\/3492.\nAnswer: 24444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q - 96 = -41*q. Suppose 0 = 5*n + 4*r - q, -3*r + 4 + 17 = 3*n. Suppose 4*s + f = 486, n*f = -0*s + s - 130. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 + 108 = 0. Let n = -95 - -97. Solve -19*a - 8*a**2 - s*a + 19 - 4*a**n - 3 = 0 for a.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1488 and 20216.\nAnswer: 3760176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:58 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 619516 to the power of 1\/2, to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-585)\/18*96\/(-208)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2.3, 1\/4, -0.14, 1\/3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-3))\/(15\/54). Let s = j + 7. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a6 (base 11) in base 16?\nAnswer: -f1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/2392 - 61313\/236808. Let q = v + 2\/99. What is the nearest to q in 1, 2\/19, -3\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 14*w + 108. Let g(t) = -t**2 + 13*t - 31. Let a be g(w). Which is smaller: -18 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-434)\/(-12))\/31*(-36)\/(-112).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -8. Let u be (-36)\/w*2\/6. Find the second derivative of s**4 + s**4 - 4*s - 3*s**4 - 4*s**u wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/40 and -33\/539200.\nAnswer: 539200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100011101010000 - -10100?\nAnswer: -1000100011100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 235088 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -3.2. Let o = m + -4. Let z = 3 + o. Sort -5, 0.1, z.\nAnswer: -5, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23546823 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a day in minutes?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376539, 376381, 376223, 376065, 375907, 375749?\nAnswer: 375591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by -2171370.\nAnswer: -7\/217137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74201*d + 74161*d + 1160 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 28 = -5*y, 5*b - 10 = -3*y + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29179955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -19. Let k be (2\/(-2 + -38))\/(-4 + (-248)\/(-60)). Sort 2\/7, k, s in descending order.\nAnswer: s, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.2. Let p = -204 - -203.95. Which is the closest to p? (a) 3 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + m = 2*r + 80, 5*r - 3*m - 211 = 0. Suppose -46*n + 230 = -r*n. Let p = n - -399. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-12)*-1*840\/3465\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 11)*24\/60. Suppose 3*c = 5*f - a*f + 349, 0 = -3*c + 4*f + 352. What is the highest common factor of 29 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 70 = -4*x. Let c be (-1)\/(-2 + 29\/x). Let l be (-4)\/14 + (-74)\/c. Solve 2*n - 5 - l = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from wvwowaavw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -209, -471, -853, -1361, -2001, -2779?\nAnswer: -3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140\/741 - -2\/57. Let d = 2.7 - -0.3. Let r be 2\/6 + (-6)\/(-9). What is the smallest value in r, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2884180.\nAnswer: 2, 5, 13, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/65)\/((-35)\/25935)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2530*r - 2550*r = 380 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*x**3*z**2 - 2*x**3*z + 4*x**2*z**5 - 16*x*z wrt z.\nAnswer: 26*x**3 + 80*x**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v + 0*v**6 + 0 - 9\/2*v**3 - 1\/24*v**4 + 12*v**2 + 0*v**5 - 29\/70*v**7. What is the second derivative of x(j) wrt j?\nAnswer: -1044*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 11 = -7. Let j(f) = 2*f + 1. Let q be j(2). Let b be (q\/((-5)\/2))\/n. Sort -0.3, 4, b in increasing order.\nAnswer: b, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o**2 + 1 - 4 - 78*o - o**2 + 5. Let m(g) = -43*g**2 + 156*g - 5. Let t(z) = 7*f(z) + 3*m(z). What is the second derivative of t(v) wrt v?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387557136 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20777 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 253 + 749 = 0. Suppose 4*i = 138 + l. Suppose -43 = -2*p - 3. Calculate the greatest common factor of p and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111121111000 (base 3) in base 5?\nAnswer: -1222100344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 0*p + 4*p - 4*p. Let n(d) = -5*d. Let s(v) = -4*m(v) + 5*n(v). Let q be s(-1). Is q <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188307 divided by 21.\nAnswer: 8967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Let k = y + -1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27a + 3?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170722, -170724, -170726, -170728?\nAnswer: -170730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11151 divided by 9\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let o(l) be the first derivative of -2 + 1\/2*l**2 + 0*l. Give r(o(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10434*z**2 - 20863*z**2 - 33*z - 11 + 10434*z**2.\nAnswer: 5*z**2 - 33*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -5 + 11 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1523610 divided by -11286?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(-1 + 5 - 3)*(-3 - 3 + 5)*(4 - 1 - 5)*(y**4 - 5*y**4 + 2*y**4 - y + y + 2*y**4 + (-y + 0*y - y)*(37*y**3 - 38*y + 38*y)).\nAnswer: 296*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16935 (base 16) to base 5.\nAnswer: 10424334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*-94\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**7\/105 - g**6\/15 - g**5\/5 - g**4\/3 - g**3\/3 - g**2\/5 - 14*g. Determine b, given that r(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - 110\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0*l**2 + 0 + 0*l**3 - 1\/12*l**4 + 6*l - 1\/60*l**6 + 3\/40*l**5. Factor g(n).\nAnswer: -n**2*(n - 2)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 0*c)*(0 + 3 - 2) + 4*c - 13*c - 23*c + (-2 + 3 + 1)*(24*c + 76*c + 11*c).\nAnswer: 189*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/(-10))\/((-6)\/(-40)). Let u = 46 - k. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/8 + (-33)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -90, -115, -156, -213, -286, -375, -480?\n\"Answer: -8*x**2 - x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 7 + (-2 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*n = -354*n + 3*z - 47, 2*z - 27 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 0.04\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1599, -1429, -1149, -759, -259, 351, 1071?\n\"Answer: 55*c**2 + 5*c - 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12720 and -47\/173872.\nAnswer: 138228240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 8*p - 140, 36*y + 3*p + 58 = 31*y + 7*p - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - -0.53. Let l = -1.8 + n. Let x = 0.9 + l. Which is the biggest value? (a) 0.1 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlpxltlpgtp. What is prob of sequence glx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-360)*16*5\/6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 31*v**2 + 193*v + 15. Let u be k(-6). Put 4, 1, u in increasing order.\nAnswer: u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-555)\/259*(-63)\/18)\/((-5)\/((-15)\/(-18)))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 94 = 5*v, 0 = 3*v - 5*x - 46 - 20. Suppose -v = -5*u - 12. Let h be (u + -1)\/(9 - 7). Put 1, 3, h in ascending order.\nAnswer: h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + r)*(0*r - r + 0*r)*(2*r**3 + 2*r**3 + 3*r**3) + r**5 + 2*r**2 - 2*r**2.\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 8) to base 5\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245 by 33971.\nAnswer: 35\/4853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -3 - (-105 + 24 + 36)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (780\/6006)\/((-20)\/70)*-1.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 13 = 4*z, 54*z - 53*z + 6 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61120 and 221120?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24505504 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 d(m) = -m**2 + 3. Let p be d(0). Solve -2*q + 15 = p*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -17. Suppose -w = -3, -i*d + 5*d + 5*w - 22 = 0. Suppose d*r + 10200000 = r. What is r rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 - 47\/(2632\/(-2592))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204481861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6539 - 5284\nAnswer: -11823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + 6*b**2 - 12*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3244*l + 1434*l = -299392 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9425*h - 94. Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111 in -1, 2\/3, -1\/15028?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(343)*-1) + ((sqrt(42)\/sqrt(6) + sqrt(7))*-5)**2.\nAnswer: 8*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1243971997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2099.2334 rounded to the nearest 10?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0 + 0)*(4*a**2 - 50*a - 1 + 50*a).\nAnswer: -4*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 2*c**2 - 2*c - 1. Let y be z(2). Let g = -0.6571 - -0.8571. Sort 11\/7, g, y in descending order.\nAnswer: 11\/7, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 3. Suppose -5*s = -16 + 6. Let c be g(s). Differentiate -m**c + 3 + 7*m**3 - 4*m**3 wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299 + 319. What is the smallest common multiple of 78 and n?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -6*(-333)\/(-378).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -786*x + 791*x = 20, 0 = -3*g + 5*x - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-227)\/2 - (-1)\/(-2). Let i = 23 - 38. What is the remainder when 15 is divided by k\/i + 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -962*f + 6. Let t(j) = 969*j - 4. Calculate 2*p(z) + 3*t(z).\nAnswer: 983*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4 = 0, -n + 4*m + 3 = -18 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 36*b**2 - 92*b - 60.\nAnswer: -4*(b + 1)*(b + 3)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76352, -82044, -91530, -104810?\nAnswer: -121884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1062, -1, -2, 1, 502.\nAnswer: -2, -1, 1, 502, 1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s + 1229 = 53. What is the smallest common multiple of s and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 3. Let p be g(-7). Suppose 0 = -p*q + 3*q + 4. Suppose -q*h + 7*x + 52 = 3*x, -3*h = -2*x - 37. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 + 2*s + 10. Let p be c(7). Let m = p - 3. Suppose -i + m = 2*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1031617 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 9*s = -11*s - 360, 2*s = -4*q + 714. What is the remainder when q is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - ((6 - 8) + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - z)*(0*z + 2*z + 0*z)*(-1 + 4 - 1).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1069*t**2 + 21*t - 49. What is the tens digit of f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2303 + 2486. What is p rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7599979*m**3 - 1 - 7600056*m**3 + 15200029*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l + 9. Let v be ((-2)\/4)\/(5\/(-20)). Let b(z) = -781*z + 539. Let r(s) = v*b(s) - 121*x(s). What is the units digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900100611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.9 + -17.9. Let j = -0.14 - -0.14. Put j, c, 1, 2 in decreasing order.\nAnswer: c, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from zpbltbbbpbpppblpbb.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(0 + 1*-1). Suppose -u - 6 = -3*m, 2*m + 2*u - 5 = 7. Suppose -m*t - 2 = 1. Put g, t, 4 in descending order.\nAnswer: 4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + 7389\/18)*2. Factor -19 - 40*x - 1 - m*x**2 + 816*x**2 + 10*x**3 + 5*x**4.\nAnswer: 5*(x - 2)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 125. What is m(-58)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5\/7 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.7 - 105.7. Let h = 88.12 + q. Let d = 0.8 - -0.2. Is h bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 - (-33 + 129) - (15 + 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:47 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1024401243 + 222?\nAnswer: 1024402020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1876.5987 - 0.4013. Let g = z + 1876.998853. Round g to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3 - 3)*(-w + 2*w**2 + w) + 3*w**3 - 5*w**3 + w**3 + (-3*w + 2*w + 2*w)*(-9*w**2 - w**2 + w**2).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-6)*-1)\/((-6)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*o - 6*o = -84, 0 = 2*j - 2*o - 40. Suppose -u + 18 = y, 0 = -2*y + 4*y + u - 31. Let h = j - y. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2 - 9 - 6701*h + 1553*h as j*h + n and give j.\nAnswer: -5148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 k when four letters picked without replacement from hhhkkhhhhhh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/12 and ((-129)\/(-80))\/(-4 - (-104)\/20)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 356*g**4 + 2034 wrt g?\nAnswer: 1424*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-10) - (-20)\/50. Let p = -635 - -630. Let r = 8\/23 - -53\/46. Which is the closest to 0.1? (a) f (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-7))\/((-2)\/7). Solve 0 = -v - b, 2*c - 4*v - 24 + 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5 + 37 = -a, -5*m + 59 = 4*a. Find the second derivative of d**5 + m*d**3 - 5*d - 11*d**3 wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u**4 - 1\/10*u**5 + 0*u**6 + 0 + 0*u - 10*u**2 + 1\/70*u**7 + 1\/2*u**3. Determine m, given that v(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:31 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*f**6 + 48793*f**3 - 1375454*f**2 wrt f?\nAnswer: -13080*f**3 + 292758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 - 3*w + 8. Let n be 3\/((25\/5)\/5). Suppose 5*p - 5*c = -10, -3*p + n*c - 27 = -7*p. List the prime factors of o(p).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266519\/9 - 29467. Which is greater: 146 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6037 greater than -6034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -973015.0111 - -972835. Let h = f + 180. Round h to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 2\/17 (c) -0.1 (d) -3 (e) 2 (f) -3\/38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/15 (b) 1 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*r**2 - 735*r - 1 + 1 - 114*r**2.\nAnswer: 7*r**2 - 735*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 45055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-6)*1)\/(4\/(-392)). Is 36 a factor of g - (1 - 3 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 less than -6?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 - -126. Let j be (-14)\/(-35) - (-23)\/5. Let f = j + -3. Calculate the lowest common multiple of f and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/6 - 9*j**4\/2 - 47*j**3\/3 - 7*j**2 + 95*j\/6 + 23\/2 = 0.\nAnswer: -23, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 0. Let s be 2 + (-5)\/(t\/6). Solve j + s*j + 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 9*v - 24 = 6*l, 12*l = 14*l - 3*v + 21 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 4*g + 48\/5.\nAnswer: -2*(g - 12)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlrr when four letters picked without replacement from {r: 3, l: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061703 rounded to three decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43315*g - 33*g**2 + 4 + 86623*g - 43311*g to n*g**2 + i + b*g and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + r**2 + (-3*r**2 - r**2 + 6*r**2)*(-1 + 0 - 1) - r**2 + 2 - 2)*(-3*r + 3 - 3) + (3*r**2 + 5*r - 5*r)*(r - 3*r + 3*r).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.150457 + 0.051157. Let h = 0.0993 + s. Let v = 3 - 1.6. Is h less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 196, 2, -4 in decreasing order.\nAnswer: 196, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 43*j**3 - 5*j**2 - 5*j - 23. Let x(u) = -22*u**3 + 3*u**2 + 3*u + 12. Calculate -3*g(c) - 5*x(c).\nAnswer: -19*c**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 28*s - 92. Let z be f(-31). Let m(w) = -2*w + 2. Let y be m(z). Let b be 6\/27*3 - 1. What is the closest to b in y, 9, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6*y**2 - 5*y**2 - 1244*y**4 + 1239*y**4 - 78*y + y**3 in the form r*y**2 + o*y**3 + n + p*y + a*y**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.313*450.8\nAnswer: -141.1004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10100100110110101011000?\nAnswer: -10100100110110101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 62\/11, 1\/20, 2\/11, -2\/3, -2\/5, 3?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/105 + 101*n**5\/10 - 815*n**3\/3 - 6*n**2 + 156. Differentiate k(u) with respect to u.\nAnswer: 8*u**3 + 1212*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0295733181 rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**6\/480 + r**5\/80 - 3*r**4\/32 + 5*r**3\/24 + 2*r**2 - 289*r. Factor i(u).\nAnswer: (u - 1)**2*(u + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7782326 - 9*n - 3891033 - 3891289.\nAnswer: -9*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24742212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 125*y**2 - 151*y + 540. What is h(26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = z - t + 2*t, 3*z - 4*t = -18. Let p = 27 + z. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r**2. Let f(n) = 15*n**2. Determine i(f(x)).\nAnswer: 2925*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**3 - 2*g**3 + 0*g**3)*(1 + 1 + 0) - 362469*g + 333*g**2 + 362469*g + 20*g**3 to o*g + a*g**3 + d + h*g**2 and give h.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:49 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479, 480, 481?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (30 + -41 - -40) + -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/13 and 8\/91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 30. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 94*s + s**3 - 94*s to g*s + k*s**2 + d*s**3 + r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -12 - 5 - (-7 + (2 - 44) + -3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-90)\/(-25) + (-3 - 0). Let j(a) be the first derivative of -3*a**3 + 6*a + 4 - 3\/4*a**4 + 3\/2*a**2 + l*a**5. Factor j(r).\nAnswer: 3*(r - 2)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojoojjjjjj. Give prob of picking 1 o and 2 j.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 3 (c) 5 (d) -0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.124 and 0.028?\nAnswer: -0.003472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) - (-26)\/(-4). Let d(r) be the third derivative of -r**6\/120 - 7*r**5\/60 - r**4\/4 + r**3 - 18*r**2 + 3. What are the prime factors of d(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + 0.32. Let z = a + 0.7. Let o(t) = t + 6. Let g be o(-5). What is the nearest to z in 0.3, g, -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:58 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4109, 4103, 4087, 4055, 4001, 3919, 3803, 3647?\nAnswer: 3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7307*g**2*k**2 - g**2*k - 5*g**2 + 27*g*k - 4*k wrt k?\nAnswer: 14614*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 82 + 161 + 29*z**2 - 79.\nAnswer: 29*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000937229149 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-20)\/(-16))*(-15)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 216\/12 - -723355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3335332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5777*n - 11562*n + 5784*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 55362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*4\/(-20)*1\/(6\/58)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 135 in -23, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**4\/16 - 61*u**3\/24 - 95*u**2\/16 - 4*u - 1411. What is i in c(i) = 0?\nAnswer: -1, -1\/2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**6\/40 - u**4\/6 - u**2\/2 + 5*u. Let f(n) be the first derivative of a(n). Find the second derivative of f(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 2. Let i be w(-3). Suppose -10*m = -11*m + 48. Let a be 0 + m\/2 + (10 - 6). What is the highest common divisor of a and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 56*g**3 - 30*g**3 - 7*g**4 - 26*g**3 + 2*g as j*g**3 + l*g + r + m*g**4 + w*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1653435\/68 - -24314. What is the common denominator of -61\/306 and d?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*s**3 - 131812 + 131812.\nAnswer: 788*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 + -247. Let m = -87 - h. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -32. Let o = 4.88 - -0.12. Let g = 1.01 - 0.91. Which is the third biggest value? (a) z (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -4*g, -965*o + 490*o + 2*g = -474*o + 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3063 - -13?\nAnswer: -3050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 10. Suppose 0*h - k = -4*h. Suppose 33 = 2*u + i - 20, h*u - 99 = 5*i. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, z: 2, n: 1, i: 1, l: 3}. Give prob of sequence zno.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -2*h**3\/3 - 1. Let o(c) = c**3 - c**2 - c. Let n(a) = a**3 - 23*a**2 + 22*a - 1. Let p be n(22). Calculate p*u(j) + o(j).\nAnswer: j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -325, -663, -997, -1327, -1653, -1975, -2293?\n\"Answer: 2*c**2 - 344*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6169*z - 2721*z**2 - 6169*z)*(7 + 5*z**3 - 7).\nAnswer: -13605*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -34, -10, 12, 32, 50?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:16 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*p**2 - 92*p**2 - 123*p**2 - 80*p**2 + 371*p**2.\nAnswer: -61*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 157. Suppose 0 = 2*g + 31*d - 27*d - 4, -4*g - 2*d = -38. What is the greatest common factor of n and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**(4\/25)*(c*c**(1\/4)\/c*c)**(-48) assuming c is positive.\nAnswer: c**(-1488\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 702994, -1, 2 in ascending order.\nAnswer: -7, -1, 2, 702994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -37) + -8 + -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*o**2 - 53515*o + 16050.\nAnswer: 5*(o - 1070)*(10*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(45) + sqrt(45))*2 - sqrt(45)) - 2*sqrt(540)\/(sqrt(12)*1 + sqrt(12)).\nAnswer: -12 + 51*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q**5\/7 - 2792*q**4\/7 + 278694*q**3\/7 + 48348*q**2 = 0.\nAnswer: -357, -6\/5, 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2. Let z(k) = -290 + 290 + 3*k. Determine s(z(a)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d - d + 0*d - 11 + 11 + 5*d + (-d + 1 - 1)*(-2 + 2 + 1) + 2*d + d - d - 1 + 1 + d)*(0*d - 2*d + 3*d) as o*d + n + w*d**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27882 is divided by 1681?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1000 divided by 5\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 207 - -3. Suppose 2*d - o - 263 = z, 0 = -4*o + 4. What are the prime factors of d?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 7333\/40560?\nAnswer: 7333\/40560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22220 (base 3) to base 4.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 - 1469\/9. Suppose 5*w + 18 = 4*c, -6 = -2*c + w + 6. Suppose -3*b + c*b = -16. Sort b, l, 2 in decreasing order.\nAnswer: 2, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -510213011?\nAnswer: 510213011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 13*w. Suppose -3*r + 4*n - 1 + 9 = 0, n = 4*r - 15. Suppose 5*g + q + r*q - 70 = w, g - q - 24 = 0. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - -4) + 0 + -3. Let c = 97 + -101. Suppose 0 = -5*s + q - 7 - 9, 3*s = 4*q - 13. Sort c, o, s.\nAnswer: c, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence via when three letters picked without replacement from {i: 1, s: 1, a: 1, m: 1, t: 1, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 2*j + 23*j = -378 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 19*y**2 - 2*y - 1. Let w(p) = -p**2 + 8*p - 10. Let l be w(6). Suppose i + i + 8 = l*h, -2*i - 5 = -h. Let u be o(i). Solve 3*x - 8*x - u = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 5*c - 3. Let x(y) = 3*y**3 - 15*y - 8. Let q(m) = 8*b(m) - 3*x(m). List the prime factors of q(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (3 - 23) + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*p**2 + 138391 - 138391.\nAnswer: -537*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255226715\/84 - 3038537. Let g = l - -497\/4. Find the common denominator of g and -125\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*f + 10*f**3 - 3 + 28 + 71*f**2 + 91*f**4 - 8*f**2 - 96*f**4 - 3*f**2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(18\/(-16) - -1) + (-1305)\/(-180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16352 - -16356. What is the closest to 1 in -103, -0.02, h?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 1\/2*g**2 - 3\/2*g**4 + 0*g + 0*g**3 + 1. What is the second derivative of l(k) wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6549, -6354, -6149, -5928, -5685, -5414?\nAnswer: -5109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l + l - 2*l. What is the units digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110784463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2320?\nAnswer: 1\/1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.2, 4, 1592\/3?\nAnswer: 1592\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59 and -0.33.\nAnswer: -19.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -24. Suppose r = -3*n + 23. Let d = -8 + 12. Which is the smallest value? (a) 1 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/(-35))\/((-2)\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 609845599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j**3 - 2*j**2 - 3*j - 2. Let t be r(-1). Let w be (324\/378)\/(6\/t). Solve -w*y = -3*n - 3 + 1, 0 = 5*y - 2*n + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -42*o + 20. Let z be v(-14). Let n = z + -363. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 + 2*w**5 - w**5 + (2*w + 3*w - 3*w)*(2*w**4 - 2*w + 2*w) + (3*w - 3*w + w)*(3*w**4 + 3*w**4 - 5*w**4).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 20. Suppose -2*c + 2 = j. Let u(k) = -11*k**2 - k - 1. Give u(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159768*t**3 + 21*t**2 - 6990*t.\nAnswer: -958608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/4 - 52)*-12. Calculate the highest common factor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 6. Let h be c(-6). Solve -k = -h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:55 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3535 rounded to one decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1479000, 2957986, 4436948, 5915874, 7394752, 8873570, 10352316?\nAnswer: 11830978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 222?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + 12. Let d(h) = -8*h**2 - h**3 - 1 + 5*h - 6*h - 8*h + 0*h**y. Let t be d(-7). What is the highest common factor of t and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 14 = 3*x. What is the remainder when (-1000)\/(-45) - 2\/9 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38, -2\/11, -53848?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w. Let h = 1 - -3. Suppose h*l + 0*l = 8. Let s(g) = g**2 + g. Determine l*s(n) - x(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 34. Suppose 4*k - 6 = q. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -7*v**4\/6 + 3*v**3\/2 - 3*v + 17. Let n(y) be the first derivative of g(y). Find the second derivative of n(a) wrt a.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 7 = -2*r + 2, 3 = 5*r - 3*y. Let z = 3\/55 - 189\/440. Are z and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.038 - 16. Let s = 0.03632 - x. What is s rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {q: 1, u: 2, i: 2, t: 6, s: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6552.516 to the nearest 10.\nAnswer: -6550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(180\/8)*(-14400)\/65280?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 6*w - 6*w**3 + 6*w to the form v + x*w + n*w**3 + q*w**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m**2 + m - 48. Let r be w(-9). Is r + -1 - (0 + -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 60378 + 7622. Let v be (-32)\/(2*4\/n). Round v to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 52*x + 8. Let h be q(0). Solve h = w + 3*t, w = -3*w - 4*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, -1\/2, 3\/2, 5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/656517 and 7\/3291?\nAnswer: 720199149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -14*u**4 + u**3 + u - 15. Let o(j) = j**4 + j**3 + j + 1. Let g(w) = -o(w) + q(w). What is the derivative of g(c) wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4\/3, 2\/5, 2, 852, -178, 0 in increasing order.\nAnswer: -178, -4\/3, -1, 0, 2\/5, 2, 852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(228) - 1*sqrt(228)))\/(sqrt(432)*2 + 1*sqrt(192)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -4, 3, -0.3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 (base 4) in base 14?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.1 (b) 2\/3 (c) -2\/17 (d) -4 (e) -6\/47 (f) -0.49 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-4 + 26) - (0 - 62 - 1).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114, -416, -918, -1620, -2522, -3624?\n\"Answer: -100*x**2 - 2*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 17 = 24. Let v = z + -36. Let a(h) = -7*h + 13. Let d(l) = -4*l + 6. Let s(r) = v*d(r) - 3*a(r). Give s(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2\/11, 1\/1716, -1\/28?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 15*i + 9. Give u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -2 - 3\/(-3). Which is greater: t or -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.03 (b) -0.1 (c) -20.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*m**4 + 64*m**2 - 2*m**3 + 198*m**4 + 6*m + m**3 - 71*m**2 in the form h*m**3 + t*m**2 + y*m**4 + s*m + q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**3\/3 - 2*z**2 - 4*z - 2. Let m be 2\/(-8) - (-11)\/(-4). Let q be v(m). Which is bigger: q or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcx when four letters picked without replacement from cjdcjcrjjxjrjrdrdxrr.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*t = 45, -4*r + 5*t + 12 = -65. Suppose 5*m + 2*p + r = -0*p, -5*m - 18 = -3*p. Let z be (-8)\/(-6)*(-1 - 2). Which is bigger: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 2*z - 2. Let f(w) = -w**3 + 15*w**2 - 12*w - 29. Let m be f(14). Let u be k(m). Let y = 2303\/13 + -177. Is u less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6 + 2 - 1 - 11*m. Let u(y) be the second derivative of y**3 + 3*y**2\/2 - 6*y. Give -4*q(v) - 7*u(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8296191 litres?\nAnswer: 829.6191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013799 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 12.50500591.\nAnswer: 9.50500591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 30 = 13*f - h, 37*h = 3*f - 35*h + 70*h - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8829697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 + 3 - -1) - (0 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 7*n + 9. Let x be d(6). Let a(c) = 12*c - x - 6*c - c. Let s = -304 + 308. Let w(f) = 11*f - 7. Give s*w(r) - 9*a(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t - 790 = -5*o, 0 = 5*o + t - 808. Let m = 6961 - o. What is m rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(-38)*(-1)\/(4 - 2). Which is the closest to 0.1? (a) 3\/5 (b) 2\/7 (c) k (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 159, 358, 637, 996?\n\"Answer: 40*f**2 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7374541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - 2*t**4 + t**4)*(-2 + 2 - 1) - 2*t + 2*t**4 + 2*t + 0*t**4 + t**4 + 0*t**4 + (-2*t + 2*t - t**2)*(-3*t**2 - t**2 + 3*t**2).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + (sqrt(13) - 1*sqrt(13)) - (sqrt(13) - (-4*sqrt(208) + sqrt(13) + sqrt(13)))))**2*3.\nAnswer: 8775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523, 1877, 4139, 7309, 11387, 16373?\nAnswer: 22267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52, 224, 522, 952, 1520?\n\"Answer: x**3 + 57*x**2 - 6*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -429156 divided by 3276\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3334 + 0.3331327. What is z rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1620438 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258883 is divided by 93?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -466 + 466 - 21*t to s + d*t and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9992 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2 + 8*k - 4. Let y(o) = o**3 - 9*o**2 - 10*o + 5. Let w be y(10). What is m(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/12 and 25\/12582.\nAnswer: 25164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74848233 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/78 - (1 + (-3834)\/828).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 35.32647 kilometers?\nAnswer: 35326470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*t**4 - 1004 - 12*t**3 - 19*t**3 + 6*t**3 + 27*t**4 + t**3 wrt t.\nAnswer: 4*t**3 - 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*f**2 - 26*f + 14*f + 12*f.\nAnswer: 89*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -328.823886 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 157763544 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88111, -176418, -264923, -353626, -442527, -531626?\n\"Answer: -99*s**2 - 88010*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-17 - (-14 - -11))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r + 26. Let g be u(7). Let o = 81 + g. Suppose 0 = -11*s + o*s. Which is the second smallest value? (a) s (b) -0.4 (c) 0.07 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(4 - (-234)\/(-60)). Let i(j) = -j**3 - 4*j**2 - 5*j - 4. Let r be i(-3). Let 0*d**r + 1\/2*d + 0 - g*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 12. Let x = a - -1. Which is smaller: x or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 16. Let k(a) = a**2 + 12*a - 7. Let l be k(x). Let v = -19 - l. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2 + n**2 + 0 + 1 + 0. What is the remainder when 23 is divided by i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.1, 2\/9, -16, -106?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 96*o - 448.\nAnswer: 4*(o - 28)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7606580 (base 9) to base 13\nAnswer: aca961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5390\/(-147)*132\/110.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2619 - -1?\nAnswer: 261a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 c when three letters picked without replacement from dcddccbd?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 32538649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = o + 3*o, 3*o = -3*r + 24. Let l = 9 - r. Suppose 5*n - 49 = -s, -l*s - n - 3*n + 140 = 0. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 8*x + 2. Suppose -3*b + 5*b - 6 = 2*l, -2*b + 16 = 3*l. Let d be t(b). Suppose 38 = 5*m - d. 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: Let b(z) = 1. Suppose 4*p + 28 = 4*u, -u - 5 + 24 = -3*p. Let k(x) = -x**3 - 2*x + 1. Let d(s) = p*b(s) - k(s). Is d(5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 24*t**2 + 19*t - 8. List the prime factors of z(-8).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385752 is divided by 3297.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 0. Let b = y - -4. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000095 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15f0 (base 16) in base 2?\nAnswer: 1010111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*h + 68 = 0, -2*m = 4*h - 18 - 14. Which is smaller: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.02 (c) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 46 = -5*w, 5*g + 27 - 229 = -3*w. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 52.432. Let h = c - -0.13. Round h to two decimal places.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 9 = a. Suppose -5*m = 5*q + 5, -2*q - 4*m = -4*q + a. Factor -6*z**3 + z + 3 + 3*z**4 + 0*z - 6*z**2 + q*z**5 + 0 + 2*z.\nAnswer: 3*(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 + -165. What is the highest common divisor of q and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {f: 7, z: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71980 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 - (0 + -32 + 31).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26671, 53704, 81095, 108844, 136951?\nAnswer: 165416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2230.7 - -2230.6. Let k = 0.04 - 0.44. What is the closest to o in -6, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211416 (base 7) in base 14?\nAnswer: d47d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-161)\/(-20) - (-66)\/(-264) and 50\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383610 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4 = 3*t - 5*a, -2*a - 25 = -3*t. Suppose 14*c - 126 = t*c. What is the second derivative of 0*h - 2 + 16*h + c*h**3 + 2 wrt h?\nAnswer: 108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 41 = -9*v. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -222, -119, 56, 339, 766?\n\"Answer: 6*c**3 + 61*c - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 14.4. Let m = 11.6 - b. What is the closest to 0.2 in 0.2, m, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2819372 rounded to 3 decimal places?\nAnswer: 0.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174277 or 174228?\nAnswer: 174228","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 34*y - 6*y - 2 - 3*y - 7*y - 8*y. What is o(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237525877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7. Sort -4, -5, -1, h in increasing order.\nAnswer: -5, -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -1\/8*y**3 - 1\/48*y**4 - 5*y**2 + 0 + 0*y + 1\/240*y**5. Solve n(a) = 0 for a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2479*l - 2. Let a be k(1). Suppose -6*v + 2893 = -a. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*h - 25 = -4*h, 5 = 2*v - h. Suppose -v = -5*o + 70. Suppose -2*y - y = o. Sort -3, y, 2 in descending order.\nAnswer: 2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**3 - 5*m**2. Suppose 5*f - 69479 = 62631. Let r(h) = 2*h**2 + f - 26422 + 5*h**3. Calculate 5*r(i) + 2*s(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, t: 4, d: 3}. What is prob of sequence id?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5575130 (base 8) to base 3\nAnswer: 2211111200100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/114 and 2\/57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1000000111101011101000?\nAnswer: -1000000111101011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12680854*r**2 - 14632500*r wrt r.\nAnswer: 25361708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 144 = 29*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r + 67 = -35. Let x be (r - 6)*(-50)\/30. Which is the nearest to -9\/2? (a) -1\/4 (b) 6 (c) x (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c = 3*d - 6, -5*c - 10 = 0. Suppose -2*p + 12 = 2*g, 3*p - 3*g - 20 = -d*g. Let o(t) = -2*t + 7. Determine o(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**3*d + 4*c**2*d - 10*c**2 - c*d - 56*c - 7*d wrt c?\nAnswer: 36*c*d + 8*d - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 859, -1\/4, -904?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 21437*c + 729147\/2.\nAnswer: -(c - 42891)*(c + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.9179057 to 0 decimal places.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7729481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1300, 4, -77 in descending order.\nAnswer: 1300, 4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -676045960 - -675988354.99986. Let k = 57600 + c. Let y = -5 - k. Round y to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26744, -40725, -54706, -68687, -82668, -96649?\nAnswer: -110630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:36 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*v - 177, 2*h = 14*v - 18*v + 110. Suppose h*c - 4271 = 62*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 125, 173, 221, 269, 317?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63546 or -63547?\nAnswer: -63546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (0 - -2) + (-71 - -70).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 2)\/(6\/(-20)*2). Suppose -966 = -4*l + 2*a - n*a, 0 = 5*l - 3*a - 1194. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -6) + 1\/(-1) - -4. Which is the closest to i? (a) -2\/3 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/10 + (-5)\/2. Suppose -z + 212 = -200. Let c = z - 4529\/11. Is d less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-457\nAnswer: -2285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55704 and 1584.\nAnswer: 334224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -61, -86, -115, -154, -209, -286?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 + 7*l - 6. Let n(s) = 2*s**2 - 5*s + 5. Let m(f) = 4*n(f) + 3*v(f). Calculate m(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 0 + 2*a + 4 - 3 + (a**2 + a**2 - a**2)*(4*a**2 + 0*a**2 + 0*a**2).\nAnswer: 3*a**4 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 - 43 = -7*p. Calculate the remainder when 205 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4079885, -8159776, -12239667?\n\"Answer: -4079891*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 - 256 - 17*t**2.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 7}. Give prob of picking 1 v and 2 x.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0204 + -578.0204. Let y = l - -577.9999887. What is y rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 3 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - -8*(-3)\/(-6). Let i(g) = g + 8. Let d be i(-6). Sort d, 5, o in increasing order.\nAnswer: o, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y - 4*y - 11 + 11. Let i(a) = 4*a**2. Calculate m(i(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -248 + 248 + 30*z - z + 0*z + 0*z + (1 + 2 - 1)*(0 + 2*z + 0) + 20*z + 7*z + 38*z as n*z + i and give n.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 9*i - 9. Let h be q(-10). Let n = 990 + -986. Which is the nearest to -0.9? (a) n (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g. Let j(s) be the second derivative of -202*s**3 + s**2 - 6*s + 54. Give c(j(b)).\nAnswer: -2424*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.858 - 4.45. Let o = y - 0.208. Which is the nearest to -2\/7? (a) o (b) 1\/18 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598495 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66 or -3280\/49?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023 = 150*l - 177 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.3. Let k = 0.2 - h. Let m = -1.5 + 1.9. What is the closest to k in m, 1, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 28. Let h = -145 - -213. What is the remainder when h is divided by r(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9140939730737\/10416951401584 - 3318438\/21470813. Let m be ((-1680)\/140)\/(90969\/2). Let t = s - m. What is the common denominator of -85\/4 and t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -15*t**5 - 204*t**4 - 156*t**3 + 1536*t**2 - 576*t = 0.\nAnswer: -12, -4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 23*v**5\/15 + 13*v**3\/6 - 8*v**2 - 3*v. What is the derivative of o(q) wrt q?\nAnswer: 184*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c = -33*c - 11836. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 85. Solve 13 = -2*x + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12329 + -10397. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**7\/7 - 11*i**6\/6 + i**4\/2 - i**3 + 791*i**2 + 5261. What is the third derivative of g(o) wrt o?\nAnswer: -120*o**3 - 660*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 8. Let g be ((-9)\/(-6))\/(n\/14). Solve 0 = g*c - d - 13, 0*c - 4*c - d = -8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1)))\/i)**(2\/55)*(i*i\/(i*i**(-1)))**47 assuming i is positive.\nAnswer: i**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/7 - 3000460*b**3\/7 + 2571819*b**2 - 27004086*b\/7.\nAnswer: b*(b - 3000454)*(b - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 2*h**2 - 16*h - 17. What is z(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 1 + -3 + 1. Suppose -x*k + 1 + 7 = 0. Suppose g + 4*g = -3*c + 122, 3*g - k*c = 77. What is the highest common factor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 + -6 - 7) - (1 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961049 is divided by 320321?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. What is the least common multiple of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83093549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -353\/5 - -71. Factor n*b - 1\/5*b**2 + 0.\nAnswer: -b*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1754286691438 + 0.\nAnswer: 1754286691438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129*h + 10*h**4 + 129*h + (-3*h**3 + 4*h**3 + h**3)*(4*h - 2*h - 4*h) - h + 2*h**4 + h.\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489, -1922, -4355, -7824, -12365, -18014, -24807, -32780?\nAnswer: -41969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - v + 187 = 0, 5*d = 10*d - 2*v - 330. Calculate the smallest common multiple of d and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 - 1) - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4451608 divided by -4\nAnswer: -1112902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 123220 (base 5) to base 10\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 124, 5 in ascending order.\nAnswer: -9, 5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.82998306 to one decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -24*(-9 - (-9)\/3). Let j be u\/15 - 10\/(-25). Let m = 315 - 275. What is the highest common divisor of m and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.0142.\nAnswer: -0.0568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 68*o**2 + 408 - 2*o**4 + 412 + 136*o**2 - 818 to q*o**2 + j*o**4 + d*o + h*o**3 + u and give q.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 17*v**2 - 2*v + 40. Let y be u(17). Let d(a) = -2*a**2 - 6*a + y*a**3 - 7*a**3 - 2*a**2 - 5 + 7*a. What is d(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5377.179 millennia in years?\nAnswer: 5377179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*s - 0. Let u be 12 + -14 - 2*s\/(-2). What is the third derivative of 13*b**u + 78*b**4 + 23*b**5 - 78*b**4 + 4*b**2 wrt b?\nAnswer: 1380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvdvvvvd. Give prob of picking 2 d and 2 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167653900?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2864246 and 87681?\nAnswer: 8592738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5\/2 + 25615*q**4\/2 + 102437*q**3\/2 - 179287*q**2\/2 - 128055*q = 0.\nAnswer: -25611, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3 - 819*l + 2239 wrt l?\nAnswer: -3*l**2 - 819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13212454 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: Let h be (-3)\/(-9)*0 - -9. Suppose h*y - 4*y = a - 230, 0 = -2*y - 2*a - 104. Calculate the common denominator of y\/(-6) + 1 - -2 and -68\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 102, 352, 838, 1638?\n\"Answer: 13*n**3 + n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**2 + j**3 + 0 + 2*j**3 + 0 wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -2332?\nAnswer: -2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 5*a**2 - 3*a + 3. Determine q(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5326 + 7395. List the prime factors of p.\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2456 - -11?\nAnswer: -2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 18 = 9*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266220 by 4437.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5004832 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h + 1313 = 157 - 86 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1 = t, 0 = -59599*t + 59592*t - 9*l - 57 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010477415 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 42*o + 99 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 39\/38, -4, -2\/7, 1\/5, 56 in increasing order.\nAnswer: -4, -4\/3, -2\/7, 1\/5, 39\/38, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.6 + 30. Which is the biggest value? (a) -0.4 (b) l (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4536)*1*-6)\/((3*((sqrt(96) - -1*sqrt(96)) + sqrt(96) + sqrt(96)))\/sqrt(12)))**2 + 4.\nAnswer: 583\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7156 - -7166. Let m(y) = -y**3 + y + 8. Let u be m(0). Let v = 62 + u. Calculate the highest common divisor of v and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 - 0.0736526178344?\nAnswer: -0.1086526178344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -247, -514, -801, -1108, -1435, -1782?\n\"Answer: -10*o**2 - 237*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 19. Let a(t) = 5*t**2 + 2*t + 1. What is the remainder when a(2) is divided by 6 + -5 - (-1 + s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 plus -0.6?\nAnswer: -268.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3296717 and 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, t: 2, w: 2}. Give prob of picking 1 w and 1 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/20 - y**4\/2 + 7*y**3\/6 - 2*y**2 + 3*y. Suppose 7 = -5*t + 27. Determine p(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 42*u + 21. Calculate q(3).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - v**2 + 2*v**3 - 6*v + (4*v - 4*v - v)*(4*v**2 - 4*v**2 + 2*v**2) + 9*v**3 - v**3 + 2*v**3.\nAnswer: 10*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1211 and 53\/8.\nAnswer: 9688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.07155 micrometers in meters?\nAnswer: 0.00001707155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4586 at most as big as -87117\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 26 = 3*q, 2*i - 4*q = q - 6. Suppose 2*x - 2 = l, -16*l + 15*l - 2*x + 2 = 0. Solve l = 4*h + 1 + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97295.\nAnswer: 5, 11, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.3 (c) -1\/11 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x + 29. Calculate the common denominator of 15\/11 and 6\/9*x\/4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1171 - 458. Let i = n + -683. Solve -6*c = -0 - i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, 0.5, 1\/14, -0.1, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 2, x: 3, g: 1, d: 1, i: 11}. Give prob of sequence xxwr.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -925000*u**2 + u - 2. Let a = -5 + 7. Let h be m(a). What is h rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 235*m**2 + 785*m - 727*m**2 + 239*m**2 + 248*m**2 - 3800 = 0.\nAnswer: 5, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -2*d**4 - 2*d**3\/3 - 33*d**2\/2 - 7643*d - 7559. Differentiate g(l) wrt l.\nAnswer: -24*l**2 - 4*l - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 9*o**2 + o**2)*(-2*o**2 - 2*o**2 + 2*o**2) + (4*o**2 - 3*o**2 - 3*o**2)*(0*o - o + 5*o)*(-2*o + 3*o + o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1764, -5745, -11938, -20343?\n\"Answer: -1106*w**2 - 663*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 47*s + 1. Let a = -14732 - -14734. Let q(r) = -47*r - 1. Determine a*k(p) + 3*q(p).\nAnswer: -47*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/((-4324)\/7820) + 16.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 - 27 - 1 + b**3.\nAnswer: -3*b**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052408358 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 36. Let y = i - -4. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2201 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -2026cbb?\nAnswer: 2026cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1953123 divided by -4\nAnswer: -1953123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f + 32. What is the smallest common multiple of d(-3) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 5*r - 3. Let u be m(-6). Factor -4*o - u*o**4 - 3*o**3 + 3*o**2 + 12*o - 5*o.\nAnswer: -3*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*s + l, 26*s - 25*s = -2*l + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 28313?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2277222 equal to -2277220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than 2113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420988293?\nAnswer: 3, 11, 1417469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**4 - 7*p**2 + 7*p**2 + (2 - 6 - 1)*(p - 2*p**4 - p) to the form v*p**4 + o*p + b*p**3 + r*p**2 + i and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/20 - 5*c**4\/12 + 7*c**3\/3 + c**2 + 959*c. Determine t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 11*o + 2. Let b be w(-10). Let j be b - (3 + -3 + -3). Solve -4*c = -j - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 207762256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, j: 14}. Give prob of sequence djdd.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2\/19))\/i*i**(-7\/5) assuming i is positive.\nAnswer: i**(-48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21*(2\/(-4) + (-148)\/888)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/6)\/(2357\/(-471) + 5). Are v and -40 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -681\/8. Let h = 14 - 18. What is the closest to 1\/2 in -1\/9, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -4, 0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 936146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 173 = -4*m + 572, -3*z - 195 = -2*m. Let v be (m\/15)\/(3\/15). Let w = v + -21. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10\/329607?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnyyy. What is prob of sequence yny?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24833786 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 6:44 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31805293 and 845.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/5)\/(2\/10). Let x be -1*(-18)\/z - 4. Suppose 5*m + 142 = x*l, -4*m - 11 = -3. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -293 - -141. Let u be 4\/(-18) - o\/36. Factor -2 - u*x**2 - x - 2*x + 3.\nAnswer: -(x + 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-315)\/24*(1002\/18 + -3). Let i = -691 - h. What is the nearest to -16\/21 in 0.3, i, 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(12870\/308) + (-2)\/18\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.09, 4\/5, -4, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 4.03. Let g = -23 + 24. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78746517.\nAnswer: 3, 8749613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.645 + -0.145. Let w = -6.15 + 0.15. Let v = w + 8. What is the biggest value in 0.1, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 32*h + 68. Let n be c(30). What are the prime factors of n\/(-10) + 6864\/80?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769*t - 26214 - 12236 = 0 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009547 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 58 - 439*m - 124 + 34 + 12*m**2 to b*m + l*m**2 + c and give b.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(120\/3))\/(4\/(-15)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13410.29 + -13410. Let h = -16 + 16. What is the closest to h in 2\/9, i, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/2)\/((-9)\/36))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60108, -240483, -541126, -962037?\n\"Answer: -60134*v**2 + 27*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 21341, -5, -1, -2, -74, 3 in increasing order.\nAnswer: -74, -5, -2, -1, 3, 21341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -777 + 776. Which is smaller: x or -3\/115?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868221507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 723 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let w be 5\/(-1) + 432\/54. Suppose l - 3*h - 365 = 93, -t*h = -w*l + 1353. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(405))**2 + (-2*sqrt(125))**2.\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*v**4 + 2*v**2 + 87*v**4 + 113*v + 84*v**4 + 2*v**2 - v**3 as y*v**4 + o*v**2 + z + c*v**3 + k*v and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -47. Is q + 5 + -4 + 32*4 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.06, 16, 1, 0.5, -1\/6.\nAnswer: -23, -1\/6, -0.06, 0.5, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1092960 divided by 540\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45976310041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8072059 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = i. Suppose 28 = 4*j - 4*o, -j + 2*j = -4*o + 17. Suppose -x + 0*l = -i*l - 13, l = -3*x + j. What is the remainder when 7 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1244 + 1191 + -5 + 4 + 31?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11421108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by 26?\nAnswer: -67\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1584.7 + -270.7. Let r = t + -1314.0008298. What is r rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjpwipwz. What is prob of picking 1 p, 1 q, and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5986*o + 4851 = -6085*o for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30269.0005 + -30262. Let r = 0.05 + -7.05. Let a = j + r. Round a to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/4 + (-1)\/2. Suppose o + 6*v = 2*v + a, -3*o - 5*v = -22. What is the first derivative of -2 + 1 - o*j**3 + j**3 wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*t + 6, -86 = -14*c + 5*t - 29. Solve -c = 2*a - 2*o + 3, -5*o - 15 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135138482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/30 and 23\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2 - 6. Let t be 0\/i - (-1 - 1). Let a be (-42)\/(-30) - (-6)\/10. Calculate the highest common divisor of t and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*a**2 - 56*a + 80*a - 22*a to the form f*a + m + g*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {g: 2, c: 1, n: 7, r: 1, h: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/9*2511\/(-1116)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7731554 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200986.\nAnswer: 2, 100493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/12 and 2 - 1 - 109\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246001991?\nAnswer: 53, 97, 109, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 715 and 25879139?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 1 + 1 + 36*m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 8:52 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(2 + 2\/4). Let t(p) = -6*p**3 + p**2 + 4*p - 1. Let c(j) = j**2 + j**3 + 1 + 0*j**2 - 2*j**2. Let k(n) = -5*c(n) - t(n). Determine k(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/(y*(y\/(y**(-7)\/y))\/y))\/(y**(-1))**(-9) assuming y is positive.\nAnswer: y**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 2*j**2 - 4*j - 2. Let m be w(-3). Let h be (3258 - -1)*m*-2. Let s = 104203\/16 + h. What is the common denominator of s and -1\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 - 10*a - 15. Let x be z(-7). Let h = 468 - x. List the prime factors of h.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - 3 + 3 + 0.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, f: 8}. What is prob of picking 3 x and 1 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k + 56 = 0. Suppose 3*c - 2 = 2*x + k, -4*x - 60 = -5*c. Let a = 28 + x. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -80, -0.3, -1\/5, -1\/6, 0.02, -7?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41636 - 41*j - 5949 + 34*j.\nAnswer: -7*j - 47585","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5515597449 to the power of 1\/3, to the nearest integer?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -470937 plus 5?\nAnswer: -470932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13987 divided by 3?\nAnswer: -13987\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5107234 (base 8) to base 15.\nAnswer: -1b92a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-176)\/(-110)*-2*5. Sort -3, p, 0, 1.\nAnswer: p, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/20 - 31*a**4\/12 - 10*a**3\/3 - 29*a**2 + 49*a. Let p be d(28). Round p to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = -3*o - 0*o, -2*q - 5*o = -16. Suppose 9*h - 2934 = -j, j = -q*j. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87.999999785 - 88. Round x to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189 + (-118 - -2) - 51.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.29 - 0.5.\nAnswer: -8.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -341 + 540. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b*b)**(-47)\/(b*b**(2\/11))**(-1) assuming b is positive.\nAnswer: b**(-1021\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.03 - 5.03. Sort -9, 4\/5, -5, 23, n in increasing order.\nAnswer: -9, -5, n, 4\/5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2093791 is divided by 67?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3 - 2. Let r be -1 + 1 + l\/(-5). Which is the biggest value? (a) -3 (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -177*k + 171*k + 42. Sort 12, k, 2, 1 in decreasing order.\nAnswer: 12, k, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 51*t - 1134. What is the remainder when 81 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 22728?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(425) + 0)*-6 + sqrt(272) + sqrt(272)*-1 + -2)**2.\nAnswer: 600*sqrt(17) + 76520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(704)*3 + sqrt(704))**2 - (5*(1 + sqrt(539)) + (-4*(sqrt(539) + -1 - sqrt(539)) - sqrt(539)))) + 5.\nAnswer: -67594 - 412*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 123*l = -118*l + 119, -l - 35 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31880 is divided by 7751?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1\/5, -2\/11, -0.5, 2.37.\nAnswer: -0.5, -1\/5, -2\/11, 2\/15, 2.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3691, -13, 1, -235 in decreasing order.\nAnswer: 1, -13, -235, -3691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132219565 to the nearest integer?\nAnswer: 11499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1254.869 to 0 dps.\nAnswer: -1255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*y - 157*y - 176*y = -6604 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 5*f + 2. What is q(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.4 + 9.4. Let l = 0.04 + 0. Let r = l - 0.14. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-580)\/725*(-350)\/(-20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15*(2 - 30\/18). Solve 8 = -v*l + 2*d, 2*l + 2 = 2*d - 0*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:23 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 + 5*m - 10*m**3 - 5*m**4 + 9*m**2 + 4*m**5 + 0 - 5 + m**2.\nAnswer: 5*(m - 1)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5381 - 293. Is (i\/6 - -3)*-15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 57. Find the common denominator of 1\/v*(-6 - 64\/(-3)) and (-118)\/(-4)*(-1)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9851200, 9851386, 9851696, 9852130?\n\"Answer: 62*t**2 + 9851138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/3)\/(-1))\/((-176)\/(-2112)) - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1864 and (-8)\/(-4) + -10 + 948\/128?\nAnswer: 7456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9*b - 1974 = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 2\/9 (b) -1\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 6*l + 20 = 4*u, -5*u + l = -36. Solve 0 = 11*c - u*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63024830 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)**(-29\/5)\/(b**(-5)*b**(2\/9)) assuming b is positive.\nAnswer: b**(-46\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*d + 105 - 556, -749 = -5*d - w. What is the greatest common factor of d and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 - 5. Let w(q) = 3*q**2 - 4. Let z(f) = -4*s(f) + 5*w(f). Let p(i) = i**2. Calculate z(p(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s + 63 = -19*s. Suppose 5*k - 126 = -4*h, -12*h = -s*h + 2*k - 166. What is the remainder when 129 is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 113, -4 in descending order.\nAnswer: 113, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 6 - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929410.\nAnswer: 2, 5, 92941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2)**2 - (sqrt(85) + (sqrt(85) - sqrt(85)*-2))\/sqrt(5) - 4*(sqrt(17) + (sqrt(17) + -2)*-3).\nAnswer: 4*sqrt(17) + 1676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 5*i + 7. Let f be l(4). Suppose -3*s - 7 = r + 3, -f*r - 10 = 5*s. Solve r*c - c = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u - 2780 + 1327 + 1453.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c. Let r(n) = -6*n - 9. Suppose -5*w = -2*s + 7 - 14, 2*w = -2*s + 28. Let i(z) = 3*z + 5. Let b(v) = s*i(v) + 5*r(v). Give k(b(d)).\nAnswer: -39*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -6.23485?\nAnswer: 6.53485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-94)\/(-4))\/(((-85)\/(-85))\/((-4)\/2)). Which is smaller: -0.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (-106 + 92) - 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 6) + (-144 - (5 - (-11 + 19))).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 329765888.\nAnswer: 989297664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 118 - 118 - f. Let x be -4 - 3*2\/(-3). Let p(m) = -16*m**2. Let h(t) = 2*t**2. Let k(a) = x*p(a) - 14*h(a). What is r(k(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -5*r + 9*x + 1567, -1252 = -4*r + 2*x. Differentiate 26*n**3 - 96 + r - 100 - 81 wrt n.\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -36466566*u. Let s(a) = -25*a. Determine s(f(c)).\nAnswer: 911664150*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75118868?\nAnswer: 2, 11, 593, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + (3 - 4) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40674 + -40641. Solve 2*s - 2*w = 0, -3*s + w - 31 = -a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02 or 2.8995?\nAnswer: 2.8995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784)*-2 + sqrt(400)*2)\/((-3*(sqrt(96) + sqrt(96)*-2 + sqrt(96) + sqrt(96)))\/sqrt(12)))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3 - -1)\/1. Suppose -t*b + o = -2595, 1026 = 2*b + 2*o - 704. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 6*g**2 - g + 5. Give w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.031 (b) -2 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12523*d**3 + 2164*d**3 + 9280*d**3.\nAnswer: -1079*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 180, 353, 536, 735, 956, 1205?\n\"Answer: a**3 - a**2 + 169*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185657?\nAnswer: 3, 11, 19, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 7*k - 3. Let a be (-34)\/221 + 212\/26. Let h be q(a). What is the second derivative of -4*y**5 + 21*y**5 + 16*y + 27*y**h + 7*y wrt y?\nAnswer: 880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -212 - -212.2. Let n be (-1 - -1)\/(4 + -2). Let q = -3.2 + 3. Which is the closest to 4? (a) q (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1519591 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j + 2*g - 6, 0 = 4*j - 3*g + 12. Suppose 9*l - 6*l - 6 = j. What is the third derivative of 7*d**l - 3*d**2 + 8*d**5 + d**2 wrt d?\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-12))\/(111930\/(-260))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854306546 plus 8?\nAnswer: 854306554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddrddrzzddrrddddzd. Give prob of sequence zd.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 4. Let z be p(7). Let t = z + 32. Suppose 17*h + 300 = t*h. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, m: 3, e: 1, r: 2, c: 1, q: 1}. Give prob of picking 1 r, 2 m, and 1 c.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e3d1 (base 15) in base 10?\nAnswer: -149371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1559\/5 - 311. What is the second smallest value in s, -0.4, 4, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcxmomxoomfccmmxmoxc. Give prob of sequence oxo.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63987 is divided by 136.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*c + 4, k = -0*k + 4*c + 10. Suppose -2*m - 2 = -r, -k*r + 4*m = -2*r - 4. Let o(w) = -w + 4*w - 2 + r. Calculate o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28344, -56679, -85012, -113343?\n\"Answer: j**2 - 28338*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 5, i: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**3 + 7*g**2 - 7*g - 7. Let v(f) be the second derivative of -f**5\/5 - f**4\/4 + f**3\/2 + 3*f**2\/2 - 7*f. Let j = -10 - -4. Give j*u(k) - 14*v(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a (base 16) to base 4.\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) + (-12)\/(-8). Sort c, 0.2, -3 in decreasing order.\nAnswer: c, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/731 + (-10)\/(-408)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (150\/48)\/((-1470)\/(-72) + -20). Let -6 - 3\/2*h**2 + d*h = 0. What is h?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311476 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3814 > -3814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -12154?\nAnswer: 12145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046 * -0.0616.\nAnswer: -0.0028336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6 - -5 - -12) + 0 + -14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -85490, -170964, -256438, -341912?\n\"Answer: -85474*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + (56 - -13) + -70.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51052449, -102104894, -153157339, -204209784, -255262229, -306314674?\n\"Answer: -51052445*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 506 + -272. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 5*j + 5. Let l be s(-6). Let q be -1*1\/l*39. Let w = 29 + -16. What is the highest common divisor of q and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 4*b**2 - b + 1. Let o be p(2). Let u = o + -1. Let v be (-32)\/u + (-1)\/(-3). Sort 1, -3, v.\nAnswer: v, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/19))\/x)\/(x**(-18)\/x) assuming x is positive.\nAnswer: x**(362\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5)*((-110)\/(-44))\/(6\/(-150))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-9 - -4) + 38 + 14 + -8?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7.1 (b) -2540 (c) 36 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 1 - 3. Let a be (-3)\/t - (-44)\/8. Suppose 0 = a*m + m. Solve m = -u + 4 - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62004 and 437438220.\nAnswer: 437438220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -48. Suppose 19*o - 720 = 8*o - 19*o. Calculate the least common multiple of l and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**3 - 6*q**3 - 8*q**3 - 11*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.42 + -3.3. What is the third biggest value in 1, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 5*a**2 - 13. Let d(f) = -f**3 + f**2. What is 5*d(n) + j(n)?\nAnswer: -4*n**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153212 - 282265. Let l = -435464.000055 - w. Let y = -13 + l. What is y rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -35 + 3*z + 34 + 0*z. Let r be y(6). Solve -2*i + 2*j - 1 = 1, 0 = -4*i - 3*j + r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 12)\/(3\/(-7)). Suppose 2*g = x*g - 355. Let k = g + -17. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 184, 745, 1680, 2989, 4672, 6729?\n\"Answer: 187*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*c + 12 = 0, -3*p - 2*p - 12 = -c. Let z be (-1 - p) + 9\/(-9). Let w(h) = h + 9. Let i be w(-4). Solve i = 5*l - z*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n. Let b(o) = -4*o**3 + 46*o**2 - 59*o - 8. Let j be b(10). Let s(c) be the first derivative of 3 + 0*c + 0*c**j + 1\/3*c**3. Give l(s(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 2*t**2 - 931*t + 900. Determine r(-32).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202.7 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from nwnnnwnnnannnnnnn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {l: 1, w: 6, q: 1, m: 3, v: 3, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 87066.41 kilometers?\nAnswer: 87066410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**2 - 15*u**2 - 5*u**2 + (-u - 2*u + 5*u)*(u + u - 4*u) - 48*u**2 + 3*u + 1 + 45*u**2 + 0*u.\nAnswer: -17*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s*s\/(((s\/(s\/((((s\/(s*s\/(s**(-4)*s)))\/s)\/s)\/s))*s*s)\/s)\/s)))*s\/((s**(1\/2)\/s)\/s*s)*s*s**(-8)\/(s**8*s) assuming s is positive.\nAnswer: s**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -32, -51, -70, -89?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 12:38 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 353*y**2 - 352*y**2 + 1053*y**2 - 3 - 351*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.1. Let o = -3.52 - 0.48. Which is the third smallest value? (a) o (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 441*n + 3369. What are the prime factors of p(22)?\nAnswer: 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 7930\nAnswer: -3965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-30))\/(39\/((-27144)\/812))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:57 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1643 and 186.\nAnswer: 9858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 0*h**3 + 0 + 0*h**2 + 14*h + 11\/12*h**4 + 0*h**5 + 13\/10*h**6. What is the third derivative of w(v) wrt v?\nAnswer: 936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 18*b - 405. Let c be u(-13). Suppose -4*n = -13 + 1. Let q be (0*n\/6)\/1. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -2\/7, 43735, 2, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511334 a multiple of 1904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2 + 3. Let c(g) = -5. Let z(b) = -3*b + 6. Let r(q) = -3*c(q) - z(q). Calculate w(r(x)).\nAnswer: -6*x - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(9*f - 19*f - 14*f)*(1 + 0 + 0).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2230, 5071, 9806, 16435, 24958, 35375?\n\"Answer: 947*h**2 + 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-7)\/c)\/c**(-1))**11 assuming c is positive.\nAnswer: c**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 9 = 14*q. Let u(k) = -5*k + 25 + 0*k + 7*k. Is u(q) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2 + 450553*c - 3604360 = 0.\nAnswer: 8, 450545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 15. Let v be s*1 + 1\/((-6)\/(-36)). Let q(i) = -5*i**2 - 20*i - 50. Let g(c) = -2*c + 1. Let f(p) = v*g(p) + q(p). Factor f(h).\nAnswer: -5*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87207 + 87190.9996. Let o = -203 + 219. Let p = a + o. Round p to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242817 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/5)\/2)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 5*h - 5*h + (-1 - 2 + 1)*(-3*h + 2*h + 2*h) - 3*h + h - 3*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -87727410.\nAnswer: 96500151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 45*l - 221. Let s be d(5). Solve 3*k = -s - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 5 (b) 0.5 (c) -4.18 (d) -31 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86252, 345027, 776322, 1380137, 2156472, 3105327?\n\"Answer: 86260*u**2 - 5*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 7996*q - 103603. Calculate a(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474 is divided by 211.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21716 divided by -2.\nAnswer: 10858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 855, 858, 871, 900, 951, 1030, 1143, 1296?\n\"Answer: d**3 - d**2 - d + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 5 in descending order.\nAnswer: 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 - 5*n + 4. Let b be r(4). Let w = 34 - b. Let v = 29 + w. Solve 4*q - v = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-4 - -2) + 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:51 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 79232.2988 and -10749.3.\nAnswer: 68482.9988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 377174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755 a factor of 4217905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 244\/7 - 35. Is y <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 115*u**2 + 10*u + 12. Determine m(-1).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.3374 rounded to one decimal place?\nAnswer: 363.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*d*g**2*q + 27*d*g**2 - 109*d*g*q + 22*g**2*q + 10*g**2 - g - 2*q + 2 with respect to d.\nAnswer: 31*g**2*q + 27*g**2 - 109*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 0*b + 0*b**3 - 3 - 1\/2*b**4 - 9*b**2. Find the second derivative of g(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 41?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 73 = 2*t, -394*t + 810*t - 134 = -f + 309*t - 2 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51452537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -140767, -280929, -421091?\n\"Answer: -140162*c - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 - -123. Suppose -5*w + 1 = -x. Solve -4*b = -w, -t = 3*t + 4*b - 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*s**4 + 4*s**3 - 100*s**2.\nAnswer: -936*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-1)\/x)*x**(-3\/8)*x\/x**(1\/2)*x**(-1\/10)\/x*(x*x**1)\/x*x*x**(3\/2)*(x*x*x\/(x*x\/x**4))\/x**(-2\/7) assuming x is positive.\nAnswer: x**(3027\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*b - 23, -32 = -4*t + 356*b - 357*b for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*s**3 - 30*s**3 - 14*s**2 - 7*s**2 wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -7.1. Let q be (-4)\/3*3 - -13. Let b be -3*q\/((-324)\/(-8)). Sort d, -3\/2, b in decreasing order.\nAnswer: d, b, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 41 = -5*p, 3*f = 2*p + 3*p - 57. Let l be (-12)\/f*112\/32. Let r(j) = 4*j**2 + 6*j + 3. What is the tens digit of r(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304 a factor of 178955468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118834 - -118834.2. Let k = -1 + 5. Which is the smallest value? (a) k (b) r (c) -14 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1848 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 392040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l - 4. Let b = -2 + -8. Let h be s(b). What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m**2 + 0*m + 7\/15*m**6 + 0*m**4 + 21 + 4\/25*m**5 + 0*m**3. Suppose s(w) = 0. What is w?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 15*r - 5*c - 68 = 0, 0 = -2*r - c + 92. Calculate the lowest common multiple of 3 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112992177 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14501033 is divided by 517893?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -3*p - 0 - 1, 17*v - 23 = p + 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 - 138*o - 6. Let f(h) = 7*h**2 - 115*h - 5. Let w(d) = -5*c(d) + 6*f(d). Let x(p) = 8*p**2. Calculate w(x(m)).\nAnswer: 128*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -79 - (-194 + (28 - -53))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = -6, -3*m + 12 = -3*t. Let a(i) = -167 + 85 - 5*i + 83. Determine a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -775394858*k**2 + 501991532.\nAnswer: -1550789716*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279833379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = 3*r - 7488. Suppose 4*n + r = 8*n. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 + 9*l - 2. Calculate u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2089*a**2 - 2089*a**2 + 19*a**3.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + -4) - 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -40\/78327?\nAnswer: -40\/78327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10bc - -49?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*g - 2*g - 3 + 3 to the form q + t*g and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i*l**3*n**2 + 8*i*l**2*n**3 + i - 3*l**3*n**3 + 2*l**2*n**3 - 2*l*n**2 + 28*l wrt n.\nAnswer: 48*i*l**2 - 18*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + (-5 - 1 - -8). Which is the fourth smallest value? (a) -3 (b) -5 (c) s (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*r - 5*b - 33, 4*r - 36 = 4*b. Let f be (-52)\/16 + 3 - 18\/(-8). Put -2, f, 0, r in ascending order.\nAnswer: -2, 0, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/1*(-22)\/(-6). Let n = 2168 - 2201. Is t < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 6 + 4*a**5 - 3 + (-3*a**2 + 2*a**2 + 0*a**2)*(0*a**3 - 4*a**3 + 6*a**3).\nAnswer: 2*a**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 28. What is the remainder when 61 is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let j = 7 - 5. Let k(d) = d**j + 3*d**2 + 3*d**2. Calculate k(o(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 27*v - 26. Let a be r(-10). Suppose a*z = 16, 0 = 5*b + z - 1145 + 46. List the prime factors of b.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 + 8*y**2 - 33 + 33 to t*y**2 + f + v*y and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 75c845?\nAnswer: 75c839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - j - 3. Let m be d(3). Suppose -4*t - t + 4*k + 30 = 0, t - m*k = 17. Solve -2*f - g = 2*g + 6, -g - t = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -917, -890, -873, -872, -893, -942?\n\"Answer: -r**3 + r**2 + 31*r - 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51917 + 4*r + 2*r - r - 51917.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, -0.03, -21761, -0.2?\nAnswer: -21761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230717.\nAnswer: 19, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -47. Let r = 40 + w. Solve 3*k - 13 + 4 = 0, r*k = -3*v - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 11 = -16. Solve 0 = i*t - 7*t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1251, -1094, -843, -498, -59?\n\"Answer: 47*w**2 + 16*w - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 789, -4, 0, 5, -2 in increasing order.\nAnswer: -4, -2, -1, 0, 3, 5, 789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*y + 15*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - -1.15. Let i = 31 - 31.79. Let h = i - v. Round h to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -161569, -323147, -484725, -646303?\n\"Answer: -161578*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -512050 divided by 1463.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.481.\nAnswer: -0.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*r - 8*r - 9*r + 365*r**2 as x + s*r**2 + b*r and give s.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4460 and 4.\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2667)\/381*24\/(-4116)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 165644043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 610866, 610861, 610856?\n\"Answer: -5*m + 610871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:16 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 6035*x**2 - 492360*x.\nAnswer: -5*x*(x + 88)*(x + 1119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002246169241 to 7 dps.\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Suppose 2*v - 3 = -i + 32, -3*v + 9 = 0. Let z = 25 - i. What is the closest to b in z, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1287 + 62 = -5*x. Let r = x + -226. Solve 2*q = -3*g - r, 2*q - 3*q + 13 = -3*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -117. Let u(y) = 2*y**3 - y**2 - 5*y - 9. Let t(r) = 3*r**3 - r**2 - 8*r - 14. Calculate q*t(l) - 8*u(l).\nAnswer: -l**3 + 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8 + 144*d + 138*d - 263*d - 15. Let b(k) = 5*k - 2. Calculate 22*b(w) - 6*n(w).\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*d = -75*d - 545 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11 = 3*l, -4*l + 2*c = 6*c - 28. Solve l*i = 4*g + 20, i - 2*g - 12 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 - 425*p**2 - 1445*p - 260. Calculate t(145).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 6, l: 7}. Give prob of picking 1 l, 1 h, and 1 o.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 12, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 24 - 44 = 0. Is 14 a factor of 7 + 1134\/30 - (-2)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1607, -1614, -1633, -1670, -1731?\n\"Answer: -m**3 - 1606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979079026?\nAnswer: 2, 139, 3521867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1202 - 1191.7. Round z to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878481 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195179 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 640210527 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-34))\/(48\/(-2856)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + 1. Let c(d) be the second derivative of -d**3\/3 + 19*d**2\/2 - 10*d. Let w be c(9). Is f greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 6*a**4 + 1390*a**3 + 78862*a**2 - 190710*a + 54756 = 0.\nAnswer: -117, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -157534 divided by 15?\nAnswer: -157534\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001900875014 rounded to seven decimal places?\nAnswer: -0.0019009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 + 2.1. What is the closest to 6 in -2, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 - 166. Calculate the greatest common divisor of k and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 37*x**3 - 18*x**3 + 11*x.\nAnswer: -55*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1*s*s\/(s*s\/(s*s\/(s**22*s)))*s assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 9*r + 252. Calculate d(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 26*v + 27*v - 7 wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9969*q + 12820124. Give t(1286).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0 (c) 1 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a factor of 349358828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195020)\/(-16716))\/((-5)\/(-39)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -653 (b) -2.8 (c) 3\/8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 5 (c) -59 (d) 0.6 (e) -5 (f) 0.18 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)\/sqrt(64).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/14, 6\/21793, -0.4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*j + 119*j - 240 = 1100. Let x(l) = 6*l - 1. Let q be x(1). Sort -5, q, -2, j.\nAnswer: j, -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 - 11*t + 46. Let r(j) = 2*j + 28. Let k be r(-12). Is v(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 15*y + 2685557. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 47*y**4\/12 + 14*y**2 - 33*y. What is the derivative of m(z) wrt z?\nAnswer: 94*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 23. Let v = x + -15. What is the common denominator of 21\/10*-1 - v and 55\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 34725*t - 34730.\nAnswer: 5*(t - 6946)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w**3 - 2*w**2 - 3*w - 2. Let x be c(-1). Calculate the highest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -32. Let z(p) = p**3 + 4*p**2 + 3*p - 1. Let w be z(o). Which is the smallest value? (a) -5 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 911 - 446. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = g + 347, -3*s = -4*g - 0*g + 322. Let v = s + 192. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*h**3 - 153\/4*h + 54 + 15\/2*h**2.\nAnswer: -(h - 24)*(h - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3191, 12975, 29183, 51821, 80895, 116411, 158375?\nAnswer: 206793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13773 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: What is -4 (base 12) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 6. Suppose -4*v + 35 = t, 2*v - 30 = -v - s*t. Let h be (3 - 1)*1\/2. What is the greatest common factor of v and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**8\/112 + k**5\/15 + 7*k**2\/2 + 2*k. Let v(z) be the first derivative of c(z). What is the third derivative of v(f) wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -4194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n**2 + 0*n)*(-22 - 134 - 15)*(-1 - 2*n - 2*n + 2*n)*(n + 3*n - 3*n).\nAnswer: -342*n**4 - 171*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27945 - 27944.9969923. What is b rounded to five decimal places?\nAnswer: 0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25767.\nAnswer: 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012458279499 rounded to six dps?\nAnswer: 0.012458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 537683?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -21, -44, -75, -114?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1436879, -2873760, -4310641, -5747522?\n\"Answer: -1436881*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5383 take away -16174?\nAnswer: 21557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**7\/3 + 23*c**6\/15 - 2*c**5 + 2*c**4\/3 + 63*c. Let j(m) = 0. Calculate m.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 = -4*w, 33 = 4*w + 3*v + 17. Solve p + w = 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-154)*22 + (-18)\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = 4*l. Let a(z) be the second derivative of 3*z**5\/5 + z**3\/6 + z**2\/2 + 5*z - 4. Calculate a(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 4, l: 1, t: 1, o: 6}. Give prob of picking 2 m, 1 l, and 1 n.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1187*q**3 + 37931*q**2 - 14580*q**2 - 15163*q**2 wrt q.\nAnswer: 7122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 3\/4, -7, 0.01, 5, -0.185?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from ppucuupuupppcappa?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3628423ug to tonnes.\nAnswer: 0.0000000000003628423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 6 + -1 + 6 + -6 - 1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1217*j**2 - 654*j**2 + 3353*j**2.\nAnswer: 3916*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13452.\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2244 + 6443 - 342 = 186*t - 25 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tktkkktttttttktttk. Give prob of picking 2 t and 2 k.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o**2 + 71*o + 293. Determine a(-4).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*w + 1, 5*b = -2*w + 1. Let k(q) = q - 1. Suppose -4*p - 30 = -0*p + 2*y, -2*p + y - 9 = 0. Let h(i) = -8*i + 7. Give b*h(z) + p*k(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubkc when four letters picked without replacement from {n: 4, b: 3, k: 4, c: 1, u: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2015 = -1371*l + 1306*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -367 - -366.999999186. What is v rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*r + 8, -2*r = -7*y + 11*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:21 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.202224 tonnes to kilograms.\nAnswer: 9202.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.462402ug?\nAnswer: 9462.402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19100 + 0.6\nAnswer: -19099.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -105, -404, -1001, -1998, -3497?\nAnswer: -5600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14708.3853 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2 - 1489576*q + 14895560 = 0. What is q?\nAnswer: 10, 744778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**4*m**(1\/8)*m*m)**1*((m**0\/m)\/m)**(-6\/5)*m*m**(-1\/3)\/m*m*m\/m**(2\/9)*m assuming m is positive.\nAnswer: m**(4309\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146107901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 - 2*d + 1. Let r be b(-3). Suppose -57 = -5*k + 23. Suppose k = -4*i + 4*h, -4*i - 5*h = -2*i - 27. Put 3, r, i in ascending order.\nAnswer: r, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 2*d - 23. Let r(n) = n**2 - n + 1. Let h(o) = -o**3 - 12*o**2 - 11*o - 10. Let f(g) = -h(g) - 2*r(g). Is f(d) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1726.\nAnswer: 1\/1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:28 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 19*h + 1. Let c be b(-5). Let z = -34591\/922 - -8\/461. What is the common denominator of z and c\/(-14)*(-49)\/(-378)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 40099995 = b, 3*k + 19*b = 17*b + 60150010. What is k rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 17*t**2 - 69*t + 11. What is the thousands digit of y(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -77.85. Let c = m - 0.05. Sort -4, 1\/4, c, 3 in increasing order.\nAnswer: -4, c, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {c: 3, p: 13}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -11 + 3. Let z be (-4)\/(1 + (-14)\/(-4)). Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 6*y**2 + 3*y + 17. Let x be o(-6). Let j be x + 40\/25 + (-7)\/(-5). Factor 0 - 2\/15*v**j + 4\/15*v.\nAnswer: -2*v*(v - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 - (-3)\/30. Let a = 1.2 + -1. Let k be (2\/(-20))\/(2\/5). What is the closest to 0 in a, k, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llsllsilsllsllslss. Give prob of sequence ll.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1309*g + z - 8 = -655*g - 651*g, -17*g - z = 32 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10452032*c**2. Let y(x) = 7*x**2. What is a(y(f))?\nAnswer: -512149568*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 4 + (-48275)\/48. Let a = z - -3032\/3. Find the common denominator of a and -103\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7db87 + 1?\nAnswer: -7db86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 99059 = -0*z - 36656. Is z a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 7*v - 2. Suppose -a + 25 = 2*f - 117, -a = 3*f - 212. Let c be (-2)\/(-10)*122 - 28\/f. Suppose 46*x = 42*x + c. What is o(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 2680832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 154942761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1556297 or 1556355?\nAnswer: 1556297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946086 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 16 = -j, -4*j - q = q + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*-3*4. Suppose -u = -c - 41. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 252439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmtmttmtmtttttttttmt. What is prob of sequence tmtt?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 129.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 55453612?\nAnswer: -55453600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -10221101022211?\nAnswer: -10221101022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/68 (b) 0.15 (c) -1\/4 (d) -0.1 (e) 4 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37201, -74359, -111477, -148555, -185593, -222591?\nAnswer: -259549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 26171\/20156?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 19. Suppose 8 = 4*f - 3*t - 21, 5*t + 20 = f. Let r = f - x. Solve z + k + 4*k - 5 = 0, r = -4*k + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10668 is divided by 181.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9293207 + 9293084.999931. Let n = s + 122. Round n to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e932 + 23?\nAnswer: -8e90f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/23, -1, 3, -0.1, -11\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108468 + 108219. Let y be 2496\/(-10) - 6\/15. Which is greater: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2243331231 (base 5) to base 11\nAnswer: -294542a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/96*4*(6720\/(-476))\/30?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 8*b - 9. Let i be n(-6). Calculate the common denominator of 96363\/(-19920) - (-5)\/50*(-6 - 0) and ((-3)\/2)\/(i\/93).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, e: 2, x: 2, u: 2, q: 6, b: 3}. What is prob of sequence bbx?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 8*m - 2. Let o be f(-6). What is the highest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -u + 312, 3*x - 195 = 4*u - 2*u. Calculate the remainder when 112 is divided by x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 4*z**2 - 2*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 65, 222, 525, 1022?\n\"Answer: 8*q**3 + q**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 p when four letters picked without replacement from puimuiminimpmimpimmp?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 106?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24258335 or -97033337\/4?\nAnswer: -24258335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + -212221212?\nAnswer: -212222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 2*m**2 - 6*m**2 + (-m + 2*m + m)*(-3*m - m + 2*m) + (0 + 15 + 3)*(-m**2 - 2*m**2 + 5*m**2) - 2*m**2 + 3*m**2 - 2*m**2.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**4 + 460*c**3 + 916*c**2 + 465*c. Let i(y) = y**2 - 7*y. Let d(b) = -5*h(b) - 5*i(b). Factor d(n).\nAnswer: -5*n*(n + 1)**2*(n + 458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -996 (base 11) to base 12.\nAnswer: -836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 12:00 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 13. Let i(v) = v - 12. Let x(j) = -61*j + 369. Let y be x(6). Determine y*w(s) + 4*i(s).\nAnswer: s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 140414852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7387, -3489, 3009, 12107, 23805, 38103, 55001?\n\"Answer: 1300*t**2 - 2*t - 8685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) - 28\/(-15). Let t = -4.1 + 4. What is the third biggest value in t, -1\/3, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (0 - 0\/(-2)). Let f = 3 - w. Suppose 7*r - 2*g + 8528 = 8535, -4*r + 3*g = 9. What is the remainder when r is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/(-66))\/((-4)\/222). Is -37 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7661072 and 2812.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18606 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 148. Let j(s) = 2*s - 75. Calculate -7*j(g) - 4*u(g).\nAnswer: -2*g - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q + 4*q)*(310*q**2 + 1 - 312*q**2 + 0 - 3*q).\nAnswer: -2*q**3 - 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21529 + 21649. Let c = -12.112346 - -132.112343. Let g = c - z. What is g rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29722 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 199120168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:51 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3097 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v + 59*v + 6344 = 117*v. What is the remainder when v is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 2*u - 18 = -12*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93182882 to the power of 1\/2, to the nearest integer?\nAnswer: 9653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122521, 245075, 367629, 490183, 612737?\nAnswer: 735291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 5*i**2 - i. Let l be y(5). Let a = -1853 + 1863. Let f(w) = 0 - 23 + a + 7 - w. Determine f(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*d + 173*d - 7 - 134*d - 140*d - 145*d + 7.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*6\/(-12) - 1*-7. Let a(f) = f - 5*f**2 + 5*f**2 + 7*f + i*f**2 - 24. Is a(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02616308 rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jggj when four letters picked without replacement from {g: 3, j: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvggvvggvvlvgvgvvvl. Give prob of picking 3 g.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 41.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 298 + -269.9. Let i = 28.09999701 - j. What is i rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:26 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1237145?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79.47935 - 0.4.\nAnswer: -79.87935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -11. Let i(h) = 3*h**3 - 4. Let v(p) = 3*p**3 + 17*p + 65. Let t(x) = x**3 + 6*x + 23. Let d(m) = -17*t(m) + 6*v(m). What is r*d(b) + i(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from ajwywqa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14238152 and -0.5.\nAnswer: 7119076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 601\/10. Let k = 19 + 111. Calculate the common denominator of u and (k\/(-600))\/((-1)\/27).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:47 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -24*a - 2. Let d(b) = -8*b - 1. Let k(i) = -7*d(i) + 2*z(i). What is k(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741658568 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: Simplify (sqrt(19)*-2 + 5)*6 - (-4 + (sqrt(19) - sqrt(57)\/sqrt(3)) + 0).\nAnswer: -12*sqrt(19) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -58, -135, -238, -379, -570, -823?\n\"Answer: -2*t**3 - t**2 - 60*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 17*b + 4. Let s be -5*((-24)\/(-15) - 2). What is the remainder when 75 is divided by n(s)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(40)\/(sqrt(10)\/sqrt(2)))\/(-1*sqrt(196)).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 54 - 4 + 13*c - 56. Calculate d(9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 35*f + 96 + 61 - 162 - 2*f**2 - 4*f. Calculate s(13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427192610.\nAnswer: 2, 5, 13, 3286097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**3*w + 719258*j**3 - 2*j**2*w + 628251*w wrt j.\nAnswer: -18*w + 4315548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3 - (-140 - -148)) + (-9 - -72 - 13)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/9 + 76981076*z\/9.\nAnswer: -4*z*(z - 19245269)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 3*f + 4*f)*(-2393*f + 175*f**2 + 7945*f - 176*f**2)*(-6*f + 4*f + 0*f) to the form w*f + j + b*f**4 + s*f**3 + c*f**2 and give s.\nAnswer: 22208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -7\/3*j**3 + 0*j**6 + 8 + 0*j**5 + 2\/7*j**7 + 0*j**4 + 0*j + 0*j**2. Find the third derivative of m(c) wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -20*m - 82*m**2 + 79*m**2 - 2*m + 30 - 12*m. Calculate d(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 18. Let q = -0.63 + 0.03. Let c = 4.3 + -4. Put c, q, w in increasing order.\nAnswer: w, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*i - 12, 3*a - 4*i = 20. Solve a = 4*t + 8, -2*t = 5*x - 0*t + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/28 - -83\/252. Let d be (16\/6)\/(2 - 0). What is the third biggest value in k, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 4*g + 4*g + (2*g - 6*g + 3*g)*(135*g + 158*g + 48*g)*(-2*g - 3*g**2 + 2*g).\nAnswer: 1022*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -365 + 432. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.112 + -0.012. Let v = -8 + 26. Let h = 1 + v. Is s < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 2\/17, 0.95, 2\/9, -2?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 77*u + 1. Let r(c) = 1840*c + 24. Let t(g) = -r(g) + 24*y(g). Let b(o) = -89*o - 2. Give t(b(q)).\nAnswer: -712*q - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1377) - sqrt(1377)*1)*-4 + 4*(sqrt(1377) + 1) + 4)**2*3 + 2.\nAnswer: 2160*sqrt(17) + 66398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.4426 + 7.444. Let x = 18 - 21. Let l = x - g. What is l rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/(1\/(-2)). Suppose 0 = -9*a + 2*a + 112. Let p(v) = -v**3 + 16*v**2 + v - 15. Let w be p(a). Put w, y, 0 in increasing order.\nAnswer: y, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 14843.\nAnswer: -29686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b**5 - 6824*b**4 + 708284*b**3 + 79118128*b**2 - 53058192*b = 0. Calculate b.\nAnswer: -66, 0, 2\/3, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3 - 4246*q**2 - 254286*q + 2633958 = 0. What is q?\nAnswer: -2061, -71, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 11. Let k be u(-9). Let d be k + 7\/((-28)\/16). Which is smaller: d or 26?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**2*y**3 + x**2 - 39*x*y - 7*x + 29585*y**2 + 13*y wrt y.\nAnswer: -12*x**2*y + 59170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1534 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:43 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11132759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 42 - (-3 - (-6 + 7 - -3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -4734519304 - -4734519435.93539205. Let u = o - 254.9353931. Let w = 123 + u. What is w rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40035, 80075, 120117, 160161, 200207, 240255, 280305?\nAnswer: 320357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/24 and -85\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 226465104, 452930211, 679395318, 905860425?\n\"Answer: 226465107*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89000 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.147924um?\nAnswer: 0.0007147924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 928949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*x + 1075, 0*x = -4*h + 5*x + 4297. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*k = 3*k + 244, 2*k = 5*a + 305. Let s = 62 + a. Suppose 2*l + 0*g - 5*g + 7 = 0, -2*g = -5*l - 7. Sort s, l, 3 in decreasing order.\nAnswer: 3, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/10 + 30301939*g**2\/5 - 918207507159721*g\/10.\nAnswer: -g*(g - 30301939)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = -97*l - 1992 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4402, 35462, 119780, 283984, 554702?\n\"Answer: 4438*q**3 + q**2 - 9*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 639 and 33400956?\nAnswer: 100202868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -a - 2*a. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 + a**3 - 855*a**2 - 1399*a + 6 - 6 + 854*a**2 in the form h*a + w*a**4 + c + z*a**3 + t*a**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 874 = 5*q, 2*i = -q + 853 + 913. Suppose -3*l = -5*j + i, 3*l + 105 + 254 = 2*j. Let u be (-1 - 1)*(j\/(-63) + 3). Is 1 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 108, 213, 318, 423, 528?\n\"Answer: 105*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 x when three letters picked without replacement from txtxttxttttttt?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71412 divided by -11.\nAnswer: -6492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 1\/24*p**4 + 1\/20*p**5 - 2\/3*p**3 - 2\/15*p**6 + 0 + 0*p + 2*p**2. Is o(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3344*d - 112. Let r(y) = 478*y + 17. Determine 20*r(g) + 3*v(g).\nAnswer: -472*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -0.4 (b) 1312 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-742*n + 978*n - 1104*n)*(0 + 5 - 3)*(3 - 6 + 2).\nAnswer: 1736*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*b - 37, 0 = -p - p - 6. Suppose 8 = 4*o - 4. What is the remainder when b is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -4*c - 2*s - 2*s, -4*c - 172 = -s. Let d = 48 + c. Let r be d - (-1 - (-7 + 3)). Solve n + r - 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - q + 10 = -5, 3*t + 3*q = 21. Suppose t*s - 1 = 3*j + 1, -2 = -3*s + 2*j. What is the fourth smallest value in 5, -3\/2, s, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.31, 1\/5, -2.\nAnswer: -2.31, -2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 1667 - 1862. Sort -2, 1, w.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2 + 4*h. Let n(v) = 5*v + 18. Suppose 6*y = 34 - 28. Let q(i) = i + 6. Let z(u) = y*n(u) - 3*q(u). Determine m(z(x)).\nAnswer: -28*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 5, u: 1, v: 4, h: 3}. What is prob of sequence hr?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8888?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2449163, -2449202, -2449267, -2449358?\n\"Answer: -13*q**2 - 2449150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmzgemtl. Give prob of sequence ze.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10 - 10 - 8*x + 2*x**2 + 28 + 4*x**3 - 14. Let o(w) = w**2 - 1. Let d(q) = -k(q) + 6*o(q). Determine b, given that d(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163742 is divided by 16373.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucuf when four letters picked without replacement from {h: 1, t: 1, f: 7, u: 3, c: 1}?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113*l*w + 866818722*l - 760473*w wrt w.\nAnswer: 113*l - 760473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (49\/(-14))\/(10\/(-20)) - -40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/6*(-160602)\/28826)\/(-2*1\/(-3))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0*m**3 - 5*m**2 + 2*m + 5*m**3 - m**3 + 1 - 3*m**3. Let h = -1557 - -1561. What is s(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3 - 5. Suppose w*r = 5*r - 9. Solve 4*g + 5 = r*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -2 - 6) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*c - 275, 0*c - 5*c - 55 = -t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1217449176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100111000 - -10101000010101?\nAnswer: 1101011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.107014 - -10.718286. What is y rounded to one decimal place?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*d + 715 - 190 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/684 and 89\/79838.\nAnswer: 1437084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427265561 and 3963?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1169520 and -47\/62861700.\nAnswer: 251446800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 727 + -591. Is p a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (1 + 0))*1. Let b = o - -5. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3758559815.\nAnswer: 5, 31, 24248773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4567691, -9135384, -13703077, -18270770, -22838463?\nAnswer: -27406156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) - ((1*sqrt(1500) - sqrt(1500)) + sqrt(1500)))\/(-1*-1*sqrt(3)) - ((sqrt(40)\/(-2*sqrt(4)) - sqrt(10))\/(sqrt(2)*1*4))**2.\nAnswer: -45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - 396\/14. Let g be p\/(-8) + (-1)\/(-2). Let s be (-60)\/(-24)*(-4)\/(-5). Solve h = -g*f + 21, -2*f + 14 = s*h - f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 5*d**2 - 14*d**2)*(0*d - 9*d + 0*d)*(-2 + d + 2).\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + x**4 + x**4 + (3*x**2 - 3*x**2 - 2*x**2)*(x - x - 2*x**2).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47218 - -47260. Suppose -121 = g - 371. What is the remainder when g is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 12. Let k be t(-6). Let b = k + -6. Suppose -n + 2*z - 24 = -5*n, -z + 4 = 0. Sort b, n, -4 in decreasing order.\nAnswer: n, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -234, -429, -786, -1305, -1986?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 42. Suppose 1\/3 + v**2 - v - 1\/3*v**u = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -474, -471, -468, -465?\n\"Answer: 3*x - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2 + -2)\/2)\/(-1). Let d = 2 + t. Suppose -3*s + 0*r + 36 = -4*r, 2*r = 0. Solve -3*v = d*x - s, -v = v - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 4, y: 1, b: 2}. Give prob of picking 2 u, 1 g, and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81071754, -81071752, -81071750, -81071748, -81071746, -81071744?\nAnswer: -81071742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/a**2))**(-9\/2)*a**(-6\/13)\/a**(1\/9) assuming a is positive.\nAnswer: a**(-67\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23176679.\nAnswer: 859, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, -60, -90?\n\"Answer: -30*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*m - 14 = 0, 6*l + 3*m - 15 = 3*l. Find f, given that -523*f + 529*f - l + 1 + 2*f**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3400001 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(475)*-3)**2.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/7)\/1)\/(46\/(-46)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-10)*a)\/(a\/a**(-2\/7)))**(-6\/7)\/((a\/(a\/(a*a\/(a*(a*a**(-2))\/a))))**(-27))**(-9\/2) assuming a is positive.\nAnswer: a**(-34857\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8675913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 - 1.43. Let o = -1.8 - p. Let h = -24 - -19. Which is the second biggest value? (a) 2 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/19? (a) 4 (b) -26 (c) 2 (d) -1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11328, 82246, 272336, 641184, 1248376, 2153498, 3416136, 5095876?\nAnswer: 7252304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 + 43*f**2 - 925*f - 130. What is h(13)?\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*w + 110*w - 15200 = 234*w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*d**2 - 4\/7 - 2\/7*d = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3860.\nAnswer: -3\/3860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-6))\/(1\/5). Suppose -4*y + x*n + 55 = 0, -2*y + 6*y - 105 = -5*n. Suppose -y + 0 = -4*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3*w**4\/4 + 11*w**3\/3 + w**2 + 2*w - 146. Let d be p(-3). Solve l + 4*i = -d - 8, 0 = 2*l - 3*i - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -3*p**2\/2 - 3. Let c(o) = 4*o. Give c(w(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/20 - (9 + -2)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -39548?\nAnswer: 39564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:36 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**2 + 4*n - 6. Let v(y) = -2*y**2 - 2*y + 2. Let z(r) = 3*u(r) + 8*v(r). What is the second derivative of z(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45827316 and 94200594.\nAnswer: 1695610692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1735008 divided by -1364.\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 4*b**2 - 8*b - 3. Suppose 265 = -841*p + 788*p. What is i(p)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/36 and -145\/14184.\nAnswer: 14184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60505 + -4266?\nAnswer: 53206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10 = -2*m, -4*f + 6 = 37*m - 35*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 5:31 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from kffffkffkffffkffkk?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 601 and 2204665729.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(12\/(-8)))\/(3\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/511 (c) -168 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-45)\/6 - -5). Suppose -2*c = 5*b + 2*c - 486, 3*b + d*c - 289 = 0. Let u(t) = 1 + 52*t + 47*t - b*t - 6. Give u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.8 - -20. Let m = 2.2 - y. Let t = -2.5 - -3. Which is the third smallest value? (a) t (b) m (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-228)\/133)\/(((-10)\/84)\/5). What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 248, 248, 246, 242, 236?\n\"Answer: -x**2 + 3*x + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:54 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21887.14+-96\nAnswer: 21791.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, -3, -11, -19, -27, -35?\n\"Answer: -8*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 2*q**2 + 5*q - 13. Let f(j) = -3*j**2 + 2*j**3 - 7*j + 7*j**3 - 6*j**3 + 20. Let l(o) = 5*f(o) + 7*t(o). Give l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 0*a + 49 + 5*a)*(-4 + 1 + 1)*(4 - 12 - 7).\nAnswer: 150*a + 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3648 = -171*k + 10000 + 3395 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -i - 5*q, -3*i - 3*q = 8 - 2. Which is the closest to i? (a) 5 (b) 0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5653012 to the nearest integer?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 0 + 0*i**2 + i + 1\/6*i**3. Let w(g) = -g + 6*g - 5*g + 22*g**2. What is j(w(k))?\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 4. Suppose 3 = j*g - 12. Suppose g*s = s + 4822. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222344221 (base 5) to base 7.\nAnswer: 11224413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:44 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 12. Let f be 5\/2 - 2\/(-4). Suppose 6 = -2*m + f*m. Suppose -4*c - 2*h + m = 0, 6 - 18 = -5*c - 4*h. Calculate x(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -167851.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -b + 5, 3*b - 78*o + 82*o - 17 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6539, 13078, 19617, 26156, 32695?\nAnswer: 39234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-33 + 2)) + -54?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 14 - ((-2 - 0) + -16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 4, b: 1, a: 1, o: 1}. Give prob of sequence qan.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 + 7502*t + 7500 = 0.\nAnswer: -3750, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 4542.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7465.471l in millilitres?\nAnswer: 7465471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f**3 - 103413*f**4 + 0*f**2 - 31*f**3 + 11 + 2*f**2 + 103414*f**4 + 2*f to y*f**2 + a + l*f**4 + q*f**3 + z*f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j - 2. Suppose 5*s = 9 + 11. Let y(p) = -p**3 + 6*p**2 - 5*p. What is the remainder when a(2) is divided by y(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21 + 27 + (-1 - 2*-2). Does 17 divide ((-2865)\/7)\/(-3) + v\/(-119)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1860*k**2 + 1366*k**3 + 1860*k**2 - 39363 + 39363.\nAnswer: 1366*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = 2*k. Let q = -10 - -20. Let g = -5 + q. What is the smallest value in 2, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 98\/((-140)\/10) + 11 + -3. Sort 2, n, 281 in increasing order.\nAnswer: n, 2, 281","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 24*g + 3078\/7.\nAnswer: 2*(g + 27)*(g + 57)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:20 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 986.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.077? (a) 7 (b) 0.3 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4240, -12, -5 in descending order.\nAnswer: 4240, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*c = -0*s - 10, 0 = 2*c - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228*k**3*q + k**2*q - 5*k*q - 9*k wrt k?\nAnswer: -1368*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*n*r**3*w + 3*n*r**2*w + 7671*n*r - 1555*n*w - 138*n wrt r.\nAnswer: 66*n*r**2*w + 6*n*r*w + 7671*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 34*v = -87*v + 1168 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 3*v)*(6 - 21 - 1).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - n - 30 = 0, 3*c + n = 8*c - 166. Solve -c = 9*r - 70 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/956 and 47\/286.\nAnswer: 136708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (5 - -2)) + (8 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 102?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**7\/147 + 2*m**6\/105 - m**4\/21 - m**3\/21 + 4*m. Factor q(s).\nAnswer: 2*s*(s - 1)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -216007.7 - -216008. Let v = -7.7 - -8. Let d = v - 0.1. What is the nearest to 3 in -1\/5, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 58.028. Let q = 2.972 + y. Let t = 244\/5 + -49. What is the third biggest value in t, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36944642 - 2385874. Let y = t - -56690516. What is y rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 46 + 48. Suppose -u*d = -4*d + 234. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*i - 7 = i, -3*q + i - 10 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -52, 0.3.\nAnswer: -52, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)\/(9\/(-999)). Is w at most as big as -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1546*i**2 + 3 - 9*i + 1219*i**2 - 2157*i**2 + 10*i.\nAnswer: -2484*i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 17 + -49 + 24 + 13 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, 4483942 in descending order.\nAnswer: 4483942, 14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18896, 38123, 57350, 76577, 95804, 115031?\n\"Answer: 19227*t - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**8\/3920 - z**7\/490 + z**6\/210 - z**3\/3 + 5*z + 13. Let d(g) be the second derivative of b(g). Factor d(k).\nAnswer: 3*k**2*(k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 l when three letters picked without replacement from olollol.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**3 + 4138*o**2 + 22250*o - 6958. What is t(695)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/4 + 2 - 3 - -3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36347.5545 to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328 - 329 = -73*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66359 is divided by 237?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3978421*c**2 - 430*c + 3758 wrt c?\nAnswer: -7956842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**2 + 3*v - 3*v)*(0*v - 4*v + 5*v) + 1 - 65*v**3 - 3638*v + 43*v**3 + 3647*v to the form w*v**2 + f + p*v**3 + j*v and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**4 + 0*r**4 + 8*r**4 + (r**2 + 0 + 0)*(3 - 3 + r**2) to v + h*r**4 + s*r**3 + q*r**2 + y*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.76 + -32. Let s = -37.04 - k. Let i = s + 37. What is the nearest to -1\/4 in i, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237084 divided by -276?\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6733 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 14*i = 9. Suppose 0 = h - g - 26, 56 = i*h + 2*g - 32. What is the greatest common divisor of h and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -0.5. Let q = 8.3 + -7.8. Let g = -8 + 11. What is the nearest to r in q, g, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 37. Let t be s(12). Let h be (7\/126)\/(t\/(-1220)). Let m = h + 68. Is 0 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m + 11*m + 12*m - 37*m + 5*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 33. Let b(v) = 2*v**2 - 75. What is s(b(w))?\nAnswer: 4*w**4 - 300*w**2 + 5592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o = 6. What are the prime factors of (-21)\/(-2) - 3\/o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2 - 2. Suppose 3 = -4*w - 5*z - 5, 5*z = 0. Which is the biggest value? (a) w (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*800422\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 - 4*c**2 - 2*c**2 + (-29*c**2 - 6*c**2 - 4*c**2)*(2 - 2 - 1) in the form b*c + l + y*c**2 and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.95 - 14.55. Sort 1\/5, 1.7, 5, d, 7 in decreasing order.\nAnswer: 7, 5, 1.7, d, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + (sqrt(176))**2 - 1*-2*sqrt(11)) + -2*(3*sqrt(1584) + sqrt(1584))) + 3.\nAnswer: -701 + 376*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2458\/(-7))\/((-194)\/2716)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1277*k**2. Let j(r) = 40*r. Give j(p(d)).\nAnswer: 51080*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744 and 20030664?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 2*j**2 + 53 - 28.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 31 = -v, q - 99 = -61*v + 65*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/(-21)*(-18921)\/1309?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 136, 336, 626, 1012?\n\"Answer: l**3 + 36*l**2 + l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2 - 43*y + 25. Let x be v(-8). Which is the third smallest value? (a) 2\/5 (b) -1 (c) 26 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -13*c - 427. Let f be i(-33). What is the third derivative of 155*b**5 - 217*b**2 + 2*b**6 + 99*b**f - 140*b**2 wrt b?\nAnswer: 240*b**3 + 9300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 0*n - 41*n**3 + 9*n + 48*n**3 + 33*n**2. Find the first derivative of d(o) wrt o.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 27984616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*t + 385*t - 12 = -y, t - 2*y + 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -29. Let a = u + -14. Suppose 0 = 3*i + 6*i - 54. What is the remainder when a is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 227 = -d, 0 = 3*d - o - 3*o - 725. List the prime factors of d.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5*(-12 + 4695)\/(-21) is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50073 is divided by 10013?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -2*k**3\/3 - 3*k**2 - 4*k. Differentiate m(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/120 + j**5\/12 - j**4\/4 - 121*j**2. Determine b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 66 + 468 + 3*c + 0*c.\nAnswer: 2*c + 534","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 6066 - 6066.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*z + 49. Suppose 4 - 53 = -z*k. Suppose 0 = 12*r - k*r - 10. Solve -r = -2*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 62 = -2 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 2. Let a be i(-2). What is the common denominator of -91\/16 and a - 1 - (-43)\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291 - 291 - 7*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/3)*(f\/(((f\/f**(-1\/4))\/f*f*f*f*f*f)\/f))\/f*f\/(f\/((f**(-9)\/f)\/f))*f**(-9) assuming f is positive.\nAnswer: f**(-295\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 347*r - 9 - 36 - 359*r. Let x be n(-5). Solve -9*w + 4*w = -x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61\/(-10980)*-108)\/((-6)\/470).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3677.\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 10. Let t be c(14). Let b be (3 + (-22 - -5))\/((-1)\/t). Suppose -b = -p + 14. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**2 - 4*f + 10. Let y(g) = g**2 - g + 2. Let i(c) = -x(c) + 5*y(c). Determine i(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2804\/7*l + 982802\/7 + 2\/7*l**2 = 0. What is l?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -7. Let w = -419 + 421.6. Which is the third biggest value? (a) w (b) j (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169484 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-2)*30\/(-25). Sort u, -4, 2 in descending order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-28)\/16*44\/(-539)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57044 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: b\"What is the nth term of -118, 60, 532, 1442, 2934, 5152, 8240?\n\"Answer: 24*n**3 + 3*n**2 + n - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 16*t + 21. Let p be y(9). Suppose 5*q = -2*g + 6*g + 43000015, -5*q = -p*g - 32250015. Round g to the nearest 100000.\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1297736.5 plus 3829096?\nAnswer: 2531359.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 - 2*a + 14. Suppose -6*o + 3*o = 1539. What is the remainder when ((-3)\/9)\/(3\/o) is divided by j(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8838 - 8839. What is the second biggest value in -0.12, 3\/2, h, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 22.38. Let z = -70837 - -70836.61977. Let m = x + z. Round m to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 5\/5*-83. Let m = -85 + s. Solve m = u + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2463.144 rounded to the nearest 10?\nAnswer: -2460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:12 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680 - 228 - 212 + 2718 - c**2 - 641.\nAnswer: -c**2 + 957","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -45. Suppose -17 = -7*k + n. What are the prime factors of (-2)\/k*320\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4373 + -65599\/15. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 3795320*d\/9 + 1800556737800\/9.\nAnswer: 2*(d + 948830)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + 2140349739652.\nAnswer: 2140349739652.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j**3 - 13*j**2 - 4*j + 7. Let z(h) be the second derivative of h**5\/4 + h**4\/2 + h**3\/3 - 3*h**2\/2 + h + 40. What is 3*m(f) + 7*z(f)?\nAnswer: 2*f**3 + 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4485 is divided by 1355?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 88, -3\/4, -1\/2, -1\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 11*p + 115. Give z(-16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -162.924+-0.02\nAnswer: -162.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721590659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 561.49 + 5.\nAnswer: 566.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*a - 70*a - 19*a)*((1 - 6 - 1)*(-16*a + 131 - 131) - 3*a + a + 0*a + (1 - 1 + 2)*(0*a + 0*a - a) + 3*a + 0*a - 2*a) to m*a**2 + w*a + l and give m.\nAnswer: -4836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 314?\nAnswer: 10676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 855019561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19416420, 19416412, 19416404, 19416396, 19416388, 19416380?\n\"Answer: -8*f + 19416428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 32, 72, 138, 236?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 119272130*-0.07\nAnswer: -8349049.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s. Let m(b) = b**2 - 8*b + 3. Let v be m(8). Let t(o) = 2*o - v*o + 3*o + o. Calculate t(u(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 836922597 and 32844.\nAnswer: 8211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43786*y**3 + 0*y**2 - 43813*y**3 + 0*y**2.\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {d: 2, n: 1, b: 5, u: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2205 = -37*j - 2131. Solve -j = -22*r + 20*r - 5*h, 5*r + 5*h = -10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/75 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5151 - -4?\nAnswer: -5143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2. Let f(u) = -u**2 + 1. Let h(o) = 33*o**2 - 11. Let b(g) = -55*f(g) - 5*h(g). Calculate l(b(m)).\nAnswer: -24200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.16 + 10. Round g to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6638 + 8496. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/6*2\/3. Is 19 a factor of 76*(1 - m\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 4*g**5\/15 + g**4\/3 + g**3\/9 - 1. Let m(a) = 0. What is a?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5 = -5, -6*n = -4*n - 4*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 15. Solve 3*i - d = -4*g + g, i = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = n + 153, 0 = -4*o - 14*n + 17*n + 39 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 16*q + 20. Let j be u(-9). Suppose -2*y = -3*x - 846, -3*x = -j*y - 4*x + 830. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 220*n - 11901. Let k be h(97). What is the greatest common divisor of k and 14970?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -5*j, -2*o = -4*j - 0*j - 22. Differentiate 0*t - o - 2*t - 15 + t wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 5*k**2 + 8*k + 10. Let r be l(-3). Suppose 0 = -5*s + 4 + 6. Sort -26, s, r in decreasing order.\nAnswer: r, s, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -34. Let c = h - -3. What is the second derivative of 5*g + g - 5*g - c*g**2 + g wrt g?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.44126 to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 25*l + 179. What is r(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5747*s - 1145. Let m(y) = 2893*y - 574. Let n(z) = -2*a(z) + 5*m(z). Differentiate n(j) wrt j.\nAnswer: 2971","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -13*u - 28. Let f(b) be the third derivative of -b**6\/120 - b**5\/20 - b**4\/12 - b**3\/3 - 9*b**2. Let q be f(u). Sort q, -7, -2 in ascending order.\nAnswer: -7, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001016263 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -63, -76, -89, -102?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*n**2 + 20*n**2 - 19*n**2 + (-2*n + n + 2*n)*(0*n - 2*n - n) + n**2 - 5*n**2 + 3*n**2 + (5*n + 0*n - n)*(1 + 3 - 1)*(-2*n + 5*n - n).\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + x**5 - 3*x**5 + (3*x + 0*x - 5*x)*(-2*x**4 + 5*x**4 - x**4) + 10 - 74 - 38013*x**5 + 9 + 0 + 55.\nAnswer: -38019*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**3 + p**2 - p**2)*(23 - 359 - 50).\nAnswer: -2702*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1429\/70 or 19?\nAnswer: 1429\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 - k**2 + 12*k - 4. Let f(x) = -x**2 + x + 2. Let q(p) = 2*f(p) - j(p). What are the prime factors of q(-5)?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 67\/(-5) - ((-11 - 4) + 7). Is 25 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {p: 1, k: 7, s: 6, b: 2, t: 4}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/924 and 107\/168?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 + -12) - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(76)\/sqrt(4)*5 + sqrt(19) + -6*sqrt(38)\/sqrt(2) + 1.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 5 - (8 - (-10 - -6)) - -5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339620.\nAnswer: 2, 5, 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 3:58 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/17)\/(w*w**14))\/((w\/((w**(-9)\/w)\/w))\/w*w\/w**(1\/6)) assuming w is positive.\nAnswer: w**(-2725\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**3*x**5 + 4*m**3*x + 3574057*x**3 + 3237092*x**2 wrt x.\nAnswer: -360*m**3*x**2 + 21444342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/228896 and -43\/22392.\nAnswer: 2060064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/31, 3\/4279, -3, 5 in ascending order.\nAnswer: -3, -1, 3\/4279, 2\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.1853504 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 161744568 to the power of 1\/2, to the nearest integer?\nAnswer: 12718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Let i(z) = -3*z - 4. Let a be i(-3). Suppose r = a - w. Which is greater: 5 or r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3044919541?\nAnswer: 31, 98223211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 104865736 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.92 and 0.081?\nAnswer: 2.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + x - 1. Let s be n(1). Let w = s + -1. Solve -9 = -3*r - w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:18 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 208*t + 1. Let k be n(1). Let o = -136 + k. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6149 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262290 is divided by 47?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*m - 16, 153*c - 156*c + 5 = 2*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*sqrt(605)*-2*4 - (2*sqrt(605) + sqrt(605))*4*5)*4)**2.\nAnswer: 12545281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -421, -427, -439, -457, -481, -511?\n\"Answer: -3*t**2 + 3*t - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -763.3, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + u - 2)*(-1 + 1 + 1) - 1 + 1 - 2*u - 2268*u + 10443 - 10443)*(-6 + 4 + 3) in the form p + i*u and give i.\nAnswer: -2269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -19. Suppose v*t - 22 = 22. Let j = -4 + t. Calculate the smallest common multiple of j and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 14) in base 12?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from eeuapeapuxeueuauee?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204015\/26 - -7844. Calculate the common denominator of 83\/2 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3242155 (base 7) to base 5\nAnswer: -100200230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4566024, 4566022, 4566018, 4566012?\n\"Answer: -h**2 + h + 4566024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 42 - 33 = -5*d, 0 = 131*t - 132*t - 5*d - 25 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -8.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8276 - -11?\nAnswer: 6.1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1007, -863, -719, -575, -431?\n\"Answer: 144*c - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51166?\nAnswer: 2, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 54*i - 546. Let j be l(-16). What is the highest common divisor of j and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6 + 2 = -x, 5*x - 20 = -5*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226.41 - 228. Let z = m - -1.09. Which is the third biggest value? (a) -4 (b) z (c) -0.02 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 - 5*z + 2. Give o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3452\/7 + -494. What is the third biggest value in -0.1, -0.3, v, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, -4, -9867, 196?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 78*t - 81*t = 1, -44*t - 8 = 3*c - 46*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.45097 kilometers to nanometers.\nAnswer: 53450970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-48)\/(-8) - (4 + -1). Which is smaller: 235 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 10*p = 152. Suppose -w + 2*i = -55, 2*w + 0*i + 5*i - 92 = 0. Let s = p - w. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 882 - 624. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 797*o - 803*o - 3.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2. Let y(s) be the third derivative of 1\/24*s**4 + 6*s**2 + 0*s + 0*s**3 + 0. Determine y(v(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - 38\/(-6). Suppose -39 = 4*q - 3*k, 3*q + 22 = 3*k - 8*k. Let s = -7 - q. Solve 0 = -s*o + i + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/120 + z**5\/60 - z**4\/3 + z**3\/3 + 7*z**2. Let w be h(3). What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mnnmmmmnnnnnn.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - 0)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/51 and (101\/(-162))\/(18\/(-27)) - (-1 - -3).\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12926 - -774. What is o rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33 + -0.03. Let l = -273 + 272.89. Let v be (-2)\/((-40)\/4)*(-5 + 3). What is the nearest to -1 in x, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -48, -55, -44, -9, 56, 157, 300?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udpuududuupduuup. Give prob of sequence du.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -21031?\nAnswer: 21041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (170 + -65)*(-6)\/(-5). Put w, -2, 5 in descending order.\nAnswer: w, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*g + 10 + 48*g - 19*g)*(-g + g + 2*g) + (-g - 2 + 2)*(-1 + 4*g + 1).\nAnswer: -8*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28*1329701\nAnswer: 37231628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 5, 1\/7, 14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 24.3 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 571122 = 589878. What is x rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1142, 2804, 4976, 7658, 10850, 14552, 18764?\n\"Answer: 255*f**2 + 897*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**4\/3 - 3*q**2\/2 + 8*q. Let o(w) = -3*w**2 + 2. What is -2*j(i) - 3*o(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 674394069 - -2.\nAnswer: 674394071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97251 divided by 658.\nAnswer: -13893\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 89 = 2*h. Let r be (10\/h + 0)\/(7\/14). Suppose 0 = r*w - 14 + 4. What is the nearest to 0 in 0.1, w, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.074 (b) 13.1 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*a - 3*l, 0 = 5*a - 4*l - 34 - 31. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16773 is divided by 8138.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-9)\/108 - (0 + 105\/10)*2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/5, 11, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**4\/4 - 7*c**3\/6 + c**2 - 8*c. What are the prime factors of k(5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4782 + 4782.019746. Round n to 4 decimal places.\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7718375 is divided by 2397.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1125 (base 7) to base 4\nAnswer: -12123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -292 - 33*u + 292 - 28*u - 39*u - u + (-4 + 2 + 1)*(5*u + 2*u - 4*u).\nAnswer: -104*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 3*v + 836 = 0. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2401 - -5.2401. Which is the second biggest value? (a) -0.3 (b) -2 (c) x (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - n + 4 = -0*n, -5*v - 8 = -2*n. Suppose v = u + 3*u - 8. Let j(x) = -x**3 + 6*x**2 - 3*x. Give j(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 9. Calculate the smallest common multiple of 6 and v(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 - 11*p**4\/12 + 5*p**3\/3 + 5*p**2\/2 + 3*p. Let i be k(10). Put 2, -5, i in decreasing order.\nAnswer: i, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1485 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -211660 plus 36118140?\nAnswer: 35906480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.7 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1709, 1719, 1745, 1793, 1869, 1979, 2129?\nAnswer: 2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 244\/80 + -2 + -1. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11054.46 - -10944. Let r = j + 109. What is r rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y - 24 = 0. Let l(i) = 213*i**2 + 4048*i + 19. Let g be l(-19). Solve y*o + 16 + 2 = g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81321.34 minutes in microseconds?\nAnswer: 4879280400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.81 - 0.31. Let u = -2\/677 - -687\/3385. Which is the third smallest value? (a) 3 (b) u (c) i (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 355068.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.1 + -7.1. Let x(t) = t**2 - 21*t - 2. Let i be x(21). Let v be 24\/4*(-4)\/(-8). Which is the closest to 5\/2? (a) i (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)*i**(3\/7)*(i\/(i**1*i))**(1\/68))\/((i*i*i\/i**5*i*(i*(i*(i\/i**(-2\/5))\/i*i)\/i)\/i)\/(i**(-5)*i**3)) assuming i is positive.\nAnswer: i**(-1471\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3575.622 and -1349529.\nAnswer: -1353104.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -475681 != 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.42 (b) 38 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1)*1*-2. Suppose 4*t = -3*b + d*b - 13, 3*t + 2*b + 6 = 0. Let x = 9 + t. Let n(o) = 2*o - 6. What is n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*k, -5*k + 2 = -2*h + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3058 - 3?\nAnswer: 3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -280.7 - -280.7100497. Round t to four decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4*i**2 + 20549488*h**2*i**2 + 2*h*i**2 - 3*h*i + 249*h + i**2 - 8*i + 86 wrt h?\nAnswer: 12*h**2*i**2 + 41098976*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 49695.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**3*z + 55*n**3 - 410*n**2*z - 2*n**2 + 8*n*z + 24413*n + 2*z + 14 wrt n?\nAnswer: 18*n*z + 330*n - 820*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-10)\/(17\/9 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 3, -59, -132, -10 in increasing order.\nAnswer: -132, -59, -10, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*m - 19 - 1, 4*m + h - 16 = 0. Solve 5 = -u + 3*g, 4*u - 3*g - g = m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53\/58 - 2143\/638. What is the common denominator of d and 126\/(-52) + 2\/4?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 19. Let v be n(7). Let d = v + -21. What is the highest common factor of 30 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 4) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 2*i**5\/5 + 4*i - 2. Differentiate m(g) wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0.14513301.\nAnswer: 1.85486699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 32*n**2 - 33*n - 48. Let h be u(31). Let m = h + 115. Solve -3*k + 5*g - 26 = -4*k, -4*g = m*k - 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.211 + 36.9. Let m = 0.389 - r. Which is the second smallest value? (a) -5 (b) 1\/4 (c) 19 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 10*b**2 + 4*b**4 + 0*b**3 - 16*b**2 - b**4 - 3*b**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, 112, 0.5, -0.5, -481?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1028131767 less than 0.436?\nAnswer: 0.3331868233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.03, 2\/65, 1?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 4*y + 4. Let v(u) = -8*u**3 + 15*u + 15. Calculate 22*j(f) - 6*v(f).\nAnswer: 4*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**4 + 359125*m**3 - 13*m + 172946042.\nAnswer: 12*m**3 + 1077375*m**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331071777.\nAnswer: 3, 179, 205507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 5*y**2 + 8*y + 8. Let b(c) = 2*c + 14. Let z(a) = -a - 6. Let p be z(4). Let w be b(p). Calculate k(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -28*w - 1034. Give y(-40).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 450871 - 450659 + 901324.\nAnswer: -g - 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4, -3*x + 3*u = -2 - 64. Put 5, x, 33, -4 in decreasing order.\nAnswer: 33, x, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1539) + -1 + 0 + (-2*-1*sqrt(76))\/sqrt(4)*1.\nAnswer: -2 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvmv when four letters picked without replacement from mmmmvvmvmmmm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-14555)\/13530 - (-78)\/36)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:01 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2 - -2 - (1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 188?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11200 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3537.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -546. Is 43 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*r = -16822 + 20953 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:05 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/3, -2, -74, 3, -5\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-864)\/(-124) - (-895)\/27745 - (-1536)\/(-308).\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89\/4 + 635\/28. What is the closest to 2\/9 in i, 1\/6, 4, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005884428004 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/3 + 44*c + 5. Let h(l) = -268*l**2. Calculate h(q(y)).\nAnswer: -1072*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.0385 microseconds in seconds?\nAnswer: 0.0001950385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {m: 4, l: 1, t: 2, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 22 = -16. Let i be ((-2)\/(-1))\/((-1)\/v). Solve i*y = -k + y + 3, -5 = -3*k - 5*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 97*i**3 - 46*i**3 + 0*i**2 - 5 + i**2 - 52*i**3 in the form c*i + d*i**3 + y + b*i**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 18596 + 18632 = 0. Let v(g) be the second derivative of 3\/8*g**4 + 0*g**q + g**3 - 3\/40*g**5 + 0 + 11*g. Solve v(i) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-42)\/14*1\/18)\/((-35)\/(-7))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1684780 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 8*t - 15. Let x be z(5). Suppose x = -3*b - 5*p - 6091 + 21152, 2*b - 3*p = 10066. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -673960.\nAnswer: -1\/134792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1120 + -634. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1328 - 1291. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001089523 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10118 rounded to the nearest 100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -83, -177, -319, -515?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18757*o + 6253*o + 6254*o + 6250*o + 21*o**3 - 23*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 1. Let n be 63\/6 + -3 - (-3)\/(-2). Give z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2340831 and 669.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121 a factor of 511437058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 2267.\nAnswer: -8\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**2\/2 + 11. Let n(q) = 12*q. Give d(n(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808710149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbg when three letters picked without replacement from {s: 3, b: 2, g: 4, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 77*l + 546. Give a(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -190*g**2 + g + 4. Give n(-1).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16148, 56260, 123114, 216710?\nAnswer: 337048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (8 - 1 - (2 + 12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, h: 3, m: 2}. Give prob of sequence kk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 85*r - 614. Calculate f(77).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -6. Let l(r) = -2*r. Let d be l(x). Let q be (-2)\/4 - (-20)\/d. Solve 0 = -k - 3*f + 10, 0 = q*k - 4*f + 12 + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -t + 11, -6*v = -v - 3*t - 1. Suppose -3*j + m = 18, 4*m = -j - m + 10. Suppose 2 - 2 = 2*u. Put -2, v, u, j in ascending order.\nAnswer: j, -2, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -19*r. Let c(p) = -14145200*p. What is l(c(z))?\nAnswer: 268758800*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -61. Let k = 33 + -14. Calculate the greatest common factor of m and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - d + 2. Suppose 0 = -2*o + 4 - 2. Let t be u(o). Solve -2*a + 6 = -2*h, -h - 2*a = -t*a + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 + -1 - (-1 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 2 - (-24 + 4 + (-2 - 11))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2676\/19 - -34826\/247. Suppose 2\/13*v**2 + 0*v + 0 - b*v**4 + 0*v**3 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.028, -4\/5, 4\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 + 1250*g**2 + 2515*g + 1260 = 0.\nAnswer: -1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 3 - 1)*147\/2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 8 = -4*t, -14 = -5*t + 2*j + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*h, -8*r - 16 = -11*r - 43*h + 47*h for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 10, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.672 less than 0.067?\nAnswer: -21.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-3))\/(6 + (-19)\/3). Solve 2*l + b = 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3266 (base 7) in base 12?\nAnswer: -81b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1515 = 2*m + 22*m, 5*q - 4*m + 1866 = 1599 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 34*h**3 - 4*h**2 + 8*h + 18. Let o(k) = -12*k**3 + k**2 - 3*k - 6. Let z(j) = 14*o(j) + 5*q(j). Factor z(l).\nAnswer: 2*(l - 3)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 + -4)\/(-36)*(5 + -2). What is the nearest to 0.1 in 1\/7, l, 2, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -955615 - -6656862\/7. Let a = -4627 - s. Find the common denominator of -47\/2 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/54*98\/(-615)*-4. Let k = f - -2\/205. What is the nearest to k in 1, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -362, -860, -1810, -3362, -5666?\nAnswer: -8872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 475 + -211. Is 3\/(4\/(z\/9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41316649 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.055 and -5518925.\nAnswer: -5518924.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - (-408)\/56. Suppose 46 = -l*a + 165. What is the remainder when 67 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + -79. Does 26 divide s\/(-7) + 4\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Let p = 312.9 - 313. What is the closest to 0 in p, k, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/492 and -53\/369.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/30*8\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 5*q = 15, 0 = 2*c - 4*q + 16. Solve -2*t - c*p = -4*p - 2, t - 3*p = 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -119*x + 27 + 437. Factor -1\/2*b**2 - x*b - 8.\nAnswer: -(b + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11861 - 3954 + 8*b**2 + 4*b - 4*b - 3959 - 3948.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q + q**2)*(0*q + 2*q - 4*q + (-2 + 4 - 1)*(-q - 3*q + 3*q))*(-3 + 3 - 2*q).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxxxxxfxfxx. Give prob of picking 3 f.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = t + 2. Let q(z) = 3*z**2 + 2*z. What is the remainder when t is divided by q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/75002813 or -1?\nAnswer: -1\/75002813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c + 1. Let l be z(-1). Suppose -3*r - 1 - 6 = -4*a, 20 = l*a. Suppose -4*j + y = 4, r*j + 0*y + 12 = 3*y. Solve j*q + q = -4, 4 = 3*b - 4*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 410984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25269447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let r(j) be the third derivative of -j**5\/15 - 2*j**2. Calculate t(r(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7633124 plus 2?\nAnswer: 7633126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 677508763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(7)*4)\/(sqrt(14)\/(sqrt(7)*4)))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 7, 3, -22, 2\/1707 in increasing order.\nAnswer: -57, -22, 2\/1707, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8246\/(-1519))\/(2\/(-7))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**8\/b*b*b\/b**(-4\/3)*b**16\/(b**(-6)\/b) assuming b is positive.\nAnswer: b**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*c**2 - 496160*c + 496160*c.\nAnswer: 197*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-21)*c)*c)\/c*c*c\/c**(-1\/9) assuming c is positive.\nAnswer: c**(208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19401*p - 3. Let d be y(-3). What is d rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-15)*(-7047)\/87.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/3959225 and 31\/45?\nAnswer: 35633025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**2 - l. Give a(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, -8, 0 in ascending order.\nAnswer: -10, -8, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - -0.4. Let v = 2 - s. Let z = 1.5 - v. Which is the nearest to -0.1? (a) 2 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, z: 3, a: 2, s: 1, b: 3}. What is prob of picking 2 a and 1 z?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*g + 24, 100*g - 3*k - 10 = 104*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1918, -1\/9 in decreasing order.\nAnswer: 5, -1\/9, -1918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1938506380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and -5.33.\nAnswer: 0.8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-3) - (-4)\/(-6). Let x be (3 + (-87)\/21)\/((-48)\/168). Sort x, -4, l in descending order.\nAnswer: x, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/9 in -4, 5\/3, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77514*r - 3339 = 77143*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*o + 67 = h, -2*h = 3*o - 33. Suppose -5*a - 4 = 3*k - h, 5*a - 30 = -5*k. What is the least common multiple of 30 and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t**2 - 4*t**2 + 0*t**2)*(-2 + 1 - 1) + (4 - 4 - 6)*(-3*t**2 + 6*t**2 - t**2) + 2*t**2 + t**2 - t**2 to x*t + f + z*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 21. Let f be t(-14). Let h be ((-14)\/f)\/(((-10)\/(-21))\/(-5)). Let z be (-1)\/5 + (-156)\/(-30). Solve -h = z*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -12.125. Let x = 1.955 - g. Let q = x - 0.08. Which is the closest to q? (a) -2 (b) -2\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 167? (a) -0.1 (b) -4 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 - 16 = 2*l, 2*j = 2*l - 6. Let q = 184\/3 - 697\/12. Find the common denominator of q and ((-116)\/(-30))\/((30\/25)\/j).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*p**2 + 2657*p**2 - 662*p**2 - 670*p**2 - 661*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*h, -3*h + 1331 + 29689 = 6*q. What are the prime factors of q?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 1\/(-3) - 342\/54. Let g(w) = w + 6. Calculate g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4464238933 to the power of 1\/2, to the nearest integer?\nAnswer: 66815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by 28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.02 (c) 35.1 (d) -46.6 (e) 3\/7 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/9 and 25\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857810.8 tonnes to milligrams.\nAnswer: 857810800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -144*u + 23. Give g(3).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 159*d - 5219. Determine w(101).\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80.23 + -80. Let y = r - 0.229175. Round y to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2 - 33*i - 11. Let y(b) = -5*b**2 - 18*b - 6. Let h(u) = -6*g(u) + 11*y(u). Let c(q) = -2 - 16 + 2 + 19*q - 17*q. Determine h(c(r)).\nAnswer: -4*r**2 + 64*r - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.5, 7, -321, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 10:55 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 3*a**4\/22 - 26*a**3\/11 - 87*a**2\/11 - 90*a\/11 + 41. Find s such that p(s) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v**2 + 25*v**2 - 3*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364652 is divided by 573?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11411231, 11411237, 11411243, 11411249?\n\"Answer: 6*v + 11411225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 29291, -0.1, -31, 10?\nAnswer: 29291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*t - 4\/5 - 4\/5*t**2.\nAnswer: -4*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4\/19 - 70250*u**3\/19 - 42888450*u**2 - 3030590624750*u\/19 + 1055555691760000\/19 = 0.\nAnswer: -11815, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**2 + 10425316*r + 145955208 = 0.\nAnswer: -14, 2606343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -159 - -2?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -51*m**3 + 8*m**2 + 141*m + 122 - 59*m**2 + 19. Let a(i) = -5*i**3 - 5*i**2 + 14*i + 14. Let q(g) = 21*a(g) - 2*t(g). Factor q(k).\nAnswer: -3*(k - 2)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/112*(28\/6)\/2*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4980 at most as big as -238805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 2*h. Let q(c) = 9*c**2 + 11*c - 1. Suppose -5*s = -3*s + 4. Let m(r) = s*q(r) - 11*f(r). What is the derivative of m(o) wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.2, 20, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-38 + (13 - 10) + 16).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b = 263*b + 9428 + 4004 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -2*x**6\/3 + 8*x**5\/5 - x**4 + 1. Find j, given that d(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*h**3 + 23 - 23)*(10675 - 4731 - 4315) to c*h**3 + s*h**2 + t*h + m and give c.\nAnswer: 35838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-4) + (-3)\/4. What is the second biggest value in -12, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 6\/11 - 8\/11*u + 2\/11*u**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.8, 4\/7, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssslsslsls. What is prob of sequence sls?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8221, -8223, -8225?\n\"Answer: -2*s - 8219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0 (c) -14645\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -9*p + 12*p - 7, 3*o = -5*p + 13. Solve -z + 5*m + 21 = 0, 3*m + 13 + 4 = p*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34776 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028583357 to six dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/((-25)\/(-150))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 51.56.\nAnswer: 2.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8238536361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 25 = -5*j, -4*j = -5*q + 1170. Suppose -242*i = -q*i - 12. Solve 8*u - 4*p = 5*u - 8, 6 = i*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a - 25 = 0, -2*k = 2*a - 2. What is the tens digit of k\/(-4) + -1 - (-227 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r**2 - 5*r**2 + 3*r**2. Let u(a) = -a**3 - 2*a**2 + 2*a - 3. Let h be u(-3). Let t(z) = h*z + 2*z - 3*z. Calculate c(t(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 28. Let n = s - 7. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:25 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 83 = -4*d + 3*d, 4*p - 9088 = 5*d - 18059 + 9060 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*h - 15 + 3, 4*s - 7 = -h. Suppose -160 = -s*m + 5. Let b be (-7)\/(-1 - 0) + -2. What is the highest common factor of m and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.00011 in -4\/31, -1, -17, 4?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1536183 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207766 is divided by 4155.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 6*r + 11. Suppose 5*u - 64 = -3*u. Suppose -u*x = 3*a - 4*x - 31, -5*a - 3*x = -48. What is p(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-4))\/(-4))\/(-1) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15362*w + 15344*w + 4 + 286*w**2 - 1091*w**2 - 13 wrt w?\nAnswer: -1610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 1674*w**2 - 351120*w - 349448.\nAnswer: -2*(w + 1)*(w + 418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from ciddzvidivo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110556 is divided by 12273?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 63, 4 in increasing order.\nAnswer: 3, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31838556 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 - (3 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11980, -2, 2, -17, 1, -37 in ascending order.\nAnswer: -11980, -37, -17, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from ddddatatdddaatdt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4775\/7203 - 9\/2401. Which is the nearest to 2\/3? (a) 84\/379 (b) -3 (c) 4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let v = 11 - 7. Suppose h + 4*j - 47 = -v*h, -12 = -4*j. What is the remainder when h is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1669 * -21\nAnswer: -35049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 549 and 2013183?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from iliilii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-7)*n*n**(-3)*(n**(2\/5))**40 assuming n is positive.\nAnswer: n**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47317.\nAnswer: 47317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/(-51) + 2\/1. Let p = w + 9\/34. What is the second smallest value in -2\/5, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.64 - -31. Let f = -0.24 - r. Which is the nearest to -0.08? (a) 4 (b) -4\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 2, 1 in increasing order.\nAnswer: -106, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 74*f + 351. Determine c(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let g = -2 - z. Let y = 16.7 + -16.5. Sort y, g, -0.4.\nAnswer: g, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(1885\/1157) - 3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 1, l: 7, m: 5}. Give prob of picking 1 m and 1 z.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.4 from -236002782.\nAnswer: -236002773.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0369 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*1 - (-738 + -2)\/(-4). Let m = -92 - u. Suppose 0 - 100*r**5 - 7*r**4 + 2*r + 2*r**3 + m*r**5 - 1 + 8*r**2 = 0. Calculate r.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -19.2. Round q to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3688.5 - 3689. Which is the closest to 1? (a) -3 (b) -12 (c) i (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -1.99. Let z = r - 1.91. Let y = 0.17047 - 0.17047. Are z and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 6*u)*(-242 - 7 + 45).\nAnswer: -1224*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 2, -35 in descending order.\nAnswer: 2, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/97 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)\/((t\/(t*t\/t**(-7)))\/t)*t**7*(t**(1\/5)\/t)\/t)**15)**(-4\/9) assuming t is positive.\nAnswer: t**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -69018?\nAnswer: 414108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 12. Let k(q) = -1. Let r = 1158 - 1153. What is r*k(l) - v(l)?\nAnswer: l - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.6142 + -0.1542. What is m rounded to one dp?\nAnswer: 31.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12007470 and 33.\nAnswer: 396246510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567 and 1643201.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 11. Suppose 4*h + 4*s + 8 = 0, -5*h + 10*h - 4*s + 28 = 0. Let p(r) = r**2 - 4. Calculate the lowest common multiple of p(h) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 17 - 9 + 63 - 17 - 22.\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 2*n**2 - n - 2. Let t be g(-2). Let l be 1*(-246)\/(-63) - t. Let p = 1033\/42 + l. Calculate the common denominator of -5\/2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2229 - -2397. Suppose 3*b - 2*i - 860 = 3*i, 0 = -b + 5*i + 290. Let g = b - l. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120 + (-3)\/2*(-72)\/(-27).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 26. Suppose i = 3*p - 35 - 7. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31275.455842053+0.4\nAnswer: 31275.855842053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxfnj. What is prob of picking 1 j and 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2 + 2)*(z + 0*z + z) + 0*z**2 - 2*z**2 + 0*z**2 + (1 + 1 - 5)*(2*z - 2*z - z**2).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4.3. Let r = l - -24.3. Let t = 27 - r. What is the closest to t in -3, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7541 - -14?\nAnswer: 7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 5180?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 10, k: 2, v: 1, e: 2, h: 1}. What is prob of sequence ep?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -o + 4, 3*p + 22 = 5*o + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -431 at least -533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = -3*l, 4*c = 8*c - 4*l + 8. Let d = 85 + 72. Suppose 173 = g + d. Solve -2*f + 6*f - g = c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:18 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 30, 46, 62?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2)*-2*-2. Let k = 157 - 146. Solve 2*x = l, 3*x = m + 6 + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*m - 14 = 6*m, m + 9 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*v**3 - 38 + 38 + (-1 + 1 + 32*v**2)*((2 + 0 - 4)*(1 - 5 + 3) + 0 + 0 + 1)*(0 - 2 + 4)*(-2*v - v + 4*v).\nAnswer: 233*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.949 years in decades?\nAnswer: 97.3949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922914504?\nAnswer: 2, 3, 43, 298099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-81)\/18*(-229 + -1). Let y be 4\/(-10) - n\/(-25). Let x = 62 - y. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 16 = 2. Let j = -4 + p. Let k(f) = -f**3 + 3*f + 0 - 6*f - 1 + j*f - 2*f**2. Determine k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-2\/127)\/c)\/c)*c*c**(-37)\/c)**14 assuming c is positive.\nAnswer: c**(-60424\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 701799.5 years?\nAnswer: 7017.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 17 = -19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138067.\nAnswer: 101, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - n**2 + 35 - 2*n - 70 - 12*n**3 + 34. Let m(p) = p**3 - 1. Let z be m(0). Calculate f(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 x when three letters picked without replacement from {l: 2, g: 4, x: 4, o: 4, e: 6}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-15))\/(8\/20). Suppose 7*b = 3*b + 20. Suppose -2*u + q = 6 - 48, -b*u - x*q = -114. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - (6 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 192 = -410. What is the remainder when k is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q + 5*w = -13, 4*w = 5*q - 5. Let l(m) = -104*m - 7384. Let h be l(-71). Sort h, q, 4, 3 in descending order.\nAnswer: 4, 3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:45 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:17 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d7 (base 14) to base 12.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-132)\/22 - 31) + 48\/4. Is -13 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in -0.2, 0, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/2)\/((-1)\/46060*10)?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (157 - 646 + 23 - 779)*(2 - 2 - 2*i**2) to the form c*i + x + n*i**2 and give n.\nAnswer: 2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364107939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1771142 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235809 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6900 divided by -6?\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 2 (c) -73 (d) 2\/3 (e) 4 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -7, -16 in decreasing order.\nAnswer: 53, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 3, 7 in descending order.\nAnswer: 7, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*b**3*p + 3*b**3 - 2*b**2*p - 88*b**2 wrt b?\nAnswer: 174*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32879 and 7021161.\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaa when three letters picked without replacement from aaeeeea?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 385*q**2 + 7600*q + 7220.\nAnswer: 5*(q + 1)*(q + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5 + 4*g**4 + 16*g**3 - 32*g**2 - 32*g + 64.\nAnswer: -2*(g - 2)**3*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 6*r - r + 2*r - 2*r + r - 2*r - 3 + 3 + (3 - 5 + 1)*(6*r - 4*r - 4*r) + 6*r - 2*r - 3*r - 4*r + 0*r + 5*r - r - r + 3*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = -3. Suppose r*w + c = -0*c - 7, 5*c - 29 = w. Let y be 0\/w + (-4)\/(-2). Solve 3*z - 18 = -k - 2*k, -3*k = -y*z - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tytxxad. Give prob of picking 1 x, 1 a, and 2 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9077*l**3 - 2*l**2 + l + 32525 wrt l?\nAnswer: -27231*l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/10)*f)\/f**(-1\/31))\/((f\/f**7)\/(f*f**(-4)\/f)) assuming f is positive.\nAnswer: f**(1281\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 187715446 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from jjjjjnjjnjjjjjnjnjn?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -174786954369 minus -26?\nAnswer: -174786954343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 115*n + 2*n**3 - n**2 + 4*n - 1 - 3*n to the form u + b*n + d*n**3 + r*n**2 and give b.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5 + 22 - 11 + 13 + h**2 + h. Is a(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*z + 8982, -5*m + 342*z + 8990 = 337*z. Calculate the lowest common multiple of 42 and m.\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 274269 = -n + 190916. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + (-2 - -4))*-1. Let f be 0 - (-10 - 4\/b). What is the least common multiple of 20 and (f - 1)*(-2)\/(-1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*8*(-2)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -18010, -5, -1\/3 in descending order.\nAnswer: -1\/3, -5, -18010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200782039?\nAnswer: 200782039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 - 2*u**2 - u**2)*(-1 - 1 + 0) + (0*u + 0*u - 2*u)*(-21 + 7*u + 21) - 2 + 2*u**2 + 2 to the form t*u**2 + k + c*u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 16. Let a = -7 - l. Suppose -4 = b - 5*b - 3*q, -8 = a*q. Is b less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g + 6 = 0. Let j = -691 - -7599\/11. What is the nearest to g in 0.5, -2, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnnn when four letters picked without replacement from {c: 2, p: 4, v: 2, n: 3, b: 2}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32508)\/10449)\/(4\/(-45))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 times 2?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (8\/(-4) + 0). Put l, -2, 4 in ascending order.\nAnswer: -2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(243) + -2 - (-3 + -2 + sqrt(243))**2) + 1.\nAnswer: -272 + 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*h - 12224 - 8581, 4*s = -h + 6946. List the prime factors of h.\nAnswer: 2, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4103*h - 4935*h = 22464 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*a**3 - 8*a**3 - a**3.\nAnswer: 89*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003267 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46446906 and 27.\nAnswer: 418022154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, e: 13}. What is prob of picking 1 e and 2 x?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 5 = -5*v. Let u(f) be the first derivative of f**4\/4 + 2*f**3 + f**2 - 3. Let w be u(v). What is the greatest common divisor of w and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/78 equal to -35\/127422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1586 and 21838?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 147 = 195. What is the remainder when w is divided by (-1)\/(42\/(-56) + (-166)\/(-232))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 2141816.3?\nAnswer: -2141816.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152 or 115?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 40329 in descending order.\nAnswer: 40329, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73.6 smaller than 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 2 - 4) + (0 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3070)\/(-3843640))\/(3\/(-24)).\nAnswer: -2\/313","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) 2 (c) -1 (d) -5 (e) 10.802 (f) 0.4 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*n = 15, h - 20 - 15 = -2*n. Suppose 2*q = 4, 2*l + 5*q + 9 = h. Let y be l\/18 - (-604)\/36. Solve -4*g + 5 = y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -2a044c?\nAnswer: 2a044b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/2*24\/20. Let w = y - -16. Calculate the remainder when w\/(-3)*9\/(-3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47272787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**3 - 697913*v**2 - 1589841*v wrt v.\nAnswer: -12*v - 1395826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayllyllalalaa. What is prob of picking 1 a and 1 y?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1550208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 = -10. Let t = m + 6. Solve -2*u + t = -v + 2, -5 = 2*v - 5*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 12 + 8 + 19 - 9.\nAnswer: t**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -26*b + 35. Let l(s) = -9*s + 12. Let q(k) = -11*l(k) + 4*v(k). Suppose -p + 24 = -3*p + 4*z, 47 = -5*p - 3*z. List the prime factors of q(p).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -7 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 228 in decreasing order.\nAnswer: 228, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/24 - 15*q**2. Suppose -f = -4*l + 12, 2*f + 3*l - 9 = -2*f. Let s(i) = -2*i + f*i + 0*i. Calculate s(c(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 12*o**2 - o - 12. Let m be s(-12). Solve -4*c + 0*c + 16 = m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -749552665*t**4 + 3*t**2 - 2666024*t?\nAnswer: -17989263960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 633586 and -0.02985.\nAnswer: 633585.97015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 45 = -3*l - 12, 16 = 4*q for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-32))\/(143\/(-208)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 6 = 3*v, 2*v = -n - n - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 27*n**2 + 4*n - 28*n**2 as b*n + l*n**2 + v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021507 to the power of 1\/2, to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8282106 divided by 9\nAnswer: 920234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -45. Let q = -83 - -74. Let j = q + p. Solve -3*i - 3 = 2*v + 4, 2*v + j = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, 1, 3, 12 in ascending order.\nAnswer: -20, -5, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (10 + -24 + 17 - (0 - 8)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -13. Let a be (-1)\/2 + u\/6. Let d(t) = 12*t**2 + t + 1. Does 6 divide d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 8*f**2 - f**3 + 6 - 3*f + f**2. Let m be 15\/(-3)*(-4)\/5. Calculate the least common multiple of i(m) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/3? (a) 2\/9 (b) 4 (c) -5\/6617\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(9\/54)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of -2 + (-8)\/6*-66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -160, -331, -584, -925, -1360, -1895, -2536?\nAnswer: -3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 1:55 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 a factor of 47261455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 324552323 (base 6) to base 3\nAnswer: 101222020222120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0 + 2*q)*(-49*q**2 + 3*q**2 + 4*q**2) to the form t*q**2 + y + p*q + o*q**3 and give o.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*y - 14 = 126*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 992632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**4*s**2 - 17*a**3*p**3*s**2 - 2*a*p**2*s**2 - 4*a*s**2 - 10*p**3*s**2 wrt a.\nAnswer: 36*a**2*s**2 - 102*a*p**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -150*(-6)\/(-28)*10108\/3610?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i*i**(-1)*i)))**(4\/21)*i**(5\/6)*(i**3*i)\/i assuming i is positive.\nAnswer: i**(59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/5, 3, 5, 5\/133?\nAnswer: 5\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39 + (5 - (-4)\/(-2)). Let g = w - 29. What is the second derivative of -q**2 + g - 13 - q wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.152456047 to four decimal places.\nAnswer: -0.1525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33135.1 rounded to the nearest 100?\nAnswer: -33100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6.1. Let l = 95\/58 + -4\/29. Which is the closest to -1? (a) z (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:18 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -381*i + 1521. Give z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 7:47 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 4*r**2 + 4. Let c be g(4). Find the second derivative of -21*p**c - 5*p + 21*p**4 - 4*p**5 wrt p.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 18*u - 20)*(-2*u - 246 + 121 + 124) to v*u + x*u**2 + f and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuufuuuuuffuuuuufu. What is prob of picking 1 f and 3 u?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.03, -5, -3, 0.2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030*o = -1036*o + 36 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 5*f**6\/6 - f**5 - 5*f**4\/4 + 5*f**3\/3 - 140. Find u, given that g(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 794 and 22691726?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*w = -8, -2*h + 3*w + 5 - 9 = 0. Solve 4 = -3*c - h*k - 2, -3*c + 18 = -4*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404430 (base 5) to base 4\nAnswer: 3030323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17769119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 33*p = -d + 7, -5*d + 4*p - 37 = 0. Let q be (-3)\/((-3)\/5) - 0. Sort -6, d, q, -3 in descending order.\nAnswer: q, d, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 26*n - 550. Suppose -23*a - 1380 = -n*a + 5*x, 4*x - 4216 = 3*a. Round a to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 51*i**2 + 341*i - 6. Give j(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -75132?\nAnswer: -1502640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 - 3*a**2 - 3*a. Let q(c) = 6*c + 99. Let s be q(-16). Let m(w) = 8*w**3 + 7*w**2 + 7*w. Give s*m(u) + 7*r(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 6 + (15 - 9) + -9 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/16*(-248)\/(-465).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (-132)\/(-22)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165410 and 74984.\nAnswer: 885935960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729878 to the power of 1\/2, to the nearest integer?\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63034 is divided by 402?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -596*b - 1237*b - 1141*b - 134*b - 769*b + 1 as y + g*b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 189*s**2 + 3*s + 1. Let b(y) = y**2 - 13*y - 17. Let a be b(14). Is m(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14767745*q**3*x**3*z + 2*q**3*x**2*z - 53*q**3*x**2 - 3*q**3*x - 1393*x**2 wrt x?\nAnswer: 88606470*q**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 0) + (4360 - 4328).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.31? (a) -330 (b) 2 (c) -0.32 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 10*w**5\/17 + 5876*w**4\/17 + 391096*w**3\/17 - 170308*w**2\/17 - 856226*w\/17 + 629552\/17 = 0.\nAnswer: -511, -77, -8\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + q**2 + 4 - 21*q**3 + 0*q**2 in the form a*q**3 + p + c*q + n*q**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*w + w + 3*g, -24 = -4*w - 5*g. Suppose 30*f + 1078 = 44*f. What is the highest common factor of w and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.063 + 948.\nAnswer: 947.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 232691 + 462438?\nAnswer: 695129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2323.\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/10 - (-330417)\/30. What is u rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(11) + 4)*-3.\nAnswer: -24 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9669456 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1994, 3988, 5982?\nAnswer: 7976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10 - 0)\/((-3)\/(-6)). What is the third biggest value in 4, 1, f, 3\/26?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-46))**41)**47 assuming v is positive.\nAnswer: v**(-88642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*a + 12 + 23 = 0, 0 = -3*a - 2*a - 6 - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 + 0. Let n = -1467 - -1469.948. Let o = n - -0.052. What is the third biggest value in 2, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3250364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -18.4. What is the second biggest value in t, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -33.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8013 and -14?\nAnswer: 112182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 5 + (2 + 4 + 3)*(-2 + 3 + 0))*(5*z**3 - 3*z**4 - 5*z**3).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1789 + 3319. What is the highest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 15952*c**3 - 63872*c**2.\nAnswer: 4*c**2*(c - 3992)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(19) - sqrt(76))*1 + -1)*5.\nAnswer: -5*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 11*b - 148*b - 4998 = 28*b for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4792576426 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6 - 3\/((-84)\/(-10)). Put 3\/7, 0.16, b, -2 in descending order.\nAnswer: 3\/7, 0.16, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.57. Let n = -1.5 - -2.4. Let m = n + o. Which is the smallest value? (a) -4 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -33. Suppose 5*g - 9 - 6 = q, -3*g + 27 = 3*q. Let u be (0\/g)\/(1 + -2). Solve 0 = -2*y - i - u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -486.75 * -532.6.\nAnswer: 259243.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/5 - 63*j**4\/5 - 511*j**3\/5 - 1377*j**2\/5 - 1468*j\/5 - 108 = 0. Calculate j.\nAnswer: -54, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4548868106.\nAnswer: 2, 2274434053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -1\/15521675 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and (-93)\/(-15) - ((-28)\/35)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/8*(-10)\/5. What is the third derivative of -68*t**3 - 3*t**4 + 82*t**l + t**4 - 35*t**2 wrt t?\nAnswer: -48*t + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 + 12 + 8 + 2 + 15\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57264)\/(-72))\/((-4)\/(-66)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218194*-24.65.\nAnswer: -5378482.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -4 + (-1 - -3). Suppose 0 = l - k - 7, -5*l = -8*l + k + 17. Solve -2 + 6 = -l*o + 3*t, n = -t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x + 1. Let v(f) = 1. Let t(j) = 24*j + 4. Let o(m) = -t(m) + 3*v(m). Calculate -5*c(l) - 3*o(l).\nAnswer: 12*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 4123060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 45 + 39 = 0. Sort 4, 7, a.\nAnswer: a, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + l - 0 - 5, 5*s + 16 = -4*l. Put -0.4, s, 0, -1\/6 in increasing order.\nAnswer: s, -0.4, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d + 30. Let y = d - -11. Suppose y = 4*p + p. Is p smaller than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25942 greater than or equal to -4\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198 + 33?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3666\/7 - -524. Let s = -0.7 + 0.8. Which is the closest to s? (a) 5 (b) -0.05 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 - v + v + (-v - v + 0*v)*(315*v - 640 - 103*v + 637).\nAnswer: -428*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -25*a**3 + 4*a**2 - 4*a + 4. Let g(y) = -99*y**3 + 15*y**2 - 15*y + 15. Let k = 1780 + -1765. Determine k*r(w) - 4*g(w).\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -292*(82 + -67 + (-1505)\/100).\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 13*k**2 + 7*k + 7. Let l be v(-13). List the prime factors of 12\/l + 239\/7.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/20 - m**4\/4 + 7*m**3\/6 - 46*m**2 - 2*m. Give u(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34290 divided by -60.\nAnswer: 1143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 0.8. Let p = 16 + -15. Which is the closest to p? (a) 1 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/20 and 83\/2572?\nAnswer: 12860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19896*d - 4667*d = 593931 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i**(-7)\/i)\/((i\/i**(-2))\/i)**(-1\/80) assuming i is positive.\nAnswer: i**(-599\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 11*w**5\/3 - 5*w**4\/24 + 2503*w**3\/2 + 5670*w**2. What is the first derivative of y(n) wrt n?\nAnswer: 440*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 1187, -5, -13, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**4 + 2307*h**2 - 9*h**3 - 2307*h**2)*(-49 + 184 + 273) as y*h**3 + s + v*h**2 + n*h + a*h**4 and give y.\nAnswer: -3672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j**2 - 4*j + 2. Let r(i) = 4*i + 2*i**2 - 3*i + 27 - 28. Let c(s) = -11*r(s) - 4*w(s). Is c(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 684, 825, 992, 1185, 1404, 1649, 1920?\n\"Answer: 13*x**2 + 102*x + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (-4 - (-318)\/33) and ((-33)\/(-14))\/(30\/7)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 361*k - 4736. What is the tens digit of n(93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 - -10021?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58126, -232215, -522272, -928297, -1450290, -2088251?\nAnswer: -2842180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2 + 12)*(-3*v + 4*v + 4*v).\nAnswer: 105*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + (-60 + -11 + 63 - (1 - 11)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 787 - 772. Solve -c = 8*l - 31 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -13. Suppose -198*v + 180 = -203*v. Let c = v - r. Round c to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76591 or -11?\nAnswer: -76591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from bgggmgmggg.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 10:33 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23432425 to the nearest integer?\nAnswer: 4841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 8*p + 2. Let k be l(-8). Let q(w) = 14 - 14 + w**2 + k*w - 1. What is q(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6238680 to the nearest ten thousand.\nAnswer: 6240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 56 + 3 + 92\/((-4968)\/1890)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmnnmmnnmnmnm.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 - -96?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65*(-14)\/73710)\/((-3)\/(-81)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*i + 17, 5*g = -0*g - 2*i. Suppose 0 = v - g*f - 16, 5*v - 4*f = v + 80. Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2912086 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 - 3*y**3 - 339*y + 174*y + 165*y.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(-1)\/4 + 4\/8. Suppose 0*q = -3*q - n. Let g be ((-3 + 3)\/q)\/2. Solve g = -5*v - 4 - 16, 4*v + 22 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6381.\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195442 is divided by 2062?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -328707 + 328722, 3*r - 3*n = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 3\/6*0. Suppose -l - y*l + 18 = 0. Solve -3*q - l = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -22825*d**2 - 605. Let c(q) = 226*q**2 + 6. Give -605*c(h) - 6*n(h).\nAnswer: 220*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) 0.3 (b) 7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.8148777 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 n when three letters picked without replacement from {p: 3, n: 7, x: 2}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 172. Does 19 divide (-743)\/(-5) - ((-235)\/25 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2875 and 0.08.\nAnswer: -2874.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1117 + 9*c - 1176 + 2357 to b*c + f and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + v**3 - 2*v + 0*v**3 + v as i*v + w*v**3 + f + z*v**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1014425 + 10?\nAnswer: -1014415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (168\/16)\/(2\/144). Suppose 2*d - o = -2*d. Suppose -a - d = -4*a. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7302 - -7317. Solve -d = -3*i - 2*h, -h - 36 = 3*i - 51 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*b - 2910, 2*i - 6675 = -5*b + 640. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 38\/59 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(7)*-2 - (sqrt(21)\/sqrt(3) + -1)) + 0)**2 + -2 + (-3*sqrt(7)*-5)**2 + 3.\nAnswer: 2*sqrt(7) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13))**(-34\/3) assuming p is positive.\nAnswer: p**(442\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/15 of a hour in seconds?\nAnswer: 6720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-500)\/(-300) - (-266)\/(-3). Let i be 5\/(-1)*1 + (-47 - u). Solve -r + 38 - i = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -126? (a) 0.164 (b) -4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3802733 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 370.00281 + -370. Round t to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-9))\/((-3)\/(-3*6)). Suppose -3*c = k*y - 768 - 176, -3*c = -2*y - 914. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*((n\/((n\/(n*n**(-1\/10)))\/n)*n)\/n)\/n*n)\/((n*(n\/n**(-5))\/n)\/n))\/(n**(-3))**6 assuming n is positive.\nAnswer: n**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 367 - 157. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-9))\/(2\/18) + -23)*-1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 2*f**2 - 17*f - 63. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 16*g**2 - 27*g + 23. Let d be t(14). Sort d, 5, -5 in descending order.\nAnswer: d, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.08855583 + 4.0884. Round o to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20*m**3 + 5*m**2 + 5*m - 11. Let v(n) = 10*n**3 + 3*n**2 + 3*n - 6. Calculate -3*l(g) + 5*v(g).\nAnswer: -10*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -6, 36, -174?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:50 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -36, -69, -120, -195, -300?\n\"Answer: -w**3 - 14*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -7*q - 4*s, 140 = -5*q - 137699*s + 137704*s for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5682177 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - ((-171 - -193) + 1 + 6)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j**4 - 11\/60*j**5 + 0 + 0*j - 10*j**2 + 13\/6*j**3. Differentiate a(m) with respect to m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117993 is divided by 29356?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 112459 >= 112459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5723*d**3 - 744*d**3 + 966*d**3.\nAnswer: 5945*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, e: 4}. What is prob of sequence eeuu?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 9*r + 6*r = -20, d + 3*r = 19. Solve v = -3*v + 4*p + 4, -d = -v + 4*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**2 + 23*h**2 + 5*h**2 + 2*h**3 in the form j + c*h + m*h**2 + k*h**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -515 - -512 - (-3 + (-25 - -70 - (-1 + 3))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482890033.\nAnswer: 821, 588173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/48499230?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50327 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858017991?\nAnswer: 3, 431, 663587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + 4*b + (-1 + 3 + 0)*(-3*b + 0*b + b) + 0*b + 0*b - b - b + 4 - 4 + 4 - 4 - 2*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7904 + 7903.6. Let n = 0.7 + -0.7. Let w = -1 + n. Put 0.2, h, w in descending order.\nAnswer: 0.2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:32 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -187*t**5\/60 - 1124*t**2. Let y(u) = 20*u**2. Calculate g(y(s)).\nAnswer: -74800*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyuuuyuu. Give prob of picking 1 u and 2 y.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46837 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -33. Calculate the remainder when 133 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*m = 438, 4*m + 689 = 5*d + 155. What is the highest common factor of d and 1054?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 21*u**2 - 5*u - 2. Let s be a(5). Suppose 2*q - 212 = s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/24)\/((-1)\/4). Let i = -83\/87 - 1\/1914. Let r = 5\/11 + i. Sort 1\/6, r, q, 3 in descending order.\nAnswer: 3, 1\/6, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 197*f + 14984. Determine q(-76).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + -0.1. Let k = 3361.9 + -3122. Let d = k - 240. Sort s, d, -52 in decreasing order.\nAnswer: d, s, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 0. Factor 2*y**3 - y**3 + y**5 + a*y**4 - 2*y**4.\nAnswer: y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335003050 divided by -10.\nAnswer: -33500305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/42*1)\/(4\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d = 74*d + 25. Solve v - 5*j = 6 + 9, -d*v - 29 = j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 - 6*g**2 + 6*g. Let l be x(4). Suppose w - 3*w = -l. Calculate the highest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76, -178, -280, -382, -484, -586?\n\"Answer: -102*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117.533158 - -117.44. Let z = i + 0.183176. Let d = 0.09 - z. Round d to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 120724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*n + 5 = -0*n, 0 = -3*d - 3*n. Let l(s) = 6*s**2 - 5*s + 2. Let v(p) = p**2 - p. Calculate d*l(c) + 5*v(c).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111000100001110 (base 2) to base 11.\nAnswer: 121927","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + -17. Let o = 31 - w. Suppose 3*r - o = 29. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46301 - -211?\nAnswer: 46512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/12, 81, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10193\/6 - 1705. What is the common denominator of (2\/(-15))\/(2\/42) and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78485 milliseconds in microseconds?\nAnswer: 2784.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*s**2 - 2*s**2 + 2*s**2 + (-s + 3*s - 6*s)*(-4*s + 3*s + 0*s) - s**2 + s**2 - 2*s**2 - 4*s + 1.\nAnswer: -15*s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 8*b**2 + 1369 - 10*b**2 - 1369.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 938?\nAnswer: 19698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3, u + 19 = -68*t + 84*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 41\/2*v**2 - 3 + 4*v**3 - 43\/2*v = 0.\nAnswer: -6, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2 and 6\/(-15)*(-85)\/(-40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a + 48*a = 2*r + 2, -3 = -a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from oopdppppopodp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 39 (b) 0.2 (c) -0.17 (d) 433\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 14*p - 15. Let t be f(15). Let q(h) = -h + 2. Let m be q(t). Suppose -4 = -3*u + m. Solve -4*y - 11 = -5*x, 0 = 5*x + u*y - 3*y + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40572753 divided by -5?\nAnswer: -40572753\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 2*s**2 + 0*s**2 + 2*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-1\/14)))*q**(3\/7))**(-3\/8))**(-22) assuming q is positive.\nAnswer: q**(627\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 17. Let k be u(5). Let n be 4\/8 - k\/2. Suppose 0 = -n*a - 12, -142 = -2*p + p - 4*a. List the prime factors of p.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 25186 (c) -0.2 (d) 1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-10)*(10 - -2). Solve -4*k - b = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -19*h**2 - 4*h + 59. Let a(q) = 19*q**2 + 3*q - 53. Give -3*a(k) - 2*c(k).\nAnswer: -19*k**2 - k + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + b. Let o(s) = 39*s**2 - 27*s + 3. Determine -18*j(a) - o(a).\nAnswer: -3*a**2 + 9*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 7\/11 (d) -2 (e) 5.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158078*k + 3627 = -157675*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5 + 7, -4*z = r - 18. Solve 3*m = -2*m - 5*l + 30, m + 3 = r*l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b. Calculate m(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 29*b**2 - 2*b + 0*b - b - 2. What is the tens digit of d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/72 - -8*(-4921)\/3552.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9688 + 9906. Solve 3*h = 2*d + 5, -223*d + 5*h - 5 = -p*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*a + 5*q + 51, 2*a - 38 = 5*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 13*v + 6 + 9.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67797991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014399 divided by -338133.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/4 (b) -4 (c) 3.4 (d) 0.1 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*u - 29. Put 3, 1, u in decreasing order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168352 divided by 16?\nAnswer: 10522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 75 = -b, -8*b + 5*b + 3*n + 243 = 0. Calculate the highest common divisor of b and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (521 + 586 - 180)*(0*p + p + p)*(6*p + 10*p - 2*p)*(2*p - 2 + 2).\nAnswer: 51912*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1077 - -1080. Put 65, w, 2\/9, -3\/8 in ascending order.\nAnswer: -3\/8, 2\/9, w, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235.2*-56507.\nAnswer: 13290446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003131 (base 4) to base 2.\nAnswer: 1000011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 3*l**2. Let g(w) = 6*w**3 - 8*w**2 - w - 1. Suppose 4*f + s = -15, -2*f - s + 5*s = -6. Determine f*g(q) + 8*n(q).\nAnswer: -2*q**3 + 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(-2 + 2 + u) + 1787 + 40*u - 1787.\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c)\/c)**(43\/3)\/(c**(3\/2))**47 assuming c is positive.\nAnswer: c**(-337\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3977 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**3 + a**2 - a + 1. Calculate j(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o + o + 3*o - o - o + 8*o + (1 + 2 - 2)*(-2*o - 2*o + 5*o) - 3*o + 3*o + o + (-1 + 0 + 2)*(-4*o + 26*o - 6*o).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/4 + 535*k**2\/4 - 114581*k\/4 - 28141995\/4 = 0.\nAnswer: -645, -161, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.158 + -0.093. What is u rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 9*c**2 - 8*c - 16. Let o be z(10). Suppose -4*q = 0, -2*w + q - o*q = -1108. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 1606)\/(-5))\/(385\/175 - (-442)\/(-85))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.1 - 0.9. Let i = 16 + c. What is the nearest to i in 0.3, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u + 60 = -51*u - 20*w, -2*w - 7 = u + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288984\/13 + 22230. Factor 0 + 2\/13*p**2 + d*p.\nAnswer: 2*p*(p + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201067 + -89464. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8246, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19072 and 176?\nAnswer: 209792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -57 + 129. Let x(c) be the second derivative of 0 - 1\/3*c**4 + 1\/15*c**k + 0*c**3 + 0*c**5 + 2*c + c**2. Determine z so that x(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, -16.8, 2\/7, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143) + -4*(sqrt(143) + (sqrt(143) - sqrt(143)*2)) - sqrt(143)))\/((sqrt(275)*3 + sqrt(275))*1) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.057, -638, -0.2.\nAnswer: -638, -0.2, 4.057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -67 + 57 + 356\/(-10). Is -2\/9 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 2955*s**2 - 12005*s - 62475.\nAnswer: 5*(s - 7)*(s + 3)*(s + 595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 + -3 + -2) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 764*t - 835*t + 5 - 10 to s*t + o and give s.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 36*m**2 - 165*m - 126. Calculate the remainder when 8650 is divided by c(-40).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667 minus 0?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.3 (b) -101528 (c) 2\/7 (d) 6.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1827*v - 59.\nAnswer: -1827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99\/74 + 14937\/11248. Let d = 4849\/1520 - p. Let t be (-16)\/(-6) - (60 + -61 + 5\/3). Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36150817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*w + 31461, 0 = -w - 386 + 390. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*l**3\/5 + 32*l**2\/5 - 12*l - 36\/5.\nAnswer: 4*(l - 1)*(4*l + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 2.687?\nAnswer: -3.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 18*b - 9*b. Sort b, -3, 4, 0 in descending order.\nAnswer: 4, b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/35, -2, -4, -3\/4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 13, 43, 85, 139, 205, 283?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/45 + 1\/9. Which is the closest to -1? (a) -5 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -277*r**2 - 980*r + 980*r to the form f*r**2 + i + j*r and give f.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Suppose -4*i - 3*d - 7 = 0, -5*d - 8 = 2*i - 1. Let q = 2 + i. Is n < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 902204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 9, k: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/3)\/t*t)**(12\/13)\/(((t*t**(2\/5))\/t)\/t**(-2\/13)) assuming t is positive.\nAnswer: t**(44\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.91 - 15.9. Let g = -4 + f. Which is the biggest value? (a) 4 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147921998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18\/821 - -58111\/8210. Let j = -9\/955 - 65877\/1910. Find the common denominator of j and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/(-15) + 54\/(-225)*25\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/60 + 7*d**4\/24 + 5*d**3\/6 - 2*d**2. List the prime factors of a(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 41 = 3*b, -4*b - 7*c = -5*c + 18. Let k be 0 - b\/(-21) - (-91)\/291. Is k >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 3*m**2 + 8*m - 10. Let q be s(4). Let a(z) = 504*z + 36. Let g be a(q). What is g rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608803269?\nAnswer: 3, 17, 11937319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 341 - 339. Find the second derivative of x + 0*x + 99*x**k + 22 + 10*x**2 wrt x.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:11 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-90)\/(-35)*7\/(-1). Let n be (12\/l)\/(2\/12). Sort 3, n, 4\/5 in increasing order.\nAnswer: n, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 111?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.147047 and 0.018.\nAnswer: 0.165047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.45931ms to microseconds.\nAnswer: 67459.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9153 and 1017?\nAnswer: 9153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 16 = -3*y + 5, -2*y + 4*d = -2. Suppose 5*n = -v + 50, -v + 3*v - 1 = -n. What is the least common multiple of n and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 11*h + 6. Let n(r) = -3*r**2 - 24*r + 13. Let i(j) = 13*l(j) - 6*n(j). What is i(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-30) + 49472\/(-240). Let l = -40 - f. What are the prime factors of l?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u - 5. Sort u, -3, -2 in decreasing order.\nAnswer: u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1264 + -1262.242. Round d to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2803885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 37*n**2 - 14*n + 96. Determine m(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 606 = 5*h, -2*d - 3*h + 196 = -426. What is the highest common divisor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y = 14*y + 5*y + 86 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12100 - -13451?\nAnswer: 25551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 4. Let f(u) = 2. Suppose 0 = -2*w + 13 - 5. Suppose 6 + 2 = 2*p. Suppose -6 = 3*r + w*l, 0*r - 3*r + 18 = -p*l. Give r*g(m) + 4*f(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -23.\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-6) + -3 + 20\/8. Let j be (f\/(-20))\/(-6*4\/(-432)). Factor -27\/5 + 3*a**2 + j*a + 3\/5*a**3.\nAnswer: 3*(a - 1)*(a + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let f = -17 - -14.2. Let x = y + f. Which is the second biggest value? (a) -5 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Suppose 0 = -2*x - 3*x - b*l + 14, x = 2*l. Calculate the least common multiple of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 13) in base 4?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/4 - -197\/76. Let m be (1 - -2) + -2 - 7. Let r be ((-8)\/(-12))\/((-4)\/m). Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -851 + r**2 - 2*r + 427 + 416 to z*r + u*r**2 + a and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16272 (base 9) in base 16?\nAnswer: -2b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:50 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) - ((-14)\/(-8) + -5). Solve 13 = 2*s + 2*o + f, 2*s = 3*o + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -170*c + 130. What are the prime factors of x(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/50 and (-9)\/2070*1068 - -5.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42f + c7?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20993441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 8) to base 9.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*h + 5, -3*q = 3*h - 10 - 5. Suppose -1 = q*f - 53. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 20. Let x be s(6). Suppose -12 - x = -4*p. Suppose z = p*z - 36. Solve -4*b = -k - 12, -5*k - b - z = -4*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11043\/4499*(-13)\/((-234)\/4).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10775 - 29*o**2 - 10775.\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1874 = -10*m + 12*m. Let h = m - -1517. List the prime factors of h.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - -3) + 1 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 916707 and 2750121.\nAnswer: 2750121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3)*(-7)\/(28\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 476342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.5 + 16. Let j = -4 + 2. Let k = j + n. What is the nearest to -2\/7 in 0, -3\/5, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9 from -0.37905234.\nAnswer: 1.52094766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2860*m**3 + 582*m**3 + 3*m**2 + 1280*m**3 to the form f*m**2 + x + u*m + k*m**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -9. Let t = -8 + v. Which is the second biggest value? (a) -0.4 (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 10342?\nAnswer: 31\/10342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/1)\/(1*-1). Suppose 2*r + 2*r = t. Suppose -2*h - h = r. Solve h = -u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6\/7)*h*h**(-8)\/h*(h\/(h*h*h**0))**(-29\/5))**(-12\/11) assuming h is positive.\nAnswer: h**(1284\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*t + 30, -5*h - 45 = -6*t + 2*t. Let u be (t\/5)\/(2\/4). Solve 0 = -3*c - 4*a - 11, -20 - u = c + 5*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1567, 18, 0, 1, 21.\nAnswer: 0, 1, 18, 21, 1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.40188 - 1.2646. What is h rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55066 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - l + 118 = 0, 0*l + 147 = 5*m + l. Let f = -30 + m. Let v = 0.4 + -0.3. Which is the smallest value? (a) 5 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 115, 129, 149, 175, 207?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5499 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-22)*h))**(10\/11)*h**(-1)*h**(-3\/31)*h)**(4\/15) assuming h is positive.\nAnswer: h**(-28652\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017908601 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 28*i**2. Let b(l) = -l**2 + 4*l. Let s(r) = -4*r**2 + 18*r. Let f(c) = 18*b(c) - 4*s(c). What is f(a(h))?\nAnswer: -1568*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 - -165. Find the first derivative of -261*v**2 - 2 - 20 + d - 4 wrt v.\nAnswer: -522*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {n: 1, c: 2, p: 1, s: 2, z: 1, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*d - 4152, 5*b + 5*d - 3501 - 1694 = 0. What are the prime factors of b?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3254, 0.016, 4, 0.4.\nAnswer: -3254, 0.016, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 184546.1 nanometers?\nAnswer: 0.0001845461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3 and 28\/963.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -147, -217, -285, -351, -415?\n\"Answer: v**2 - 75*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.7. Let k = -58.3 - -59. Let g = y + k. Are g and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-148)\/12 - -3 - 3)*-51 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193937685 - -1.9592\nAnswer: -193937683.0408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 21. Let n(r) = 2*r - 147. Let o(v) = -7*m(v) - n(v). Let f(i) be the first derivative of -7*i**2\/2 + 3*i + 1. Give o(f(j)).\nAnswer: 14*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*g - 4, 3*g - 60*p + 58*p = -4. Which is smaller: 1\/257 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.039, 119, 5, -4, -37, 2\/3 in increasing order.\nAnswer: -37, -4, 0.039, 2\/3, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-36)\/(-24))\/((-3)\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4691323*w**5 - w**4 - 10448*w**2 + 2*w + 71?\nAnswer: -281479380*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3601564 = -5*z, 5*g - 10*z - 6002756 = -23*z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31115\/122 or -255?\nAnswer: -31115\/122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10830 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-403)\/(-434)*-7*-4*(-1)\/2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132 + 62 + 44)*(-4*n - 3*n + 4*n).\nAnswer: 78*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 292, -11, 3\/8 in increasing order.\nAnswer: -11, 3\/8, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8239 + 131867\/16. Let g be (3\/9)\/((-54)\/(-1472589)). Let k = g - 9084. What is the common denominator of k and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.547, 2, -59\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*c + 230*c - 122*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (134 - (30 + 21))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131512*u**5 + 176886*u**2 wrt u.\nAnswer: 7890720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 10:14 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**1)**(9\/5)*(m*(m\/(m\/(m*m**1)))\/m)**30)**24 assuming m is positive.\nAnswer: m**1440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -85587 < -85587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40557 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 27353027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9521240 rounded to the nearest 100000?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552696 to the power of 1\/2, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmiimsmmmsmn. Give prob of picking 1 n and 1 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 8*w + 2. Suppose 6*s = 4*s - 22. Let b be i(s). Find the common denominator of -53\/27 and 2 - (-2 + 2) - b\/(-132).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f + 5*h - 26, 4*f - 2*h = -34. Let z be (28\/8)\/f - (-3753)\/18. Calculate the greatest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2586 is divided by 172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396809.\nAnswer: 7, 56687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-91) + 4\/52\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414203320 (base 5) in base 10?\nAnswer: 1709835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 + 26*w + 9. Calculate the remainder when 112 is divided by r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**5\/5 + 73*d**3\/3 - 45*d + 93. Differentiate w(r) wrt r.\nAnswer: -8*r**3 + 146*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*o + 8*o - 2303, 3*s + 2295 = 3*o. Suppose 0 = -9*i - o + 3971. What are the prime factors of i?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -1. Let v(f) = f**3 + 7*f**2 + 6*f + 5. Let r be v(g). Solve -6*s + s - r*u - 5 = 0, -2*u - 14 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4684 + 4702. Let y be 36*(0 + (-18)\/(-4)). Suppose -8*s + 6*s = -y. Calculate the highest common factor of s and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 923235.4?\nAnswer: -1015558.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 99 + 160 = 17. Suppose -253 = -8*v - 45. Calculate the remainder when v is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(2 - 2301\/1146).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*d + 9, 6*m = 5*d + 7*m + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38)\/(-14) - 24\/(-84). Suppose q + 2*d = -8, g*q + 6 = -4*d - 10. Let t(i) = i**3 + i. What is t(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.4577 millilitres in litres?\nAnswer: 0.2134577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243975*y**3 + y - 122154*y**3 - 122239*y**3.\nAnswer: -418*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -375, -1, 0 in ascending order.\nAnswer: -375, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9175 is divided by 153?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4160 by 104.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -41*g**2 + 9*g + 10. Let n be w(-1). Let r be -20*(n\/25)\/4. Let x(p) = -p**3 + 7*p**2 + 9*p - 1. Calculate x(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(68) + 2 + sqrt(68) + -1 - ((sqrt(68) - sqrt(68)*-1) + 3)))*-4)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*s**4\/7 + 130*s**3\/7 - 229*s**2\/7 + 156*s\/7 - 36\/7.\nAnswer: -(s - 2)**2*(5*s - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24919.9 and -0.4.\nAnswer: -9967.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5)*i*i*i**3\/i)**(-2\/173))**32 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 = -6. Suppose -g*j = j - 64. Suppose 9 = -4*d + 25, -x - j = -d. Round x to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (2*((sqrt(125) + -1 - sqrt(125)) + 4) + 1 + 4*2*sqrt(125) + 1)**2.\nAnswer: 640*sqrt(5) + 8059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1747271539\/1220460 - -1\/61023. Let u = -1433 + j. What is the common denominator of ((-515)\/(-75))\/(12\/9) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-8)*-1*(-10)\/20*-4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(1\/6)*s*s*s**15\/s)**(1\/63) assuming s is positive.\nAnswer: s**(109\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032 (base 11) to base 6.\nAnswer: 10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2888346*u + 2888346*u - 41*u**2.\nAnswer: -41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4223 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 17851 - 11766 = -5*c, -3*g = -5*c + 29612. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/13)*m*m)\/m*m)\/m**(6\/5))\/(m**(-3)\/m*m*m**13*m) assuming m is positive.\nAnswer: m**(-668\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 94, 0, -0.6 in increasing order.\nAnswer: -5, -0.6, 0, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -109 in -1, 1\/5, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535886458 to the power of 1\/2, to the nearest integer?\nAnswer: 23149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -24932*u + 22. Let x(i) = -4986*i + 4. Calculate 2*k(j) - 11*x(j).\nAnswer: 4982*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + 411. Let k = l - 505.9999701. What is k rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2101, -2103, -2105, -2107, -2109, -2111?\n\"Answer: -2*q - 2099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 40 = 5*p. Suppose -15 = 3*w - p*w. Let u(y) = 6*y - w*y - y. Let l(m) = 4*m. Give u(l(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:06 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(612) - (sqrt(272) - 2*sqrt(272))))**2.\nAnswer: 60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 10\/177111 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103.628 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**0)**(3\/29))**(-4\/23))**(-49))**(-25) assuming a is positive.\nAnswer: a**(-14700\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -0.3, -4, 0.4, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1923, 14384, 48155, 113892, 222251, 383888?\n\"Answer: 1776*c**3 - c**2 + 32*c + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20440 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*x + 8 - 500*x - 410*x + 1328*x + 2*x**3 - 3.\nAnswer: 2*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 768183900 rounded to the nearest 1000000?\nAnswer: 768000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 170541373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8*v**3 - 26*v**3 - 2*v + 13*v**3 + 53*v**2 + 9*v**3 + 2 to the form k*v + s + i*v**2 + f*v**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 3515798?\nAnswer: -59\/3515798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -28*n - 70. Let o(c) = 9*c + 23. Let b(w) = 2*a(w) + 7*o(w). Calculate the remainder when b(15) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 7. Let s be d(9). Let w(u) = 5 + 5*u**s - 3*u - u**2 + u**2 + u**3. Does 10 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(18)\/sqrt(96))**2 + sqrt(243) + 1 + -1.\nAnswer: 27\/16 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 2*q**2 - q + 1. Let p be z(-2). Let s(y) be the first derivative of -y**2\/2 + 4*y - 293. Let h be s(p). Solve -h - 2 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 13607 + 12282 = -11707. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29458 divided by 5?\nAnswer: 29458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 269164743 divided by 306217?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -142296*c - 569175. Calculate x(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -131*q**6\/3 - 101*q**3 + 156. What is the third derivative of w(h) wrt h?\nAnswer: -15720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - j**4 + 2*j + (3*j + 241*j**2 - 11*j - 233*j**2)*(-2*j + 5*j - 5*j)*(4*j + j - j) - 3*j**2 + 2*j**2 + 2*j**2 + 2*j**4.\nAnswer: -63*j**4 + 64*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6*w = 8*w - 330, -4*w - 264 = 4*j. Is j less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -2) + 2 - -5. Suppose -2*a = -3*a + 3*s + 16, d*a - 8 = s. Let h(b) = 191*b**3 + b**2 - b. Is h(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7313 + 7313 - 9*w**2 + 2*w in the form r*w + u*w**2 + o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000096216 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0145 + 0.5485. Let r = 0.466 + a. Is -19.9 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*d - 18 = 0, 0 = -5*y + 9*y - 2*d + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 10. Let h(p) = 10*p**2. Give h(t(f)).\nAnswer: 10*f**4 - 200*f**2 + 1000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = -3*o. Let h = -1 + o. Calculate the lowest common multiple of 3 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1482)\/133*(-4578)\/1417.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29552 and 336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*k**2 + 8*k**2 - 10*k**2 to the form f*k**2 + t*k + v and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22625*t**4*v**3 - 878*t*v**3 - 332570880*v**3 wrt t.\nAnswer: 90500*t**3*v**3 - 878*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j. Suppose -53*a + 50*a - 186 = j. What is the tens digit of (21\/14)\/((-3)\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3a6?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*10*(-3)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 64. Let a be o(13). What is the highest common factor of 75 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r + 6. Give v(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 18*h**3 - 362*h**2 + 1470*h - 1800.\nAnswer: 2*(h - 5)*(h - 3)**2*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -3*m**6\/4 - m**5\/60 + m**3\/6 + 6*m**2. What are the prime factors of d(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2029140 plus -73775962?\nAnswer: -75805102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-138 - -124 - (-11 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z - 98*z - 3077 = 3873 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 10*l - 8. What is c(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142540 + 710373\/5. Let a = 466 + y. Find q, given that a*q**3 - 3*q**2 + 21\/5*q - 9\/5 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 - 12*b**2 + 5*b + 2. Let z be a(-9). Round z to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1171566 divided by 549\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 4) to base 16\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 2*g - 2*g)*((1515 + 1908 - 2771)*(-4 + 3 + 2) + 0 + 2 - 3) as p*g + j and give p.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*m + 5. Suppose -6 = -m*v - 2. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -0.4, -69, -4\/489 in descending order.\nAnswer: 0.7, -4\/489, -0.4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 32 = t, -3*t = g - 10 - 2. Let l be 1*2*15\/g. What is the remainder when l\/(-2 - (2 + -5)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131313203032 (base 4) to base 13\nAnswer: -1811a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4)*(-70)\/21. Let v(m) = 2*m**2 - 6*m - 5. What is v(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*u + 214*u - 9976*u**2 - 4407*u**2 - 636*u + 210*u as t*u**2 + p*u + k and give t.\nAnswer: -14383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026939 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1441 - 792. Suppose -c = -2*r - 63. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + 0.77. Let x = g - 0.6. Do x and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341.4 - 341.403635. What is p rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 5*s - 235 + 92, -4*t - 4*s + 132 = 0. Solve 268 - t = 48*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -9*w**7\/7 - 253*w**4\/12 + w**2 + 104. Find the second derivative of u(l) wrt l.\nAnswer: -3240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 401442024 and 1668702?\nAnswer: 2810094168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 4, 5 in descending order.\nAnswer: 5, 4, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5*w + 1. Let g be f(5). Suppose 0 = -n + 5*x + 44 + g, x - 87 = -3*n. What are the prime factors of ((-36)\/n)\/(3\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -609373.4 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 76*u - 4. Let x(o) = -18*o + 1. Let p(j) = 2*r(j) + 9*x(j). Let m(g) = -9*g + 1. Give 7*m(w) - 6*p(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 902\/3 - 20821\/60. Let s = -23\/20 + c. Let h = 101\/238 + -29\/34. Find the common denominator of h and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*216\/28*42\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235221?\nAnswer: 3, 7, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16fda1 (base 16) to base 9\nAnswer: -2745744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5. Let l(q) = 2*q**2 + q + 54. What is -2*f(d) + l(d)?\nAnswer: 2*d**2 + d + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173561*h**6 + 99597*h**2 wrt h?\nAnswer: 20827320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {r: 1, x: 4, j: 1, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -213d4 + -1?\nAnswer: -213d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:11 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*(-1 - 1 + 1)*(5*u - u - 2*u) + (9 - 13*u - 9)*(-u - 2*u + 2*u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 3\/(-6)*-34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (35 - 24) - 35?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 49. Suppose j + a = 10*j. Solve 0 = -2*n - 14 + j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*t + 8*t + 5, t + 1 = 0. Suppose -8 - 11 = f + 5*y, 5*y + 25 = q. Let u = -19 - -22. What is the remainder when f is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134637 by -3.\nAnswer: -44879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -308*o**5 - 148*o**4\/5 + 5292*o**3\/5 - 3788*o**2\/5 - 8*o\/5 + 192\/5 = 0.\nAnswer: -24\/11, -1\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**5*s*s**(-2\/5)\/s)\/(s*s**(-1\/2))**(27\/4) assuming s is positive.\nAnswer: s**(-311\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)*v**(-3))\/(v**(2\/5)\/(v**(3\/2)*v)))\/((v**(1\/4))**10*v**0*v**1) assuming v is positive.\nAnswer: v**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6765746, 6765747, 6765748, 6765749, 6765750, 6765751?\n\"Answer: d + 6765745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -13 + (-8 - -8) - -29028?\nAnswer: 5, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18685 or 18678?\nAnswer: 18678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h - m = -41, -5*m = 2*h - 25. Suppose 34*j = 29*j + h. Suppose 0 = j*s - 250 - 198. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11997 - 5*b + 4*b - 11998. Let v(y) = y. Give -k(p) + v(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from qdqxlqi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37840*f**3 + f**2 - 115091*f - 1 wrt f.\nAnswer: 227040*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1370083 * 0.2.\nAnswer: -274016.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (20\/(-15))\/(1 + (-236)\/234)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*z**3 + 5 + 5 - 5 wrt z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 11. Calculate q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/127?\nAnswer: -10\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.765483 meters to micrometers.\nAnswer: 5765483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*r + 12 - 6 = 0, -2*r - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*g = 26, 0*g + 5*g = -4*t + 29. Do 2\/2529 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159 + -153. Find the first derivative of -6*h**3 + 21*h + 48 - g*h - 13*h wrt h.\nAnswer: -18*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -555 >= -557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -3a25?\nAnswer: 3a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/17 - 864*j**2\/17 + 47202*j\/17 + 61312 = 0.\nAnswer: -479, -17, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 33. Let f be (-4)\/(-24) - 2620\/b. Let l = f - -227. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + a + 3*a = 150807, b = -2*a + 30159. Let l = 163 - b. Round l to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.069 + -2.069. Let b = 22 - 14.3. Let p = -8 + b. What is the biggest value in 0.3, c, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 431706 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -39*q**2 + 6*q + 4. Let l(n) = -116*n**2 + 17*n + 11. What is 4*l(f) - 11*u(f)?\nAnswer: -35*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.086 - -0.129. What is f rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -41, 0, 19\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8800000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h + 2*h)*(-h**2 + 5*h**2 - 2*h**2)*(-2 - 8 + 0).\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, 162, -555, 0 in decreasing order.\nAnswer: 162, 1\/13, 0, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-75))\/((6\/7)\/(690\/322))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40151 + -4?\nAnswer: -40155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*5\/(-105))\/(5 - 3) + 6486\/658?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/450)\/(6\/40).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, 2263 in decreasing order.\nAnswer: 2263, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.21, -1\/8, -0.16 in ascending order.\nAnswer: -0.16, -1\/8, 0.21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:01 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7241510?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22134 - 22135.2. Let b = -1.2 + 0.2. What is the nearest to -1\/2 in 0.4, b, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in -4.8, 0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 4. Let q be (-1 - 1)*(2 - 1). Let d be (-2 + 3\/6)*(-18 + 12). Let x(m) = -d - 5 - 4*m + 2*m + 5. Give q*x(y) + 5*j(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {r: 2, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 + 7*m**2 + 5*m - 4. Suppose 2*b + 3*a - 20 = -10, 2*a - 15 = -3*b. Let w(p) = 3*p**3 + 7*p**2 + 6*p - 5. What is b*y(n) - 4*w(n)?\nAnswer: 3*n**3 + 7*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000235983 rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*o - 305 = -299, -g - 6*o + 17 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -802\/7 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2211563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9 - 16. Suppose 4*d = -3*a + t*a + 24, 4 = a. Suppose -3*o = -d*o + 25. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5506 - -49555\/9. Which is the smallest value? (a) -0.1 (b) -1 (c) -2 (d) 99 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -201323?\nAnswer: -201313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8.12. Let y = 0.0451 + -6.6651. Let c = y + w. What is c rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 7 - 8. Suppose -3*z - 18 = f*s + 6, -2*s = -3*z - 14. What is the tens digit of (-136)\/z + 2\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**5*u**3 + 215*p**5*u + 16*p**2*u**3 + 27*p**2 wrt p.\nAnswer: 180*p**2*u**3 + 12900*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 14 = 3*v, -2*q + 12 = -4*v + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 6.1541117?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17319 + 23787. Calculate the highest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 - -2523. List the prime factors of d.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 159*m**2 - 18*m**2.\nAnswer: -174*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.07, 5, -0.4, -21, -2\/17 in decreasing order.\nAnswer: 5, 0.07, -2\/17, -0.4, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(17)*-1 + -1)**2 + sqrt(187)\/(sqrt(33)\/sqrt(3)) + (sqrt(17) - (sqrt(17) + 2)) + 0.\nAnswer: -77 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 432754776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = 2*u - 73. List the prime factors of (2\/4)\/((-7)\/u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 2*u - 40. Calculate the remainder when 27 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 6*d**4 + 4*d**4)*(-5*d + 3*d + d).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose -3*x = 5*g + 10, 0 = -5*x - 2*g - 2 - t. Let s = -0.25 + -0.15. Which is the closest to x? (a) 2\/7 (b) s (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 34 (c) 203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 25*a**2 + 60*a + 33. What is g(-27)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 406 - 3.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12 and 59\/6199890.\nAnswer: 12399780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28, 64, 104, 148?\n\"Answer: 2*k**2 + 30*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 15 = -k. Suppose 3*t + 4*c = 4*t - 35, 0 = -k*t - c + 112. Suppose x = 5*q + t, -4*x = -2*q - q - 160. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 12*d**2 - d + 12. Let z be x(6). List the prime factors of 2\/(834\/z + 4).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 766472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*l - 3*l = -10, -3*y = 2*l - 13. Which is bigger: 395 or y?\nAnswer: 395","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -37. Let c(u) = -10 - h*u**3 + 5*u**2 + 12*u + 20*u**3 - 9*u**3. What are the prime factors of c(6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*j - 7*j + j)*(2*j**2 + 4*j**2 - 5*j**2)*(0 + 3 - 4)*(1 - 3 + 0) to the form n*j + z + y*j**3 + m*j**2 and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -191 (c) 103 (d) 0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62.66 - 0.34. Let g = -63.000162 - o. Round g to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 17*d**2 - 37*d - 632. What is k(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11764 is divided by 129?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.1. Let h = -11 - -10.6. Let z = 10 - 5. Which is the biggest value? (a) h (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/12 - (-2 + 441\/252). Let q be (-10)\/(-6) + 3\/(-18). What is the nearest to 0 in w, 0.4, q, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2006204 and 20062040.\nAnswer: 20062040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - m + 3 = 0, 45*b - 19*b - 157 = -2*m - 7 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.7 (b) 1975 (c) -1.7 (d) -14 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6055, -24215, -54473, -96823, -151259, -217775, -296365, -387023?\n\"Answer: t**3 - 6055*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 20*a**2 - 1337*a + 353. Let c be p(-48). Suppose 5*h + 17 = -3*d + d, 0 = d + 4*h + 16. Solve 1 - c = d*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least 122160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.173 - -0.17851. Round i to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o - 3*o)*(-25*o - 5*o - 3*o).\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-1467)*(-14)\/((-70)\/(-15))*12\/18.\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -44*l - 7 + 220. Solve 0 = -l*n - 0*n, -4*d - 4*n - n = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = 4*o, y + 3*y - o - 19 = 0. What is the remainder when 23 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*l = -134963 + 134963 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.99 times 23.2?\nAnswer: -162.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 172 + 568 = 0. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.94 - 0.9271. What is n rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 11, 1, 565, 5, 2 in decreasing order.\nAnswer: 565, 143, 11, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*z**6 + 2*z**5 + 496*z**2 wrt z?\nAnswer: -1080*z**3 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(70)*-1 - sqrt(70) - sqrt(70) - sqrt(70))*-5)\/(-6*-2*sqrt(10)))**2 - (sqrt(49)\/sqrt(7) + -1 - -5*(0 + sqrt(7) + sqrt(7))**2)).\nAnswer: -5380\/9 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-110)\/(-8)*1356\/565\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 + -751\/7. Let z be 18 + 0\/3 + -1. Suppose 2*v - 7 + z = 0. Sort -3, j, v in increasing order.\nAnswer: v, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 36*o + 15*o + 40 - 5*o. What is the hundreds digit of v(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(12) - sqrt(2))*6)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2931, -3, -577 in descending order.\nAnswer: 2931, -3, -577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-1 - 237\/78). Let d = 345 - 346. What is the closest to 2\/7 in d, 1\/8, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -281481, -281489, -281505, -281529, -281561, -281601, -281649?\n\"Answer: -4*z**2 + 4*z - 281481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4951944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2373735.\nAnswer: 3, 5, 7, 13, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -5. Let o(t) = -2*t**r - 6 + 1 - 9*t + 3*t**2. Let f be o(10). Solve 4*g = f*p + 20, -2*g + 10 = 5*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145144000 to the nearest one million.\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1256, 2510, 3762, 5012, 6260, 7506, 8750?\n\"Answer: -s**2 + 1257*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Let l(x) = -x**2 - x + 4. What is the units digit of l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1012 (base 3) to base 5\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1)*(-3 - 1 + 6)*(-2052*j**2 - 1690*j**2 + 4307*j**2).\nAnswer: -1130*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 0*b + 2*b)*(3 - 4 + 3)*(-10 + 0 + 0).\nAnswer: -140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2144576 litres?\nAnswer: 214.4576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3736268, 3736267, 3736266?\nAnswer: 3736265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111111010110111111000 (base 2) in base 16?\nAnswer: 7fadf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/33 - -1\/11. Which is the second biggest value? (a) -0.4 (b) y (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*z + 107. Let l = z - 15. Suppose l*j - 4*j = 0. Solve j*w + 4 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 90 = -4*y, -2*y + 3*y + 19 = 2*x. Let v = -33 - y. Let o be (v\/4)\/(1\/(-2)). Solve -2*p = -5*w - 3*p - 29, o*w = 5*p - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 80 = 4*x + 10, 5*m = x + 120. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -297, -596, -897, -1200, -1505?\n\"Answer: -m**2 - 296*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27294176 and 288.\nAnswer: 245647584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(228)*2 - sqrt(228)) + sqrt(228)*-1*-2)\/((3*(sqrt(84) + sqrt(84)*-2 + sqrt(84) - sqrt(84)) - sqrt(84))\/sqrt(7)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.0036 times -3?\nAnswer: -240.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.6 - 0.6. Let t = 0.25 - -0.15. Which is the biggest value? (a) t (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.5, 0.4, -64\/5, 6, 1?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4\/3 - i**3\/6 + 2*i - 3. Let t(p) be the first derivative of w(p). Find the second derivative of t(g) wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 4*j**2 - 8*j + 1. Let v be m(-3). Let w = 2 + v. What is the greatest common factor of w and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 360 = 9*z + y, 2*z = 3*y + 233. Which is the smallest value? (a) -5 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 10*c + 18. Let m be s(-8). Let d be (3\/(-15)*0)\/m. Suppose d = -a - j + 81, -3*j = -3*a - 0*j + 213. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-5)\/(-20)) - -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 - -1 - 6 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -209458 divided by -5?\nAnswer: 209458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l*l)**(3\/28)*(l**(-2\/3))**(-26) assuming l is positive.\nAnswer: l**(737\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 45988 = -6451. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.299, -2\/9, 7, -3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1391.24 and 0.063.\nAnswer: 87.64812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 410117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 21 = -30. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 0.082, -22, 153, 1?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7843532 and 1108?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c + 2. Let x(b) = -10*b**2. Give j(x(o)).\nAnswer: 40*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 5636*g**2 + 4*g - 5636.\nAnswer: -4*(g - 1409)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 4, -1\/20, -0.21, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 - 1. Let f(r) = -1 - 6*r + 3 + 1 + 5*r. Let q be f(0). Let v(j) = -2*j**3 - 1. Give q*n(x) - 4*v(x).\nAnswer: -x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*h**2*p**3*z - 3*h**2*z - 8*h*p**3*z - 3*h*p**3 - 5290*h*p**2*z - 3*h*p*z wrt p.\nAnswer: 78*h**2*z - 48*h*z - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:21 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7402287mg in nanograms?\nAnswer: 740228.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 38 - 134 = 0. Solve -i = -5*m + 7*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017549955 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/56798 and 93\/40570.\nAnswer: 283990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 13. Let x = j + -6. Solve 5*b - x*n = 26 - 11, 4*b - 5*n = 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -3*y**5\/40 - 2*y**4\/3 - 7*y**3\/3 - 4*y**2 - 231*y - 1. Factor c(l).\nAnswer: -(l + 2)**2*(3*l + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4094988 is divided by 321?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -0.9. What is the nearest to -2 in -1, -4\/3, n?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12409 - 12407. Solve 0 = 3*y - g - 19 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3742219769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 2. Let h be 12\/(-3)*27\/12. Let i = 13 + h. Calculate q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 5. Let p be d(-5). Suppose 0 = -p*o + 155 - 25. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-189)\/(-70))\/(42\/4970))*3?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -3734.003?\nAnswer: -3734.003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 106812 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(10\/9)\/u)**39)**(-2))**28 assuming u is positive.\nAnswer: u**(-728\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 0 + 4)\/(-2). Suppose 5*n + 3*z - 11 = r, -4*z = -3*n - 2*z + 18. Solve -5*j + 37 = n*a, 0*a - 4*a = j - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4783?\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t - 8. Let r(a) = -a - 5. Let h be r(t). Let l be -16 - -12 - (-82)\/20. Is h not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 18 = 3*v + 2*z, 0 = 2*v - 2*z + 4. Let w(r) = 2*r**3 + 56*r**2 + 61*r + 190. Let m be w(-27). Solve j + u + 7 = m, 3*u = 5*j - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10078 or -2\/167?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107629 is divided by 11933?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by -113\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 2. Let p be z(6). Put 4, p, 5 in ascending order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 (base 6) in base 4?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*o - 2, -2*o + 14 = -3*s + 40. Find the second derivative of p - s*p - 5*p**3 + 4*p**3 - 5*p wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(160\/(-296)))\/(28\/(-2128)*19)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1526, -6064, -13628, -24218, -37834, -54476, -74144?\n\"Answer: -1513*o**2 + o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 29574576\/5 + 708\/5*t**2 - 250632\/5*t - 2\/15*t**3 = 0. What is t?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 144001042?\nAnswer: 144001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(8\/5)*k*k**(1\/27))\/(k**(-2)\/k*k)**(-1\/64) assuming k is positive.\nAnswer: k**(11257\/4320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 18 = -3*b, -4*z - 2 = 5*b - 14. Let g be -1*(-3 + 3) + 0. Suppose 0 = -2*s + 6, g = 2*h + b*s - 168 - 386. List the prime factors of h.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81.6 + -82. Let h(r) = r - 4. Let m be h(6). Put m, -3, 5, u in ascending order.\nAnswer: -3, u, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16232300 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2790*d*p + 7532*d - 7 with respect to p.\nAnswer: 2790*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + -6 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**3 + 15*l**3 + l + l - 5*l**2 - 6*l - 5. Let b(y) = y**2 + 1. What is -5*b(f) - j(f)?\nAnswer: -2*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*y - 7. Find h such that -4*h**4 + y*h**5 - h**5 - 3*h**5 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (12 + (0 - 15) - -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(175) + 0 - sqrt(175)) + sqrt(175) + (-1 + sqrt(1008))*5)**2 - (sqrt(21) + -1*sqrt(84))\/(sqrt(300)*1).\nAnswer: -4999*sqrt(7)\/10 + 17525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 418*w + 334*w - 497*w + (-5*w + 0*w + w)*(-1 - 1 + 4).\nAnswer: 247*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 74 = -2*o. Suppose -2*m = 3*p - 56, 4*p - o = -m + 6*m. Calculate the greatest common factor of p and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 + 2*x - 3. Let n = 14 + -19. Let z(r) = 3*r**2 - r + 2. Give n*z(q) - 4*l(q).\nAnswer: q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.454 + -0.064. Let o = k - 0.09. What is the nearest to -2\/3 in 0.1, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**9*h*(h**(-2)*h)\/h*h assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5923169 divided by 11\nAnswer: -5923169\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:54 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.090945? (a) -2\/9 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - y - 29 = 0, -4*k - 25 = 2*y - 3. Let x(u) = 3*u**2 + 3*u - 8. Let l(j) = -4*j**2 - 2*j + 8. Let a(s) = -2*l(s) - 3*x(s). Calculate a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - y + 7. Let z be t(-3). Let p be (z - 18)*4\/(-4). Suppose -4*c = 18 - 358. Calculate the greatest common factor of c and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.23, -0.5, 7, -1.234?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1031\/3 + 5149\/15. Which is the second smallest value? (a) 0.5 (b) w (c) -72 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 25*p**2 - 46*p - 65. Let n(u) = 20*u**2 - 45*u - 57. Calculate -8*n(c) + 7*o(c).\nAnswer: 15*c**2 + 38*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1946 - -2 - 1*2. Let u = d - -46625\/24. Calculate the common denominator of u and 10\/(-24)*(-5 + 37\/(-10)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -11. Which is the second smallest value? (a) x (b) -0.2 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-6)*126\/70)\/((-3)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2838.5 and 0.4.\nAnswer: 1135.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 0 + (-38 - -40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdjzzjvzssjsssddxj. What is prob of sequence dd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -85*n - 17. Let g = 23 - 14. Let j be b(g). What is j rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.46 in 0.041335, 2\/15, 0.4, -3?\nAnswer: 0.041335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 67*r - 269\/4.\nAnswer: (r - 269)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 19 = -33. Solve -s*z - 3 + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.041 - 0.981. Let n = z - -0.54. Let b = 3.6 - n. What is the second biggest value in -0.2, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6, -1 = -l - 5*y - 11. Put 0, -3, l in increasing order.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -o - o + 4, 56*o = 3*b + 72*o - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26369890 and 1602590.\nAnswer: 290068790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 6, 0, -1\/2 in increasing order.\nAnswer: -1\/2, 0, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 4*z - k, -3*z + 2*k - 8394 = -8430 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = -40*j - 14*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 17*m - 12*m. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3771 or -3787?\nAnswer: -3771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8263 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -5*r**5\/4 - 35*r**4\/12 - 5*r**3\/3 + 33*r. Solve p(c) = 0 for c.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(500)*-3 + 5 + -2 + 1)*-3 + 5)**2.\nAnswer: 2520*sqrt(5) + 162047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-15)*-29 + 2. Are 0 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 3*n. Let l be q(-2). Let g be -13 + l - (4 + -3). Let j be ((-9)\/g - 2)*-4. Solve -2*m + 6*m - j*c = -24, 6 = -2*m + c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 0.988405\nAnswer: -48.431845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9, -3.01, 50?\nAnswer: -3.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1210.673 - 1210.4. What is the third smallest value in t, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2692317, -2692296, -2692267, -2692224, -2692161?\n\"Answer: z**3 - 2*z**2 + 20*z - 2692336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + f = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5 + 4*j**5 + 4*j**3 + 2*j**2 + j**5 + 6*j**4 + 2*j**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16325 (base 7) to base 6\nAnswer: -33225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 9. Let d = 5 + a. Suppose 45 = -9*b + d*b. What is the least common multiple of 1 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 2*b - 2. Let f be o(0). Sort 5, 2\/5, f in decreasing order.\nAnswer: 5, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -33. Let n = x + -78. Let d = -55 - n. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + ((5 + (sqrt(684) - (-1 + -1*sqrt(684) - sqrt(684))))*2)**2).\nAnswer: -24766 - 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -591, -1187, -1791, -2409, -3047, -3711?\n\"Answer: -v**3 + 2*v**2 - 595*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i**5 + 61191*i**4 - 97935*i**3 + 36729*i**2 = 0. Calculate i.\nAnswer: -4081, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14821 - -a?\nAnswer: -14813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - i**2 + i. Let v(u) = 16*u**3 - 5*u**2 + 5*u. Give 5*q(z) - v(z).\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, u: 11}. Give prob of picking 1 y and 2 u.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 5, 73 in decreasing order.\nAnswer: 73, 68, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -7*u**5\/60 - 217*u**3\/3 - 156. Let w(h) be the third derivative of d(h). Let m(n) = -37*n. Give w(m(i)).\nAnswer: 518*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339130 and 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzaagz. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*b + 662*b + 38348*b**3 - 38256*b**3.\nAnswer: 92*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.6 - 12.2. Which is the fourth biggest value? (a) 1 (b) 1\/3 (c) k (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(-5 + (sqrt(325)*-3 - sqrt(325)) + sqrt(325)) - (sqrt(156)\/(sqrt(54) + sqrt(6)) + sqrt(26))\/((sqrt(24)\/sqrt(2))\/sqrt(6))).\nAnswer: -1775*sqrt(13)\/4 - 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7439533 kilometers in nanometers?\nAnswer: 743953300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.011 - 0.011. Let u = 24.7 - o. Which is the biggest value? (a) 0 (b) u (c) 2\/21 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3251201 divided by 44537\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 4*v**2 - 2411*v + 2*v**2.\nAnswer: 8*v**2 - 2411*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 27*m - 9. Let f(i) = -i + 30. Let a be f(12). Let c be n(a). Suppose 0*s - c = -9*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 + 76. What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1143973150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -124232 (base 5) in base 9?\nAnswer: -6701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-744)\/(-72))*(40\/(-12))\/1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - p - 7, 4*h + h = p + 11. Suppose 4*k + 0*w - 9 = w, -24 = -4*k - 4*w. Put -5, 0, k, h in ascending order.\nAnswer: -5, 0, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 23*k**3 - 2*k**2 + 4*k. Let a be f(2). Let m = 314 - a. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 1262 = 992 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b911 - -2?\nAnswer: -b90f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-85)*(10\/4)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*c + 6 - 3, 8*c = u - 3. Let -2\/11*s**4 + 0 + 12\/11*s**u - 10\/11*s**2 + 0*s = 0. What is s?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5742 (base 13) in base 11?\nAnswer: 9201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 35 = -15*d, 2*d + 4*r + 79 = -3*d + 56 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18748a - -1?\nAnswer: -187489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/11))*b\/(b\/b**(-2\/15))*b*b)**(-31) assuming b is positive.\nAnswer: b**(-9083\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ssysssssssyyssyyys?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2. Let c(m) = 17*m - 5. Let v = -7532 - -7527. Let w(o) = -52*o + 16. Let l be 2 + -20 + 4\/2. Let x(y) = l*c(y) + v*w(y). Determine a(x(q)).\nAnswer: 288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 408 + 2298 = 0. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36836 + 0*x**2 - 18418 - 3*x**2 - 18422.\nAnswer: -3*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 422 + -423. What is the nearest to -0.1 in -2, h, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvy. What is prob of picking 1 f and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-48)*28*(118\/(-14) + 9). What is the third smallest value in n, 0.3, 98\/15?\nAnswer: 98\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 5*l**2 + 7*l + 5. What is u(7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*t + 105, 5*q - 5*t + 129 = 8*q. Let j be q\/10*(-15)\/9. Which is smaller: j or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 693, 3, -0.5, -21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 + 236*i**4 + 1300*i**3 - 42060*i**2 - 132984*i + 722304 = 0 for i.\nAnswer: -48, -19, -6, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*d = -488, -2*d - 303 = 3*a - 3*d. Let j be (-2)\/8 - a\/16. Do 6 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 + -4799690.\nAnswer: -4799690.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/231460 and 91\/115730.\nAnswer: 231460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 24*l - 342 = 0. Calculate the remainder when -4*8\/12*-78 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let i(b) = -11314*b + 2. Give z(i(g)).\nAnswer: 11314*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 8:04 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 + -415 + 52 + 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/13, 0.447, 0.1, -3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208815 divided by 19?\nAnswer: 208815\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(5\/(-30)). Let f be 1 - (65 + (-4)\/k). Let j = -38 - f. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269.0010129 + -269. Round z to five dps.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxq when three letters picked without replacement from {v: 10, x: 4, q: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995205?\nAnswer: 3, 5, 66347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/111 in 0.1, 2, -5, 0.03, -112, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.68069 plus -1?\nAnswer: 3.68069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/60 + 7*a**4\/24 + 2*a**2. Let n be s(-6). Let f = 0.38 - -0.62. Is n <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 14*o + 2. Determine x(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2743 = -4*s - 3*j, -5*s - 7*j + 3395 = -10*j. Is 32 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88677920+-304.47\nAnswer: -88678224.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203280, -406562, -609834, -813090, -1016324?\nAnswer: -1219530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194986 - -210040. Factor 15*g**2 - f*g + 405026*g + 5*g**3 + 6 - 26.\nAnswer: 5*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*s - 5*s - 546, -5*s = 4*z + 442. Let d = z + 120. Solve -d = -p + 2*p - 5*o, 2*o - 10 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 8:22 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 + 2*m + 12. Let y(r) = -r**2 + 2. Let z(j) = o(j) - 6*y(j). Solve z(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -612 + 616. Let i(t) be the first derivative of 4*t**2 + 0*t + 8\/3*t**3 - 15\/2*t**x - 1. Solve i(z) = 0.\nAnswer: -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4551 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 21 + 4 + 228661*z.\nAnswer: 228661*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.108066092 - 1.1081. What is o rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -388 - -383. Let i(p) = -2*p**2 - 7*p + 2. Give i(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4\/(-55))\/((345\/(-138))\/((-50)\/(-4))).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*u + 7*u**2 - 29 - 7*u - 5*u wrt u?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 7) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171637720.\nAnswer: 2, 5, 4290943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002161 to 7 decimal places.\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 421*g**3 - 243*g**2 + g + 7113599?\nAnswer: 1263*g**2 - 486*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxcrs. Give prob of picking 1 x, 1 s, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 + 199*m**2 + 156 - 213*m**2.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 32*i + 846 = -33*i, 0 = 5*i + 5. Calculate the remainder when z is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 12, 36, 64, 96?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261855, -261854, -261853, -261852?\nAnswer: -261851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**4 - 590*b**3 - 6875*b**2 - 5130*b + 12600 = 0. Calculate b.\nAnswer: -105, -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -5 - (34 + (-14 - 8))) + -7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 + 5*i - 2. Let u be k(3). Let d be -1*(u - (-6)\/2). Let s(x) = 3 + 103*x - 307*x + 98*x + 103*x. Calculate s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32217563 is divided by 8054378.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**6\/30 - 563*k**5\/20 - 727*k**4\/3 - 4*k - 11. Find the third derivative of c(j) wrt j.\nAnswer: -24*j - 3378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*j, -2*i = 5*j - j. Suppose -2*g = -i - 2. Let p(s) = s - 2 - g + 0*s + 1. Determine p(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52346 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let n(s) be the third derivative of -7*s**5\/2 - 963*s**2 + 2*s. Give n(c(i)).\nAnswer: -210*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 710*w**3 + 7568*w**2.\nAnswer: 2*w**2*(w + 11)*(w + 344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 1 = h, -4*h - 16 = -8*f + 7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 831\/10 - 83. Let d be (-12)\/(-8)*(0 + 2). Which is the second smallest value? (a) -2\/9 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 2*m**3 - 9*m**3 + 13*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjmenmfm. What is prob of sequence jme?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/2, -0.5, 3\/5?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 - 64)) + (160 - (-48 - -219))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66 or 8844?\nAnswer: 8844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = v + 21, 5 = -v - 2346*u + 2347*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u*u\/(u\/(((u\/u**(-1\/4))\/u)\/u)))\/u)\/u)\/u)**(10\/7)*u**7*u*u\/u**(-5) assuming u is positive.\nAnswer: u**(181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:47 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 1. Let x(t) = t**2 - 5*t + 3. Let m(k) = a(k) - x(k). Calculate m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.5, -4\/7, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 85 = -5*v - 29, -5*a = -5. Suppose 0 = x - 0*x - v. Let l be 7\/(-15) + x\/18. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-5 - -6) - (1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-3\/7)*g*g**(-17))\/(g**(-14)\/g*g\/(g**(4\/5)\/g)) assuming g is positive.\nAnswer: g**(-22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1 + -0.1. Let t be (-1)\/((45\/(-10))\/((-2)\/(-4))). Put -3, t, j in decreasing order.\nAnswer: j, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 6 - 8 - 3*h**3 + 7 - 3 to the form s + w*h**3 + r*h**2 + l*h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 5) to base 8.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-25)\/(-5) + 1. Let x be (-9)\/(((-12)\/16)\/1). Suppose -x*i = -d*i - 275. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 10*h + 13. Determine j(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 4*l - 8. Let m be y(-6). Which is the second biggest value? (a) -1\/10 (b) m (c) 5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 23, 5, -49, -151, -313, -547, -865?\n\"Answer: -2*l**3 + 20*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168442 or -168443?\nAnswer: -168442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 + -269. Is 8\/295 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g + 3. Suppose 0 = -4*n - 12 - 20. Let a be m(n). Let y = a + 95. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(-2)*o))\/o**(-2))**(-9\/8)*((o**(2\/11)\/o*o*o)\/(o**(-5)\/o))**(-1\/4) assuming o is positive.\nAnswer: o**(-277\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 + g - 92273 - g.\nAnswer: -16*g**2 - 92273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuu when three letters picked without replacement from uijtvuuftijuuii.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y. Let l(c) = 2*c + 3. Let g(w) = -7*w - 11. Let x(t) = -6*g(t) - 22*l(t). Give i(x(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(2*-1) - (36 + -32). What is the hundreds digit of (80 - (-8 + f))*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8238408, -2, -5?\nAnswer: -8238408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a - 32. Let k(w) = w + 1. Let n be k(3). Let u(v) = -v**2 - 5*v + 1. Let d be u(-4). Solve -d*x + a + n = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.805 take away 438?\nAnswer: -426.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 467\/5 + -94. Suppose 5*y + 5*a = -10, -5*a + 21 = -2*y - 11. Let h be ((-14)\/y - 2)\/3. Sort f, -1, h, -0.1 in decreasing order.\nAnswer: h, -0.1, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010000011 - 1?\nAnswer: -21010000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -13, -32, -49, -58, -53?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3080.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104167\/45 - 2315. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3340*y**4 + 29*y**2 + 4*y**6 - 3340*y**4 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + -11 + 300\/80. Let n(k) be the second derivative of -27\/28*k**7 + 0*k**2 + 5\/12*k**3 + 0 + b*k**4 + 27\/10*k**5 - 20*k + 9\/10*k**6. Factor n(j).\nAnswer: -j*(3*j - 5)*(3*j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -3822984?\nAnswer: -3822988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 32 = -9*k - 10*k, -8*w + 5*k - 50 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -58. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*s + 10 - 33 + 44*s.\nAnswer: -597*s - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 14. Let o be v(-12). Let x(b) = -24*b + 9. Is x(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -544 or -351?\nAnswer: -544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 26 = -5*p + 74, 4*h - 102 = -5*p. Let j = 245 - 188. Calculate the remainder when j is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(11) + 1 + sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(176) + 2 - (5*-3*(sqrt(539) + 2 + sqrt(539)))**2.\nAnswer: -486002 - 12593*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Sort z, -4, 0, -2 in increasing order.\nAnswer: z, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/19 + 2292*i**2\/19 + 590400*i\/19 - 38880000\/19.\nAnswer: 2*(i - 54)*(i + 600)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from ncqcqcccqncqcccq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 - (-4 - -1). Suppose 4*m = 3*m + 10. Calculate the greatest common factor of k and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4580072 (base 11) to base 15\nAnswer: a82e3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 481902095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7\/4, 3147, 0.1, 3, -854, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-10) - 3) + (-1)\/(-45)*27.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*l - 76, 2*m - 593*l = -592*l + 161. Solve -m*c - 2*c + 328 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + d - 1)*(-1 + 2 - 3) + d + 3*d - 3*d)*(-4*d**2 + d**2 + d**2).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:15 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*x - 6*x - 5*j, 0 = 3*x + 3*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + 2 + sqrt(144)\/sqrt(12).\nAnswer: 2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15791939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - z + 2*z**3 + 43 + 3*z**2 to the form n + y*z**2 + h*z + i*z**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-312)\/18 - (-2)\/6. Let o = -11 - i. Suppose -3*n = -5*n - o. Let s(j) = j**3 + 2*j**2 + 1. Calculate s(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hczchzztzzwhhlcz. What is prob of picking 3 z and 1 h?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -12031?\nAnswer: -12041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1247 - -1254. Solve w + 14 = -7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:16 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 78 - 78. Suppose -4*k - d = -8*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 311362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/36 and 77\/2*(-31)\/186.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 206, 200, 204, 218, 242, 276?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*h + 73 = 950, -4*h + 676 = 4*s. Let r(q) = -q**3 + 18*q**2 + 2*q - 7. Calculate the remainder when s is divided by r(18).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -187?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/28154143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:01 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-5 - -3 - -1)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 40*z**3 - z**2 + 75*z + 48. Is b(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -123*y + 10. Let g = 33 - 40. Is b(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*h = -124*h + 465. List the prime factors of h.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/4 (b) -1\/4 (c) 1\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b*t**2 - 8*b*t - 3*b*z - 11*b + 9*t**2*z + 8*z wrt t.\nAnswer: -6*b*t - 8*b + 18*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 3:13 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 6*t + 3*n - 61, -5*t + 54 = n. Let v(x) = -41*x**3 + 11*x**2 - 6. Let g(f) = 8*f**3 - 2*f**2 + 1. Give t*g(r) + 2*v(r).\nAnswer: 6*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 273600?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 equal to -2363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24*-9)\/8)\/(-26 + 23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca + -1?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i. Let q(p) = -p - 9. Let z be q(-8). Let f(g) = 5*g**2 + 9*g + 3. Let s(v) = z*f(v) + 6*r(v). Calculate s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*k + 27*k + 23*k + 3*k + 2*k - 4*k + (2 - 1 + 0 - 2*k)*(1 + 3 - 1) to u + g*k and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 82904805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 14) to base 15\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -3\/2*z**2 + 0*z - 216. Let q(t) = -12*t. Calculate q(d(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -143052?\nAnswer: -143060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 406*o**2 + 4*o + 4. Let p be v(-2). Suppose p - 380 = 4*u. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 - -157. Is z greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6*j + 16. Suppose -10*q = -j*q. Solve y = -v - 6, -y + q*y - 18 = 5*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 14. Suppose 0 = -n - 5, 2*o - 3*n + 2*n - 13 = 0. Let p be f(o). Let i be 72\/(-81)*(-69)\/(-24)*p. Is 15 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(((j**(4\/3)*j)\/j)\/j*j)\/j)\/j**(2\/31)*j**(-3\/14)\/j**(-4) assuming j is positive.\nAnswer: j**(6581\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 = 6. Suppose -2*r + 2 = p*x - 4*x, 0 = -5*r - 3*x + 16. Suppose r*l - 6 = 64. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3.3608\nAnswer: 6.7216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -106, -39, 66, 215, 414, 669?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34524 and 7405398.\nAnswer: 14810796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7468203 milligrams?\nAnswer: 746820.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98250399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 12, y: 2, x: 5}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*100\/125. Suppose 2*a + 0*x + 4*x + 30 = 0, x - 60 = 4*a. Let m be 27\/a - (-5)\/(-25). Put 1\/3, m, f, 5 in descending order.\nAnswer: 5, 1\/3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 7*c**2 + c + 13. Give w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28005 + -27989. Solve -20*z + m = 4*n - 17*z, -2*n = -z - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-17)*g\/g**(-2\/13))\/(g**(3\/16)\/(g\/g**(1\/2))) assuming g is positive.\nAnswer: g**(-3231\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 + 3)\/((-6)\/36). Is (d\/18)\/4*16446\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.304132 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50868 and 241623?\nAnswer: 966492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/79 in 315, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 952, 5, -5, 1, -4, 102 in decreasing order.\nAnswer: 952, 102, 5, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -3*z + 26, 2*v - z - 5*z = -3*z + 38 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 14*q + 3. Which is the closest to -2\/3? (a) 4 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -4*l - 171 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.953 + 1.07. Let n = 0.1079 - g. What is n rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7000754266 - 3?\nAnswer: 7000754263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.230803 * -0.1\nAnswer: -0.0230803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1*u)**23*(u\/(u\/u**(-3)*u*u))\/(u\/(u**6*u)) assuming u is positive.\nAnswer: u**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 8 = -11*d. Solve -d*x + 2*x = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*12\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98)*-1*-3 - sqrt(98)) + 1 + -1 + sqrt(98))*-6)**2.\nAnswer: 31752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -50*t**2 - 3*t. Let o be m(-4). Let j be 6\/21 - o\/(-14). Let x = j + 86. Calculate the smallest common multiple of 18 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**3 - 10*h**3 - 7*h**3 + 16*h**2 + 7*h**3 - 8*h**2.\nAnswer: -26*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 563399*w - 563212*w - 9350 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, -0.2, 14, 0.078, 0.2, 1, 25?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4 = -4*l + 6*y, -5*l - 2*y = -16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Expand (-81 + 11 + 2)*(v + 0 + 0 - 1).\nAnswer: -68*v + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -295\/251259?\nAnswer: -295\/251259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91689, 89967, 87097, 83079?\nAnswer: 77913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:26 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w**7)\/(w**(2\/5)\/(w*w**(-1\/5)*w*w*w))*((w\/(w**6\/w))\/(w**(3\/8)*w))\/((w\/w**(-7)*w)\/(w**3\/w)) assuming w is positive.\nAnswer: w**(-439\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (444\/2331)\/((-20)\/45).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + 2*c + 1 to o*c + p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10385553983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*z - 5. Let i(a) = -2*a**3 + 1. Let n = 10 - 4. Let c(x) = x**3 + x**2 + x. Let r(q) = n*c(q) + z*i(q). Solve r(j) = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-1*2)\/((-10)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(99) + -6*2*sqrt(99)) - ((sqrt(99)*-1)**2 + 1 + -4 + sqrt(99) + (sqrt(99) - (-2 + sqrt(99)))).\nAnswer: -135*sqrt(11) - 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27477, -55108, -82739?\n\"Answer: -27631*w + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4027, 8085, 12143, 16201, 20259, 24317?\nAnswer: 28375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 41. Put -1\/7, 4\/5, c in descending order.\nAnswer: c, 4\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 7. Let b = -326 + 329. Determine q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642*p + 1470*p + 18775*p + 206 - 206.\nAnswer: 21887*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810705961 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {z: 10, o: 1, s: 2, w: 1, j: 2, p: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 35 = 5*q - 12, 2*q - 102 = -4*d. What is the remainder when 169 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/9 (c) -3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*f**2 + 43*f**4 + 6*f**4 - 14*f**2 + (6 + 0 - 3)*(-2*f**4 - 2*f**4 + 6*f**4).\nAnswer: 55*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:34 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -561a?\nAnswer: -5616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43537988?\nAnswer: 2, 13, 23, 59, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c - 0*c. Let u(a) be the third derivative of -a**5\/120 + a**4\/12 + a**3\/6 - 3*a**2. Let k(h) be the first derivative of u(h). Give k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -224d6baa + 5?\nAnswer: -224d6ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 135*s - 8*s**2 + 356*s - 138*s - 83*s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 4ff?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b740b3 + -160?\nAnswer: b73b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211042 - 401?\nAnswer: -211443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -933\/40 + 151\/5. Let f = 2279 - 59289\/26. What is the common denominator of f and l?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 - 4*s**4 - 1 + s**2 + 3*s**2 - s**2 + s**4 + 4*s**4 in the form f + c*s**4 + p*s**2 + h*s**3 + y*s and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -62*c**3 - 26*c**2. Let l(x) = -21*x**3 - 8*x**2. Determine -3*g(t) + 10*l(t).\nAnswer: -24*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18*h + 364. Calculate o(-24).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -4, -2 in increasing order.\nAnswer: -166, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17983 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132 + 130. Is 37 a factor of (x - 684)*(-7)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -10*g + 30. Suppose -d = g*d - 528. Does 48 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -51147*x - 933. What are the prime factors of l(-1)?\nAnswer: 2, 3, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -876, -5, 3 in descending order.\nAnswer: 8, 3, -5, -876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 891905477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmpmmpmpmmmmmmmp. What is prob of sequence mpm?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**8\/3360 + h**7\/1260 + h**4\/12 - 2*h**2. Let t(o) be the second derivative of u(o). Determine l, given that t(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 3*v. Let r be m(-2). Suppose 0 = r*u - 8 - 164. Let n = -84 + u. Solve -3*b = -5*z + 6 + 2, n*b = -4*z + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*s - 4*t, 2*s - 88 = -3*s - 3*t. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69\/7460773 or 0?\nAnswer: 69\/7460773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**3 + 2*a**2 + 2*a + 1. Let q be 128\/20 - (-4)\/(-10). Let t = q - 7. Determine h(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 208*r - 208*r - 40*r**2 + 3 - 3 + 2*r**2 + (3 - 2*r - 3)*(2 - 2 + 3*r).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5204867.\nAnswer: 5204867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 2. Let y(j) = -j**3 + 8*j**2 + 10*j - 13. Let c be y(9). Let d be r(c). Solve -2 = i + 5*g, i + 2 = d*g - 3*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-30)*12\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184202 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 17, p: 1}. What is prob of picking 2 f and 1 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/(l**(1\/10)*l)*(l**(6\/11)*l)\/l*l*l**(5\/4) assuming l is positive.\nAnswer: l**(-1167\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpgg when four letters picked without replacement from gpggpggggggg.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3760796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 times -1.4?\nAnswer: -382.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgj when three letters picked without replacement from jrrrrccrrgcrrrckk.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97929 and 25155?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 64295*290\nAnswer: 18645550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - k + 328. Let g = -35 + k. Let t(z) = 19*z + 13. Is t(g) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -280*l + 3. Let r(q) = -857*q + 8. Determine -11*i(w) + 4*r(w).\nAnswer: -348*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1.39?\nAnswer: 0.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 0)\/(-2 - -3) + 7. Let v be -3 - -3 - (254\/38 - k). Which is bigger: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 231?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**7\/420 - l**6\/96 + l**5\/240 + l**4\/48 - 7*l**2. Factor n(c).\nAnswer: c*(c - 2)*(c - 1)*(2*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*g - 58*g + 105. Suppose 19*l = g*l - 300. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u - 2*u)*(-12 - 13 + 7 + (2 + 1 - 4)*(1 - 2 - 1)).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.440048 + 0.4463. What is k rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58b0 - 2?\nAnswer: 58ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 0.2, -149, -5?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - g**2 + 2*g**2 - 5*g. Let f(w) = 8*w. What is i(f(d))?\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13673087941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -17*z**7\/42 - 8*z**3\/3 - 9*z. Find the second derivative of k(c) wrt c.\nAnswer: -340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddndxooddxfnoddfo. What is prob of picking 1 d and 3 o?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 6*y**2 - 6*y + 5. Let d be v(4). Let j = 326 - d. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035439 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858924 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, -3, -5, 1, -2\/7, 1.4 in increasing order.\nAnswer: -172, -5, -3, -2\/7, 1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-1860) + 1944\/93.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -53506 divided by -173\nAnswer: 53506\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-200)*15 + 4\/(-10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + -98. Let h = 190 + a. Let p(i) = -i**2 + 15*i + 2. Let q be p(15). Sort 38, q, h in decreasing order.\nAnswer: 38, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from yycccczyc?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*m**3 - 760*m**2 - 2256*m - 1440.\nAnswer: 4*(m - 10)*(5*m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by 6?\nAnswer: 101\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(80))**2 + sqrt(5))*-5 - ((4 + -1 + sqrt(5))**2 - (1 + sqrt(500))).\nAnswer: 29*sqrt(5) + 1987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256.11 rounded to the nearest 10?\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + b**2 + 2*b**5 + (b**2 - b**2 + b**2)*(-4*b**3 + b**3 + 4*b**3) + b**5 - 2*b**5 - b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 36*u**2 - 182*u + 12. What is b(-30)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (312\/(-676))\/(1*-6)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22910*y**3 + 22928*y**3 - 68770*y**3 + 22930*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*1213.68697.\nAnswer: 728.212182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37933*a**3 - 103 + 362 - 100 - 159 + (-3*a - a + 3*a)*(2*a**2 + 0*a**2 - 3*a**2) + a**3 + 0*a**3 + a**3.\nAnswer: -37930*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1, 1626, 2 in ascending order.\nAnswer: -1, 1, 2, 5, 1626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 199669523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 20. Suppose g = 2, 0 = 5*r - r - v*g - 186. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-11)\/(-88))\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q - 9. Let k(a) = a. Give c(k(w)).\nAnswer: 4*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*((-160)\/3)\/16.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.2, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6455*c**2 - 7224*c?\nAnswer: 12910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -15. Let w be 1\/(u\/64*4). What is the units digit of (w\/3)\/(4\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 52 = -8*o. Suppose -5*p = 3*d - 10, -4*p - 16 = -4*d + 8. Calculate the remainder when o is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**2 - 7*b + 47. Let d be q(-7). What is d rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1697 and 0.264.\nAnswer: 448.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = 0, -4*r + 3*t = 2*t - 121. Suppose -3*u + 6*u = 0. Let i(o) = o**3 + o**2 + 12. Let s be i(u). What is the greatest common divisor of s and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 - 2*j + 5*j)*((1 + 4 - 3)*(-6 + 0 + 3) + 0 + 4 - 3).\nAnswer: -10*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1092 = 5*d, -5*d = -4*d. Let f(s) = -2*s - s - 547 + i. Let z(c) = 4*c + 2. What is -3*f(m) - 2*z(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 24, -107, 2 in ascending order.\nAnswer: -107, 2, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.37 + -3.37. What is the closest to 1 in 0.5, 6\/17, 2, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*v - 384, 3*o - 130 = -2*v + 42. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 5*f. Let p(z) = 38*z**2 + 43*z**2 + 42*z**2 - 121*z**2. Calculate j(p(n)).\nAnswer: 8*n**4 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c - u, 3*c - 16 = 4*u + u. Let p(f) be the first derivative of 0*f**c - 2\/9*f**3 + 0*f - 3 + 1\/12*f**4. Suppose p(v) = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**8\/840 - n**6\/120 + n**3\/2 + 4*n**2. Let z(y) be the first derivative of g(y). Find the third derivative of z(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*(((w\/(w**5*w))\/w)\/w*w*w)\/w)\/w**3)\/(((w**(-4)*w)\/w*w)\/w**(-1\/3)))**(12\/5) assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3 - 3)*(0 + 5 - 3 + (1 + 2 + 1)*(6 - 8 + 11) - 2 + 1 + 2).\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*a + 21, 4*f + a + 3 = -4*a. Let w(m) = -3 - 6*m**3 - 50*m**f + 2*m - m + 4 - m**2. Is w(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -9. Suppose 3*j = -q - p, q - 3*q + j = -9. Let o(a) = -a**2 - 6*a + 3. Let m be o(-6). Solve h - m*h = -q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789.99 millimeters in meters?\nAnswer: 0.78999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 43. Let w(c) = -2*c - 85. Determine -11*u(d) - 6*w(d).\nAnswer: d + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -122440?\nAnswer: -122433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 5*v**2 - 5*v - 4. Let s be i(-4). Let p = 27 + -92. Let t = p + 193. What is the highest common divisor of s and t?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/9 - 17186*z**2 + 3606610*z\/3 - 189304150\/9 = 0. Calculate z.\nAnswer: 35, 77267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1344) + (sqrt(1344) + (sqrt(1344) - 1*sqrt(1344)) - sqrt(1344)))\/sqrt(7)*2)**2.\nAnswer: -64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/463428 and -19\/132408.\nAnswer: 926856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*v**2 - 2*v**3 - 674*v**4 - v + 639*v**4 - 1 - 124*v**2 in the form b + k*v**3 + g*v**4 + u*v + a*v**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 + -128. Does 14 divide -3 - j\/4 - 614\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229898?\nAnswer: 2, 71, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**2)\/v))**1)**(-1\/11)*(v\/v**(-3\/7)*v)\/(v*v*v\/(v*v*((v\/((v*v**(-2\/11)\/v)\/v))\/v)\/v)*v)*(v*v**(-3\/8))\/(v*v**(1\/9)) assuming v is positive.\nAnswer: v**(-823\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 360319*y**6 - y**5 + 21*y**2 - 2*y - 14 wrt y?\nAnswer: 43238280*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h. Let q(w) be the third derivative of -5*w**4\/24 + 19*w**2 + 5. Give q(j(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**6\/60 - l**5\/15 + l**4\/24 - l**3\/3 + 14*l**2 - 4. Let h(g) = -g**3 + g**2 - g + 1. Calculate a(n) + 2*h(n).\nAnswer: -4*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24059688 plus 6?\nAnswer: -24059682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-2 + 2 + 2*u) + 4 - 2*u - 4 + (-2 + 5 - 4)*(2*u - u + 0*u) + (4 + 3 - 5)*(25*u + 21*u + 8*u).\nAnswer: 109*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2 + 14*g + 210. Let u be x(22). What is u rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwdmsffddwfdkm. Give prob of picking 2 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0, 402, 2, -5 in increasing order.\nAnswer: -5, -3, -2, 0, 2, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 22. Let k = 8309 - 8314. Let h(i) = 2*i + 23. What is k*s(j) - 4*h(j)?\nAnswer: 2*j + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 26*i**3 - 5*i**2 + 5. Let v(k) = 130*k**3 - 26*k**2 + 26. What is 26*h(m) - 5*v(m)?\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368908171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102553798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1397*w**3 - 1381*w**3 - 1399*w**3 + 4174*w**3 - 380*w**2 to k*w**3 + y*w + n*w**2 + x and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2805\/13 + 96\/416 and 99.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 divided by 2?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) -13\/3 (c) 0 (d) -125 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*q + 574 = 552, -6*z - 2*q = -10*z - 38 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 789 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 987*s - 6 - 12 + 14 + 4 to the form r + p*s and give p.\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 4\/4) + 50. Suppose 3*z + 7 = t. Suppose -f = -0*f - 27. Calculate the remainder when f is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j - 14*j - 141098 = -143366 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.8552 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*j + 15, 2*d + 3*j - 11 = -2. Solve 2*m + 12 = -4*x, d = 2*m - 5*x - 16 - 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -168875, -675610, -1520205, -2702690, -4223095, -6081450?\n\"Answer: -5*c**3 - 168900*c**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2735 or 2750?\nAnswer: 2750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4424, -8895, -13366, -17837, -22308?\nAnswer: -26779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2283 + 2282.9282. Which is the third smallest value? (a) 3 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 17 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/60 - 356*q**2. Let k(z) = -181*z**2 + 2. Determine w(k(g)).\nAnswer: 32761*g**4 - 724*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -62 (b) 44\/5 (c) 24 (d) 1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14489 from -4.\nAnswer: -14493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2227008 and 1536.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -699, -2815, -6343, -11283?\n\"Answer: -706*b**2 + 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2529*s**4 + 0*s**2 + 0*s**2 - 50*s - 2602*s**4 wrt s.\nAnswer: -876*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*a**2*z**2 + 5*a**2 + 26*a*z**2 - 13*a*z wrt a.\nAnswer: -178*z**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -15. Let p be (n\/(-20))\/(6\/(-45)). Suppose -2*q + 4*j = 10, 5*q - 3*j = -p + 16. What is the remainder when 19 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72027.14 meters to centimeters.\nAnswer: 7202714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-258)\/(-86))\/(-69))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335 = 84*g - 1055 - 204 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -625*l + 6*l**2 + 1253*l + 33*l**3 - 628*l + 15*l**3 in the form q*l**2 + y + c*l**3 + z*l and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 2*t**6\/3 - t**4 + 11. Factor c(q).\nAnswer: 4*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 + 9*b + 6. What are the prime factors of d(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.4804 tonnes in kilograms?\nAnswer: 66480.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 47.71754 millilitres?\nAnswer: 0.04771754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 19*f**2 - f + 24. Let z(p) = 2*p. Give d(z(a)).\nAnswer: 76*a**2 - 2*a + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15968746 by 10.\nAnswer: -7984373\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49277194 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f = -19*f - 24*f. Which is the nearest to -1? (a) -0.4 (b) f (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204007.\nAnswer: 204007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557009, 556804, 556461, 555980, 555361, 554604?\nAnswer: 553709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79.919 - -0.081. Let c = 75.12 - u. Round c to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (-50)\/(-15) + -6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 6. Let y(d) = -7*d + 13. Let c(k) = 5*t(k) - 2*y(k). Let n(o) = -3*o - 38. Let p be n(-14). Let q be c(p). Sort 6, 1, -1, q.\nAnswer: -1, q, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 51 - 3 = 3*l, -2*o = 22. Determine r so that 1\/2*r**l + 0 + 11*r**3 - 42*r**2 + 49\/2*r + 6*r**4 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 3*v - 3*v)*(-82 + 41 + 70).\nAnswer: -58*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5403168 divided by 96.\nAnswer: -56283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 12*o**2 + 14*o - 2. Let k be l(-11). Let b be (-10)\/k*14\/(-6). Let x = -1046 - -1048. Put 0.1, -0.03, x, b in ascending order.\nAnswer: b, -0.03, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3002*p - 1683*p - 1559*p - 493276 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.053 - 0.153. Which is the nearest to 0? (a) k (b) -3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -336, -273, -198, -105, 12, 159, 342?\n\"Answer: u**3 + 56*u - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + 168\/(-18))\/(4\/12). Is -78 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21619583.\nAnswer: 43, 502781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:48 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9085, 19139, 35895, 59353, 89513, 126375, 169939?\nAnswer: 220205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939458 is divided by 189?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/59929?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/69, -0.6, -0.05, 47\/13 in descending order.\nAnswer: 47\/13, -2\/69, -0.05, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*i - 26, -s - 5*i + 23 = -i. Differentiate -78*q**3 + 153*q**s - 85*q**3 - 11 with respect to q.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117 + 2*k - 15*k**3 + 134 - k**2 - 244 as i*k**2 + p*k + w*k**3 + g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 3, a: 1, n: 3, w: 5, x: 1}. Give prob of sequence zn.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.4. Let k = 8.6 + -9.2. Let l = u + k. Is l bigger than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5\/2 - 30*r**4 + 5*r**3 + 60*r**2 - 5*r\/2 - 30 = 0. Calculate r.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from iaolalillaiocll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + m = -u - 47, 3*m - 67 = 4*u. Let w be 48\/(-90)*12\/u. Factor -w - 2\/15*r**2 - 8\/15*r.\nAnswer: -2*(r + 1)*(r + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 127, 203?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -57*p**2. Let u(g) = 10*g - 13. Determine u(y(n)).\nAnswer: -570*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 21 = -5*z - 45, 0 = 5*z - 4*l + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2\/5 - 756*t\/5 - 13034 = 0.\nAnswer: -245, -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**2 + 3\/2*r + 0*r**4 + 0 + 3\/2*r**5 - 3*r**3.\nAnswer: 3*r*(r - 1)**2*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 1.68 (c) 3\/2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12903614 - 12903227.99455. Let d = o + -386. What is d rounded to 4 decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + s**2)*(-3 - 15 + 6) - 9*s + 9*s - 3*s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 816, 1238, 1676, 2136, 2624, 3146, 3708?\nAnswer: 4316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 4*v**2 - v. Let n be i(-4). Suppose p - 5*p = -n*x - 176, 5*x = 4*p - 175. Let d = p + -31. Calculate the remainder when 40 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -1\/18*q**3 - 1\/108*q**4 + 25*q + 0*q**2 + 0. Factor c(g).\nAnswer: -g*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = k + 19, 977595 - 977597 = -2*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 23*k - 79. Determine i(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 238 + -234. Suppose f - d = 28, -2*f + d - 5*d + 62 = 0. Suppose h*i - f = 27. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + 11\/(-1) + 2\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n - 1. Let u(j) = -31*j - 4. Let z(d) = 11*l(d) - 2*u(d). Let w = -9 + 7. What is z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 32*l**3 + 6*l - 71. Let b(q) = -q**3 + q - 1. Let c(s) = -6*b(s) + i(s). What is the first derivative of c(u) wrt u?\nAnswer: 114*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24f - 3?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*s**3 + b*s**2 - b*s + 4*b + 2813*s**3 wrt s.\nAnswer: -12*b + 16878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*a = -6405 - 2206. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -5*d - 165 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5142293029.\nAnswer: 3361, 1529989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*p - 4, -20*d = -21*d - 5*p + 17. Solve d*z = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -68*b + 641. Suppose p + 1 = -1. Calculate the remainder when n(8) is divided by (25\/p)\/((-2)\/4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*j + 2*v + 73, v - 44 = 2*j. Let f = j + 75. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 - 2*g - 4. Let x(z) = -z**2 - 5*z - 2. Let u be x(-3). Suppose v + u*v = -30. List the prime factors of y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/3*(4389\/308 - 15).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*p + 2. Suppose 2 = -p*c - 0. Is 28*(c + 7\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.3 (b) -0.03 (c) 211200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/23 (b) -0.1 (c) -1.1 (d) -6 (e) 16\/5 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 472 - 626 = 23*l + 959 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by (7 - 6)*(61 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h - 41 = -4*f, 3*h + f - 19 = 0. Suppose -14 + 50 = m + 3*n, 2*m - 77 = -h*n. What is the remainder when 150 is divided by m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1969007, -1969126, -1969245?\n\"Answer: -119*b - 1968888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17730432 divided by -6.\nAnswer: -2955072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (3 - 3)\/(-2). Let g(k) = 4*k - 6. Let f be g(a). Let v be -2*1*-2 + 32 + -32. Sort f, -3, -6, v in ascending order.\nAnswer: -6, -3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/9 - v**5\/60 + 3*v**4\/2 + 37*v**3\/6 - 46*v**2. Let h(l) be the first derivative of o(l). Differentiate h(y) wrt y.\nAnswer: -80*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (-2*sqrt(117))**2).\nAnswer: 2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43380054.9 minutes to weeks.\nAnswer: 4303.576875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(75) + sqrt(75)*2 + sqrt(75))**2 - sqrt(75)*3*2) + 5.\nAnswer: 170*sqrt(3) + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -100?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 19, -5.\nAnswer: -57, -5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 453767569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 59, -4, -3 in descending order.\nAnswer: 91, 59, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267.14840688 - 0.0961.\nAnswer: -267.24450688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 413.\nAnswer: -125\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 84. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 - 24*j - 21. Let g(s) = 4*s**2 + 24*s + 20. Let c(n) = -3*g(n) - 2*o(n). Let p be c(-11). Suppose -m = p*m - 20. Solve -m*r - 12 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -4*h - 5*b, 0 = 4*h - 2*b - 20. Find the second derivative of h*w**3 - 2*w**3 + w**3 - 4*w wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220011022121 - -120?\nAnswer: 220011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 115617*y + 115616.\nAnswer: (y - 115616)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 4*u = 30*p + 53 - 58, 0 = 6*p - 2*u - 52 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v - 26996 + 25685 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32833323.\nAnswer: 3, 59, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1066351ug in nanograms?\nAnswer: 106.6351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 10*v - 20. Solve 0 = -5*r - 4*s + 5, -3*s = v*r + s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 21*j - 60. Solve j*s - 3*s + 2*f = 3, s + 4*f - 11 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 10. Let k be p(13). Put -1, k, -13 in descending order.\nAnswer: k, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 1512.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -21689\/13994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 - 1.07. Let s = -5.13 + b. What is the second smallest value in -2, 2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18252 and 0.\nAnswer: -18252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 - 786.8242.\nAnswer: -732.8242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (2 + -3)\/(1\/(-2)). Let z(x) = x + 3*x + x. Give z(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - 64. Suppose -5*l = 3*j - 67, -3*j + 2*l + 50 = -j. Let g = -13 + j. What is the remainder when c is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 46.5. Suppose -2*x + 9 = 2*x + 5*i, 9 = 5*x + 4*i. Which is the closest to 0.1? (a) 3 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 7*u**4 - 44679*u**3 - 25250972*u**2 + 43444164*u + 14472880 = 0?\nAnswer: -524, -2\/7, 2, 6905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/679714 and -129\/72380.\nAnswer: 74768540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 621.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1450*a - 1047. Let v(j) = 1461*j - 1046. Let r(g) = 3*h(g) - 2*v(g). What is the first derivative of r(l) wrt l?\nAnswer: 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 + 3*h + 3. Let p(x) = -x**2 - x - 1. Let m(c) = -3*p(c) - v(c). Let t(k) = -6*k**2. Suppose -28*u + 36 = -19*u. Give u*t(y) - 22*m(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 6. Suppose 2*b + b = -g. Let z be 11\/(-9) - (6 - 7). Is b bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g - 64*g + 21 - 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 30 = 24. What is the remainder when 12 is divided by (45\/18)\/(q\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58, 0.5, -1, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 76 = 0. Let x(q) = 24*q - 9. Let h be (10\/8)\/((-67)\/(-268)). Calculate the remainder when x(h) is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 264 + 30. Let j be 0*(4 + (t\/(-9) - -1)). What is g in -8 + 4*g**2 + 1 + 8*g + 11 + j*g**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -125. Let b = 182 - o. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2. Let d(r) be the third derivative of -r**5\/120 + r**4\/8 + 43*r**3\/6 + 50*r**2. Let n(a) be the first derivative of d(a). Give n(l(z)).\nAnswer: 3*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -29956.\nAnswer: 14978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + 146?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -640 - -635. Which is the biggest value? (a) 5 (b) -2\/3 (c) -4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3778287 + 0.4778293. Let r = l - -0.9. What is r rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 37955. Let p(o) = 41*o. Give p(c(w)).\nAnswer: -41*w - 1556155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/6 - -148 - 3*-1. Let w = x + -110. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 21. Is (j - (-3172)\/8)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(175)*-3*5 - (-2 + sqrt(175) + 0)))**2*5.\nAnswer: -6400*sqrt(7) + 896075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffoofogofoffffooff. Give prob of picking 2 o and 1 g.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -163, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 4\/(-6))*-12. Suppose a + 92 = -3*p. Let q be ((-48)\/p)\/((-2)\/(-3)). Solve q = 3*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 14 + 4)*(6 - 6 + 3*c).\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122675.\nAnswer: 5, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 293351.\nAnswer: 1, 3, 293351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223647490?\nAnswer: 2, 5, 11, 2033159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 4*k = 6. Does 29 divide (4959\/(-38))\/(5\/8 - k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73, 338, 811, 1522, 2501, 3778?\n\"Answer: 5*o**3 + 74*o**2 + 8*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 2, g: 3, l: 4, f: 2}. Give prob of sequence glf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -145.98.\nAnswer: 729.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-10) + -9*(-26)\/585. Factor -2\/11*g**5 - 4\/11*g**2 + 4\/11*g**3 + 2\/11 - 2\/11*g + 2\/11*g**p.\nAnswer: -2*(g - 1)**3*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 32. Let h be x(-8). Let a be (-1)\/(3 - h\/(-15)). Solve 0 = a*w + 15 - 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/15 - 420316*m**2\/3 - 25219226*m\/15 - 23117644\/15 = 0.\nAnswer: -11, -1, 1050802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -4, 1\/73, 0.305, 47 in descending order.\nAnswer: 47, 0.305, 1\/73, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 + 41916*y\/13 - 41890.\nAnswer: -2*(y - 20945)*(y - 13)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 168\/2749?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 57\/11 - 8\/44. Suppose 14*s - 35 = 9*s. Are i and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/(o*o\/(o\/(o*o*o**(-5\/4)*o*o)))))\/o)\/(o**(-10)\/o))\/(o**(-2)*o**(-6)))**(-13\/2) assuming o is positive.\nAnswer: o**(-1131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 6*w**2 + 7*w + 2. Let l be r(7). Suppose -5*j = -3*s - 37, -l*s + 3*s - 25 = -3*j. What are the prime factors of 147\/2*(0 + j\/6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 7)*(j**2 + j**2 - j**2) + 5*j**2 - 3*j**2 - 7*j**2 - 11 - 5*j**2 + 11.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 237 + 13603?\nAnswer: 1383a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 21*z**5\/10 + 8*z**4\/3 + 4*z**3\/3 - 2*z**2. Determine t so that d(t) = 0.\nAnswer: -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -11. Suppose -3589 = -9*m + 12530. Let w(j) = m - 1791 - 2*j + 8*j**3. Let q(l) = -81*l**3 + 21*l. Determine c*w(f) + 2*q(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 29*o**2 + 73*o + 458. Let z be q(-13). Let g = 2 + 0. Solve -a + 2*k - 29 = 4*a, g*a = 3*k - z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(4212) - sqrt(4212)) + sqrt(4212) + sqrt(4212))*6 + -5 + sqrt(4212)*2)**2.\nAnswer: 504*sqrt(13) + 825553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 155923\/77982 + 6\/(-3). Do i and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 68*b = -200. Let g(k) = 3*k**3 + 11*k**2 - 6*k - 2. Calculate g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 e when three letters picked without replacement from {e: 1, y: 1, p: 2, n: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-2 + 14 - -1 - 2 - 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-3136)\/(-192) + -34.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7005123 to the nearest integer?\nAnswer: 2647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3 - r**2 + 6. Find the second derivative of o(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7240 is divided by 335.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1350, -2701, -4056, -5415?\nAnswer: -6778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6408659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/4 - 20*z**3\/3 - 19*z**2 + 28*z - 71. What is the smallest common multiple of l(-18) and 36?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6164.146 millennia to decades.\nAnswer: 616414.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (120\/16)\/((-9)\/852). Let f = -121 - c. What is f rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*((-9*y + 9*y + 7*y**3)*(-y + y - 2*y) - 3*y**2 - 3*y**4 + 3*y**2 - 2 + y**4 + 2).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55354109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140160566.\nAnswer: 2, 7, 13, 770113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 624.539015 to the nearest ten.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b**(-4\/5))\/(b*b*(b*b**5)\/b*b*b*b\/(b*b*b**(-1\/10))) assuming b is positive.\nAnswer: b**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 2\/13 (c) -10 (d) -0.4 (e) -44 (f) 31\/5 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12438073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33272639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Let c be 16\/(-12)*27\/(-12). Suppose 3*b = -3*k + 21, -c*b + 2*k = -12 + r. Let w(q) = -2*q + 4. Calculate w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 924, 860, 772, 660, 524, 364?\n\"Answer: -12*f**2 - 28*f + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 1 g when three letters picked without replacement from {g: 3, j: 1, l: 1, c: 1, u: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 6*t - 1. Let n(u) = 3*u**2 + 11*u - 2. What is 3*n(a) - 5*s(a)?\nAnswer: -a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -86. Suppose 0 = -3*o - 5*l + 75 + g, l - 146 = -4*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-61 + (23 - -6) + -40)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 259*j**2 + 2*j - 2. Let i(f) = -56202*f**2 - 435*f + 435. Let s(k) = 435*a(k) + 2*i(k). Let l(g) = -5 - 15 + 42*g + 20 - 41*g. What is s(l(z))?\nAnswer: 261*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*s + 19556 + 6539 = -21209. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 76 - 106 = 4*y, 0 = 44*y + o - 4*o + 1986 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 2, -7, -212.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/154*560\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, l: 6, z: 2}. What is prob of picking 2 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 13*n**3 + 730*n**2 - 1509*n + 716. Let u(t) = 51*t**3 + 2922*t**2 - 6036*t + 2868. Let i(l) = -39*j(l) + 10*u(l). Let i(v) = 0. What is v?\nAnswer: -252, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**2 - f - 6. Calculate l(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsrs when four letters picked without replacement from yyruyuyyrxrrhssyys?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*f - 104, 3*f - 2*j - 77 = -0*j. Let t be (-21)\/(-9)*3*-1. Let u = f + t. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -319 - -363. Suppose 15*m = -7*m + g. Factor 2\/3*b**m + 1\/6*b**4 + 0 - 2\/3*b**3 + 0*b.\nAnswer: b**2*(b - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 28436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 3*q + 29, 80366*q + 1 = -4*o + 80361*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008076 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 14*v**2 + 17*v + 3. Let s be l(14). Let m = s - 148. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 796 - 801. Which is the biggest value? (a) 4\/7 (b) 0.026 (c) f (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s + 3 - 6*s**2 - 8 + 7.\nAnswer: -2*(s - 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26087395 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*r = 35, 99*r = 208*n - 211*n + 510 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 146*f + 7. Let y(j) = 584*j + 31. What is 9*h(t) - 2*y(t)?\nAnswer: 146*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000389491 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 9. Let s be -3 + 3 + 24\/(-2). Let l be g(s). Suppose n + 89 = l*w + 29, -4*w - 2*n + 90 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19821 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132827.\nAnswer: 3, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21206.2 + 21206. Which is the closest to -111\/8? (a) 0.3 (b) 9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 divided by -93?\nAnswer: 215\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550837 - 136712 = -93*k. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d - 10*d + 5*d**3 + 19*d**2 - 25*d**2 to the form g*d**3 + b*d**2 + i + y*d and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:29 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = 10. Let r be 54\/((-1)\/6 - 15\/a). Let s = -9 + 18. What is the highest common divisor of s and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/16 of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*h, -3*b + 3*h - 4*h = 0. Suppose 3*c = 4*d + 18, b = c - d - d - 8. Solve 0 = l + 4*q - 5, -3*l - 1 = -2*l - c*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343 = -3*a - 1214 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 13*q - 155. Determine b(-11).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-16)\/3)*(-24)\/(-10). Suppose -10*k + 576 = l*k. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - 7392*x**2 + 7392*x**2.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 291501 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: Find the common denominator of -151\/840 and -61\/90.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:57 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -16?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.65 and -163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by -216508.\nAnswer: 1\/1916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -504664110 + 1?\nAnswer: -504664106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 - 2*s**2 - 11*s + 20. Let j be b(2). Let h(f) = f**3 - 14*f**2 + 3. Determine h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m - 2*m - 6*m + 0*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 676867 and -20.75.\nAnswer: 676846.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 12*n - 25. Let f be t(13). Let c be (30\/f)\/(1\/(-2)). Let r(z) = -z**2 + 6*z + 1. Calculate r(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(9 + -7). Solve 0 = 3*h + w + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*q = 130*q - 6 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 14*g**3 + 29*g**2 + g - 5. Let u(z) = -5*z**3 - 10*z**2 + 2. Let d(y) = -6*r(y) - 17*u(y). Suppose n + 4*f = -f + 5, f + 25 = 5*n. Calculate d(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.006 and 38381744501.\nAnswer: 38381744501.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttzzzrztzt. What is prob of sequence tzr?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 20 = -c - 3*x, -9 = 3*x. Calculate the remainder when 38 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 less than -3377566421?\nAnswer: -3377566388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4 = -6, 5*d - 5*s - 4 = -4*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/23 - -31\/92. Let i = 0 + 5. Let p = 137 + -137.3. Which is the nearest to t? (a) p (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*g = 17, g = -4*y - 1 + 20. Suppose y*d + 23 = 6*d. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 + (45 - -14) + (-1 - 3) - 14\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/7)*s\/s**(1\/6) assuming s is positive.\nAnswer: s**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(21)*-3 - (sqrt(21) - sqrt(1050)\/sqrt(2)))\/(2*(-3*sqrt(14)\/sqrt(2) + sqrt(7) - ((sqrt(56)*1)\/sqrt(8) + sqrt(7)))) + 2)**2.\nAnswer: -13*sqrt(3)\/2 + 763\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2307 + 2412. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 1:58 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 2. Let z be n(-4). Let v = z - -9. Let w be v\/12 - (-1)\/(-4). Solve -k + 0 - 1 = w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 = 11*x - 1050. Determine c so that 389 - 130*c**2 + 907 + 134*c**2 + x*c = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 0.4, -2\/3, -2\/9, -92, -5 in increasing order.\nAnswer: -92, -5, -2\/3, -2\/9, 0.4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from cfkckffnfxffff.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(539) + sqrt(11) - (5*(sqrt(121) + -1*sqrt(121) + sqrt(121)))\/sqrt(11))**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 14\/(-4))\/((-105)\/(-504)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-113\nAnswer: -112.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:21 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 31 = -255. Let l = c - -58. Suppose -l*h - 3*p = -h - 65, 4*h - 312 = p. What is the remainder when h is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*z + 20 = -0*z, 3*p - 4*z = 58. Let c = -27 + 29. Suppose -44 = -c*d + 46. What is the greatest common factor of p and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -38. Let n = b - 5. What is the lowest common multiple of 2 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 + 4716 = 26*z. What is the least common multiple of z and 112?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7)*x\/x**(2\/15) assuming x is positive.\nAnswer: x**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6570 - -6573. Solve -2*x + 5 + 1 = 0, -5*x = -4*r - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 61 + 2*b + 30.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238 + 6189\/26. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 16*k**2 - k + 14. Let a be b(-11). Let c(g) = 4*g + a - 630. Let j(s) be the third derivative of -s**5\/30 + s**2. What is c(j(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24775605.\nAnswer: 3, 5, 183523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -22. Suppose -5*t = f*m - 1118, 0*t + 5*m = -5*t + 1120. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*u = 213*u - 8244. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.214*0.1\nAnswer: -1.8214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9084?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c + 18. Let f(w) = -6*w - 3. Let b be f(c). List the prime factors of ((-16)\/(-10))\/(3\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*d + 6 = 16, 0 = 5*d - 10. Suppose 11*v + v - 1668 = w. Suppose k = p + 2 + 36, v = 3*k + 2*p. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 - -100. Solve 0 = -x*d - 0 - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1545*w**3 + 4*w**2 + 3087*w**3 - 3 + 0 - 1546*w**3 + 6*w. Let p(y) = y**3 - y**2 + 1. Calculate -f(z) - 5*p(z).\nAnswer: -z**3 + z**2 - 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92*480\/1840 - -89?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148428 and 342?\nAnswer: 148428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(sqrt(475) + -5 + sqrt(475) + 1))**2.\nAnswer: -11496 + 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -2. Suppose 2*j + 22 = -j - 4*m, -3*j = l*m + 26. Let k be (62\/28 - 2)\/((-3)\/j). Put -2\/7, -0.3, k in decreasing order.\nAnswer: k, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 8*q**2 + q. Let m be k(8). Suppose -10*o + m*o = -22. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let h be 4\/3*t + (-3 - -4). Suppose -h*d = -4*d. Solve d*x - x + 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3857427l in millilitres?\nAnswer: 385.7427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59\/624 in 147, 2\/9, -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(40\/3))\/(21\/(-14)) and (1*-8*2)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*r - 0*r. Suppose -r*o = -o + 6. Let g(y) = y**3 - 7*y**2 - 10*y + 10. Let v be g(8). Do v and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neq when three letters picked without replacement from ettsqnnesjnesstess.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32907\/242 + -136. Let x = d - -24215\/726. Determine j, given that 152\/3*j**2 - x*j**3 - 4\/3*j**5 - 112\/3*j + 32\/3 + 32\/3*j**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/2)\/((-2)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.6 and -2.97.\nAnswer: -31.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6. Let t = -2.01 - u. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19496489543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9849128 is divided by 215.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -42*l**2 - 68*l - 17. Let t = -31 + 33. Let r(p) = 565*p + 40*p + 505*p**t + 210*p + 205. Let j(z) = -35*i(z) - 3*r(z). Factor j(m).\nAnswer: -5*(m + 1)*(9*m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -890 - -1525. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1481 = 2*l, -l - 142 + 902 = 5*c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-10)\/(-4))*((-20)\/2)\/(-50)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -2, -5.\nAnswer: -107, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235836 by -9.\nAnswer: 26204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5*v - v)*(-1 + 5 - 2).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 366931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 24 = -5*m, 0 = -3*m + 2*b - 3*b + 8. Suppose h + 4 = -4*q - 8, -3*h = q - 8. Put m, 1, q in ascending order.\nAnswer: q, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 48*z + 200. What is i(-52)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1323 divided by -147.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 197, -5 in increasing order.\nAnswer: -5, -3, 0, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + (-40)\/(-30) - 6. Factor 4*l**2 + 2\/3*l**4 - 8\/3*l - 16\/3 + j*l**3.\nAnswer: 2*(l - 1)*(l + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2. Let u(r) = 12*r. Determine u(n(m)).\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 3*i**2 - i**4 + (2*i**2 - 6*i**2 + 3*i**2)*(-4 + 4 - 2*i**2) - 2*i**4 - 3*i**2 + 3*i**2 + 5*i**4 - 4*i**4 - 2*i**4.\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 10?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7078848 divided by -21\nAnswer: 337088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 15*g + 58. Suppose -g*s = -45 - 5. Solve s*w - 2*l + 47 = 12, -5*w - 45 = -4*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/10*(-2 - -2). Let x(m) = -m**3 + 3*m + 357. Let c be x(n). Let h = -9 + 60. Calculate the highest common factor of c and h.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 24 = 3*b, 185*d - b + 725 = 329 - 898 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 366\nAnswer: -5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -h + 5*p, 5*h - 3*p - 15 - 10 = 0. Let c(j) = 4*j + 6 - 7 - h*j + 5. Let g be c(0). Solve 16 + 4 = -g*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z + 384. Let f be w(0). Calculate the highest common factor of 48 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/11 and 13\/5118.\nAnswer: 56298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2699500 to the nearest ten thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76658 is divided by 4095?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 2*u + 2. Let s(i) = i + 1. Let k = 643 + -609. Suppose -5*z - 11*a = -12*a - k, 4*a = -z - 10. What is z*s(h) - 3*w(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 775 + -775. Factor -26\/5*f**2 + g - 12\/5*f - 16\/5*f**3 - 2\/5*f**4.\nAnswer: -2*f*(f + 1)**2*(f + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 12 + 6 = 41*x - 6, 0 = 2*f - 3*x - 0 - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 13*v + 132 = -39*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 11 = d - 5, d - o - 7 = 0. Let f be 0 + (-1)\/(1\/(-2)). Find the second derivative of 3*t + 2*t - t**d - f*t wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 - 67240*i + 59423235 = 0 for i.\nAnswer: 951, 12497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -59ee (base 16) in base 4?\nAnswer: -11213232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/(o*o**(1\/2)\/o*o*o))\/(o**(1\/2)\/o)**(16\/3) assuming o is positive.\nAnswer: sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -628, -2495, -5606, -9961, -15560, -22403, -30490?\n\"Answer: -622*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n - 568. Calculate t(56).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*z + 8 = -1, 5*i - 5*z = 35. Solve 4*n - i = -4*s - 1, 0 = -4*s + 4*n + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 109 + 24 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 20*q**3 + 4*q**2 - 6*q + 4. Let b be c(2). Suppose -h = -0*h - b. Suppose 2*m = -0*m + h. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 27. Let q(l) = -4*l + 90. Let s(t) = 3*q(t) - 10*v(t). Let c(z) = -7*z. Let n(f) = -78*f. Let u(b) = 65*c(b) - 6*n(b). Give s(u(k)).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (1 + (-5 - 5 - (10 + -16))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 4. Let c be (-20)\/(-30)*(-1 - -7). Let a be i(c). Let n be (a\/(-1) - -1)\/(-1). Let f(d) = -d**2 - 4*d + 1. Give f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 15 - 11)*(2 - 1 - 3)*(v - 2*v + 5*v) in the form q*v + u and give q.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 7*y**2 - 3*y + 5. Let l(g) = -2*g**3 - 6*g**2 - 3*g + 4. Let n(h) = 5*l(h) - 4*o(h). Give n(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/22 and 15\/298576?\nAnswer: 3284336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*z - 2240 - 460. Let w = 2 + -6. Sort z, w, 4, -1 in ascending order.\nAnswer: w, -1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005981 to seven decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r - 3. Let o(f) = -f**2 + 4*f - 4. Let h(i) = i + 2. Let n be h(-5). Let g = -103 + 107. Determine g*w(p) + n*o(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*1*sqrt(700) + (sqrt(700)*4*1 - sqrt(700))))**2 + 5.\nAnswer: 179205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 8*t + 7. Is i(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770 and 1447710.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(3)) - (sqrt(3) + (sqrt(3) - (sqrt(3) + -3)) + -3))*-3.\nAnswer: -9*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 - 4)*(0*f - 2*f + f) + (0 - 4 + 2)*(-51*f + 65 - 65))*(f**3 + 0*f**3 + f**3) in the form p*f + r*f**2 + l + g*f**4 + t*f**3 and give g.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -38*w**2 - 2*w + 38. Let j(g) = 13*g**2 + g - 13. Let k(s) = -14*j(s) - 5*u(s). What is the least common multiple of 5 and k(-2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-384)\/(-72)*(-14)\/(-560)*-25?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 13*n**2 + 1 + 5 - 2 - 4 + 6*n to o*n**2 + t*n + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -246364?\nAnswer: -246364.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/684 and 27\/6760.\nAnswer: 1155960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4 - 38*z**3 + 211*z**2 - 172*z = 0. What is z?\nAnswer: -43, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34705 is divided by 1245?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdjjukuwjuw. Give prob of sequence wdk.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeej when four letters picked without replacement from eejejjjj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.400082ml?\nAnswer: 0.003400082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 7:29 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -0.0717272\nAnswer: -0.717272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/3 + 1811*a**2 - 2*a + 1. Let o(c) = -2066*c**2. What is o(u(m))?\nAnswer: -132224*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**2 + 2*n + 1. What are the prime factors of l(5)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7560*r = -6191*r - 856*r - 7*r - 745314 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/120 - g**5\/15 - g**4\/12 + g**3\/6 + g**2. Suppose -4*m + 3288 - 3300 = 0. What is i(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6307 + 4190 + 3653 + 1154*i**2 wrt i?\nAnswer: 2308*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 + -49. Let i = n - 26. Let q = i + -137.6. Round q to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -641999\/567342 + 927\/733. Calculate the common denominator of -65\/602 and i.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/21 - 172*r**3\/21 - 2872*r**2\/21 - 1196*r\/3 + 18590\/7 = 0. What is r?\nAnswer: -65, -13, -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.72 + -0.28. Let s = q + 8. Let k = 6 + s. Which is the nearest to 2\/3? (a) -0.2 (b) -2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55\/237 - -8\/79. Find w such that -5\/6*w**2 - j - 7\/6*w = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 1962476819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/(x*x**3)))\/x))\/(x\/((x*x\/(x**(-9)*x)*x)\/x))*(x\/x**9)\/(x\/(x**(-5)*x)) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248544, 496818, 745092, 993366, 1241640, 1489914?\nAnswer: 1738188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/280*14*(-225)\/2. Let f be (12*12\/o)\/(3\/(-270)). Calculate the greatest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y + 4. Suppose 0 = -3*d - y, -n = -0*n + 5*d - 11. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -5*(-3)\/5. Suppose x = p - 4. Factor p*f**3 + 61*f**5 + 12*f**4 + 62*f**5 - 12*f**2 - 120*f**5 - 9*f.\nAnswer: 3*f*(f - 1)*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*y - 3 + y)*(10 + 21 + 26) as v + q*y and give q.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 72*g**3 - 2 + 552*g**2 - 552*g**2. Is s(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -55 in descending order.\nAnswer: 5, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*x - 29*g**3 + 3*g**2*x - g*x + 3*g - 59*x wrt g.\nAnswer: -12*g*x - 174*g + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -10. Let c = m - -3. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -509 and -636 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 7966.\nAnswer: 15932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 26. Which is greater: x or -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = x + 2. Suppose -3*d - 2*d = 4*m + 4, m - 4*d - 20 = 0. Let y be 5 + (-4)\/m*5. Put y, x, 4 in descending order.\nAnswer: x, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 6*v - 3. Let b be (-10 + 9)*12\/(-2). Let x(c) = -3*c**2 + 5*c + 3. Calculate b*x(s) + 5*w(s).\nAnswer: 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55\/8038 - 280660\/1370479. Let l = 1\/62 + o. What is the smallest value in -2\/15, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-6)\/6*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**3\/3 - 21*o**2\/2 + 2*o + 43. Suppose 0*q + 2*q + 34 = 0. What is the remainder when 25 is divided by j(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (81 + -53 + 28)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 36 = 21*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217172 is divided by 4721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 2761\nAnswer: 138.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5343 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k - 45*k = -2*u + 23, 5 = 10*u - 3*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**3 + 2*v**2 + 5*v - 5. Suppose -2*o = 3*f + 23, -3*f - o = -5*f - 6. Let x be z(f). Suppose -3*y = -8*y + x. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 988 or -3798?\nAnswer: -3798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -722? (a) -5 (b) 3\/4 (c) -11 (d) 1\/6 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27511\/20 + 1376. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*l**2 - 310*l - 310*l - 317*l + 937*l.\nAnswer: 37*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 2:32 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688600?\nAnswer: 2, 5, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 + 14390*v**2\/3 + 3434822*v\/3 - 3449206\/3 = 0.\nAnswer: -659\/3, 1, 2617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*n + 20 = 2*c, 44 = 4*c + 3*n. Suppose -8 - c = 4*z. What is the remainder when 25 is divided by -1*(-2 - z - 15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-2*h**2 + h**2 - h**2)*(-568*h - 610*h + 1177*h + 802).\nAnswer: -4*h**3 + 3208*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15085*s + 75416. Determine l(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/5))\/(j\/(j*j**(1\/2)))*j**(-4\/3)*j\/(j*j**(2\/13)) assuming j is positive.\nAnswer: j**(-151\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 23*o**2 - 24*o + 2. What is s(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (38 - 17) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*z - 109, 0 = 5*h + 2*z + 3*z - 105. Suppose 3*v = 3*r - 27 - 342, -621 = -5*r + 2*v. What is the highest common divisor of h and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-93)\/15 - -7) + 1. Let q(h) be the first derivative of -3 + 3\/5*h**2 - a*h - 1\/15*h**3. Determine z so that q(z) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30788 >= 1662611\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0 - 6*g)*(g**3 + 4*g**3 - 3*g**3).\nAnswer: -12*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-16 - ((20 - -15) + -27)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 26. Suppose p = -4*h + 8. Does 13 divide 3\/((-3)\/(-25)) + h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17*y**2 + 15*y + 5. Let d = -10123 + 10121. Let i(g) = 8*g**2 + 7*g + 2. Give d*b(w) + 5*i(w).\nAnswer: 6*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 6*q**4 - q**4)*((-1 + 0 - 1)*(-11*q + 8*q + 9*q) + (2 - 3 - 1)*(q - 2 + 2) - 3*q + 5 - 5).\nAnswer: -34*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 568054?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -9. Let k = b + 3. Let i = -5 - -10. Solve k*n = -i*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 40\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 2}. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 287\/10092?\nAnswer: 287\/10092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10 and (-6 - -4) + 1\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j - 34*j = -28*j - 342. Calculate the least common multiple of j and (0 - -32) + 7\/7.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*2\/(8\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 3*p**2 - 5*p - 6. Let a(q) = -q**2 + q + 1. Determine 5*a(v) + f(v).\nAnswer: 2*v**3 - 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 22*d. Let c(t) = t**2 + 3. Let u(z) = 1. Let q(b) = -c(b) + 3*u(b). Give k(q(m)).\nAnswer: 2*m**4 + 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(-12 - -2). Let t(j) = 2*j + 43. Let n(a) = -a - 14. Let b(l) = 7*n(l) + 2*t(l). Is b(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94.6 + -95. Is n less than -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22796*x**2 - 17543?\nAnswer: 45592*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23770 = -712*u + 712*u + 1503*u + 82387 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -231, -776, -1841, -3600, -6227?\nAnswer: -9896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 38 - (1 - (0 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 14. Suppose 0 = -4*k + 3*x + 28, 4*k + 4*x = 48 + 8. Let d be v(k). Solve 1 = d*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131125639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.2 (b) 25\/2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3633 + 53461. Does 71 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -13*r**4\/12 - r**3\/3 - 4*r**2 + 9*r. Is 32 a factor of u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-3 - (1 - 17). Let z be (-4 - -1)\/(8682\/362 - 24). Suppose -h + z = 3*p, -h = 8*p - m*p + 299. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*i - 7*i, -3*i - 3*j = 0. List the prime factors of -9 + 6 + 248 + -4 + i.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 - 41. Calculate the remainder when d is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(6*(-1)\/(-12)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 3*w**2 - 3*w + 5. Let x be i(2). Suppose 27 = 6*q - x*q. Let s = 2 + q. Calculate the remainder when 41 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2)\/(1 + (-1 - 1)). Suppose 0*z = -5*x - 4*z + 27, x = z + 9. Let t be 3\/x - (-540)\/(-525). What is the nearest to o in -4\/9, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1725)\/350 + (30\/(-140))\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 188, 2, -18.9, -667 in descending order.\nAnswer: 188, 2, -1, -18.9, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.2, -5, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 4*s**2 + 9 + 32*s - 32*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*h = -85*h - 10234 - 78638. What is the biggest value in -1, h, 2\/5, -2\/7, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -438*w**4 + 19257*w**3 - 190746*w**2 - 469959*w - 15870 = 0. What is w?\nAnswer: -2, -5\/146, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52852 and 149066?\nAnswer: 53961892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55362 plus -3.65944?\nAnswer: 55358.34056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23653 + -0.03653. Which is the second biggest value? (a) -1 (b) -2 (c) -7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*(-1 + sqrt(2299)))**2 + 0 + 4.\nAnswer: -352*sqrt(19) + 36801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2992, -12016, -27070, -48154, -75268, -108412, -147586?\n\"Answer: -3015*w**2 + 21*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.4, -1\/32, -4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**3 + 3*a**2 + 3*a. Let s(t) = -8*t**3 - 2*t**2 - 2*t. What is 2*c(l) + 3*s(l)?\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Let u = 3 - 3. Sort u, c, -5 in decreasing order.\nAnswer: c, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (12 - (-13 + 35))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {g: 1, w: 3, y: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9075818 - -12975798.0924182. Let k = t - 12975813.999639. Let i = k + 14. Round i to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -1 (c) -5 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/35 (b) 4 (c) -2 (d) 1 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*z = -457*z - w - 22, -z + 1 = 2*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 minus 156962668?\nAnswer: -156962667.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/585 and 14\/31095.\nAnswer: 404235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 21*n + 64 = 6*n, 568*s + 5*n + 0*n = 564*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -762 and 32882.8?\nAnswer: -25056693.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*v + 265*v + 331*v + 41*v - 89*v in the form k*v + z and give k.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8746\/5 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41898674 is divided by 10474668.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 + 9 = 4*n, -5*n - 2*p = -19. Let l(j) = -6*j + 7. Let i = -282 - -261. Let q(c) = c + 4*c - 6*c + 1 + 0*c. What is i*q(r) + n*l(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52867060217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62\/39 - 1\/13. Suppose -20 = -6*d - 8. Let s be (8 - 8)\/(1 - 1*d). What is the closest to s in 3, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*s**4 + 0*s + 2\/15*s**3 + 2\/15*s**2 + 0 - 2\/15*s**5.\nAnswer: -2*s**2*(s - 1)*(s + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -86, -10757, -3 in descending order.\nAnswer: 3, -3, -86, -10757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17\/1092 (b) -1 (c) -0.24 (d) 4 (e) 0.1 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 28*q**4 + 25332*q**3 + 2213776*q**2 + 20767728*q - 6114944 = 0.\nAnswer: -808, -86, -11, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 46*d**2 + 11693*d - 9448. Give t(-255).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 9 (b) 0.5 (c) 23\/8 (d) -12\/7 (e) 3 (f) -4 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s - 1 = -u, 0 = -2*u - 3*s + 2. Let x(q) = 20*q + 7. Let y(f) = 41*f + 15. Let v(o) = 13*x(o) - 6*y(o). Is v(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/21 and -67\/434?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(4 - (-16)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 - 232*s**2 - 26912*s - 3121792\/3.\nAnswer: -2*(s + 116)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-768)\/104)*(-12)\/(-3)*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -72*p - 12. Let g(l) = 29*l + 5. Suppose -2*b + 26 = -t, 3*b + 58*t = 54*t + 28. What is b*g(d) + 5*o(d)?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 453612, 453611, 453610, 453609?\n\"Answer: -p + 453613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 65. Let b be (105\/h)\/(1\/4). Let o = b + -13. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*(-6)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12638, -12273, -11908, -11543, -11178?\nAnswer: -10813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26 + 26.64. Let j = 26.899999532 - z. What is j rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-2\/9)*j))*j**(-11))**(-5\/3))**(-33) assuming j is positive.\nAnswer: j**(-5060\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69*55\/45 - (-2)\/(-6). Let i be (-6 + 1 - 2)*b\/(-12). Suppose -3*t = 4*m - 13, -4*t = -8*t + 2*m + 32. Calculate the greatest common divisor of t and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/5805 and 13\/35.\nAnswer: 40635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/1495 and 67\/15.\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - ((-6)\/(-15))\/(20\/200). Is d > -171\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -168830, -21, 0, 5, 1, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, i: 11, d: 5}. What is prob of sequence ddiu?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/p**(-14))\/p))\/p**24)\/(p\/p**(-2\/3))**(3\/10) assuming p is positive.\nAnswer: p**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 5*r**4\/4 + 170*r**3\/3 - 5*r**2\/2 - 170*r - 59. Factor w(s).\nAnswer: 5*(s - 1)*(s + 1)*(s + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 2*c**2 + c - 5. Calculate k(5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 7114*u - 60*u**4 - 2 - 24*u**4 - 2*u**2 - 7113*u to the form d*u + s + v*u**2 + m*u**4 + f*u**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 14*o - 3. Let w be f(13). Suppose 5*k + 2*u = 33, -w + 30 = 5*u. Solve -3*t - 1 = -k*r - 30, -4*t - r = -8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 1\/4, 180, 1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 908540.3l?\nAnswer: 908540300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029106948 rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5827572\nAnswer: -1\/5827572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 + (-86 - -88 - (3 - -1 - -63)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/18 + 1 + 2\/(-3). Let n = 556 - 286. Suppose x*w + n = 16*w. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(-2*s + 0*s + 4*s) + (-10*s**2 + 2*s**2 + 34*s**2 + s + s**2 - s + (6*s**2 - 3*s**2 - 2*s**2)*(0 + 3 - 1))*(6 - 4 - 3).\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and ((-496)\/(-3))\/((-60)\/(-450))?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, q: 3, o: 3}. Give prob of sequence rro.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103193?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 385 = -4*g, d - 15*g - 141 = -10*g. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 789.66 or 1?\nAnswer: 789.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45560 and 12920?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 4*k**2 + 21*k - 17. Is l(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -3 (c) 1 (d) -2.66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-2)*(-8)\/(-12). Let x(v) = v**3 - 3*v**2 + 2*v + 3. Let j be x(3). Suppose u = s - j. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 + 46*a + 20. Let k = -1808 - -1820. Give x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y + 9. Let x be 3 - (-2)\/(-2) - -1. Is y at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1137, -2242, -3313, -4350, -5353, -6322, -7257?\n\"Answer: 17*m**2 - 1156*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -3 (c) 7 (d) 14656\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 46*u**2 + 82*u - 26. What is s(-21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 + (18 - 34) - -5) + 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 929 - 933. Sort -5, -51, u in decreasing order.\nAnswer: u, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 + 112*s**2 + 236*s + 120 = 0. What is s?\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15569758947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b**3 - b**2 - b - 1. Calculate h(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13842492 a multiple of 1403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, -3\/16, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 142 = 206. Suppose 20 = 5*m, -4*p = -2*m - 2*m - q. What is the remainder when p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + a**2 - 4. Suppose 3*m + 3 = -5*b, 4*b + 4*m = -0 + 4. Let u be 1\/b*0*1. Calculate z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12246 - -12266) + (-1 - (0 + 28))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17, 40, 101, 218, 409, 692?\n\"Answer: 3*t**3 + t**2 - t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(40 - 40 + 6*h**2)*(-410 + 204 + 208 + 623*h).\nAnswer: 3738*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*a - a + 9, 0 = -5*a - 4*f. Let v be 1\/3 + (-68)\/(-12). Put a, 2, v in descending order.\nAnswer: v, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 - 184.000131. What is x rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 90355 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2. Let o(j) = -j - 4. Let f(m) = -1. Let s(n) = 20*f(n) - 5*o(n). Calculate c(s(r)).\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566725 is divided by 12880.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 11*x**2 + 11*x - 5. What is u(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -1\/3*r**3 + 5\/2*r**2 - 5 - 21*r. Let q(d) = d**2 - 5*d + 2. Let h be q(3). Give m(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/11 (b) -0.5 (c) -118 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -5, -9, -7, 1 in ascending order.\nAnswer: -53, -9, -7, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2193 divided by -17000?\nAnswer: 129\/1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 + -12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*u + 17*u - 348080. What are the prime factors of u?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-3 - -1)) + 47 - (-3219 + 3226)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-360)\/(-108)*(-1 + 4). Let z be 25\/j - (-1)\/6*3. Solve -5*c + 28 = z*i, 2*c - 16 = 4*i - 2*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -85*f - 3. Let m(b) = -85*b - 2. Calculate 3*m(j) - 2*q(j).\nAnswer: -85*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 1. Let s(r) = -2*r - 1. Let d(b) = 7*i(b) + 4*s(b). Let w be d(-5). Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 12*p**3 - 4*p**2 - 9*p - 248. Let d(x) = -11*x**3 + 3*x**2 + 6*x + 248. Let o(b) = 3*d(b) + 2*r(b). What is the derivative of o(j) wrt j?\nAnswer: -27*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77827480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-24))\/(1\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660 < 2661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-12))\/((-3)\/((-54)\/(-8))). Suppose -s*x - 7*x = -4*x. What is the derivative of -3 + w**4 + x + 19 wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.051706?\nAnswer: 0.051706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 343 = 591 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-81))\/((-14)\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12c1b22 + 2?\nAnswer: -12c1b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2311819086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 + 10*g**4 + 16*g**4 - g**2 - 42*g**4 + 1 + 20*g**4 to the form v*g + m*g**3 + a*g**4 + c*g**2 + w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -219 divided by -3917649\nAnswer: 73\/1305883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*q + 81*q - 36*q - 2 + 167*q**2 - 13*q**2 in the form n + i*q + x*q**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h - 39*h = -3*g + 10, -16 = 2*h - 4*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114858531 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-2))\/(2248\/(-16)). Let j = 579\/45803 + a. Is j smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295679, 295678, 295677?\nAnswer: 295676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-644 - 59 - 78)*(3*i - 7*i + 3*i).\nAnswer: 781*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(2 + (sqrt(1088) + 1)**2).\nAnswer: -2182 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712422057.\nAnswer: 3, 103, 137, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 22 - 22 = 0. Suppose -4*f + v*f - f = 0. Solve f = -2*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuqq when four letters picked without replacement from qqquu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z - 8. Let w(x) = -16 + 1 + 2*x**2 + 3*x + 16. Let i be w(z). Solve -i*u + 10 = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 4*d**2 + 4*d. Suppose 2*p + 4*n = -6, n + 4*n + 5 = -3*p. Give h(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 4*n + 4. Let w = 10 + -6. Let t be v(w). Let g(x) = x**2 + x + 4. What is the units digit of g(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 356, -2, 4, -0.1 in decreasing order.\nAnswer: 356, 4, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 4*r**2 - 5*r + 2. Suppose -2*v - 3*g = 20, 0*g + 24 = -4*v - 2*g. What is the smallest common multiple of o(v) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13977.2 + 13977. Which is the closest to 0.1? (a) -2 (b) 180 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*(-5)\/(-5)*(-28)\/(-1680)*5\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324184116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3155201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12900147 and 9?\nAnswer: 38700441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -234254.\nAnswer: -234254, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m - 3. Let z be t(-13). Let a = z - -282. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 0*g = g + 29, -30*b - 446 = 4*g for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11 - 9 + 41*a + 39*a - 82*a. Let u be w(-9). Calculate the smallest common multiple of (u - 85\/(-5)) + 3 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - p - 61 = p, p = -3*m + 30. Suppose 3*o - m - 1 = 0. Suppose 5*j = 3*v - 187, o*v + 3*j = -j + 228. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -6*(-2)\/2. Let j = -11 + v. Let n(q) = 3*q**2 - 9*q + 35. Let t(x) = 4*x**2 - 13*x + 49. Let d(l) = 7*n(l) - 5*t(l). What is d(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwhwwwwwwwwwwwwww. What is prob of sequence whw?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217505 is divided by 2364.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-20 - (-1602)\/81)*-9*13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5098, 4165, 1640, -3275, -11378, -23467, -40340?\nAnswer: -62795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49143724 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10*u\/u**(2\/9))\/(u**(-9)\/u**(-15)) assuming u is positive.\nAnswer: u**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12056301 less than or equal to 12056292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -2*l**6\/5 - 4*l**2 - 17*l. Differentiate s(i) with respect to i.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 10 in descending order.\nAnswer: 10, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1764))\/(sqrt(12)*2*-6).\nAnswer: -7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from kfrxphp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60960 and 2604?\nAnswer: 13228320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40*((-819)\/18)\/(-91)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4746 to two dps.\nAnswer: -2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 1:17 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -462557, -462441, -462325, -462209?\n\"Answer: 116*l - 462673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4982350*l**2. Let o(a) = -20*a**2. Give z(o(t)).\nAnswer: -1992940000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5521817296 to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*a, -17*j + 12*j - a + 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 64.8?\nAnswer: 1.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -45. Suppose w - 2*k - d = -4*w, -4 = k. Find the third derivative of -8*t**5 + 11*t**5 + 0*t**2 - 16*t**2 + 12*t**w wrt t.\nAnswer: 900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/3 (b) 1\/4 (c) -1\/29 (d) 2\/13 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 22936768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 911340 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**2 - 2*o. What is u(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 22*i + 9. Let w(g) = -8*g**2 + 43*g - 15. Let k(s) = -11*j(s) - 6*w(s). Let c be k(5). Solve -c*f = -10*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**6\/120 - 13*s**5\/60 - 5*s**4\/6 - 7*s**3\/6 - s**2 - 681*s + 2. Determine v(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 473 + 17*k + 180 + 139.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*c + 16*c - 2*c)*(3*c - 5*c**2 - 3*c).\nAnswer: -55*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13322727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 16*o + 24 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 945622.7 days?\nAnswer: 81701801280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -62, -119, -196, -293?\n\"Answer: -10*u**2 - 7*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**3 - 4*s**2 - 2. Let w(m) = -3*m**3 - 3*m**2 + 2*m - 3. Let a(d) = -3*j(d) + 4*w(d). Let g(o) = -3*o**3 + 9*o - 7. What is 7*a(x) - 6*g(x)?\nAnswer: -3*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 340298 times -0.68?\nAnswer: -231402.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 394435.6 litres in millilitres?\nAnswer: 394435600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**5 - 260*p**4 + 1635*p**3 + 6320*p**2 - 36980*p + 39600 = 0.\nAnswer: -5, 2, 9, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18755388*m*q**2 + 2*m*q - 212*m + 1408*q wrt q.\nAnswer: 37510776*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/1287)\/(0 - ((-14)\/(-6))\/7)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5457 + 5400 - 2034 - 2343 = -108*p for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 854363309 from 520.\nAnswer: -854362789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {p: 1, a: 2, h: 1, b: 1, e: 2, j: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12342 and 189231658.\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k. Let p be t(-3). Let n(w) = 3*w**2 + 46*w + 220. Let g be n(-10). Calculate the greatest common divisor of p and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 11*b - 5. List the prime factors of t(20).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 + 4)*(5*m + 38*m - 12*m)*(-3 + m + 3).\nAnswer: 372*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 84 = j. Suppose 0 = 24*y - j*y. Solve -4*b + 2*b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 + 3 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 598 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-8)*k)\/k)\/((k*k\/(k**(-7\/4)\/k)*k)\/k))\/(k**8\/k**(-2\/9)))\/((k**3)**(4\/9))**35 assuming k is positive.\nAnswer: k**(-2399\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*t + 695 + 13*t + 13*t + 14*t + 16*t as b + k*t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.4. Suppose 5*l - 65 = -2*y, 4*l = -0*l - 5*y + 69. Let h = l + -14. What is the biggest value in 2\/13, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38566321?\nAnswer: 37, 1042333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*c - 176, p + 188 = 3*c + 79. Solve 38*x - c*x = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27578992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 700252193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/26026 and 9\/2639.\nAnswer: 754754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 8903?\nAnswer: -20\/8903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woowjk. Give prob of sequence kjwo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -231835 divided by 46367\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 29 - 37 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.7, 0.03, 5 in descending order.\nAnswer: 7.7, 5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1903264 divided by -5407.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*a - 435*a - 141*a - 270*a - 124735 = 0 for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (88\/10)\/(10\/25). Suppose -5*u + 0*u = -s + 205, 5*s - 1085 = 5*u. What is the highest common divisor of x and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9981 and 31.4?\nAnswer: -94.14034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, -2\/5, -3\/2, 0.02, -6, 3 in descending order.\nAnswer: 3, 0.02, -2\/33, -2\/5, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5 - 13002*u**4 - 681120*u**3 - 2568392*u**2 - 2516352*u = 0?\nAnswer: -48, -2, 0, 6553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(10 - 228\/19). Solve f = 3*j - 4*j - 5*a + 3, -a - 15 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*z - 27, 129 - 114 = -3*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 232 + 238. Let v = -8 + 8. Solve v = -4*d - 2 - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6083531*d*l - 7911582*l wrt d?\nAnswer: 6083531*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -108098.3 to the nearest one hundred.\nAnswer: -108100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o + 3. Let m = -20 + 17. Calculate r(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-5) - (7 - (-4 + 14)). Let i(m) = 3*m**2 + 4*m - 4*m**2 - 3 + 1 + 0. Let k be i(3). What is the closest to k in 0.3, -1\/3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*d - 3, -2*d - 1 = -4*o - 3. Is (-4)\/((-8)\/402) + o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 455.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 20\/(-16))*-4. What is the units digit of 1\/(k\/10) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 8*z**2 - 2*z - 5. Let t be a(8). Let f = t - -55. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/30)\/(2376\/(-18144)).\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 10. Let l be s(7). Let z(n) = -n**3 - 27 + 23 - 11*n**2 + 5*n + 12*n**2. Calculate z(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let d(f) be the second derivative of 0 + 1\/6*f**4 + 5\/6*f**3 + 190*f + 0*f**2. Determine -2*d(t) + 10*m(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 3091614*s\/7 + 3091612\/7.\nAnswer: 2*(s - 1545806)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21763 or -348215\/16?\nAnswer: -348215\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (1*sqrt(850) + sqrt(850) + sqrt(850))\/sqrt(2)*-1).\nAnswer: 15 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 7*x + 12. Give y(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -20) + (-41 - (6 - 52)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/9, -1, 38?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 - 5*h**5 - h**5 + h**2 + (0 - 2*h + 0)*(0*h**2 + 2*h**4 + 0*h**2) + h**5 + 0*h**5 - 3*h**5.\nAnswer: -7*h**5 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0)\/2 + 235. Let c = n + -458. Let h = 319 + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:48 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 39. Let w be (-1 + 0)\/(2\/(-8)). Suppose -w*f = -b*f - 1000. What is f rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -19) + 1 + 0 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/5 + (-3)\/(-3). Let u = -0.45978 + -0.04022. Which is the nearest to -1\/2? (a) 3\/8 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31815 + 38?\nAnswer: 31851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -19*i. Let s(l) be the first derivative of 63*l**2 - 2816. Determine s(b(h)).\nAnswer: -2394*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 556931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.621 - -0.109. Let t = 21.73 - m. Is 1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - (-2 + 7 + -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 216\/35 (b) 0.6 (c) -157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/619 + 1248\/3095. Is l > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (0 - -1 - 5). Suppose 10*u - 5*u = 0. Suppose u = -4*y + 5*z - 7, 3*y = d*z - 3 - 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:48 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 483*c - 403. Calculate z(-2).\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48008735 to the power of 1\/2, to the nearest integer?\nAnswer: 6929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = k + 7, 0 = 4*h + k + 1. Suppose 3 = 2*s - h. List the prime factors of ((-21)\/(-6))\/(s\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t - 1\/20*t**5 + 0*t**4 + 2*t**2 + 0 + 0*t**3. Let n(j) be the second derivative of -j**3\/6 + j - 5. What is n(h(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 14*u**2 - 22*u + 44. Calculate the remainder when 114 is divided by w(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**7\/42 + h**6\/30 - 3*h**5\/20 - h**4\/12 + h**3\/3 + 24*h. What is y in p(y) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/14 and -79\/16076.\nAnswer: 112532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 4*u**2 + 10*u + 8. Suppose -49*l + 12*l - 222 = 0. Give s(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/72 and 115\/4284.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 2*h + 3 + 854*h**2 + 11 - 874*h**2 + 0*h to the form a + x*h + y*h**2 and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 35 = -4*c. Let o(u) = -4*u + c*u + 2 + u**2 - 1. What is the units digit of o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 682197655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38512986 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820 = -126*o + 13*o - 875 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 315?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1361\/9 + -151. Suppose -h = 3*h. Which is the smallest value? (a) -0.5 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*h, -3*h = -3*a + 54. Let i be (5 - 4) + 1*2. Suppose -w = -5*w + 5*z - 9, 3*w = -i*z + 27. Calculate the least common multiple of w and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 4*z - 2, 0 = -2*f - 2*z - 6. Let a be (-1 + -3)\/f - -10. Solve 2*n - a = 3*x - 0*x, 5*x = -4*n + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/12)\/((-3)\/2) + 98\/49. Which is the biggest value? (a) -1\/5 (b) y (c) 750\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9d (base 14) to base 2\nAnswer: -10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11*i**3 - 11*i**2 + i + 11. Let m be l(-11). Let c be (-1)\/(-2)*m\/(-20). Let x = -399 + c. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -39.9. Let x = -0.9 - 4.1. Let h = -8 - x. Put h, -2, q in descending order.\nAnswer: q, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67973901 rounded to the nearest 10000?\nAnswer: -67970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 8\/(-2) + 2. Suppose 0 = c + l - o - 8, 0 = 4*c - 2*l - 8. What is the third derivative of 0*v**4 - 3*v**2 + 0*v**c + 2*v**2 - 2*v**6 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from brdbbdddd?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 5*s**2 + 3*s**2)*(3 - 13 - 46 + (1 - 2 - 2)*(0 - 2 + 4))*(1 + 0 + 5).\nAnswer: -744*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z - 775. Give t(-55).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*d + 628*d = -14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -43*h**2 - 2*h**2 + 46*h**2. Let l(z) = z**2 + 4*z**2 + 4*z**2 - 2*z**2. What is m(l(x))?\nAnswer: 49*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -67*f + 291. Calculate the least common multiple of 21 and n(0).\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 0.556.\nAnswer: 0.06116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*k + 2*k + x, 2*x = 4*k - 20. Calculate the common denominator of (k - 293\/(-3))\/4 and 55\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -318 and 132765.\nAnswer: -42219270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2\/11 (c) 3\/32 (d) -1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -93 + 85 + 9 + 1 - (8 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7094*a + 7830*a - 10530*a to the form v + x*a and give x.\nAnswer: 4394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - 38) + (7 - (-2 + 4) - -2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-11)\/((-2178)\/(-12))*(-42)\/7?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - 7*n - 8. Let p(k) = -3*k**2 + 8*k + 9. Calculate -5*p(y) - 6*v(y).\nAnswer: -3*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.025 and -33?\nAnswer: 0.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78005769727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 63 = -6*h. Let p be h\/3 + 98\/34. Let t = 1\/2 - 1\/4. Which is the second smallest value? (a) p (b) 4\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 16) to base 4.\nAnswer: -11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4134033 + -1303?\nAnswer: -4140341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -0.9. Let s = -0.2 - n. Let z = -84 + 86. What is the closest to z in 2, s, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3233302 + 210?\nAnswer: 3300112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1274 and 490?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*i - 6, -i - 2 = -0*m - 3*m. Suppose 20 + m = 5*o. Solve o*s - 5 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2736) - (2 + -1 + sqrt(2736))) + -1 + -3 + -3 + (sqrt(2736) - sqrt(2736)*1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 41747358 = -0*r. Suppose -a - r = 2*z, -2*z - 3*a = -z + 6957883. Let k = 742105 - z. Round k to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*h + 13 = -0*f, 2*f + 2*h = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237757.\nAnswer: 3, 239, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 300 = -5*o, 2*w - 182 = 3*o - 0*o. Let x be o\/5*(-9)\/126. Let r = -3113\/630 + x. What is the common denominator of r and 55\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431049 + -14138\nAnswer: -445187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 469 = 335. Let j = 499 + z. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (893\/188)\/((-2)\/(-8)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.2, -5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 141636.\nAnswer: 141636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1021, -1007, -995, -985, -977, -971?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -5*x - 106. Let k = -30 + x. Let s = 20 - k. What is the nearest to s in 1, -3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3849*j + 198336 = -3837*j. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u + 1078*u**3 + 13*u - 1097*u**3 + 18*u.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(1\/6*-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c2513 (base 13) to base 16.\nAnswer: af9b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 718, 740, 762, 784, 806, 828?\n\"Answer: 22*d + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 529 - 179 + 16*a - 175 - 177 in the form l*a + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1596 = 2669*y - 2802*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**2 - b**2 - 14*b**4 + 2*b**2 wrt b?\nAnswer: -336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/23 + 58538*l\/23 - 3049384\/23 = 0.\nAnswer: -29321, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(0*z**2 + z**2 + z**2) + 743 - 1456 - 11047*z**2 + 713.\nAnswer: -11051*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186192756 a multiple of 3807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 + 24829*b**2\/4 - 4573085*b\/2.\nAnswer: -b*(b - 24455)*(b - 374)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026412 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -31*y + 66. Calculate the remainder when 127 is divided by g(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/60 and 103\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 4 + 3 + 0 + 3*c**3 - 2 + 2 + c**3 + (-c - 4*c + 4*c)*(c**2 - 2*c**2 + 3*c**2).\nAnswer: 2*c**3 + 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -231*(3 + 26\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowowupmgmupggwmpgpo. What is prob of sequence ogum?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1275, 1273, 1271, 1269, 1267, 1265?\n\"Answer: -2*s + 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**6\/240 - h**5\/120 + 15*h**2 - h. Let d(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/35)\/(6\/(-80)). Let z = -16 + i. Suppose 2*x - 5*x + 33 = z. Calculate the greatest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-36) + 142\/8. Let n be (1 + 14\/(-2))*(-12)\/m. Suppose n*g + 35 = -3*g. Put 2, -1, -2, g in ascending order.\nAnswer: g, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32211451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -n - 0*n, 0 = v + 4. Suppose 0 = -2*f - 2*f + n. Let p(y) = -6*y**3 + y + y**3 + f*y**2 + 4*y**3 - 2*y**2. Give p(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 6. Let l be d + 69\/3 + 1. Suppose 3*p - 460 = -2*p. What is the highest common factor of p and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j = -38504 - 141456. List the prime factors of j.\nAnswer: 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2597*g**3 + 2*g**2 - 2*g - 2. Let o(a) = -36978687*a**3 - 28479*a**2 + 28479*a + 28479. Determine -2*o(v) - 28479*q(v).\nAnswer: -2589*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5148504mm to kilometers.\nAnswer: 0.0000005148504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7945118761 + 1.7945. Round j to seven dps.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 6*a**2 - a**2 + 1. Suppose m + 3 = -2*m. Let h be v(m). Put h, 1, -1 in ascending order.\nAnswer: h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, c: 1, j: 3, i: 4}. Give prob of sequence jhhj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83617.43 - 84549. Round u to the nearest ten.\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 14. Let u be b(-7). Suppose u = z + 3*z + 24. Let c = -2.87 + -0.13. Sort c, 0.1, z in decreasing order.\nAnswer: 0.1, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405.591 centuries in months?\nAnswer: 1686709.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 26 - 2 = 0. Let m(n) = 4*n - 12. Let c be m(9). Let w be (-6)\/c + (-9)\/(-4). Solve f = -5*i + w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bat when three letters picked without replacement from aaababot.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i - 12. Let p(c) = -c**2 + 4*c + 3. Let v be p(4). Suppose 0 = -3*s + 5*z - 12 + 3, 6 = -2*s - v*z. Sort i, s, -1\/5 in ascending order.\nAnswer: s, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 10:15 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031.812 years to millennia.\nAnswer: 2.031812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 17 = -5*m, 2*m = 23*n - 18*n + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1130603047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37608 = -58*s - 24848. Suppose 0*i = 3*i - 420. What is the greatest common divisor of s and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 28. Let r(y) = 310138*y**2. Calculate h(r(c)).\nAnswer: 620276*c**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 98106800*p - 601559012890000.\nAnswer: -4*(p - 12263350)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10*c + 52 = 4*v, 71 = 5*c + 2*v. Suppose -c*h = -h. Suppose -3*i = -18 + 6. Solve -2*b + 3*l - 2 = 0, h = 2*l - 0 + i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*a - 458, -a - 4*v + 130 = v. Suppose 0 = 8*b - a + 46. Calculate the greatest common factor of 65 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33935, 4, 1 in descending order.\nAnswer: 33935, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 times 1.87?\nAnswer: -6.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(4*s - 3*s - 2*s)*(1638*s**2 - 1646*s**2 + 4*s**3 - 2*s**3) as v*s**2 + i*s**3 + t*s**4 + o + g*s and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 566 - 359 = 0. Let i = -112 - h. Suppose 3*a = 2*a + 25. What is the remainder when i is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r - 1. Let c(h) = 839*h**2 + 14*h + 4. What is -c(f) - 4*w(f)?\nAnswer: -843*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**4 - 8*r**4 - 10*r**4 + (r - r + r)*(r**3 + 3*r**3 - 3*r**3).\nAnswer: -22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 11. Let j be p(7). Suppose j*o = -0*o - 2400000. What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141848029397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126945 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/40*-14*(-15)\/(630\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 2, w: 4, d: 8}. What is prob of sequence gg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3356765283763\/5010 - -670013033. Let f = -288\/167 - i. What is the common denominator of 49\/36 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqeqqqqqqqqqqqqqeqq. Give prob of picking 3 q and 1 e.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/(-85))\/(2\/10). Suppose s*z = -3*z + 25, 2*h + 4*z = 222. Round h to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**2 + 8*g**2 + 0*g**2. Let b be v(-2). Let t = 16 - b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let s(j) = -5*j + 15. Let g be s(3). Suppose y + r*y = g. Solve y = -a + 3 + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 2. Let g(s) be the second derivative of -s**2\/2 + 2*s. Suppose -54*d = -43*d + 6226. Let y = d - -561. Calculate y*g(z) + p(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7203787.\nAnswer: 2039, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5980.425 centuries to years.\nAnswer: 598042.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 108*f - 102*f + 2*b, 5*b = f - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 2. Let g be z(-2). Suppose g*o = 14 + 10. What is the remainder when o is divided by (6\/(-9) + 0)\/((-10)\/45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:44 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*u**4 + f**2*u**2 - 2345*f**2 - 227522935*f*u**5 - 162*u**2 + 16 wrt u?\nAnswer: 48*f**2*u - 13651376100*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 156 = y. Suppose 0 = 5*k + 3*l - 364, 3*k = 5*k - l - 150. Let u = k - y. What is the remainder when 86 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*(w**5\/w)\/w*w)*w**(-1)*((w**(-1)\/w)\/w)**39 assuming w is positive.\nAnswer: w**(-122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 + 18*b**2 - 9*b - 30 = 0. What is b?\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 2 + -1 + 5. Suppose -w + 4 - l = 0. Let m(o) = -o**3 + 2*o**2 + 2*o - 2. Determine m(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/11))\/q)\/q*q**(-1\/10)*q)**(3\/5) assuming q is positive.\nAnswer: q**(-93\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = 4*n, 0 = -3*n - 6*v + v + 15. Suppose n = 2*z - 6*z. Solve 5*l + 14 = -3*c - 9, z = 4*c - 4*l - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 33*v - 9. Suppose -4*c + 7*c - 2*f = 14, -2 = -c + 2*f. Is 24 a factor of z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-729)\/(-432))*-1\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)\/h**20)\/(h*h**(2\/15))**(4\/7) assuming h is positive.\nAnswer: h**(-1748\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. Suppose -o*d = -4*m - 40, 25 = -2*m - 3*m. Let q = -0.1 - 0. What is the smallest value in d, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2669 is divided by 149.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-28 - -48) - (41 + 0).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -340 and -133551613.\nAnswer: -133551953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -59ab (base 13) in base 8?\nAnswer: -30547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:16 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let w be (-3)\/((9\/2)\/(-3)). Suppose -33*t + 6 = 2*q - 31*t, 4*q - 4*t = 28. Put w, q, z in decreasing order.\nAnswer: q, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**4 - 8*k**3 - 785*k**2 - 24606430*k?\nAnswer: -36*k**2 - 48*k - 1570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -32.7?\nAnswer: 27.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 500 = 2*p + 3*d, 498 = 2*p - 2*d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*s = 161 - 27, -2*f + 53 = -s. Suppose 20*v - 23*v = y + 3, -5*y - 5*v - f = 0. Are y and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 4*f + 21, -13 = 60*i - 62*i + 3*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 76. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*t - 100, 52 = -4*a + 5*t + 107. Calculate the greatest common factor of a and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3492940 divided by 873235.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744082 is divided by 49602?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58 or -2273?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113957 is divided by 1075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 + v**3 - 3*v**3 + (3*v - v - 3*v)*(-v**2 + 4*v**2 - 5*v**2) + 4*v**3 - 11*v**3 - 3*v**3 as q*v**2 + t + m*v**3 + p*v and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -316 + 319. Solve d*r - 1 = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-21)*(336\/(-24) - -17)*-1?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*r + 60. Suppose -925 = -r*d - 253. Let y = 1 + 7. Calculate the least common multiple of d and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtqxqxmmgtmk. Give prob of picking 1 q, 1 t, and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 9*f = -4*u + 20, u - 32 = -4*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(187) + (sqrt(187) + (sqrt(187) - (sqrt(187)*2 + sqrt(187))))*5 + sqrt(187)))\/(sqrt(110)\/(-4*sqrt(1210))).\nAnswer: -264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(7\/14 + (-4)\/2). Let w be (-2)\/g*9*47\/3. Let r = 51 - w. Solve r = -4*u + 3*u, 4*f = -5*u - 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -55 (b) 184 (c) -2.5 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.9 + -15. Let d = -2.9 + u. Let r = 0.4 - 0.4. What is the closest to d in r, 3, 1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-6 + 12 - 3 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 528.5 + -529. What is the closest to -0.1 in -3, -6, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 1. Let z(a) = -728*a**2 + 1381*a + 7. Let q(s) = -7*v(s) + z(s). Find the second derivative of q(x) wrt x.\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2324629, 2324614, 2324593, 2324566, 2324533, 2324494?\n\"Answer: -3*n**2 - 6*n + 2324638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 25 - (-15 + 21)) + (-4 - 1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - 85\/(-10) - 130642\/(-4). Suppose 8*n = -15*n + d. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/((-496)\/336)*1\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*v - 10 = -340*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -34?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318148245 to the nearest integer?\nAnswer: 17837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = -2*r. Suppose -d + 0*d = -r. Calculate the smallest common multiple of d and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -4. Suppose 2*h + 119 - 445 = -4*y, -320 = -4*y - 4*h. Let b = -36 + y. Calculate the remainder when b is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7132 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 5, r: 4, f: 1, b: 1}. Give prob of picking 2 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 5, 88\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72 + -609?\nAnswer: -67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzlilzllszalflzllll. Give prob of sequence il.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*a = 14. Let f = -108 - -108. Suppose f = 2*v + 71 - 119. What is the remainder when v is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -j + 5*j. Let g(r) = 27 + 15*r - j - 1. Let z(n) = 7 - 4*n - 2 - 3*n. Give 6*g(h) + 13*z(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26132 or 26047?\nAnswer: 26132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -502 + 979. Let l = p + -477.000257. What is l rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18160*r**4 - 142*r**3 + 18*r**2 - 17420051*r.\nAnswer: -217920*r**2 - 852*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370250157 by 17.\nAnswer: -21779421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) + sqrt(528) + sqrt(528)*-1)*5)\/((sqrt(33)\/sqrt(3)*5 - sqrt(11)) + 3*sqrt(11)*-1).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (40520\/(-2))\/(-8 + 9 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(245) - (sqrt(245) + sqrt(245) + 0 - sqrt(245))*-2) + sqrt(245) + (4 + 3*(sqrt(5) + (sqrt(80))**2 + sqrt(5)))*3.\nAnswer: 46*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1292 and 16524.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.824 rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 4*b\/7.\nAnswer: 2*b*(7*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 536 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/7 (b) -5\/3 (c) -0.1 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*l + 141221 = -2197*l - 74353 for l.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 403239659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 3*v**2 + 768*v + 421. What is k(-26)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -26 + (11 - -4) - (1 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14)\/(-21) + (129\/(-162) - 0) and -173\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 + -67. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/4 - 2*a**3 - 5*a**2\/2 + 9*a + 410. What is w(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 87*s - 375. Let l(q) = 7*q. What is the least common multiple of l(2) and w(5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 6*k**2 + k - 3. Let m be w(-3). Let a = m - 17. Let c(g) = 42*g - 7. What is the hundreds digit of c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pll when three letters picked without replacement from {l: 3, p: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-134)\/(-8) + (-7)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.068327 rounded to 3 dps?\nAnswer: -1.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1636131 divided by -3.\nAnswer: 545377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 5. Let c(t) = -10*t - 26. Suppose -l = v + 21, 3*v + 44 = -v + 4*l. Suppose 2*p - 5*f + 26 = 0, 4*p - 4*f = -p - 31. Determine p*c(o) + v*n(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7144, -7125, -7088, -7027, -6936, -6809?\n\"Answer: c**3 + 3*c**2 + 3*c - 7151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084751?\nAnswer: 3, 77213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45441.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = 5*r + 1, -4*r = 4*w - 24. Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - 10) - (-93 + 36 - -67)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18846\/67 or -280?\nAnswer: -18846\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 3*o - 330. Let s = -1 - o. Calculate the remainder when s is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 10*p + 2112. What is the remainder when 100 is divided by ((-15)\/(-4))\/((715\/p)\/(-13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 69*t + 2*t**2 - 121*t + 49*t)*(-2*t - 2*t**2 + 2*t + (4*t + 0*t - t)*(2*t - 3*t + 3*t)).\nAnswer: 8*t**4 - 12*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k - 31*k + 11*k)*(-2 - 4 + 4)*(-k + 6*k - 4*k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34870, 34868, 34864, 34858, 34850, 34840?\n\"Answer: -l**2 + l + 34870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -20729*s + 5410263. Calculate j(261).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 20, 3*g - 2*c - 16 = 5*g. Let n(y) = 7*y + 16. Give n(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1206*p + 2128 = 1220*p. What is the least common multiple of p and 228?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.41? (a) 6 (b) -11 (c) -305 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33209 - 33242. Sort i, 5, 9 in increasing order.\nAnswer: i, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1776, 7071, 15896, 28251?\nAnswer: 44136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88710 (base 9) to base 5.\nAnswer: 3341041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28021752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122179?\nAnswer: 17, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2739?\nAnswer: 1\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**5*s*s\/(s\/(s\/s**(-1))))**31\/((s*s**(1\/4))\/(s**(-7)\/s)*(s**(2\/7))**(2\/141)) assuming s is positive.\nAnswer: s**(1064957\/3948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7981*m**3 + 144*m + 30?\nAnswer: -47886*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a meter in millimeters?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1499*r - 3. Let y be j(3). Round y to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13.6 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -45 - ((3 - 9) + 23 - 11).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/234)\/(1935\/2322).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14199662 by 2.\nAnswer: -7099831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millennium in years?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -85555 (base 10) to base 4\nAnswer: -110320303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Suppose -r*q + 12 = q. Let x = q + -2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-20 - -32) - 55?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-12)*(0 - 6). Let c be g*(-2)\/(-6)*21\/(-14). Suppose -2*i = -c*h - 66 - 233, -h - 5 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose 2*v + g - 2 = 0. Suppose 0 = -6*z + 68*z + 5*z. Sort v, z, -4, -2.\nAnswer: -4, -2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 28. Let u be (-39)\/(3 - 56\/o). Suppose -2*t - 268 = -5*t - 4*p, 4*t = p + u. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11211000 + 11?\nAnswer: 11211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/(-1404)*(-52)\/(-48).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87097110 to the nearest integer?\nAnswer: 9333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -22) + (-1 - (0 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(300) - -1*sqrt(300))**2.\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + s**2 + 5505209 - 9074536 + 12016*s - 14478705.\nAnswer: -2*(s - 3004)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 - 7*r + 4. Let j be k(6). Let a be (-14)\/(-16)*(-27 - -35). Does 16 divide (-1 + a)\/((-314)\/160 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p**2 + 4*p + 3. Let g be u(0). What is the third derivative of 19*i**3 - 16*i**2 - 94*i**g - 2*i + 2*i**2 wrt i?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8798257, -8798256, -8798255?\n\"Answer: o - 8798258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2411, -4843, -7275, -9707?\nAnswer: -12139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1497 * 6869.\nAnswer: -1028.2893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6.6, 8587, -34?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = 4*o + 3, -2*d + 15 = 3*o. Let z(q) = -q**3 + 5*q**2 - 5*q - 2. Let a be z(d). Is (-3 + 3124\/4)\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5354 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*j - 1)*(-36*j + 57*j - 29*j) + 54*j**2 - 54*j**2 - 45*j**2 + 2*j**2 + 3*j**2 - 4*j**2 as g*j**2 + l + n*j and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.89317 to three decimal places.\nAnswer: -1.893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 3340099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207615 is divided by 5611.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19072238651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31\/2 - 1\/(-2). Suppose -3*h - h = -f. Suppose h*o = 11 + 5. Calculate the remainder when 5 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 4*m - 3. Give h(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64974 = -r + 5*n, -2*r + 3*n + 64980 = -r. What are the prime factors of r?\nAnswer: 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838263.\nAnswer: 3, 279421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/4))**(4\/11)\/(a**(-1))**(-4\/5)*a**(-2\/7)*a*a*a**(-5\/3)\/a*a*(a\/(a*a**(2\/11))*a)\/(a*a**2) assuming a is positive.\nAnswer: a**(-2654\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 6\/(-9))*(-5 + 2). Let a be (y - (-796)\/(-24)) + (-2)\/(-12). What is the common denominator of -143\/18 and (291\/(-90) - -3)\/((-2)\/a)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, 4, -4, -21\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.521 and -2.1?\nAnswer: -1.0941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5909038*q**4 + 2*q**2 - 5*q + 16770 wrt q.\nAnswer: -141816912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35173105807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r*z**2 + 41*r - 24*z**2 - 3 wrt z?\nAnswer: 4*r*z - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/6 (b) 2.621 (c) -2\/7 (d) 5 (e) 0.06 (f) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -89*d - 3410. Calculate a(-39).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*g + 46 = -290*g + 3*x, 4*g = -x + 42 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0 + (-1 + 2 - 4)*(-2 + 5 - 1))*(-3*r - 3*r + 4*r - 9) as q + p*r and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -78. Let l(d) = d**2 - 4*d + 2. Let m be l(4). Suppose m*w + w = 9. Calculate the highest common divisor of w and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 - 6*v + 117. Give l(-6).\nAnswer: -1359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**2. Let s(r) = -2*r**2 + 3*r. Calculate s(a(x)).\nAnswer: -242*x**4 - 33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23580 is divided by 253?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1608*g + 3*m - 36 = 1603*g, -g + 24 = 2*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31\/2? (a) -0.5 (b) -2\/5 (c) 0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*b = 26, 0 = -3*j + 4*b + 14 + 55. Factor 2*g**2 - 13*g - 5*g**2 - 10*g + j*g + g**2.\nAnswer: -2*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 1262*v - 69889. Give b(53).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k - 20, 10 = 4*s - 2*k. Does 55 divide 386 - (1\/(-5)*s - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 11*f - 1. Suppose -10*a - 63 = -33. What are the prime factors of u(a)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/118*4\/(-3). Let t = u - 130\/177. Which is the second biggest value? (a) 4\/5 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 148536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 572332 divided by 1?\nAnswer: 572332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 946357 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 496.476 years in months?\nAnswer: 5957.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 20*d**3 - 26*d**3 - 2154 + 26*d**3 + 2154 - d.\nAnswer: -20*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40597747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 < 1389092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/21 + 160*f**4\/21 - 1392*f**3\/7 + 10368*f**2\/7 - 24480*f\/7 = 0 for f.\nAnswer: -102, 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74*(-2)\/(-8)*4\/(-2). Let q = -23 - n. Suppose b - 8 = -3*b. Solve w - 3*p = -q, -5*p + 4 = b*w - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 81*z**2 + 9*z - 9. What is the tens digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104679346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/6 + f**3\/2 - f**2\/6 - f\/2.\nAnswer: f*(f - 1)*(f + 1)*(f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -10d?\nAnswer: -10e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 5*h**2 + 11*h + 7. What is i(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153084 + 65748 = -4559*k for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.395 - 0.215. Let w = 3.17999541 - h. What is w rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -56\/4037 (b) 2 (c) 2\/11 (d) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtxt when four letters picked without replacement from ttttttttxttttttxttt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, e: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (45 - (126 - (-12 + 16))).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b + 1520230*b**2 - 1520266*b**2 - 8*b**3 + 4 - 14*b + 32*b**4 + 18*b**5.\nAnswer: 2*(b - 1)*(b + 1)**3*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -573*a + 7. Suppose -t + 3 = 5. Let k be y(t). Let c = 2304 - k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 2793 + 2793.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(648)*-2)\/sqrt(9))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aggaaaagagggggga. Give prob of sequence aggg.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac (base 13) to base 16.\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6742*h**3*i + 15*h**2*i - 125*i wrt h?\nAnswer: -40452*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/14)\/((-1)\/2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 24 = 0. Suppose -r*y = -3*y - 140. Calculate the highest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930877 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(9\/(72\/16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -5. Suppose 4*b - 15 = -s, -4*s = 3*b - 7 - 1. Sort b, f, 1 in decreasing order.\nAnswer: b, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = -54*g - 3*j, 0 = -3*g + 504*j - 500*j + 55 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -44798690251 + 5\nAnswer: -44798690246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 95553530 minus 18884?\nAnswer: 95534646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) 2\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**3 - k**2 + k**2)*(-9 + 0 + 3)*(5 - 5 + 2*k) + 2*k**4 + 0*k**4 - k**4 to t*k**2 + x*k**4 + d*k + o*k**3 + c and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 49*p**2 - 1278*p + 271. Determine x(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 374 + -200. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63162 and 32274.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0 - 10*v**2 - 1\/120*v**6 + 0*v + 7\/30*v**5 + 8\/3*v**3 - 7\/12*v**4. Let s be k(13). Sort 5, -6, s in decreasing order.\nAnswer: 5, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(21\/(-168)*8). Suppose 0 = 5*l - 10, 4*k - 4 = -5*l - 2. Is 2 + k - (-3 + d) - -55 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4186697 divided by 4\nAnswer: 4186697\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 44*k**2 + 17*k - 48. What is q(0)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 752197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1393716903?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:07 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) 1 (c) -2\/25 (d) 2 (e) 1.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2211 - 2?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19845223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302776 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 7:17 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 6*f**4 - 2*f**2 - f**3 - 1 - 7 - 1 + 1 + 2 to m + s*f**2 + v*f**4 + a*f + n*f**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s - 9 + 9 - s**2 - 2*s**3 + 3*s to n*s + i*s**3 + m + z*s**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/(2\/4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198737660 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n + 4. What is the nearest to 2\/9 in n, -3, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + 74?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 4*a**2 - a + 3. Let f be z(-5). Let j = f - 22. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -105, -298, -569, -918?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -2001?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 6*p - 43 = -p + 5, 15*p = -0*d - 2*d + 129 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b + 323*b + 50*b = -481*b - 9801 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -4*y**3\/3 + 104*y**2 - y - 27. Calculate the lowest common multiple of 24 and h(25).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2775)\/(-67488) - ((-68)\/(-1596) - 8\/84)\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*y - 2, 3*y = -m - y + 23. Suppose 0 = 6*s + 5*s - 275. Suppose 14*g - 19*g + s = 0. What is the remainder when m is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 + 2*n + 0*n + 2*n - 2*n + n**3. Suppose -248 = 358*h - 2586 - 1242. Give x(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:26 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 259.1039 seconds?\nAnswer: 259103900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 48. Let z be (-8)\/(-6)*21\/x. Suppose -z*v + y + 88 + 62 = 0, 5*v - 4*y - 193 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 10*g + 5. Let v be p(8). Let q = v - 17. Suppose 0 = -3*k - 9, 4*u = -k - q*k + 17. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1514, 3004, 4462, 5882, 7258, 8584?\nAnswer: 9854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446851516.\nAnswer: 2, 37, 157, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 15. Let d(o) = -o**3 + 9*o**2 + 9*o - 3. Let p be d(10). What is the remainder when x(p) is divided by 1 + (-2 - -7) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522936.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -12 - 4 - -17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*t = 776 - 784, -u - t = 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g**5 - 8148*g**4 - 2836*g**3 + 53528*g**2 - 33534*g + 5436 = 0 for g.\nAnswer: -3, 1\/3, 2, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*k - 3*k + 19 = 0, 0 = 4*t + 2*k + 6. Suppose 4*m - 4 = 36. Suppose -5 - m = -3*w. Calculate the least common multiple of t and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1313, 2575, 3837, 5099, 6361?\n\"Answer: 1262*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l + 85. Let r(o) = 4*o - 28. Calculate j(r(i)).\nAnswer: 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/56*-10*5. Let c = 35 - q. Let t = 28 - -20. Calculate the remainder when t is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + l + 4*l + 1 to u*l + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z**2 - 4986*z + 1999. Calculate p(332).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 568*z**2 + 71461*z - 2682030.\nAnswer: (z - 30)*(z + 299)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y + 5. Let a(h) = -1. Calculate -5*a(g) - x(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 2*x**2 + 2*x + 1. Let p(r) = 17*r**4 + 10*r**3 + 10*r**2 - 10*r - 1595. Let u(w) = -5*f(w) - p(w). Differentiate u(o) wrt o.\nAnswer: -68*o**3 - 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (259 - 259 - 17*s)*(5*s - 28 + 28)*(-4*s**2 + s**2 + s + s**2)*(-2*s + s - s).\nAnswer: -340*s**5 + 170*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4\/9, -2, -3, 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*o**2 + 303*o**2 + 244*o**2 + 20*o**2.\nAnswer: 1466*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:50 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 473*f - 471*f + 46 = 0, 14 = -2*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p = 60*p - 35. Solve 0 = 3*t - p*u + 3, 4*t + 5*u - 11 - 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72807555 and 0.5.\nAnswer: -72807554.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0464 + -0.0215. Let w = -0.0049 + l. Put -0.3, -1\/7, w, 3\/4 in increasing order.\nAnswer: -0.3, -1\/7, w, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4748158 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**9\/22680 - y**8\/4200 + y**6\/675 + 95*y**3\/6 + y**2 + 7*y. Let h(s) be the first derivative of x(s). Factor h(k).\nAnswer: -2*k**2*(k - 1)*(k + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in decades?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 65 = 27*c. Let d = -62 + c. What is the second derivative of -3*u**3 - 38*u**2 + 38*u**2 - 13*u**d - 13*u wrt u?\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.555 and -3.5?\nAnswer: 2.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 679.6252km?\nAnswer: 679625200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 11:41 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Let w = u - -4.1. Let b = -2 + w. What is the second biggest value in b, 5, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 u when three letters picked without replacement from znvunzuunvznbnun.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 283031, -0.019, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4044*b*n*u**3 + 4385*b*n*u**2 - 12*b*n*u + b*n + 2*b*u**3 + 5*b*u**2 - 2*b*u - 2*n*u**3 - 2*n*u + 122*u**3 wrt u?\nAnswer: -24264*b*n + 12*b - 12*n + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2819, -33, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0354 from -32.\nAnswer: -31.9646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800 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: Expand (1 - 1 + 3*o)*(0*o - 4*o + 0*o)*(0*o + 0*o + o).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -11578251.\nAnswer: -59\/11578251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:57 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 54199352 divided by -10\nAnswer: -27099676\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:39 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64290, -66882, -69474, -72066, -74658?\nAnswer: -77250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 84*j**4 + 401*j**3 - 474*j**2.\nAnswer: j**2*(j - 79)*(j - 3)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2320 + -2317. Solve -c = -4*c + p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1583 is divided by 227?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 11577563 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.19 and 0.4.\nAnswer: 0.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*2)\/((6\/(-52))\/3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.194 and -0.285?\nAnswer: -0.05529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.8672 + -0.0078. Let c = v - -39. Round c to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*u - 9*u - 5, 2*u + 74 = -4*t. Which is bigger: -93\/5 or t?\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -10296 - 1626. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 4 + 19)*(0*b + 0*b + b).\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-7)*2282\/(-8313).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**19*f**(-3\/2)\/f)\/(f**15*f*f\/f**(-4\/7)) assuming f is positive.\nAnswer: f**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.50302ml to litres.\nAnswer: 0.00650302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5880\/288)\/(-49))\/(6*(-5)\/4).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 21 = 8*c. Let r(a) be the second derivative of -1\/6*a**3 + 11\/2*a**2 + 0 - 8*a. Calculate r(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30595986 and 61191972.\nAnswer: 61191972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 57197218.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6532\/639*4\/((-32)\/36)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53801217.\nAnswer: 3, 19, 314627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -0*j - 5*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 76833 = -103617. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453 is divided by 387.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - -0.08. Let k = -2.7 + 3. Let m = k - -0.2. Sort m, -0.3, g in increasing order.\nAnswer: -0.3, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 2. Let d(q) = -1. Let p(u) = -4*d(u) - x(u). Let n be p(-5). Let h be 5\/n*4\/50. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 69 - 23 = 0. Calculate the remainder when 181 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4772 divide 758486883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzzz when four letters picked without replacement from zzvz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 36*f**2 + 3*f**2 - 30*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -10 + 8. What is the closest to -2 in -1\/3, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i**2 - 4*i - 7. Let j be (0 - 1)\/(1\/25). Let a = 20 + j. What is l(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59\/2 + -30. Let m = -8 + 7. Let r = m - -5. Which is the closest to x? (a) -3 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066\/20059 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*t + 616 = 55*t + 64*t + 91*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 331517293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 257905284 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 60*k - 393. What is g(-21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.438 (b) -1\/50 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 4*w)*(-48*w**3 - 2848*w + 2848*w) + (1 + 3 - 7)*(5*w**4 - 2*w**4 - 4*w**4 + (3*w + 0*w - 7*w)*(-w**3 + w**3 + w**3)).\nAnswer: -33*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)**(6\/17))**(-6\/13) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0*l**2 - 2*l**2)*(-9*l + 0*l + l)*(3*l + 0*l - 4*l + (-l + 2*l + 0*l)*(6 + 0 - 4)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21319 + 3?\nAnswer: -21316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4504*-1171.\nAnswer: -5274184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15446692, 30893383, 46340072, 61786759?\n\"Answer: -p**2 + 15446694*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u + 0*u - 6*u + 3*u + 6. Let d be w(-9). What is the tens digit of (-3546)\/(-54) + (-1)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -246, -230, -202, -156?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 6*o - 229. Suppose 3*p + p - 16 = 0. Suppose o*a - p = 14*a. What is the remainder when 4 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 845\/26*(-6 + 174\/30) + 12.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from yaoaofffffaoyfoyfao?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:35 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1008*h**5 + 2353*h?\nAnswer: -20160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**6\/120 + 13*t**5\/60 + t**4\/24 - 7*t**3\/3 - t**2. What are the prime factors of j(-11)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -575\/259 or -2?\nAnswer: -575\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -20. Let s = 36 - 22. Let z = s - 15. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (16 - (95 + -24)) - -13.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6970 to the nearest one hundred.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -380298 divided by -4?\nAnswer: 190149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (520\/6)\/(7\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + b = -28, -5*r + 0*r + 4*b = 14. Is -9 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3 + 73*b**2 - 3 - 53*b**2 + 3 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) -140\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -31*d**5\/5 + 13*d**4\/4 + 535*d**2 + 712. Find the second derivative of i(f) wrt f.\nAnswer: -372*f**2 + 78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 35, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39545142 and 13936?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Let x be 16\/(-20) - (-4)\/j. Solve -4*f + 9 + 11 = x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16*t**3 - 18*t**2 - 38*t - 7. Let f(j) = -11*j**3 + 13*j**2 + 26*j + 5. Calculate 7*f(m) + 5*o(m).\nAnswer: 3*m**3 + m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 9957420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f - 12. Let a be f\/30*(1 + -6). Let v = a + 13. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = -0*o. Find the common denominator of 1876\/120 - (-3)\/30*2 and (-3)\/((-120)\/(-356))*o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-12)\/4*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 18*p. Suppose 4*t = x + 8, 0*t + t - 5*x - 2 = 0. Suppose -t*q - 6 - 4 = p, 2*a = -3*q - 25. What is the nearest to 1 in a, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19545.\nAnswer: 3, 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b2 + -151?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*h + 28 = 0, 2*j + 2*h - 13 = -h. Solve 5*y + j = 2*w, -2*w + 2 = -5*y + y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 10*o**2 + 14*o - 23. Let t(p) = 3*p**2 + 46*p + 24. Let n be t(-15). List the prime factors of a(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7194, -28807, -64800, -115149, -179830?\n\"Answer: 4*a**3 - 7214*a**2 + a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1*-3 + 3)**2 + -3*sqrt(11)*-1*6.\nAnswer: 108 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.24197 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.724633 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 9*i**2 - 3*i - 9.\nAnswer: 3*(i - 1)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - -10. Suppose 2 = -2*r + 3*r, z = 3*w + 2*r. Calculate the smallest common multiple of w and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (3 - 1 - -1)) + (35 - 40)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35384 and 11015.\nAnswer: 389754760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 24. Let u = -1 + q. Solve 4*p = p - u*j + 8, -3*p + 3*j = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7278 - 2128. Is j < 5150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 22205*x**2 + 24664200*x + 24642000.\nAnswer: 5*(x + 1)*(x + 2220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 514806 and 5975.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 52 = -3*o, 45*u = -5*o + o + 15*u + 32*u - 26 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -11. Let h(d) = -5*d**2 + 2*d - 5. Let l(i) = i**2. Let y(k) = g*h(k) - 6*l(k). Let z(n) = 6*n + 9*n - 14*n + 5 + 2 - 9. Determine 2*y(x) + 5*z(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3049600.\nAnswer: 2, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -584 + 1337. Suppose -u - i = 2*u. Let a = u + 466. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17372 (base 15) to base 12.\nAnswer: 37508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 145.71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -776 (b) -0.3 (c) 1.2 (d) 89 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 3*l. Let z(s) = 5*s + 36. Calculate the remainder when z(l) is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rug when three letters picked without replacement from rrgruriggiiriiigigr?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 - 47.7668647145?\nAnswer: 134.2331352855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -960 by -192.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:11 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(-3)\/30*-6. Let y = -6 + d. Suppose -2*o + 50 = 3*u, -5*o + 5*u = y*u - 87. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167.67 times 6.74\nAnswer: -1130.0958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1651.4309 and 0.6.\nAnswer: -990.85854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**2 - 82. Let d(p) = 2*p**2 + 24. What is b(d(o))?\nAnswer: -4*o**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 2 + 0))**2.\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l + 3, -l = 3*a + 1. Suppose 5*d = -a*d + 165. Calculate the highest common factor of 44 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -483520 or -483519?\nAnswer: -483520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w - 70. Let q(m) = 8*m + 141. Let d(f) = -7*o(f) - 3*q(f). Let l be d(0). Let a = l - 62. Solve -4*t + a*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-4))\/((-23)\/92))\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -313, -2\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/12 - 7*w**3\/6 - 3*w**2 - 21*w + 2. Calculate o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10066 divided by -1.\nAnswer: -10066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38416 + 26204*h + 37*h**3 - 9*h**3 - h**4 - 31692*h.\nAnswer: -(h - 14)**3*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -257?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 78 - ((-24)\/(-3))\/(-2). Let a = 112 - r. List the prime factors of a.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10*f + 2*o - 1793 = 0, 11*f - 4*o = 3911. Calculate the highest common divisor of 35 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3721713 (base 8) to base 3\nAnswer: -1221001222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6024 + -4?\nAnswer: 6020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17247 take away 0.0333498?\nAnswer: -17247.0333498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 2*s + 8 + 8*s + 3*s - 8*s. Suppose -2*k = -0*k + 26. What is the remainder when 39 is divided by h(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 137*b**2 + 86*b + 30926. Give a(-138).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1441 - 1401.33. Let s = -39.70667 + d. Round s to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*2*(-3)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005655139 to 7 decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1303*s**3 + s**2 + 665*s.\nAnswer: 7818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3)*(2 + -2). Suppose 5*p + q*p = 370. Suppose -4 = 5*n - p. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -2, 5, 26, 67, 134, 233, 370?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 14*n = -9*n - 80, -d + 2*n + 16 = 0. Solve 21*l + 5 = d*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -25, -38, -49, -58, -65, -70?\n\"Answer: j**2 - 18*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5097955 and 730.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13542*z - 22*z**4 + 13557*z + 3 + 0 - 2*z**3 wrt z.\nAnswer: -264*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 438 - 871 + 433 - 718*v. Let f(k) = -2*k**2. What is f(b(u))?\nAnswer: -1031048*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1051836 and -107\/416944.\nAnswer: 46280784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z + 171. Let f be b(18). Solve 2*s - 23 = -5*n, 2*n + 2*s = s + f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhlpkkk. Give prob of sequence hp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 6*n = 4. Let r(y) be the second derivative of 1\/6*y**3 + 0*y**5 + 0*y**n + 1\/30*y**6 - y + 0 + 0*y**2. Find the second derivative of r(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x)*(-1 + 2*x**2 + 1) - 3*x + 2*x**3 + 3*x + (-1 + x + 1)*(5*x + 7*x**2 - 5*x).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (467 - 472)\/((-1)\/3)*(14\/(-6))\/1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -1, -3.5, -0.2, 1?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355604 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 - 0?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n + 104. Determine z(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45\/6703? (a) -5 (b) 2\/115 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -19 + (10*2\/(-4) - -9). Do o and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/40*(-60)\/550\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153449\/15820 + 1\/3164. Let s = -291 + 330. Find the common denominator of -8*5\/(-540)*s and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = m - 4 - 11, -2*v + 10 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 47829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154 + 77 + 71 - 9*d)*(5 - 18 + 1).\nAnswer: 108*d + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65375 divided by 96.\nAnswer: -65375\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224015 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/612 and 41\/3780640?\nAnswer: 578437920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/88 and -115\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13139 - 13138.71876. Let r = 0.28 - x. What is r rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -468 - -728. Is 28 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6349 - 6318. What is the remainder when 7904 is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433584032 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550 a factor of 20920350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + b - 38 = 0, -5*b + 10 - 2 = -g. Suppose 81 = -l - g. Let a = l + 155. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 355.4 and 6857?\nAnswer: 6501.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364663 = 8*i + 5*o + 364477, 4*i + 138 = 3*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/19323264 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2493 and 0.5.\nAnswer: 1246.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64880 and 5?\nAnswer: 64880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5302 and 22\/241.\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - m - 5*m + 369*m**3.\nAnswer: 369*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0, 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z. Suppose 5*o + 4*a + 34 = 0, 2*o + 5*a = 2*a - 8. Let u(q) be the second derivative of 0 + 0*q**2 - 1\/3*q**3 + 3*q. Determine o*u(p) - 6*y(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(2541) + -3*sqrt(2541) + sqrt(2541) + sqrt(2541)))\/(-2*(sqrt(3) - sqrt(75))).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 4, q: 4, u: 3, g: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1089693 and 81033534.\nAnswer: 891368874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixiziiiizxxxixzixiz. Give prob of picking 2 i.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 540. Suppose -l = -4*o + 28. Suppose -428 = -11*c + o. What is the greatest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - 0.44. Let q = j - -0.2. Let n = 14.399 + -10.399. Which is the closest to 4? (a) 3 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - z + 4, 3*r + 6*z = 5*z + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -4\/3*h**3 + 0*h + 4\/5*h**5 + 0*h**4 + 0*h**2 - 5. What is the third derivative of u(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46804*b - 46808*b = -280. What is the remainder when 200 is divided by b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**4\/4 + 4*y**3 + 19*y**2\/2 - 25*y + 20. Let t be u(13). Suppose -59*g + 894 = -t*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1*(-1)\/5. Let k be (-20 - -18)*(-3)\/14. What is the nearest to q in -1\/4, k, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 409.81 + -418. Let v = s - -0.19. Let l = 7.99999944 + v. What is l rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16e9 + 79?\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741 + 2709 = -81*s + 453 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -7*h**7\/30 + 23*h**4\/6 - 15*h**2. Find the second derivative of n(s) wrt s.\nAnswer: -588*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 2*v**3 + 608342*v + 0*v**3 - 3*v**4 - 608357*v as b*v**3 + x*v + u + o*v**2 + f*v**4 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46362, -185449, -417260, -741795?\nAnswer: -1159054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Suppose 17*m + 0*m = 595. Let f(c) = -4*c**2 - 40*c - c**2 + m*c. Determine t(f(x)).\nAnswer: 10*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1610005 (base 8) to base 15\nAnswer: -9221d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 159613555*y**2 - 40842560.\nAnswer: 319227110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -83, -69, -19, 67, 189, 347?\n\"Answer: 18*o**2 - 76*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r, 3*s - 7375 = 2*r - 1519. Let m = s + -1099. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1730 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -2, -37, -0.12, 3.\nAnswer: -37, -2, -0.12, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 1, e: 1}. Give prob of sequence rhe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2411*l - 2412*l + 6 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 4*a**2 - 2. Let m(t) = -t**3 - 5*t**2 + 6*t + 4. Let h be m(-6). Let g be r(h). What is the second smallest value in -5, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -597714, -597709, -597704, -597699?\nAnswer: -597694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70656 and 48?\nAnswer: 70656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1980 and -11\/540.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y + 5. Let x be f(-4). Suppose -x = 2*l - 3*l. Suppose 5*j - 29 = 2*o, -20 = -3*j - 5*o + 16. Calculate the highest common factor of l and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12403490 is divided by 8988.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5 = -14*y - 21, k - 4*y - 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -380*((-196)\/(-14) - 15) is divided by 149?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 12 + (8 + -8 - -8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p = 15. Let t be -2*-1*p\/24. Which is the smallest value? (a) t (b) 5 (c) -10 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**3 - 105*z**2 + 522*z = 0.\nAnswer: 0, 6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/9 - 1653718*k\/9 - 683695805881\/9.\nAnswer: -(k + 826859)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z - 3. Let b(p) = 7*p + 2. Let i(j) = 4*b(j) + 3*g(j). Determine i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -293*t**2 + 4*t - 4. Let m(z) = 587*z**2 - 7*z + 7. Let r(w) = 6*m(w) + 11*v(w). Let u be r(-2). Round u to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 16, 4*o + 24 = 4*k. Let q be 16\/20 + (-4)\/k. Which is the biggest value? (a) q (b) -5 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, r: 2, y: 2, k: 1}. What is prob of picking 2 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 971023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 1\/(-4)*0. Suppose -j + 5*n + 8 + 10 = 0, -5*j + 3*n + 200 = a. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-2\/57)*l**(-2\/31)*l**3*l*l*l**(-4\/3)\/l assuming l is positive.\nAnswer: l**(6427\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5003 divided by -3\nAnswer: 5003\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x + 775 = -57*x + 251 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -187*h**2\/2 + 105115*h\/2 - 58344 = 0.\nAnswer: 208\/187, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 20 = 5*l, q = 22*l - 25*l - 6. Let k be (21 - 18) + (-1 - q). Solve k = -s, -g + 18 = -3*s - 0*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = 10. Let g = x - -14. Suppose g = 2*d - d. Solve 5*r - d*y = -2 + 12, 0 = r - 3*y - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -21?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(242) + -2)*5 - (2*sqrt(242)*2 + sqrt(242))) + -1)**2.\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - 135. What is the second biggest value in 0.2, t, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 64.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 31 + 255. Find the common denominator of (-22)\/w + 238\/(-2340) and 9\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 220. Let c be d\/(-33) - (-2)\/(-11). Suppose 7*v - 99 = c*v. Round v to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87*r**2*v*w**2 + 4038695*r**2*w**3 + 5*r*w**3 + 32286*v*w**3 wrt v.\nAnswer: -87*r**2*w**2 + 32286*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1159 + -1154. Let d be 3\/(-6) + 14\/4. Suppose -d*k - 4*q + 36 = -7*q, -4*q = 12. What is the smallest common multiple of o and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*s + 10 = -8, 4*p = -4*s + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -6. Let a(k) = -408*k + 26. Let w(l) = 102*l - 7. Let z(b) = -2*a(b) - 9*w(b). Is z(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4649 - -4846. Calculate the remainder when f is divided by 45.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18037, -23759, -29481, -35203, -40925?\n\"Answer: -5722*d - 12315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -302 + 118. Let d = 52 + f. Calculate the smallest common multiple of 10 and (d\/18)\/((-4)\/6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, l: 3, s: 2, x: 3, y: 2, g: 2}. Give prob of sequence llxe.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 8.81, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -252*c + 36 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 - 81 = -8*y. What are the prime factors of -30*8*(-3)\/y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 59*y - 10767. Determine w(182).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 2*z**2 - 1. Let t(f) = -662*f**3 + 187*f**2 - 4. Let y(l) = -4*g(l) + t(l). Find the third derivative of y(d) wrt d.\nAnswer: -3948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001001100001010001 - -101100?\nAnswer: -110001001100000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -74. Let w be 8\/z + 4\/14. Which is the nearest to w? (a) -3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 18 + 4)*(-w**2 + 2*w**2 + 0*w**2) to the form q*w + n*w**2 + y and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.62 + 28.42. What is the nearest to -1 in 24, s, -2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6347, 12719, 19107, 25511, 31931, 38367?\nAnswer: 44819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30\/773 + 17793\/40196. Let k = q - -154\/13. What is the common denominator of k and 0 + (-94)\/12 - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**5 + 20*u**4 - 100*u**3 - 150*u**2 + 495*u - 270 = 0.\nAnswer: -6, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -424001*x + 5. Let z(f) = 423998*f - 6. Let m(y) = -2*o(y) - 3*z(y). Let s be m(-1). Round s to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 7. Let o be q(8). Let l be 2 - (-2 - (1 - o)). What is the second derivative of u**5 - 2*u + 1 - 1 - l*u**5 wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -6 (c) -13013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/(-2))\/((-13)\/1742)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {a: 7, g: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66064365, 132128729, 198193093, 264257457?\nAnswer: 330321821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:17 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/13 - 18*i**4\/13 + 12*i**3\/13 + 32*i**2\/13 = 0?\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 110, -5\/3, 3, -86, 2 in descending order.\nAnswer: 110, 4, 3, 2, -5\/3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4 + 13533*b - 13533*b + 0 + 13*b**2. Let g(y) = 5*y**2 + 4*y**2 - 6*y**2 - 5*y**2. Give g(u(f)).\nAnswer: -338*f**4 + 208*f**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952 divided by -18?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/2, -84631, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113173545?\nAnswer: 3, 5, 197, 38299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 7*h - 5*h to s*h + m and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*g**3*o*x*z - 6*g**3*o*x + 3*g**3*z + 4*g**2*x - g**2 + 2*g*o*x - 7*g*o*z - 2*o*x - 5 wrt g.\nAnswer: -186*o*x*z - 36*o*x + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 + 5*42\/35. Let j(w) be the first derivative of w**3\/3 + 3*w**2\/2 - 2*w - 1. What is j(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6*3)\/(3\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5743045 and 2.\nAnswer: -5743043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n + 70. Let t be (-1)\/(n\/(-19046)) - 1. Let f = t - 1354. Which is greater: 6 or f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 33, -423 in decreasing order.\nAnswer: 33, -2, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i + 2*i**3 - 9*i**3 + i**3 - 3*i - 6*i**3 - 8*i.\nAnswer: -12*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149.316 - 149. Let y = n - -1.684. Let m = -156 - -621\/4. Which is the smallest value? (a) y (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**2 - 84*x - 13. Give d(7).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v = -214048 + 75707 - 297371. Is 64 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 0*z**2 + 0*z + 11 - 5*z**4 + 1\/3*z**3. What is the third derivative of c(n) wrt n?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/(g**(3\/5)*g*g))**(-2\/9)\/((g\/(g\/(g*g**(-1)))*g*g**4*g)\/(g**(-1\/6)*g\/(g\/(g*g**(-1\/12))))) assuming g is positive.\nAnswer: g**(-521\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -20 (b) 1\/3 (c) -482\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 14 + 5\/(-1). Let s(f) = f**3 - 11*f**2 + 20*f - 4. Let v be s(w). Solve 5*d - 6 = 4*d - 4*k, -v = 5*d - 2*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, h: 2, p: 1, q: 1}. What is prob of sequence hph?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-2 + 2 + b**5) + b**5 + 0*b**5 + b**5 - 2*b**5 + 0*b**5 + 0*b**5 + (-1 + b + 1)*(0*b**4 + 2*b**4 - 3*b**4) + 63*b**5 + 567*b**5 - 79*b**5.\nAnswer: 552*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1621 = 3*h + 9630, -2267 = u - 5*h. Let r = u - -20237\/9. Is r < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/36 and -10\/81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 1. Give k(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167483300 and 22?\nAnswer: 1842316300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 + 175. Let g be 0\/2 - (-8 + i + -9). Are g and -18\/47 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -1. Suppose 2*p - 5 = 2*b + 25, 4*b = 20. Calculate the highest common factor of p and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 16.99999816. What is c rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let b = -109 - -106. Let o(m) = -4*m. Let h(d) = -d + 1. Let j(g) = b*h(g) - o(g). Give v(j(x)).\nAnswer: 49*x**2 - 42*x + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(7\/2))\/x**(1\/14)*(x*x*x**(2\/159)\/x*x)\/x**(-2\/11) assuming x is positive.\nAnswer: x**(81085\/12243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:08 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.88 + 0.967. What is b rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21400 + 130?\nAnswer: 22030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 6. Let q(v) = v**3 + 6*v**2 + 7*v + 5. Let a be q(-5). Let c be j(a). Is 6\/(0 - (0 + c)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0114441 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-72) - -10) + 358\/(-537)\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-10)*(-20)\/6. Suppose 3*w = -0*w + 24. Let v be (4\/w)\/((-2)\/g). Solve -3*x - 10 + v = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 5:16 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-1 + 5 - 5)*(8*c**2 + 77*c**2 - 19*c**2).\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -111 (b) 0.19 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40829100 rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3214 + 1594. What is the common denominator of (-6)\/f*-1774 - -6 and -1\/3?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 5*t**4\/24 + 4*t**3\/3 + 9*t**2 + 1. Let g(y) = y + 1. Determine -14*g(x) + 2*w(x).\nAnswer: -4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-9))\/((-232)\/(-754)))\/(1\/(-6)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19d40d (base 14) to base 9\nAnswer: -1652043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqg. Give prob of sequence qg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (33 - (10 + -22 - (6 + -23))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 106*v - 810 = -10*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*r + 40*r - 224145 = 62895. Calculate the greatest common divisor of r and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2\/3 + 194*s\/3 + 365 = 0?\nAnswer: -5, 219\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36411815.\nAnswer: 5, 11, 61, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -397207 (base 15) in base 6?\nAnswer: -135035424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, 8103, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p + w - 52, -3*p = -w - 101. Sort p, -2, -11.\nAnswer: -11, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 3:47 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 166*f + 4. List the prime factors of z(5).\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = o + 9, o + 2*y + 6 = -y. Let z be 3\/(-18)*o*0. What is the second derivative of 39 - 15*u - u**3 + z*u**3 - 39 wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/30 + 81*x**5\/20 + 233*x**4\/3 + 550*x**3 + 1224*x**2 + 5970*x. Factor q(v).\nAnswer: (v + 1)*(v + 6)**2*(v + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*n + 38, -3*g - 3*n + 42 = -6*n. Suppose -4*x - i + 13 = 0, -x = 3*i - 6*i. Calculate the lowest common multiple of x and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s**2 + 0 - 4*s**2 + 542*s - 7 - 3 - s**3 - 534*s. Let l be u(6). Solve -2*q = l*a - 4, 5*a + 3*q - 5 = 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37885300.\nAnswer: 2, 5, 457, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -14. Let n be 2 - (-4)\/m*0. Factor -n + 3*v**2 - 9*v**3 + 2*v**3 + 13*v - v**2 - 6*v.\nAnswer: -(v - 1)*(v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19522000 rounded to the nearest 100000?\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 617783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1535 + 1530. What is the closest to w in -3, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l*y**5 + l*y**4 - 14*l*y**2 - 11*l*y + 6*y**5 + y**2 wrt y?\nAnswer: 180*l*y**2 + 24*l*y + 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452251.\nAnswer: 17, 37, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 387 = -3*f, -x - 5*f = -9*f - 119. Calculate the remainder when x is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70, 146, 228, 316, 410, 510, 616?\n\"Answer: 3*q**2 + 67*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 + 18098.\nAnswer: 18069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38123235*t**2 + 45870629*t wrt t?\nAnswer: 76246470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 437157420 rounded to the nearest 1000000?\nAnswer: 437000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 6)*(-2 + 2 + d) + 2*d + 0*d + d + (-d - 3 + 3)*(1 + 3 - 3) - d + 3 - 3.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -9*x + 12. Let o(f) = -x + 0*f + f + 0*f - 1. What are the prime factors of o(16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20001 - -240149\/12. Let t be (64\/(-24))\/((-2)\/6). Calculate the common denominator of 1\/(-6)*282\/t and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27682195*k**2*r - 468117*k**2 + 10*k wrt r?\nAnswer: 27682195*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + i = t, 4*t - 5*i + 5 = 0. Suppose -2*a = -0*a + y - 62, -t*a + 4*y + 142 = 0. What is the tens digit of ((-1300)\/(-8))\/(-5)*a\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -4) + -6 + 2. Let m be c - 0 - (3 + -1). What is the units digit of 1 - (m\/4 + (-366)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 186, 20, 0, 4 in descending order.\nAnswer: 186, 20, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-34)*(-4)\/(-10)*(-150)\/(-25).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17925613.\nAnswer: 167, 107339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*m**2 - 2*m - 5*m**3 + 6*m**3 + 3*m**2 + 35*m**4 wrt m.\nAnswer: 840*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**2\/2 + 21*u + 384. Give x(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 30*h + h + 46*h. Let i(w) = w. Determine i(n(s)).\nAnswer: 77*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 1. Let o(a) = -39*a - 2736. Let d be o(-70). Let i(z) be the second derivative of 5*z**3\/6 - 3*z**2 - z. Determine d*s(q) + i(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-70) - (-5106)\/89355?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -3 + 1 + 6. Is d smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*c + 58, -c + 2 = w - 11. Solve -o + c = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + 296 + -86 + -66?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2. Let y(z) = z. Let h be 3\/(6 - -1 - 4) - -2. What is h*y(s) - x(s)?\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 = -18, 4*z - 20 = -s. Suppose s = -h + 5*h, -5*b + 18 = 4*h. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26845 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 816200*o + 8161900.\nAnswer: (o + 10)*(o + 816190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3 - 35782902*r**2 + 341904819*r wrt r?\nAnswer: 6*r - 71565804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -261024, -522049, -783074, -1044099, -1305124, -1566149?\n\"Answer: -261025*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/((h\/h**(-1\/3))\/h))))**(-7)*(h\/((h*h**(1\/4))\/h))**(-4) assuming h is positive.\nAnswer: h**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((20\/(-36))\/(399\/(-228)))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12 - ((-6)\/(-3) - 1). Let h = -8 - k. Put h, -4, -3 in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3521 or -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 14. Suppose m = -2*b + 22. Suppose 2*j - 4*k + 2*k = 28, 5*k = -j + 38. Calculate the remainder when j is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/7 + -31 + 4360\/140)*(-2)\/(-63).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/(l**(-4)*l))\/(l\/l**(-2\/5))**(-1\/90) assuming l is positive.\nAnswer: l**(-893\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - -34. Suppose -34*k - 5*q - 8 = -35*k, 2*k - 3*q = 9. Factor 729\/2*y**k - 243*y**2 + g*y - 4.\nAnswer: (9*y - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wppw when four letters picked without replacement from {e: 7, w: 7, p: 2}.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) -3 (c) 1.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h + w, 0 = 2*h + 4*w - 6. Suppose 2*p - 271 = -3*i + p, i + h*p = 93. Calculate the highest common divisor of i and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89883 is divided by 6411?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 11*t**2 + t + 4. Let h be u(-4). What is the greatest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) 1\/4 (c) 0 (d) -2377248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 911*o**2 + 861 wrt o.\nAnswer: 1822*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-7\/5)*a**2*a**(1\/24)\/(a*a**(-22)))**12 assuming a is positive.\nAnswer: a**(2717\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12948857 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l + 12. Let r be 2*(5 - (l + 8)). Solve g + 5 = r*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 + -105. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 13*k**2 - 45*k - 599. What is x(-10)?\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*v**3 - 4256*v**2 + 23017*v - 18300 = 0 for v.\nAnswer: -6100\/461, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*n + 242*n = 8 + 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 67106096?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8687 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*o - 3360 = -269*o. Let a(u) = -u**3 - 5*u**2 + 4*u + 8. Let x be a(-6). Calculate the highest common divisor of o and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**2 + h. Suppose 4 = 3*t + t. What is a(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 18140*o**2 - 18148*o**2 - o**3.\nAnswer: 2*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 595855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u + 3*u**2 + 3*u**2 + 5)*(-2*u + 4*u - 3*u).\nAnswer: -5*u**3 - u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 726, 2950, 6658, 11850?\nAnswer: 18526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + f**2 + 3*f - 1. Let t be g(2). Let x = 5 + t. Let q be (-2 - -4) + 1*7. What is the greatest common factor of x and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 12*r + 2. Let u be p(-12). Suppose 0 = -u*i - 17 + 21. Suppose -i*l + 153 = l. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.4 + 23.4. Which is the nearest to 1? (a) 0.5 (b) l (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41\/8 in -0.5, -0.3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 22 = -13. Let w(y) = 5*y - 31. Let u be w(b). Suppose u*m + 5*j = 533 - 159, 0 = -3*j - 6. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from jhhjjhdjhjhhhjhdhjj.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 11*j - 7. Let r(q) be the second derivative of -q**5\/20 + 5*q**3\/6 - 3*q**2\/2 - 1850*q. Give 3*n(c) - 7*r(c).\nAnswer: 4*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (715\/(-117) - 6) + 12.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-3))\/((-1)\/(-3)). Suppose 3*r = 6*r - 12. Let h = r + -2. Solve 4*x - 14 = u + h*u, -u = -g*x + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 6. What is the first derivative of -9*b - 2 + 3 + f*b wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 + 113 + 2*f**2 - 134 to t + i*f + n*f**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10*w = -12. Let f be ((-3 - w) + 1)\/(22\/44). Suppose -n - 5*t - 19 = 0, 2*t + 15 = -3*t. Sort f, n, 0 in decreasing order.\nAnswer: 0, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42497 or 42889?\nAnswer: 42497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-152 + 152)*(-2)\/4. Solve -y - 10*a + 9*a = 5, 2*a = r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15881934 and -4.\nAnswer: 63527736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - w + 21 = 0, -5*o + 5 = -9*w + 6*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) -0.5 (c) 0.5 (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156 + -6?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oopopopzzeopzhzoo. Give prob of sequence epph.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1672, 3339, 5006, 6673?\n\"Answer: 1667*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*r + 17. Suppose -r*p + 1255 = -32*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10010111?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 582 - 296. Let x = -2 - -28. What is the highest common factor of x and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*s = 8, -o + s + 4 = 3*o. Which is the third smallest value? (a) -4 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/36*(-3)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -38*w + 117. Let n be c(3). Differentiate -685*g**n - 104*g**4 + 685*g**3 - 283 with respect to g.\nAnswer: -416*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) 15 (c) 3 (d) -23 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*n + 96*n. Solve n = -11*f + 5*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**6\/42 + 11*d**5\/35 - 25*d**4\/28 + 13*d**3\/21 + 131. Factor b(t).\nAnswer: t**2*(t - 1)**2*(t + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 479349.\nAnswer: 5\/479349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312592303?\nAnswer: 1163, 268781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127700*u**3 + 180*u**2 - 137*u?\nAnswer: -766200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 - 0.99. Suppose -4*i - 3 = 1. Let o be (6\/(-15))\/(i\/5). Is o >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - b. Let l be (4 - -1)*(-6 - -9). Suppose -i + 4*i + l = b. Put i, 4, 5 in descending order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/(-24) - 4\/((-36)\/15). Let n be 1*1\/2 + 2. Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17030970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15541 - 9395. What is the greatest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -7*q - 59. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 55*b - 40 = -51*b, -s = -b - 14. Solve -s*v - 29*v + 37 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 10, -31, 30?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*b + 80*b = 1077. Let w = -150 - b. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, -837, 0.01208?\nAnswer: 0.01208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u - 9\/2*u**3 + 0 - 30*u**2 + 1\/20*u**5 + 2*u**4. What is the units digit of k(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.962 times 0.31?\nAnswer: -24.78822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = i + 14, 0*i + 5*m = 4*i + 65. Let j = -1301271\/94 + 13843. Calculate the common denominator of j and 20\/4*i*(-3)\/54.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70043054.\nAnswer: 2, 359, 97553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 3*i + 1. Let h be j(-6). Suppose 4*n + 153 = 5*x - 0*n, -x = -5*n - 39. Let t = x + h. Calculate the highest common factor of 96 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3774.141 centuries?\nAnswer: 4528969.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -3 - (4 + 12 + -19). Sort 0.5, q, -4, -95, 5.\nAnswer: -95, -4, 0.5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 17 - 15)*(-3*g + 2*g + 3*g).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 32. Let j be -8 - (-39)\/5 - (-148)\/(-10). Determine m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -32a53a?\nAnswer: -32a53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*d - 3*i - 17, 5*d + i = 31. Suppose 10*c = 3*c + 49. Let n = c - d. Sort n, 0, 5 in decreasing order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420313752 by -3891794.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 h when three letters picked without replacement from oooboothtthabahbotot?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9113, -14432, -19763, -25100, -30437, -35768, -41087?\n\"Answer: c**3 - 12*c**2 - 5290*c - 3812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178846?\nAnswer: 2, 223, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -439, -1498, -3563, -6970?\nAnswer: -12055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -16. Calculate the remainder when o is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 418 and 417 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-15\/4)*r**(1\/10)*(r**17\/r)\/(r*r**(-9)*r*r*r) assuming r is positive.\nAnswer: r**(347\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-20)*(-45)\/(-3)*(40 - (-2142)\/(-54))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 2) + (-49 - -44) - (-37 + 1 + -3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 - -1322?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from dio.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 v when four letters picked without replacement from wvgvwzggvwvgvvg?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1*n\/((n\/(n\/((n*n**(1\/14)\/n)\/n))*n)\/n))**(7\/3))**(-11\/6))**(-1\/30) assuming n is positive.\nAnswer: n**(451\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -27.1. Is 9 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 3) + -3 - (-9 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 60. Let f(b) = -v - b + 6*b - 3*b. Determine f(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(304) + -4 + sqrt(304)).\nAnswer: -8 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - -1 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*h**2 - 60*h**2 + 139*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*n**2 + k**2*n + 2*k - 46168*n**2 + 10519*n wrt n?\nAnswer: -2*k**2 - 92336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*x - 17*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 4*y**2 - 3*y**2)*(-11 - 16 + 17)*(-5 + 0 + 4) - y**2 - 3 + 3.\nAnswer: -91*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.7 plus -6?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74507.981 + 74470. Let x = j + 38. Let c = 0.01899867 - x. Round c to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t. Let q be k(-1). Let r be (-2)\/q - 10\/(-6). Calculate the greatest common divisor of 14 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 12:55 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2085 and 600?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k\/(k\/(k**(-3\/5)*k)))**(-24) assuming k is positive.\nAnswer: k**(-288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 396?\nAnswer: -3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11617 - 11717 + 23182 - 4*u**2 + 5*u**3 + 4*u**2.\nAnswer: 5*u**3 - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9013 is divided by 4503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 37 - (-5 + 2 + (11 - 3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136*u + 50*u - 55*u)*(-3*u**2 + 2*u**2 + 2*u**2)*(0*u + 6*u - 4*u).\nAnswer: -282*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -121, -486, -1091, -1930, -2997, -4286?\n\"Answer: h**3 - 126*h**2 + 6*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6200, -9621, -13042, -16463, -19884, -23305?\nAnswer: -26726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 37. Let t be y(-6). Let r(k) = 5*k**3 + 5*k**2 - 2*k + 2. Let b(c) = -c**3 - c**2 - 2*c - 1. Let i(v) = t*r(v) - 2*b(v). Factor i(o).\nAnswer: -3*o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/127, -12, -3.1, -0.2, 5, 0.5?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + 2)*(-1 + 0 - 1) - 1 + 0 + 3 - 100 - 186 - 251)*(-29*l + 18*l - 49*l) to the form z + u*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3720 and 1755840?\nAnswer: 1755840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*a**3\/15 + 224*a**2\/15 + 26*a - 60.\nAnswer: -2*(a + 2)*(7*a - 15)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 79*v**3 + 947*v**2 - 29*v - 201. What is r(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-20)\/35)*(-5)\/(-35)*4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77718, -77720, -77722, -77724, -77726?\n\"Answer: -2*x - 77716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, u: 4}. What is prob of sequence puu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + a + 539 = 0, 0*a - 2*a = -c + 126. Suppose 0 = 123*r - c*r + 11596. What are the prime factors of r?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - l + 0*l = 36, m + 3*l + 12 = 0. What is the third biggest value in 2\/3, m, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -52*u + 32. Let r(c) = -8*c + 5. Let k(p) = -5*i(p) + 32*r(p). Let s(o) be the first derivative of 2*o**2 + 2. Calculate s(k(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let k(m) = -2927*m**2 - 12*m + 2. Let t(c) = -3*k(c) - 30*w(c). Is t(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 1650*g**3 + 14520*g**2 - 24110*g + 11235.\nAnswer: 5*(g - 321)*(g - 7)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + -188. Let k = 214.2 + b. What is the smallest value in -0.06, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -10, 2\/13, 1, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r - 10*r - 5394 = -28*r. Are -893 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -15. Let i = 40 - b. Find the third derivative of -i + 9*f**3 - 2*f**2 + 23 wrt f.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 - 25*l**2 - 14*l + 1. Let b be z(7). Factor -31*m**3 - 30*m**2 - 2*m - 13*m + b + 26*m**3.\nAnswer: -5*(m - 1)*(m + 2)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/4 - g**4\/6 + g**2\/2 + g. Let n be c(1). Let u = -178 - -182. Solve -u*l + 16 = -n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20299000 to the nearest one hundred thousand.\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 2 + 4)*((-5 + 0 + 3)*(-3 + 3 + 2) + 1 + 7 + 4) - 42 - 26 - 12)*(-2*n + 4*n - n) to the form m*n + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00522264442 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 390978520 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 676, 1899, 2882, 3505, 3648, 3191?\n\"Answer: -20*c**3 + 1363*c - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1143, 2337, 4331, 7125, 10719, 15113, 20307?\n\"Answer: 400*o**2 - 6*o + 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 52*r**2 - r. What are the prime factors of c(-6)?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 minus -384.0389381?\nAnswer: 119.0389381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 12 = -3*t, 413*s = 417*s + t - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -25 + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3392 and 110717?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 11) to base 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1038240)\/14008 - (151\/17 + -9)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9345?\nAnswer: 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -276680 + 504087. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114.83 - -115. Let c = u + 0.07. What is c rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-4) + 4 + -2. Let o = -510 - -1529\/3. What is the nearest to -0.1 in o, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 + (1 - (-655)\/25). Let i be (v\/6 + -1)*(-48)\/(-420). Let 1\/5*s**4 + i*s**2 - 4\/5*s - 3\/5 + 4\/5*s**3 = 0. Calculate s.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*20\/(-125)*5\/2. Let a(q) = -42*q**2 + 31*q**2 + 25*q**z. Let y(m) be the first derivative of 2*m**3\/3 - 1. Determine a(y(j)).\nAnswer: 56*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1781660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 4\/7 (b) 6407 (c) -0.14 (d) -8 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 5, -5, 0.2, 4, -3.7, 56 in descending order.\nAnswer: 56, 5, 4, 0.2, -2\/17, -3.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -979\/3546 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or -588\/11?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 + 10*t**2\/3 - 136*t\/3 - 192.\nAnswer: 2*(t - 8)*(t + 4)*(t + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10934*t**2 + 11*t - 5. Let u(z) = 2*z**3 - 12*z**2 + 2*z - 10. Let g be u(6). Is y(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 14*z + 48. Let r be v(-6). Suppose -4*y + 382 + 1246 = r. Is 37 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/10 + (-1)\/(-2). Let w = 106841 - 1494765\/14. Let v = 522\/7 - w. Which is the nearest to 2\/13? (a) v (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 - -8136?\nAnswer: 8112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8.76. Let o = 5.24 + t. Let k = o + -5.000016. Round k to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*556\/417\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5 + 610336*v**4 + 2*v**3 - 1220672*v**2 - v + 610336 = 0?\nAnswer: -1, 1, 610336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.3 (b) -2 (c) 2\/7 (d) 4 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12245285*p**4 - p**3 - 95315831?\nAnswer: 48981140*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126783 + 20918092\/165. Let p = z + 75\/11. What is the nearest to -1\/2 in 3\/2, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 0*d + d + (84*d - 15*d - 4*d)*(2 - 2 - 2) - 4*d + 6*d - 3*d as z*d + l and give z.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13448?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 8. Let r = k - 12. Does 13 divide 106\/4 + 3\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1919947043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2403*t**2. Let v(f) = 4*f. Give v(b(x)).\nAnswer: -9612*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyqydyqdqyyyy. Give prob of sequence yqd.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 13\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101907*y**4 - 3*y**3 - 14013*y**2 + 16*y wrt y.\nAnswer: -2445768*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-3 - 6) - -3) + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**3\/2 + 21*p. Let w(i) = 16*i. Determine -33*s(h) - 6*w(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 - 54*p + 33. What are the prime factors of u(-11)?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -554.203 to zero decimal places.\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 1\/3 (c) -1\/3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 546 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) 0.0068 (c) 53 (d) -2\/5 (e) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6 + (-21)\/(-35)*10?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -18369*b + 55106. What is a(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*m = 4, -4*b - 2*m + m + 16 = 0. Let j be 1\/b - -2 - (-10)\/15. Suppose -s - j*s = -276. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5541211 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*s - 1, 5*c + 4*s + 860 = 0. Let r be (-72)\/c - 85\/(-63). Find i, given that r + 1\/9*i**2 + 8\/9*i = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 8*o - 20. Let m be v(4). Solve -5*x = 5*b - 40, -4*b + 16 = 3*x - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57669456 and 54?\nAnswer: 519025104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 176*k**3 + 1068*k**2 - 1120*k - 2368.\nAnswer: 4*(k - 37)*(k - 4)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5186? (a) -16 (b) 112 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52966127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -20102022?\nAnswer: 20102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13770329 + 1\nAnswer: 13770330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjgsjsgsg. What is prob of picking 1 j and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {y: 1, z: 1, d: 2, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229 by 11.\nAnswer: 229\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + n = -3*x - 3, -4*n = -4*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2217 - 2212. Let p be 2\/(-4) + 14\/4. Suppose -p*h = s - 4*s, -5*s + 2 = -3*h. Which is the nearest to h? (a) -1 (b) z (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.8 and -5.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4691*r + 1487042. What is a(317)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/8 + 717\/24. Let b(d) = 23 - 11*d + d - s - d**2. Let o be 5\/(10\/(-16)) + -3 + 3. What is b(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 7*s + 6. Suppose 3*x - 2*x = 8. Let y be g(x). Let r be (-1)\/(-1 + 2 + y). Which is smaller: -1\/3 or r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7380, -7354, -7328, -7302?\nAnswer: -7276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8312 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-28) - 111077097\/(-46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0121144 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*(-88)\/286*-1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206 and 8.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9267998)\/(-35) + 164\/2870. Round r to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 10*n**2 + 16*n + 96.\nAnswer: -2*(n - 3)*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/7 + 1126*x**3 - 31552*x**2\/7 + 31560*x\/7.\nAnswer: 2*x*(x - 2)**2*(x + 3945)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b**2 + 26*b - 32. Let g be a(-5). Solve 4*t = n - 12, -g*n - 40 = -8*n + 5*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 1804008.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 56*y + 3559. Determine j(58).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11014, 11007, 11002, 10999, 10998, 10999?\nAnswer: 11002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*n + 187, 2*d = -4*n + 20 + 80. Calculate the remainder when d is divided by (-4 - (-82)\/4) + (-1)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 - 2*z**2 - 5*z - 7. Let n(l) be the third derivative of -l**6\/60 + l**5\/60 + l**4\/12 + l**3\/2 + 61*l**2. Determine 3*g(p) + 7*n(p).\nAnswer: p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 10*o - 40 = 4*i, -6*i + 4*o = -o + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 654.61114 + -654.6. Round g to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -756 - -764. Calculate the lowest common multiple of 244 and r.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 j when four letters picked without replacement from jjvvj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 309 and 5434177.\nAnswer: 16302531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:57 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*d - w + 4, 0 = -14*d - 4*w - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*z**2 + 148*z**2 + 145*z**2 - 444*z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -2\/13, 37, 4\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -1*(-1 + -1). Suppose 5*g + n - c = -17, 4 = -4*g + 2*n. Is -3 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6199901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 24. Give d(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3746809 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13120 + -13118. Put 1, a, 0, -0.04 in ascending order.\nAnswer: -0.04, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256835 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: Calculate prob of picking 3 k and 1 w when four letters picked without replacement from akaaawawddiwkkiawagk.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77842, 77681, 77520, 77359?\n\"Answer: -161*b + 78003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8589779113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-105)\/20)\/(-7))\/(-111*(-6)\/(-48))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14090019 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -5*t + 51, 0 = -5*h - 2*t - 190. What is the third biggest value in 3, h, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33389 and 1038?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let j(x) = -2*x**2 - 24*x + 4. Let s(m) = j(m) - 4*v(m). Let t(a) = -2*a**2. What is t(s(n))?\nAnswer: -8*n**4 - 160*n**3 - 800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -582729 - -1149058. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 114 = -8*t. Suppose -14 = x - t. Let a(c) = c**3 + 5*c**2 + 5*c + 5. Let z be a(-4). What is the highest common divisor of x and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11337)\/7558*1\/(6\/(-44)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 7900*i**5 - 71532*i**4 + 84136*i**3 + 266352*i**2 - 418016*i - 10752 = 0.\nAnswer: -48\/25, -2\/79, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((((u*u*u*(u*u**(-6))\/u)\/u)\/u)\/u))\/u)**3 assuming u is positive.\nAnswer: u**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0, 1801.64?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fppf when four letters picked without replacement from nnfnpfnnjnnxpn.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 189. Calculate the remainder when 19 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus 226250643621?\nAnswer: 226250643633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1377) + 1 + (sqrt(17) - (sqrt(34)\/sqrt(2) + 3)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/42)\/((4\/(-72))\/(13\/(-663))))\/(-6)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3042 + -1861. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660 (base 13) to base 3.\nAnswer: 1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19565 by -2795.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 = 441*z - 1878 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 651 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -16*m**2. Let x(d) = d - 247. Give j(x(l)).\nAnswer: -16*l**2 + 7904*l - 976144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (0 - -322)\/(15\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -4.8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -1447160759?\nAnswer: 1447160766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 16*v**2 - 22*v - 16. Is 40 a factor of k(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-42))\/((-3)\/4) + 830\/14 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -259*i**2 - 121*i + 44*i - 946 + 40*i + 37*i wrt i?\nAnswer: -518*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o)\/(o\/((o\/(o*o\/(o*o*o\/(o**(-8)*o))))\/o))*o**(-7)\/(o*o**(2\/7)) assuming o is positive.\nAnswer: o**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 + 234*v**2 - 4185*v = 0. Calculate v.\nAnswer: -93, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*z - 1)*(-8 + 36 - 11) as i*z + c and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 46139448?\nAnswer: 46139448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1044698 divided by -522349\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2104 = -n + m, -6*m - 2124 = -17*n + 16*n. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 53 = -7*r, -r - 61*a + 59*a = 6. Suppose 5*v = 2*v. Suppose -r*t + 360 - 120 = v. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = 5*s - 5*k, -2 = -3*s + 2*k. Suppose -m - 3*t + 128 = 0, s*t - 3*t = 12. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 2\/3, -0.2, 0.5, -8, -9.\nAnswer: -9, -8, -4\/3, -0.2, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**2 + 194*w - 447 wrt w?\nAnswer: -2*w + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - (-14 - -19)) + (1 - (-6 - -3)) + 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-7)*-1)\/((10\/35)\/(-1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 13 - 100 - -12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-10))**17 assuming t is positive.\nAnswer: t**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-281*q**2 - 6741*q + 456 + 6739*q + 263*q**2)*(1 - 1 - 2*q) to y*q**2 + o + i*q + h*q**3 and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16679 - 16719. Put p, 3, 16 in increasing order.\nAnswer: p, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 449.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 4, -1\/12, 1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:36 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**6\/30 - 3*k**5\/20 + k**4\/4 + k - 12. Find the third derivative of s(l) wrt l.\nAnswer: -24*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 0*p**3 + 2*p**3)*(-4*p - 7*p**2 + 4*p + (160 - 99 + 161)*(-4*p**2 + 0*p**2 - 6*p**2)).\nAnswer: -4454*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 9.96. Let x = t - 0.04. Does x = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*y + 1 = 0, 4*q - q + 5*y - 17 = 0. Solve m - 3*m - 8 = q*c, 3*m + c + 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 12. Let g = 10.99999996 - p. Round g to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009520771 rounded to 5 dps?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3580\/15)\/(-4) - 3\/9. Let l = -58 - t. What is the third derivative of n**2 - 17*n**3 - 3*n**l + 7*n**3 - 2*n**2 wrt n?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -507*w + 511*w, -8 = 2*g. Let k = 34 - 34. Solve -2*s + k*s - w = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -120*q**3 + 6*q**2 - 14*q - 10. Let y(f) = -40*f**3 + 2*f**2 - 5*f - 3. Let c(t) = -3*s(t) + 10*y(t). What is the third derivative of c(a) wrt a?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.202 - 20.198. Let s = 20 + r. Let n be 1*((-702)\/138 + 5). Which is the closest to -0.1? (a) n (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + -0.1. Let g = o - -0.07. Let v = -0.08000006 + g. What is v rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 42*l - 2 as w*l + p and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6 - 5 + 14*v in the form y*v + c and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -3 + -539 + 537?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157893272 and 2174.\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206 - -206. Let k(z) = -z + 8. Let m be k(4). Solve b = -y - m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*w, 0*v - v + 5*w = 0. Determine q, given that 5*q**4 + 16*q**3 + 5*q**2 + v*q**3 - 6*q**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**2 + 3*r**2 - r**2 + (5*r + r + 2*r)*(29*r - 2*r + 9*r).\nAnswer: 283*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*c - 42*c + 1145151000 = 0. Round c to the nearest one hundred thousand.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14943*h**3 - 29883*h**3 - h**4 + 10*h**2 - 2*h + 14935*h**3 + 8 to the form x + q*h**3 + a*h**4 + c*h + l*h**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004958578 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*w - 31, -2*u + 2*w - 28 - 24 = 0. Let v = u - -26. What is the second derivative of 3*q**3 + 9*q**3 + 9*q**3 - 9*q**v + 21*q wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2 + 2056*i - 465024 = 0.\nAnswer: 336, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 1. Suppose 4*m + 28 = -3*m. Let l be u(m). Are l and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from ktbt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135066 (base 8) in base 12?\nAnswer: 23706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 4:13 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-81))\/((-2)\/(-6)). Let v(z) = -206*z**2 + 1856*z - 13. Let x be v(9). What is the closest to -0.1 in x, 2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*z + 2, -4*d + 2*z = -3*z + 10. Sort -28, d, 0.\nAnswer: -28, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (46 + -6 - 25) + -68 + 2\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:45 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 138 = 2*j. Suppose -3*n - 6 = -2*n. Calculate the remainder when j is divided by (-1 - (-15)\/(-9))*n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 398355273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from rroeuoourgs?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -55?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 59755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aa + 0?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*27.\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 651 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25644751 + 31?\nAnswer: -25644720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 11*b**2 - 27*b + 18. Let i be f(13). Solve -10*v + 25 = -i*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 662768 and 1104?\nAnswer: 1988304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, -0.5, -4, -886 in ascending order.\nAnswer: -886, -4, -1, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 19 + 5. What is the smallest common multiple of c and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1387 or -1373?\nAnswer: -1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + -8 + 4 + (3 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-13) + 250\/65. Find the second derivative of 63*u**4 + 33*u - 24*u - 119*u + 51*u**k wrt u.\nAnswer: 1368*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84474564847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**3 - 37*g**3 + 103*g**3 + 925*g**2 - 470*g**2 - 52*g**3 - 455*g**2.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*s**2 + 4890*g*s - 2128*g - 2*s**2 - s - 7 wrt s?\nAnswer: 2*g*s + 4890*g - 4*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 473707429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:01 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 964 + -1925\/2. What is the third smallest value in -1\/6, 6, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -100*o**3 + 18*o**2 + 7*o + 1. Let j be d(-8). Suppose 586*s = 593*s - j. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.03, -4, 52 in decreasing order.\nAnswer: 52, 0.03, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 + -226. Let m(l) = -l**3 - 7*l**2 - 8*l + 3. Let j be m(-6). Solve -z*h = j, -5*v - 7 = 5*h + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and (-22 - (-34 - -1)) + 901.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.247136 and 4.\nAnswer: -12.988544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-10) + 8 + (-14)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -228 - 306. Let c = t + 659.9. What is c rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.9 in 3, -5, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.999703ng to micrograms.\nAnswer: 0.008999703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 1, 0.3, 65, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3318795, 3318799, 3318803, 3318807?\nAnswer: 3318811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -30. Suppose -3*y + 31 = -d. Let k = -11 + y. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0019 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-180) - 68\/(-18). Suppose -b*l - 3*w + 12 = 0, 2*l + 3*w + 7 = 19. Which is smaller: l or 10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -3*y**4\/8 + y**3\/3 + 175*y**2. Let g(f) = -13*f + 3. Suppose 5 + 0 = h. Determine h*g(d) - 7*j(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(-27)\/(z**3*z**(-3)) assuming z is positive.\nAnswer: z**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p - 75. Let n = 42 - 128. Calculate the remainder when ((-6)\/(-9))\/(-1 + n\/(-84)) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186 - -173. Let u(o) = -156*o**2 + 18*o - 2. Let k be u(t). What is k rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 58825, 117645, 176465?\n\"Answer: 58820*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwf when three letters picked without replacement from exwfwtqtq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 17\/30*p**5 + 20*p**2 + 0*p + 0 + 0*p**4 + 1\/28*p**8 + 0*p**6 + 0*p**7 + 0*p**3. What is the third derivative of j(i) wrt i?\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*h = -0*h + 105, -3*h - 85 = -4*x. Suppose -13*v + 16*v = 369. What is the remainder when v is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*w + 122, 2*y + 2*w - 42 = 56. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 1. Let x(y) = 4*y**2 - 12*y + 12. Let g(p) = -5*o(p) - x(p). Let z be g(-11). Which is greater: -29 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.89 - -0.11. Suppose 9 = -f + 2*l + 8, 0 = 7*f + 2*l - 41. What is the smallest value in p, f, 1.8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r - 20*r + 8*r. Let b(z) = -4*z. Determine y(b(k)).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 322 + -63363\nAnswer: -63041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 4, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14376 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 274 (b) -427 (c) -50 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a + 13 - a**3 - 14 - a**3 - 2*a**4 as v*a**4 + j + n*a**2 + k*a + p*a**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 2*d + 82. Let t(j) = -j**2 + j + 1. Let r(s) = o(s) - 2*t(s). Let w(h) = h**3 - 4*h**2 - 5*h. Let l be w(5). Does 16 divide r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89373185?\nAnswer: 5, 11, 1624967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -35*f**3 - 3*f**2 - 50*f - 47. Let d(w) = -132*w**3 - 11*w**2 - 198*w - 187. Let k(b) = 4*d(b) - 15*m(b). Give k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/30 - 156*i**4 + 292032*i**3 + 2*i**2 + 98*i. Find f such that r(f) = 0.\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-637)*343\/1862.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 9*p**6\/20 + 13*p**5\/6 + 49*p**4\/12 + 11*p**3\/3 - 836*p**2. What is u in t(u) = 0?\nAnswer: -1, -11\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 18872*f**3 - 22278372*f**2 + 44424720*f + 66721968 = 0.\nAnswer: -1, 3, 2358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/20 - 2*r**4\/3 - 11*r**3\/3 + 10*r**2 - 165*r. Let f be j(10). Solve -2*a - 10 = -4*l, f = -2*a - 2*l - 2*l + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 43983.1.\nAnswer: 1319.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)\/y)\/(y**1*y)*y**6\/y**(-2\/21))\/((y**(-2\/3))**(-37\/3)\/(y\/y**(-2\/19)*y*y\/(y**(-6)*y))) assuming y is positive.\nAnswer: y**(20219\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104, -72, -6, 112, 300, 576, 958, 1464?\n\"Answer: 3*o**3 - o**2 + 14*o - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46910 is divided by 11511.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -20*z**2 + 1500*z + 4. Let q be l(75). Solve g + 1 = q*r - 18, -3*r + 4*g + 24 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = -5*l + 16, 0 = 5*s - 5*l - 15. Let o = s - 11. Let z be (o + 4 + 0)\/(-5). Is z > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3361 + 5071 + 278 = -235*u + 720 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m**2 + 0*m**2 + 2*m**2)*(-7 - 2 + 3)*(10*m - 2*m - 2*m) as s + g*m**2 + z*m**3 + k*m and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t**2 - 3. Suppose 3 = g - 0. Let n be f(g). Let i = n - -6. Calculate the lowest common multiple of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45997 + 12568 = -261*n - 752*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 71 + 31. Let m be -3 - (216\/c + 2\/5). Solve -8*z = -9*z + m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.947366 - 0.052634. Let o = -47 + 72. What is the third smallest value in o, n, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -236, -184, -100, 22, 188, 404?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 11 + 74 + -28?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, 0, 2 in ascending order.\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 34*p**2 - 238*p + 13. Calculate k(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/5))\/((v*v*v*v**0)\/v))\/((v*v**(2\/13))\/((v**2\/v*v*v)\/v))*(v*(v\/(v*(v**11\/v)\/v)*v)\/v*v*v**11)**24 assuming v is positive.\nAnswer: v**(6282\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 7.2. Let v = -1.1 + w. Let r be -2 - -1 - 3\/(-2). Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14168 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 304 - 301. Put 2, 62, c in ascending order.\nAnswer: 2, c, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 5*v + 615 = 31*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.3 - 10. What is the nearest to 2 in h, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 4*t - 4. Let x be r(-7). Let h = x - -23. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101002000 - -21?\nAnswer: -11101001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) 2 (c) -3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369\/12*((-27)\/648)\/(26\/(-832)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195\/212 + 62\/53. Suppose -1 - 2*r - p*r**3 - 5\/4*r**2 = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 6 - 1. Suppose -3*b = -0*o + 2*o + 26, -5*b + z = o. Let q = -1 - o. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3\/r*(r**0\/r)\/r*r*r\/r**(-2\/9)*r*r*r*(r\/(r\/(r*r\/(r*r*r\/(r**(-5\/2)\/r)*r*r))))\/r*r assuming r is positive.\nAnswer: r**(-23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t + 95. Suppose j + j - 5*q + 43 = 0, 6 = 2*q. Let d be l(j). What is the highest common factor of 52 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v**2 + v + 1. Let i(t) = 3*t**3 - 2*t**2 - 2*t - 2. Suppose z = -2*l - 93, 0*z + 10 = 2*z. Let m be 24\/14 + (-14)\/l. What is m*x(r) + i(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 2*b**2 + 0 + 25*b + 1\/6*b**3. Let w(l) = 4*l + 13. Let r(m) = 21*j(m) - 6*w(m). Calculate r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7133 = 7140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**6\/40 + 3*v**5\/5 - 4*v**4 + 3*v**2 - 87*v. Find o such that b(o) = 0.\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1771427*h + 11. Let i be u(7). Round i to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -46*y**2. Let x be (10 + -8)*(-28)\/(-8). Let s(n) = -3*n**2 - x - 6 + 13. Give s(p(l)).\nAnswer: -6348*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -1*84\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.4 - -59. Let s = -2050915172.60000057 + 2050915160. Let z = h + s. Round z to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56787?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2744*g**5*j**2*y + 117*g**3*j*y + 11833*g*j**2*y + 6*g*j**2 + 4*g*j*y wrt g.\nAnswer: 54880*g**3*j**2*y + 702*g*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (845\/(-2704))\/(3675\/280)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 18*j - 508. Suppose -4*q + j = 3*p, -3*q = -7*p + 4*p + 543. Calculate the highest common divisor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6275.0539 - 4.\nAnswer: -6279.0539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, -11, 0.5, -41?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 36, 55, 74?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*p**4 + p**3 + 217?\nAnswer: 188*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 30 = 4*c. Suppose 2*q = -2, -4*d - 188 - 89 = c*q. Is (d - -6)*11\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -12b1?\nAnswer: 12ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 122390000 to the nearest 1000000.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167 and 5.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = -0*j + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49953 divided by -367?\nAnswer: -49953\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01394439309 and -0.5.\nAnswer: -0.48605560691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*6\/1. Let u = -182 + 224. Suppose 0 = -2*s + 3*o + u, 5*o - n = -5*s + 52. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h**2 + 3*h**2 - 2*h**2 + (-22 + 17 + 30)*(h - h + 2*h)*(-15 + h + 15) as r*h + s + y*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Let h(f) = -2*f**2 + 6*f + 7. Let i be h(6). Let a = -20 - i. Calculate the least common multiple of s and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5450870437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j + 0*j - 3*j + 3*j**2. Let l be ((-1632)\/156)\/68 + 22\/(-26). Let t(m) = -m + 3 - 4 + 0*m**2 + 0*m**2 + m**2. Calculate l*f(z) + 2*t(z).\nAnswer: -2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -55637977 and -55637977 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1.5, -7, -3, 2\/15 in ascending order.\nAnswer: -7, -3, 2\/15, 0.5, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3016, 6032, 9056, 12088, 15128, 18176?\n\"Answer: 4*l**2 + 3004*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-24) - 14\/(-3). Suppose 0*z + g*z - 3*l = 15, -3*z - 5*l = 25. Let c = z - -2. Solve 0 = 5*r + 4*p, -r + c*p = 8 + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:02 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 2)\/(17\/(-8449)) + 5.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 11*t + 11. Let f be a(10). Solve -5 = 2*c + f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 2. Let x(p) = -2*p - 4. Let v be x(h). Let g(a) = 5 - 3*a**2 + v*a**2 - 5. Let r(w) = -w. What is g(r(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57367688 and 9576.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 996 divide 3766872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*p - 114 = 0, -3*i + 0*p + 2*p + 139 = 0. What is the remainder when i is divided by (-4)\/(-10) - 73\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1037 or -524?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 - 1 = 0. Let r be o*1\/((-3)\/33). Suppose t = -b + r, -2*b - b = -t - 45. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -33*p**2. Suppose 5959*m = 5955*m - 4. Calculate h(m).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/24 - f**4\/4 + 5*f**3\/6 + 3*f**2. Let b(z) = z**3 - z + 1. Suppose 0 = -0*x - 5*x + 5. Give x*q(a) - 6*b(a).\nAnswer: -a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**7*d*d**(-1\/10)*d*(((d**(-2\/13)*d)\/d)\/d)\/((d\/d**6)\/d) assuming d is positive.\nAnswer: d**(97\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1044808 and 8296.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j. Let z = 9 - -14. Suppose -4*i = -13 - z. Solve j = -4*r + 3 + i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 6, h: 1, s: 1, y: 4}. What is prob of sequence yo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (0 - 2))*-9*(-145)\/522.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188 - 2*m + 189 + m**3 + 17*m**3 to the form y + h*m**3 + j*m**2 + b*m and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 136, 1, -3 in increasing order.\nAnswer: -4, -3, 0, 1, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -70 - 22. Solve 14 = 10*i + n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 258 + 61 + 72 - 1083*h + 63.\nAnswer: -1083*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2906 + -32213368747.\nAnswer: -32213365841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22301.\nAnswer: 29, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.5 - -2. Let v = -2.5 + x. Let c = v - 10.5. What is the smallest value in -0.3, 5, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, -400, 0.3, -3?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ush when three letters picked without replacement from {h: 2, d: 4, a: 1, s: 5, u: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11819 + -11803. Calculate the remainder when 2138 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:32 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2422797, 4845596, 7268395, 9691194?\nAnswer: 12113993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3920\/78679 + 2\/1919. Let x(t) = -t**2 + 2*t. Let v be x(2). Is i greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/(-8) + -2 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((sqrt(10)*3)\/sqrt(5)) + sqrt(9)\/sqrt(3)*4 + (sqrt(3) - sqrt(33)\/(sqrt(11)*-2)).\nAnswer: 35*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/49 and 25\/9.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 15789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 - 2 + 2 - q**3 + 4*q**3 - 2*q**3 + (4*q + 0*q - 3*q)*(q**2 - 2*q**2 + 2*q**2) - 13*q**3 + 54 - 54 - 46*q**3 - 46*q**3 + 4*q**3.\nAnswer: -102*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {t: 1, m: 2, y: 3, i: 1, c: 6, z: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150450 - 35?\nAnswer: -150525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9643004 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: Collect the terms in 194851*c**2 + 194851*c**2 - 389704*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84107, -168203, -252299?\n\"Answer: -84096*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-14)\/4))\/((-6)\/(-14))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494 (base 13) to base 8.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {d: 2, g: 2, x: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {s: 1, d: 2, x: 11}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -76.5267 times -5\nAnswer: 382.6335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ea2a1 (base 15) to base 13.\nAnswer: 407b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 - 28 - 2*c**2 - 34 - 29 to the form m*c**2 + x + r*c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2 + 3836*y + 3832 = 0.\nAnswer: -958, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1485 and 42120?\nAnswer: 463320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 539 = 3*u, -3*u + 886 = 2*u + 4*n. What are the prime factors of u?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.818*20.\nAnswer: -16.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1221?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 614*t + 3634. Determine i(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Suppose 5*a - s = n, -5*a = -4*n - 4 + 14. What is the least common multiple of 3 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 18\/17, -4, -5, -4.1?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -t - 149. Suppose -5*g - 11 = 3*r, -3*r - g = r + 43. Let j be ((-33)\/r)\/(t\/208). What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056482 rounded to 4 decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h + 39*h + 39*h - 182. Solve -3*u - 3*l = -h + 8, 0 = u + 4*l - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37961700 to the nearest integer?\nAnswer: 6161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x\/(x\/x**(-2\/5)))\/(x**(-6)\/x**(-2\/5)))\/((x\/x**2)\/((x\/x**(-3))\/x))**10 assuming x is positive.\nAnswer: x**(196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2289 - -7271202974\nAnswer: 7271200685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -882.9125 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 0, 13, 26, 39?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = f + 3*i, 3*i + 18 = -2*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -8\/73 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001194 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1377) + sqrt(1377)*-2 + (sqrt(17) - -2*(sqrt(17) - (sqrt(17) + sqrt(68)))) + sqrt(17) + sqrt(68) + 1 + -5 + 5 + 0)**2.\nAnswer: -108*sqrt(17) + 8268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoroyh. Give prob of picking 1 r and 2 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 + 1153380*b**3 - 332565589150*b**2 - 3325742395500*b - 8314428075625 = 0. What is b?\nAnswer: -5, 576695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 892, 2990, 6324, 10894?\n\"Answer: 618*t**2 + 244*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oii when three letters picked without replacement from {o: 3, i: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**3\/v*v\/(v\/(v\/v**7))*v*(v**7\/v)\/v*v**6 assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1263322, -5053276, -11369872, -20213110, -31582990, -45479512?\nAnswer: -61902676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -3.6\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1008\/210*(6\/3)\/(16 + (-1 - 11))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -44 (b) -83\/10 (c) -32 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14024978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14, 3, 1\/4, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185759, 185490, 184739, 183260, 180807, 177134?\nAnswer: 171995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (78\/(-8))\/(1*6\/(-8)). Suppose -c - z = 4*m - 19, m = 4*c + 10. Solve -33 = -5*y - 0*s - m*s, 5*y + 4*s = 41 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.12, -2\/15, 1\/7 in descending order.\nAnswer: 3, 1\/7, 0.12, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-1)*(-15)\/4*2\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 30. Which is the second smallest value? (a) 0 (b) 6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2. Let f(k) = -6*k + 30214. Determine f(w(h)).\nAnswer: 30*h**2 + 30214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*h = -16, -3*y - h = 3*h + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 487*q**5 + 2496*q**4 - q + 901702 wrt q?\nAnswer: 9740*q**3 + 29952*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:13 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - 6*(sqrt(720) - (sqrt(720) + -2)) - sqrt(720)) + (-2 + sqrt(720))*-1)**2.\nAnswer: 240*sqrt(5) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 + 19031000*b - 90544740250000 = 0?\nAnswer: 9515500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 4*a + 3*g = 199, -2*g = 4. Let z = a - 46. Sort z, 1, 2 in descending order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834506\/33 - (5916\/(-396) + 15).\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 158447, 317046, 475643, 634238, 792831, 951422?\n\"Answer: -k**2 + 158602*k - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3139 + -3140. Sort 2, 0, p, 3, -102 in increasing order.\nAnswer: -102, p, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 87714*v + 526295. Determine h(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 413, 467, 537, 629, 749, 903, 1097, 1337?\n\"Answer: j**3 + 2*j**2 + 41*j + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (882\/3150*6\/6*10)\/(4\/170)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 8282, -3, 3, 4.\nAnswer: -3, -1, 3, 4, 10, 8282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(18)\/(sqrt(48)\/sqrt(8)) + (3 + sqrt(363) - sqrt(363)))**2.\nAnswer: 36*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1796 = -464*c + 9627 + 8065 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -4*p - 3*f, 5*p - 71 = -4*f + 31. Let k(r) = 2*r + 7. Let l be k(-5). Let n = l + p. Calculate the greatest common divisor of 45 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-1*(-4)\/(-2970)*-9?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 21\/(-9))*42. Suppose f = 2*u + 10, 0 = 5*f - 2*u + u - p. Solve -f*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 + 0.017661\nAnswer: 2.517661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s**(-19)*s)))**(-2\/125) assuming s is positive.\nAnswer: s**(34\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.3. Let z = -12 - -7. What is the closest to -1 in u, 2\/13, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40863525?\nAnswer: 3, 5, 23, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26623 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m + 297388 = -42*m. Let h = 33114 - m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 43158.42.\nAnswer: -43159.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 15*v - 6. What is the lowest common multiple of 113 and v?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 414545499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**29*(c**(-33)\/c)\/c*(c**16)**(1\/14) assuming c is positive.\nAnswer: c**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-2)\/8) - 2. Let t(j) be the first derivative of a + 0*j**2 + 0*j + 1\/3*j**3 + 3\/8*j**4 + 1\/10*j**5. Factor t(w).\nAnswer: w**2*(w + 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 - 322*l**3 + 338682*l**2 + 678322*l + 339320 = 0. Calculate l.\nAnswer: -499, -1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/32)\/(2\/16). Suppose -3*t + 89 = c*b + 345, 3*b = 3*t - 171. Let s = 77 + b. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 3:52 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24510 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m + 7*m + 21*m - 107*m + 22*m + 33*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-7 - -4) + 324). Let z = k - 33223\/51360. Calculate the common denominator of z and -87\/4.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016848 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 + 134. Suppose 5*r - 5*i = 10, 2*r = s*r + i - 7. Sort r, 30, -1, -5 in decreasing order.\nAnswer: 30, r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2895, 2679, 2463, 2247?\n\"Answer: -216*w + 3111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.2, -0.5, 0.1, -183, -2\/4825?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (10 + (-27 - -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-5)\/(-8 + 3). Let k(w) be the second derivative of -2\/3*w**3 + 2*w + w**2 + n + 1\/6*w**4. Factor k(h).\nAnswer: 2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -431, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 57. Let v(s) = 18*s**2 + 12*s - 77. Is v(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q. Let m = 4 - 4. Let n be 0\/((m - 1)*-2). Let a(f) = -4*f + 0 + 2*f + n. Determine a(k(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*16\/(-6). Let g(f) = -4 + p - f. Let a(m) = 2*m + 7. Let j(b) = b + 2. Let q(t) = 2*a(t) - 7*j(t). Determine g(q(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2923306 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {v: 11, d: 3, g: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.5821126?\nAnswer: -1.7463378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n. Let j(h) = -36*h + 258. Determine j(a) + 3*s(a).\nAnswer: -3*a + 258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7389 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 9 = 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + s + 83, -3*t - 3*s = -16 - 104. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, 0.5, -547.8 in descending order.\nAnswer: 1, 0.5, 0.3, -547.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - l**3 + l**2 + (-l**2 + l**2 - l**2)*(-2*l + 4*l - l) + 2*l**3 - 2*l**3 - 2*l**3 + 283 - 283 - 78*l**3 to v*l**2 + c + k*l + q*l**3 and give q.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*4\/14*(-1302)\/120?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (81\/3)\/((-24)\/(-16)). Let d be y\/(-21)*(-84)\/18. Solve 0*q + 5*r + 29 = d*q, -q - 4*r - 19 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011110 (base 4) to base 5.\nAnswer: -120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*n - 99616, -10 = 31*n - 36*n. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 + 64. Let v be 1\/((-2)\/6)*(-100)\/30. Solve 2*f = o*n + v, 3*n + 2*f = -2*f - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u**3 - 17*u**2 + 5*u + 16. Let m(c) = -7*c**3 + 8*c**2 - 2*c - 8. Let n(p) = -6*b(p) - 13*m(p). Let k be n(2). Is k less than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -755 - -7551\/10. What is the second biggest value in -4, x, 0.028?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.4, 5, 1\/46099?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2631\/11 - -239. Let b = -4 - -6. What is the closest to 2 in k, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 254604260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = 61. Let b(y) = -y**3 + 10*y**2 - 8*y - 5. Let n be b(8). Let o = g + n. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**7\/210 - w**4\/12 + w**2 - 1. Let p(x) be the second derivative of j(x). What is the second derivative of p(k) wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6*6\/4. Let l = 3 + m. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342c3 (base 14) to base 8.\nAnswer: -367503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 203598.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21335 and -0.054?\nAnswer: -0.0115209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*j + 164*j - 125*j + 132 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.1, -2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1281833 and 0.266.\nAnswer: -1281832.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4 + 191965*h**3 - 53298765*h**2 + 4948741575*h - 153286313490 = 0. What is h?\nAnswer: 93, 38114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {e: 2, m: 2, p: 7, r: 1}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2 + 3*p + 0*p - 2*p. Calculate the smallest common multiple of 7 and i(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515037 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**4 - 2 + 2*j**4 + j**4)*(-1589 - 149*j + 1589).\nAnswer: 298*j**5 + 298*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8505))\/(4196\/44058).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18077008 is divided by 659.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-196)*252\/(-96)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -i + 6, 2*i = -5*y + 23. Let g be (-6)\/(-81)*-9*-6. Solve 7*z + i = g*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**23)\/x)\/x)**(-1\/37)\/((x\/(x*(x*x\/x**4)\/x))\/x)**26)**(-5\/4) assuming x is positive.\nAnswer: x**(2375\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(2\/(-2 - -1)). Let j be 3 + 2 + -2 - d. Solve j*k - 7 + 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/11, 0, 0.1, -0.1117?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*10\/(-15)*(-12)\/16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 - 10*s + 5. Let x(t) = 7*t**2 - 11*t + 6. Let a(w) = -6*m(w) + 5*x(w). Let p be a(5). Solve p = -4*j + 4 + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -25*v - 17. What is n(3)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12533, -12538, -12545, -12554, -12565, -12578?\nAnswer: -12593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*v = -784, -7*v - 12 = -3*v. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 1\/409 (c) -0.4 (d) -2\/9 (e) -5 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k. Let o be b(0). Suppose -46 - 50 = -4*m. Suppose -2*j + m = -0*j. Solve o*q - 4*q = -j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from uuuuuuruulhrrhur.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**9\/504 - i**5\/30 - i**2. What is the third derivative of w(v) wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h**(-13)*h))**(-46) assuming h is positive.\nAnswer: h**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*t - 0 + 10, 5*t + 41 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8823306 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 223 = 8*o. What is the highest common factor of o and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 7*r**2 + 7*r - 48. Determine w(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 604650 - -6406?\nAnswer: 614356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -131 + 29. Suppose x*t + 25 = 12*t. Is (-612)\/(-20) + (-2)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30221 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 597\/4724 or 0?\nAnswer: 597\/4724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/(-6) + (-2)\/(-4). Suppose 0 = -43*q + 25*q - 54. Which is the third smallest value? (a) 5 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -i - 13, z = 5*i - 0*z + 1. Let w = 90 - 56. Let u = 33 - w. Is i greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 94 = 18. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.02, -27, 2\/3, 0, 0.044?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*x + 83. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -6*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 5 + sqrt(121)\/(sqrt(22)\/sqrt(2)) + sqrt(55)\/sqrt(20))**2.\nAnswer: 81*sqrt(11) + 1269\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176095181 to the power of 1\/3, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + p - 1. Let u(v) = 34*v**2 + 13*v - 5. What is -u(m) + 6*z(m)?\nAnswer: -28*m**2 - 7*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7126.17857 - -7125.417873827. Let i = l - -0.7607. Round i to seven dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 1. Let n be f(4). Suppose 0 = -3*v + 5*p + 1072 - 257, -5*p = 4*v - 1040. Suppose 8*q + v = n*q. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*-2 - (sqrt(19) + sqrt(57)\/sqrt(3) + -4).\nAnswer: -16*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**3 - 9*v**2 + 4*v + 61. Let n(z) = -1. What is 36*n(x) - 2*w(x)?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a hour?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = -5*r - 5*t, -122*t + 123*t = -2*r + 278. Calculate the remainder when 9586 is divided by r.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*j - 1 = 0, 558*b - 554*b + j - 17 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14211945 by 15.\nAnswer: 947463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524 and 35501.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 10*d + 12 + 5 = -12*d, q = 3*d - 27 + 47 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 476 = -5*r + 3*v, 4*v = -2*r + 206. Let j be r - (-3 + -1 - -3). Suppose 30 - j = -2*u. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/38*4\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10654 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(2*d - 10*d + 2*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*-1)\/(sqrt(16)\/sqrt(2)*1).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 19043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141588, 283211, 424842, 566481, 708128, 849783, 991446?\nAnswer: 1133117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**3\/3 - 8*u**2 + 16*u + 188. Let h be v(-17). Which is greater: h or -13\/17?\nAnswer: -13\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 88*n**2 + 2*n. Let s(l) = -135*l**2. Determine w(s(q)).\nAnswer: 1603800*q**4 - 270*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7884 and 1431822?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - -94) + (-2 + -2 - 4) + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-56) + ((-423)\/21)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.14, 4\/5, 0.062, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69051675 is divided by 254?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17969\/25451 + 3\/821. Let f = 123\/217 - h. What is the fourth biggest value in 1\/4, f, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 - 2*u. Let n be 55 + -57 + (4 - 0). Let a(j) = -10*j**2 - 5*j. What is n*a(h) - 5*x(h)?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 114.97894 + 11.64\nAnswer: 126.61894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:39 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18687*n + 659617 = -18670*n. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 + 242.99412. Round m to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 + -132. Let o(h) = 4*h**3 + 3*h**2 + 2*h + 1. Let d(w) = -3*w**3 - 4*w**2 - w - 2. Let t(y) = -3*d(y) - 2*o(y). What is t(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11811.3 to the nearest one hundred.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/7, -2, 4\/5, -0.599, -156?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33470*n**3 + 66949*n**3 - 33476*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 != 7\/330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*h + 12*h + 68*h + 434752000 = 0. What is h rounded to the nearest ten thousand?\nAnswer: -2720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90928, -363714, -818354, -1454848?\n\"Answer: -90927*j**2 - 5*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*t - 38 - 103*t + 30*t to the form w + i*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28771?\nAnswer: 28771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155910 = -15204*a - 41742 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99793523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026612080664 to 4 dps.\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 88641, 88487, 88337, 88191, 88049, 87911?\n\"Answer: 2*q**2 - 160*q + 88799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awohahahwwowhhhwo. What is prob of picking 2 w and 2 h?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 7*w + 3. Suppose -3*l + 21 = -0*l. Let x be t(l). Which is the smallest value? (a) 0.2 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2dbff81 + -1?\nAnswer: 2dbff80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*p - 18 = 0, -u + 9 = -0*p + p. Suppose -2 - u = -4*l. Suppose 0 = 3*m + 6, 0 = l*s - 0*m + 3*m - 124. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127689 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 90 - 18. Calculate the remainder when q is divided by 7\/((-147)\/(-6)) + (-4061)\/(-217).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 72732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8 = -3. Suppose 0 = -5*l + z*y + 285, -2*l = 6*y - y - 93. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 0*h**2)*(12*h**2 - 14*h**2 + 8*h**2)*(0 - 3 + 2).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + -2 + sqrt(128))*-6)**2 + (1*(sqrt(128) + sqrt(128)*2) + -2)**2 + -4)*4.\nAnswer: 6528*sqrt(2) + 24336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 5*a)*(-449*a**2 - 630*a**2 + 224*a**2).\nAnswer: -3420*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + b7183278?\nAnswer: b718327a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 + 7702*p**3 + 54012*p**2.\nAnswer: -2*p**2*(p - 3858)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(14*t - 2 - 4*t + 3*t).\nAnswer: 26*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = l + 3*t, 2*l + 23 = 3*t - 31. What is the tens digit of ((-7766)\/l)\/((-3)\/((-18)\/4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657488 a multiple of 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -857 - -857. What is the closest to l in 0.02, -1.23, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247589 is divided by 82528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1548*j - 2272*j = -31856 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(3\/(-174) + 22200\/76560)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14638*t**5 - t**4 - 3*t + 8921 wrt t?\nAnswer: -292760*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248879\/5 - -49605. Let c = -174 - w. What is the common denominator of 133\/18 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**6\/30 + 187*y**3\/3 - 68*y**2. Let t(g) be the first derivative of h(g). Let o(v) = 4*v**2 - 2 + 2. Determine o(t(f)).\nAnswer: 576*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -45087915 divided by -1\nAnswer: 45087915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 1. Let q(n) = -n**2 - 17*n + 144. Let c be q(6). Calculate z(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5064147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_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 l(q) = 9*q + 2. Let m(f) = f + 1. Calculate -l(p) + 2*m(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -23. Calculate the highest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19735 (base 10) to base 11.\nAnswer: -13911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 39*z + 57. Let t be (-6*9\/45)\/((-4)\/130). Let o be g(t). Solve -3*p + o = 60 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 157*h + 219. Let f be s(51). Solve 100*u = 97*u + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*x + 21*x + 336. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 1, x: 4}. What is prob of sequence jt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 254460705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132748817.\nAnswer: 1489, 89153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 12*k**2 + 12*k + 2. Calculate d(7).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223 (base 15) to base 7.\nAnswer: -14151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*k + 316*k - 2450*k**2 + 2454*k**2.\nAnswer: 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (0 - -4))*1. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106822821*v - 157526529.\nAnswer: -106822821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 5:57 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 12*q - 5050. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1426915 = -25*o - 343165. What is o rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 32 (b) -3 (c) 298 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**3 - 8*c**2 - 7*c + 3. Let j(i) = -11*i**3 - 17*i**2 - 15*i + 7. Let a(q) = -4*j(q) + 9*k(q). Let n(h) = h**2 + h - 3. Let p be n(0). Give a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {k: 2, e: 3, n: 4, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 114. What is the smallest value in -1, r, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8344 - -8371. Suppose 2*n - 5*q + q = 90, 4*n - 180 = q. Calculate the highest common factor of v and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*2\/16*(880\/594)\/(-5)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 6. Suppose 0 = -2*p - 3*c + 10, -p + 3*c + r = 3*p. Suppose -4*a + p*v = -a - 239, -4*a + 3*v = -319. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15033 + 15039 - 7*o + 15036 - 60101 + 14993.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 - (3 + 6 + -14) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70721*h**2 - 35365*h**2 - 2*h**3 - 2*h**3 - 35356*h**2 + 9*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + i - 964, o - i = 3*i - 208. Let u = 371 - o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 9*a**2 - 1. Let d be h(9). Is d\/(-2)*-38*-5 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - (-553 + 557 - (38 + -1))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {r: 2, t: 2, h: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/(g**(-2)*g))\/(g**(-1\/16)*g*g**(-12)) assuming g is positive.\nAnswer: g**(241\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/120 + s**5\/12 - s**4\/3 - 4*s**3\/3 + s**2. Suppose -19 = 3*u + g, -u + 0*g = 2*g + 8. What is the units digit of t(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9492 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3003*o - 9011*o + 3001*o + 10 + 3005*o. Let u(l) = l - 7. Calculate 5*i(j) + 7*u(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o - 113. What is the remainder when 108 is divided by c(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460439, -920996, -1381553, -1842110, -2302667, -2763224?\nAnswer: -3223781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**3 + 26*n**2 + 6*n + 6. Let f(x) = 55*x**3 + 155*x**2 + 35*x + 35. Let p(s) = -6*f(s) + 35*j(s). What is the third derivative of p(i) wrt i?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1130213 - 112113?\nAnswer: -1302332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 8*h + 14*h - 221. Let w(q) = 4*q + 31. Calculate w(h).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.1 - -6206094444.\nAnswer: 6206094449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 3506?\nAnswer: 17530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - j)*(-147 - 36 - 153 - 27 - 1 + 2 + 1 + (0 - 2 + 3)*(-1 + 0 + 0)).\nAnswer: 724*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-50)\/18 - (-88)\/9. Let x be 16\/30 + i\/(-30). What is the second biggest value in 21, x, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(8) - 2*sqrt(242))*-4 - -3*((sqrt(32) + 1)**2 - sqrt(64)\/sqrt(2)).\nAnswer: 99 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 4*v - 10 = -4*s, -5*s + 5*v = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 6:12 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {b: 1, p: 1, z: 1, x: 2, w: 2, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 13*q + 26. Let c be t(11). Factor -4*l - 5*l**3 + 2*l**2 + l**4 + 2*l**3 + c*l.\nAnswer: l**2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.11 (c) 21\/1241 (d) -1\/5 (e) -4 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -260 - -666. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 82*j - 2. Let s(k) = 11*k**2 - 162*k + 4. Determine -5*a(f) - 2*s(f).\nAnswer: -12*f**2 - 86*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2 - 16156*v - 64640 = 0?\nAnswer: -4, 16160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*a = f - 16, 3*a + 22 = 2*f. Suppose -4*h - 32 = -f*h. Suppose -h - 8 = -o. Solve 0 = 4*z + o, 4*i - 7*i + 12 = -3*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(6\/5)\/b)\/b*b)**(-30)*b**(2\/9)\/b*b*b\/b**(1\/4) assuming b is positive.\nAnswer: b**(-1261\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6936661 is divided by 145.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 42. Let k = -10 - r. Let v(h) = -8*h**2 - 3*h - 3. Let y be v(k). Round y to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10899134*p. Let w(v) = -v. What is r(w(t))?\nAnswer: 10899134*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3015, -6024, -9033, -12042, -15051, -18060?\nAnswer: -21069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1180*h**3 + 98*h**2 - 43*h + 1230. Let m be w(66). Round m to the nearest one million.\nAnswer: -339000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4497923681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724538017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -0.5, 1\/8 in increasing order.\nAnswer: -0.5, -0.4, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 769.905 grams?\nAnswer: 0.000769905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -12*y + 1494. List the prime factors of y.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*g**5*s + 79*g**4 - 5*g**2*s - 37*g*s - 4*g wrt g?\nAnswer: 780*g**2*s + 1896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136437.\nAnswer: 3, 7, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(-13*s + 12*s - s - 46*s**3) to the form l*s**2 + g + y*s**3 + h*s and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5\/7 - 88254*w**4\/7 - 971870094*w**3\/7 + 5451160666*w**2 + 189930759744*w - 52109278242984\/7 = 0.\nAnswer: -22083, -37, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:01 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1189343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.21 + 0.21. Let a = 0 - x. Let w = 4 - a. What is the closest to 1\/4 in w, 1\/2, -2\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01052811 to 4 decimal places.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 3. Let q be w(11). Calculate the highest common divisor of q and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5451 is divided by 1258?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 0.269497.\nAnswer: 4.269497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/3*(-4 - -3). Let g = 57 + -57. What is the nearest to g in y, 4, 9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/6840 + (-4)\/(-38). Let z = 0.3 + -2.3. Let k = z - -2.1. What is the third biggest value in k, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1917278, 1917275, 1917272, 1917269, 1917266?\nAnswer: 1917263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*g = 82 - 26, -2*p = 5*g - 10. Let a = 12 - p. Let z be (-4)\/16 + 10\/8. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74, -151, -228, -305, -382?\n\"Answer: -77*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.95 or 0.0072?\nAnswer: -9.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 4:24 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1084 at most as big as -1179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 70\/33, -1, -1\/2 in decreasing order.\nAnswer: 70\/33, 2\/21, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 + 3 = 0. Let t be 4\/2*(-4)\/8. Put t, -5, y in ascending order.\nAnswer: -5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96755023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**8\/20160 + q**7\/840 + q**6\/360 + 11*q**5\/20 - 18*q**2. Let t(h) be the third derivative of n(h). What is t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 30. Let s = 56 + i. What is the units digit of s + 0 + (3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*f = -16, -3*f = -5*p + 13 + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -175410 - 443?\nAnswer: -175853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-8))\/(((-2)\/2)\/508) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(0 + 0 + 3\/(-6))*(-520752)\/824524?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -106*q + 11. Let c(x) = 10*x - 66. Let r be c(6). Is l(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 18. Let l be (-3)\/9*t\/2. Suppose 0 = -h - h + 4. Solve l = 2*c - 0 + h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 14 (b) 2 (c) 2178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/33 + (-17)\/(-3). Solve 2*o - w = 3*b, 5*o - 4*b + 2*b - 18 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 z when four letters picked without replacement from hzfphfhzqfz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*n + 21, 89*w - 84*w - 2*n = 19. Solve 6 = 2*m + 2*b, -w*m - b = 8 - 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*p + 227 + 753 = -1594 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 7*d = 3*r - 126, -2*r + 178 = -4*d. Let w = d + 814. Does 59 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -y - 8. Let j(i) = -i**3 + 9*i**2 + 18*i - 40. Is 20 a factor of j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.2 (b) 19.2 (c) 11 (d) -18 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, i: 3, p: 2, l: 1, r: 1}. Give prob of picking 3 i and 1 j.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 977\/5 + -196. Let q = 6546 - 6545.9. What is the fourth biggest value in q, 3, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -39. What is the third biggest value in 3, 9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*v**4 - 5*v**3 - 209.\nAnswer: -36*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 101*h**2 + 3*h + 6. Let f be y(-2). Let i = 5 + f. List the prime factors of i.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from ydqxkmmqxmxqxdx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6384c01 + -5?\nAnswer: b6384bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -28258*j - 29162256. What is g(-1032)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*p**2 + 9*p**4 - 87*p**2 + 14 wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (245\/(-980)*192\/14)\/((-6)\/(-28))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -3*h**4\/4 - 28*h**3 - 81*h**2\/2 + 462. Find k such that a(k) = 0.\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -747 (c) 4874 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5.2. Which is the third smallest value? (a) 21 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 559857.\nAnswer: -2799285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26972 is divided by 3762.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113924936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(3*w - 1 + 1) + (-5 + 3 + 1)*(-3 + 2*w + 3) - 62*w + 11*w - 111*w as g*w + n and give g.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 11:43 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 1068?\nAnswer: 1068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776 = 13*d - 9*d. Let s = d - 94. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531 + 0*l + 7*l - 1002 + 1002.\nAnswer: 7*l + 531","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 93 equal to 146422\/1565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h + 295 + 836 = 13 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8066.2 to the nearest one hundred.\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -69*w**2 - 2472*w + 224. Determine t(-35).\nAnswer: 2219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.816506368 rounded to 4 decimal places?\nAnswer: 1.8165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -25 - (-88893)\/(-3486))\/(2\/312)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3*o - 2*o - 4*o)*(-2 + 2 - 2*o**2) to the form v*o + f + s*o**3 + q*o**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 20 = 15*o, 23*o + 5 = 3*c + 50*o - 25*o - 28 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3\/15 + 20968\/60 + (-8)\/(-24) and 70.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2.026 times 0.0358\nAnswer: 0.0725308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -40*r**2 - 1\/2*r**5 + 5\/4*r**4 + 40*r + 25\/2*r**3 + 151. Determine u so that m(u) = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -365157 - -364835.734. Let s = -932 - -611. Let z = f - s. What is z rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*m - 20. Let f(h) = h + 3. Give f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34.1972, -4, 8.\nAnswer: -4, 8, 34.1972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1, -5, 19\/598, 3?\nAnswer: 19\/598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169\/8643 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-32016884.\nAnswer: -672354564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/30 + 11*k**4\/6 + 14*k**3\/3 - 74*k**2. What is the units digit of z(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1730?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-49)\/(-1323)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 50.7. Let h = -0.3 + 1.3. What is the closest to q in h, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-72)\/162)\/((220\/6)\/(-5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4555 = -5*v, 5*v - 4*d + 5*d - 4570 = 0. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -2\/3, 9\/2099?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 114c + 13e1b?\nAnswer: 14f67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 5:50 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 19*x + 52. What are the prime factors of m(8)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 567*s - 14765. What is b(25)?\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 4. Let g be r(6). Suppose 0*v - 8 = -4*v. Is (v - (1 - g)) + 40 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -677.81 - -664.81007. Let q = 0.9 + -13.9. Let u = q - z. Round u to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - l = 3, 18 - 15 = -2*p + 3*l. Solve -4*i - 4 = 3*h, 2*i - p*h - 24 = 2*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 17*g + 4*g. Solve 77*p - 82*p - 15 = g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/2114010 and -29\/1409340.\nAnswer: 4228020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/9 + 2*a**3\/3 + 80*a**2\/9 - 56*a\/3 = 0.\nAnswer: -6, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.75 + 1. Let b = 0.43 + f. What is b rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffiiqiii. Give prob of sequence fifi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*2*4\/(-8). Put 3, l, -1 in increasing order.\nAnswer: -1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 106089136. Let g(o) = o. Calculate g(a(b)).\nAnswer: -b + 106089136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 81, 155, 229?\n\"Answer: 74*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1600 and 20.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1944, 1946, 1948, 1950, 1952?\n\"Answer: 2*y + 1942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + (-1321)\/(-7). Let k = -5813 - -5834. What is the highest common factor of v and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:12 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003342 to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 42*j = -16. Calculate the highest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (sqrt(832) + sqrt(832) + 2 + 2)**2*-5.\nAnswer: -16719 - 640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66330.47 litres to millilitres.\nAnswer: 66330470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 6. Suppose 4*j + q*j + 328 = 0. Suppose -6*h = 5*h - 44. Which is the third smallest value? (a) h (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 50*n + 28. Let z be (17\/(-2))\/(4\/(-8)). Is m(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a, -4*s = -14*a + 18*a - 1008. Which is bigger: s or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 1323?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3280 = 7*b + 3*b. Let g = 484 - b. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 793*i + 3720*i - 1067*i in the form x*i + c and give x.\nAnswer: 3446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/16))**49*(k*((k*k\/(k**(-4\/9)*k))\/k*k)\/k)\/(k\/(k*k\/(k\/(k\/((k\/k**(5\/3))\/k))))*k) assuming k is positive.\nAnswer: k**(1771\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 31.94. Let t = 0.44 + f. Let w = -6 + 2. What is the third biggest value in 4, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468549 divided by -1?\nAnswer: -468549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745739.1g to milligrams.\nAnswer: 745739100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 11:59 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29201\/932 + -19\/233. Let p = 31 - q. Which is the closest to 1\/2? (a) 0.6 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 6. Let h be i(17). Let s = -79 + h. Is s*(-4 - -2 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32*-8447.\nAnswer: -2703.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 9*y - 9*z - 57, -y = -3*z - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19093700 rounded to the nearest 100000?\nAnswer: 19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -0.06. Let q = -1125\/7 + 161. Which is the nearest to d? (a) 4 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.4 (c) 5 (d) 2 (e) -56.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 35897778867.\nAnswer: -35897778867.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748300376?\nAnswer: 2, 3, 223, 326663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let d = a - -2.1. Is d at most as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3, d: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2376 and 297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*k**5*r - 8*k**5 + 2*k*r - 14*k - 54 wrt k.\nAnswer: 1300*k**3*r - 160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6666)\/707*(-98)\/(-42)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 3, n: 2, s: 2, p: 4}. Give prob of picking 1 p and 1 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.21 (b) 4 (c) 354.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6*(4\/(-1) + -60). Which is the closest to 0.1? (a) i (b) 3 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -615*n**3 - 21*n**2 + 2*n + 9. Let r(y) = -614*y**3 - 19*y**2 + 3*y + 10. Let g(j) = 2*r(j) - 3*v(j). What is the third derivative of g(a) wrt a?\nAnswer: 3702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -570.525 - -431.53. Let l = -139 - p. What is l rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352648 + -352646.899972. Let g = 28 - 26.9. Let i = g - n. Round i to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Let k(a) = -6*a**2 + v*a**2 + 0*a**2. Let l(o) be the third derivative of -5*o**4\/24 + 30*o**2 - 26*o + 2. What is l(k(r))?\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1648 - 1635. Solve -25 = -3*h - v*u + 11*u, -25 = -4*h - u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49720?\nAnswer: 2, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 3. Let d be h(0). Suppose -3*f - 111 = -3*v, 76 = 2*v + 2*f - d*f. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 18 = -0. What is the remainder when z is divided by ((-2)\/(-3))\/(1\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnydbfuydyubydf. Give prob of picking 2 d and 1 b.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:30 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 14 = -3*x, 3*q + x = -2. Let a = -9 + 17. What is the highest common factor of q and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = 5*y, 3*n - 4*y + 9 = 6*n. Solve 4*f = 3*g + 11, g - 2*f = -n*g - 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j - 26516 = -49*j + f, -5*j = 4*f + 33145. Let r = 3801 - j. Round r to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4 + 2. Suppose 5*u - w = 34, -t*u - 2*w = -13 + 3. Calculate the highest common factor of 15 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 36*r**3 + 7*r**2 + 7*r - 15. Let q(z) = 24*z**3 + 5*z**2 + 5*z - 10. Let c(o) = -7*q(o) + 5*x(o). Find the first derivative of c(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*l + 5*i, 4*l = -l - 5*i - 25. Let v = -0.02 - -2.02. Which is the closest to -0.1? (a) l (b) v (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193.5 + -210. Let f = 8.5 + q. Which is the third biggest value? (a) 1\/5 (b) -0.2 (c) f (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126284101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*s + 218 + 331, -139 = -z - 3*s. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 23 + -2 + -35 + -9.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 363992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0085 - 0.0375. Sort j, 1, 0 in increasing order.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 23*d + 35. Let n be q(-26). Let m = n - -59. Calculate the greatest common divisor of m and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135922164.\nAnswer: 2, 3, 7, 37, 101, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (50\/(-15) - 2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*d + 1966 = 1975, -4*d = -2*k + 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -3 + 14\/21*318\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9863\/2818*1\/77?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggcgggggc?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9813 is divided by 196?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + -4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 - 3*u + 0 + u + 2 + u**3. What is the least common multiple of 4 and y(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 218205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53616082?\nAnswer: 2, 13, 23, 89659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20.19. Let f = -0.39 - y. Which is the closest to 0.1? (a) 5\/4 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-3)\/(6\/1250). Let c be x\/(-2)*2336\/(-3). Round c to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*p - 28 = 0, 0*o = o + 2*p - 12. Let y = o + -6. What is the first derivative of -y - 2 - c**2 + 6*c**2 + 0*c**2 wrt c?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2 (c) 487\/9 (d) -80 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = -2*c, 5*c - c - 3*m = -1. Let x be (0 - (c - 1)) + (-6 - -11). Suppose -x*o + 13*o = 801. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 7. Let j be c(-19). Is (-35)\/(-2)*(j - 6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 + 0.6. Let l = -13 - -17. Let x = 3 - l. Which is the closest to x? (a) 0.5 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 91*s**3 + 2*s**2 + 5*s. Let p(v) = -v - 8. Let o be p(-4). Let n(c) = 183*c**3 + 5*c**2 + 11*c. Let k(i) = o*n(i) + 9*f(i). Does 26 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 1063, 1596, 2129, 2662, 3195?\nAnswer: 3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 31. Let l = -13.1 + v. Let k = -7\/6 - -37\/42. Which is the nearest to l? (a) -3\/7 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -132.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2*1\/88). Let v be (-209)\/p*8\/(-2). Let o = v + 27. Solve -3*u + 4*k - 19 = 0, 7*u = 3*u - 3*k + o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437290399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3425 - 2231 + y - 2715)*(-3*y**2 + 3*y**2 + 2*y**4 + 3*y - y**4 - 3*y + (2*y - 6*y + 5*y)*(3*y**2 + 2*y**3 - 3*y**2)).\nAnswer: 3*y**5 - 4563*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + 32\/12. Suppose 3*a - 12 = 2*q - 4, -d*a + 5*q = 2. Let p = a - -13. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**3 + 2*a**2 + 13*a - 4. Let t(p) = -18*p**3 + 3*p**2 + 25*p - 7. Calculate 5*k(v) - 3*t(v).\nAnswer: -v**3 + v**2 - 10*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*a - 552 = 22*a - 1980 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c + 95207 = 68*c - 4*a, 5*c = -2*a - 476089. What is c rounded to the nearest one hundred?\nAnswer: -95200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 166 = -r + 224, 2*r - 295 = -3*t. Let p = t - 94. Solve 0 = 5*c - 5, c + 1 = -p*h - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 21, 31, 41?\n\"Answer: 10*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5133594 is divided by 1468.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -251, -264, -277, -290, -303?\n\"Answer: -13*r - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 31*z**2 + 25*z - 61. Let u be t(32). Let w be ((-12)\/u)\/(10\/25). Which is the second smallest value? (a) 0.3 (b) 3\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 2:28 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h + 3. Let l be (-45)\/h*12\/15. Let s = l + -6. Solve j + j = s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(12)\/(1*sqrt(6)) + sqrt(2)) + (sqrt(28)\/(sqrt(4)*-1) - sqrt(42)\/(2*sqrt(6) - sqrt(6))))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27034, 54065, 81096, 108127, 135158, 162189?\nAnswer: 189220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -1112020?\nAnswer: 1112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 78 + 25*i + 15*i + 54 + 10*i.\nAnswer: 46*i - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**3 - n**4 - 2*n**3)*(0 - 4 + 6) - 5*n**4 - 670*n - n**4 + 656*n in the form q*n**3 + c*n**4 + g + t*n**2 + o*n and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*c = -34, -6 - 25 = -w - 5*c. Suppose -140 = -2*g - w*k + 3*k, -k + 70 = g. What is the remainder when g is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 2\/125 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 14. Let y(i) = -i**3 - 11*i**2 - 17*i + 18. Let o be y(-3). Put o, -5, 4, g in increasing order.\nAnswer: -5, o, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/123275883 or 0.1?\nAnswer: -5\/123275883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622845196 + 3*b**2 + 622845196.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -401\/6, -2, -3, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 3*w**2 - 11*w - 1. Let u = 99 + -103. What are the prime factors of d(u)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010110100111001 (base 2) to base 9\nAnswer: -236608","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -205. Let o(b) = -30*b + 10. Let x be o(5). Let j = x + c. Solve 20 = -j*n + 15*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -475200 divided by -55?\nAnswer: 8640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*2\/6*19. Let a be (118\/4)\/(-5*(-4)\/400). Suppose o - a = -2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 104\/20 - (3 + -5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 1270 - 1260 = -12*q. Solve -29*n + 6 = -q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 8*v + 9. Let b be r(-6). Let m be 276\/(-644) + -2*(-177)\/42. Sort m, b, -4.\nAnswer: -4, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 292 = 5*s. Let t be 4*(-4)\/88 + (-468)\/(-33). Calculate the highest common factor of t and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. What is the lowest common multiple of 12 and v(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (2 - 2 - (-3 - -8)) - -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100958.99 - -100959.09999887. Let y = 13 - 12.89. Let l = y - s. What is l rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - (-3)\/(-5). Let c = 1 - w. What is the tens digit of 1\/((-2)\/c)*-10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 106, 352, 832, 1624?\n\"Answer: 13*x**3 - x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:32 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511532287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-168)\/10)\/((-99)\/660) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*a = -3*k - 98*a - 246, -a = 2*k - 4*a - 123 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x + 5*z + 519 = 0, 0 = 2*x + 4*z - 528. Suppose 657 + x = m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-22 - -19) + 75 + -9?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 - 1217 = -5*p. Let d = -103 + p. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 5*o**2 - o**2 + 0*o**3 + 0*o**2 - 1 + o**3. Determine f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -29, 1 in increasing order.\nAnswer: -29, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (-10)\/((-70)\/21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 10*y**2 - 17*y + 18. What is a(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5*q + 3*q)*(-1 + 5 - 6) - 1 - 2*q + 1 + (0 + 2*q + 0)*(1 + 0 + 1) + 0*q + 3*q - 5*q + q + 3*q - 2*q + q - 2*q + 0*q + 68*q + 26*q - 15*q.\nAnswer: 78*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 6*k - 3. Let r be u(4). Calculate the greatest common factor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(10\/3)*z*z*z**(-1\/5))\/((((z*z*z**(-2\/11)*z)\/z)\/z)\/(z\/z**(-5)*z)))**(2\/43) assuming z is positive.\nAnswer: z**(3734\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -83604862 divided by 11?\nAnswer: -7600442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3*x + 3 + (-x - x + x)*(2 + 2 - 5) + 18*x - 48*x + 13*x)*(4 - x - 4) to y*x**2 + q*x + h and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhshjhuuhuhhujusjsu. What is prob of sequence jhsu?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 27*i**2 - 58*i + 26. Let v be y(-29). Suppose s = 4*r + v, -4*s - 2*r = s - 20. Solve f - s = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 3*l - 4. Suppose -3*n = -7*n - 16. Let t be p(n). Differentiate -3 + 27*f**2 - 1 - t*f**2 with respect to f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172235 divided by -24605.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*-91.4\nAnswer: -11.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 5 = o. Let h(x) = -5*x**2 + 2*x - 9. Let b(c) = -2*c**2 + c - 4. Let j(m) = 7*b(m) - 3*h(m). Let p(i) = -i**2 - 4*i + 4. Determine o*p(f) - 3*j(f).\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 1. Let j be f(2). Let z be (0\/(-2))\/(j*1). Sort z, -1, -4.\nAnswer: -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(144) + 2)**2.\nAnswer: 2*sqrt(3)\/3 + 49\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 32 = -3*o, 2146*o - i = 2151*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-20)*b)*b)\/(b\/(b\/(b*(b\/b**(-1\/32))\/b)))*(b*b**(-7))\/(b\/(b**19*b)) assuming b is positive.\nAnswer: b**(1055\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 481*g**2 - 4*g + g**3 - 485*g**2 - 3*g - 15. Let p be c(9). Let z = p + -131. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -31*h**3\/3 - 224. Let s(o) = -13*o**2. Calculate j(s(d)).\nAnswer: -5239*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 10, t: 3}. Give prob of picking 2 l and 1 f.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -4*z + z. Let x = z - 37. Let w be -4 - (x\/(-1) + 0). Solve i + 3*b - w = 0, -4*i + b - 24 = -9*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c + 1. Let x be v(-1). Is x\/2 + 5 + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k + 306. Let f be o(0). Suppose -298 = -4*b + f. What are the prime factors of b?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 11*t - 6. Let k be s(4). What is the highest common factor of 66 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -670*u**5 - 895*u**2.\nAnswer: -40200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*q - 10, 8 = 5*y - y + 5*q. Suppose 54 = 39*t + 15. Let l(p) = t + 2 - 2 - p**y + p + 0. What is l(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(10)\/sqrt(5)*4*-5 + -2*sqrt(200)*5 + 2)**2.\nAnswer: -160*sqrt(2) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 936*5.\nAnswer: 4680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)*y*y**(-1\/5)\/y*(y**(-1\/6)*y)\/(y\/(y*y*y\/(y*y**(-5\/4)*y))*y)*(y\/y**9)\/y*y**6*y*(y**(2\/13)\/y)\/y*(y*y**5*y)\/y assuming y is positive.\nAnswer: y**(-4651\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 696254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**2 + 23340900*d + 116704625 = 0?\nAnswer: -5, 4668185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*x**3 + 11*x**2 + 20*x**2 + 10*x**2 + 35*x**2 wrt x?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 44. Suppose -74 = -4*l - b, -l = -2*b + 4*b - 22. Let j = l - n. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14029270 and 302790.\nAnswer: 42087810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 + 31*d**2 - 47*d + d**3 + 411*d + 33*d**2 = 0. What is d?\nAnswer: -52, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23503 plus -0.3?\nAnswer: -0.06497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388 by 4.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 435916189 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*o**3*t**2 + 56*o**2*t - 1398*t**2 wrt o?\nAnswer: 39*o**2*t**2 + 112*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 2*p**2 + 0 + 7 to x + d*p + b*p**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-20)\/(-35))\/((-4)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 1940552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 12:47 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2, 2*s + 0*s - 33 = -n. Let c(g) = -g + 19. Let u be c(s). Solve -u*i + 5*i + 9 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*x - 52, -510*x + 5 = 9*g - 508*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + -1111100202200?\nAnswer: -1111100201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 1, q: 1, m: 2, h: 1, r: 1}. Give prob of picking 1 r and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-121) + (-1 - (-72)\/(-33)). Suppose 0*i + i + 6 = 0. What are the prime factors of (w - 219\/i)*2?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 + 2070*c**4 - 349090*c**3 + 687840*c**2 + 349091*c - 689910 = 0. What is c?\nAnswer: -1, 1, 2, 183, 1885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or -98?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*(y*y**14)\/y)\/(y\/(y\/(y\/(y\/y**(-1)))))**(-41) assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30132*k = -30166*k - 884. Is -654\/25 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r*r\/(r\/r**(-7))*r)\/r)\/((r*r**14)\/r))\/(r**(-8)*r\/(r\/((r\/((r*r**14)\/r))\/r*r))) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44 + -1360.\nAnswer: -1360.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddjj when four letters picked without replacement from {d: 8, j: 3}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*i + 297*i**3 - 240*i.\nAnswer: 297*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13.5816 times -5\nAnswer: -67.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o - 3. Let m(p) = p. Let n(t) = 3*m(t) - s(t). Let c(v) = 5*v**2 + v + 1. Let g be c(-1). Let q = g + -4. Let j(h) = -h + 1. Give q*j(w) - n(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509450?\nAnswer: 2, 5, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 57*v + 714. Give r(70).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215 + 213. Let j = 0 - 1. What is the nearest to j in 0.3, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/3 - 5*k**2\/2 - 5*k + 2. Let t be 160\/25 + (-2)\/5. Let s be g(t). Put 5, s, -3 in descending order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/4 + -4 - (-37)\/(481\/(-26))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7*h - 3*h + 2049 = 0, 4*h = -4*g + 1632. Find the common denominator of (-10 + 505\/50)*49 and (-4)\/18 - g\/(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 159?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -607?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32798 rounded to 3 decimal places?\nAnswer: -0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 321*y**2 - 198*y = 0.\nAnswer: 0, 66\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-5 + 19)\/(2\/(0 + 78)) and 3.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-75 + -1)*(-17 + (-105)\/(-10)) is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84.2 and 83874.\nAnswer: -7062190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -12 + 25 - ((-3 - -1) + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/46*-5*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 974 - g**3 + 36 + 979 to d*g**3 + z*g + n*g**2 + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6)\/g*g)\/g*g**(-18)*g**(-2\/7)\/(g\/(g\/(g\/g**(2\/9))*g)) assuming g is positive.\nAnswer: g**(-1516\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 139335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 - 4*l - 1. What is k(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 34, -1, 7 in decreasing order.\nAnswer: 34, 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 10. Let q(o) = o**3 + 2*o**2 - o - 2. Let n be q(-2). What are the prime factors of f(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2 - 7*l - 2. Let g be q(-5). Let m = g - 3. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-2123.\nAnswer: 636.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 32363*d**2. Let s(k) = -536*k. Calculate b(s(r)).\nAnswer: 9297760448*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*m. Suppose 2*h + 3*i = 5, m = -h - i - i + 5. Let c(a) = 5*a**3 + 102*a**2 - 61*a + 48. Let t be c(-21). Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64*(27 - (-351)\/(-12))\/33.\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 5. Calculate the common denominator of p(6) and -10\/19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(1395\/(-18600))*2*3\/(-250)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - 2*r**2 - 2*r + 2. Let z = -345 - -345. Let c be n(z). Sort -14, c, 0 in decreasing order.\nAnswer: c, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4086 divided by -1\nAnswer: 4086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73712126 to the nearest integer?\nAnswer: 8586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 401000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + m - 8*m)*(271 - 162 + 2*m - 156) to the form g + x*m**2 + t*m and give t.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/60 - y**4\/24 - y**3\/3 - 66*y**2 - y. Suppose -6*j = -4*j - 4. Calculate h(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8399 and 53206?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16511351 to the nearest 10000.\nAnswer: -16510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q - 1\/2*q**4 + 0*q**2 + q**3 - 27. Find the third derivative of h(u) wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 311 + 464 = 1004 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.63148ml in litres?\nAnswer: 0.06263148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 2*m + 77\/5*m**5 - 5*m**3 + 0*m**4 + 0*m**2 - 111. Find the third derivative of n(s) wrt s.\nAnswer: 1848*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145838053 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2911440 and 168000?\nAnswer: 291144000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 11:48 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22225490.\nAnswer: 2, 5, 7, 383, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = -c, 3*b + 0*c = -4*c + 22. Determine a so that 2*a**5 + b*a**3 - 4*a**2 - a**2 - 4*a**3 + 2*a**4 + 3*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 597*c**2. Let h(i) be the first derivative of -5*i**2\/2 - 368. Give h(j(w)).\nAnswer: -2985*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 6*j + 3*z - 26, 4*j - 28 = -5*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + 3*k + 67853. Is s(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 take away 57895985.621?\nAnswer: -57895985.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -267*a - 1060. Give c(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -1 + 0 - ((-87 - -94) + -10)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9906 - 5*v + 11*v + 9903 + 4*v + 9917 - 29726.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 556 = -2*k, u + k - 149 = 33. What is u rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 13*o + 15. Let n be a(-12). Suppose 2*v - n = 161. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 7. Let a(p) = -26*p - 5. Let i(n) = -6*n - 2. Let s(g) = -2*a(g) + 9*i(g). Give -5*b(h) - 4*s(h).\nAnswer: -7*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105749831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2820?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93719.91 nanograms in tonnes?\nAnswer: 0.00000000009371991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c + 4*b + 3, -c - 10 = 4*b. Let h(x) = x**2 + x**2 + 6*x**2 - 2*x**c. Let w(y) = y**2. Calculate h(w(r)).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 773 + -734. Suppose 35*p = s*p - 1896. Does 37 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11341 (base 8) in base 7?\nAnswer: 20043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*-2*(-21)\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 30838.8 centimeters?\nAnswer: 0.308388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*m - 7, 0 = i + m - 2*m + 7. Let p(g) = -g**2 - 5*g - 4. Determine p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k - 9. Let w be r(6). Let h = -53 - w. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2622 is divided by 375?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 r when three letters picked without replacement from {r: 4, p: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 25159*p - 63606*p + 38447*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71592 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-16)\/(-9))\/2)\/((-76)\/(-874)). Which is smaller: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 5*o + 8. Let s be q(-4). Suppose u + 12423713 = -5*y + 37173717, s*y = -2*u + 19800008. What is y rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 6*b - 2. Let c be k(7). Suppose 460 - 40 = c*h. Suppose -14*t + 54 = 4*t - 198. Calculate the highest common factor of h and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.7897826 to one decimal place.\nAnswer: -86.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36)\/(sqrt(10)\/sqrt(5)))\/(sqrt(90)\/sqrt(40)) - (2 + (2 + 0 + sqrt(288) + sqrt(288) - sqrt(288)))) + 2)**2.\nAnswer: 40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*(sqrt(425) + 0) - (sqrt(425) + 1 + -1)) + 3*(1 + sqrt(425) + -1))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q + 5. Suppose 11 = 3*k + u, -3*k - u = 2*k - 15. Let y(t) = -3*t + 1. Calculate k*h(r) - 9*y(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1092 by 26.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -0.5. Let r = l - -0.8. Sort 0.9, -4, r in increasing order.\nAnswer: -4, r, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 + 5*a**2 + a**2)*(7 + 34*a**2 - 68*a**2 + 31*a**2).\nAnswer: -36*a**4 + 84*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7 plus -1.33?\nAnswer: 7.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, q: 4}. Give prob of sequence qqaa.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 5. Determine y(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 2, b: 3, w: 7}. What is prob of picking 1 b and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3 + 45. Suppose r - f = -6. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/((-555)\/19310355)*(-2)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 divided by -742\nAnswer: -61\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/(-3)*(-23)\/(-138) and (-74)\/30 - (-13 + 6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 116577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1176 and 8472?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18522145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*n**5*z**2 - 62*n**4*z**2 + n*z**2 + 4278*n + z**2 wrt n?\nAnswer: 300*n**3*z**2 - 744*n**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 10*m - 17. Calculate the remainder when p(-8) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2. Let u be (1 - 0)\/(3\/15). Suppose u*g + 0*g = 0. Let w be c(g). Solve w = -4*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*1\/2*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 95 - 11*s)*(1044*s**4 - 2310 + 2310).\nAnswer: -11484*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 9) to base 5\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 22149*s**3 + 7 - 1 - 22068*s**3 in the form d*s + n*s**2 + j*s**3 + o and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1859, -1594, -873, 532, 2849?\nAnswer: 6306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 + 10 + -6 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (6 - 19) - 2) + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.8 or -240?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11827 - 2429. List the prime factors of l.\nAnswer: 2, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1074*o**4 - 1072*o**4 + 2088*o**4 - o**4 - 4*o**4 + 9*o**4 + (3*o - 2*o**2 - 3*o)*(3*o**2 - 4*o**2 + 3*o**2) + 3*o**4 - o**4 - o**4.\nAnswer: -57*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) + sqrt(36) + sqrt(36) + sqrt(2304)) + 4 + 0 + -3*sqrt(28)\/sqrt(4) + -5.\nAnswer: -92*sqrt(7)\/31 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -586500 divided by 340\nAnswer: -1725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7 - 6) + 13 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1109 = -34*b + y + 1379, 2*b - 21 = -5*y for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:43 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -57\/2. Let d = 338.11 - 338.41. Which is the nearest to 1\/4? (a) -2 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -41*u + 45. Determine o(-4).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 140000\/(-3*3\/(-900)). Round i to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -128, -292, -522?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(117)*2 - sqrt(117)) - sqrt(117))*6)**2 + (sqrt(104)*-2*3 + sqrt(104))\/(sqrt(8) + 1*sqrt(72) + sqrt(8)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 2 - 4*u**2 + 3*u**2 + 5*u + 5. Let v(x) = -x + 1. Let m be v(4). Give p(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 94303 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 20*t**2 + 85*t - 70. Let x be d(-8). Solve -38 + 23 = 5*c, -2*c = -4*j + x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -5 - 3) + 15\/((-145365)\/(-9692)). Is 0 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-6 - (-5 + -1)) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - 3*r = -9, 2*y + 3*r = 27. Suppose -5*f = -y*f + 13. Let w(d) = d - 13. Let l be w(f). Solve -2*p + 3*p + 3*k - 11 = l, 0 = -2*k + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 25*h + 65. Determine k(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, u: 3}. Give prob of sequence rr.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-198)\/(-77))\/(6\/(-7) - -1). What is the third derivative of 17*g**4 + n*g**3 - 38*g**3 + 20*g**3 - 18*g**2 wrt g?\nAnswer: 408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12078 divided by 6039\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 198*z**2 + 7892*z + 291. Determine i(-40).\nAnswer: 1411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*x + 212 - 212)*(0 + 4*x + 0).\nAnswer: -156*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 372*v + 140 - 139 + 49*v + (-2 - 3 + 7)*(-v + v + v) + 2*v + 1 - 1 + 0 + v + 0 + 0*v + 0*v + v to j*v + r and give j.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6 + 50 + 36 - 70*o + 52. Is m(-23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192973353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 61. Let s(p) = -p**3 - 22*p**2 - 3*p + 30. Does 9 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/188*(-2)\/((-1)\/(-38)*28\/(-7)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 6*k**4\/7 + 132*k**3\/7 + 90*k**2\/7 - 108*k = 0.\nAnswer: -21, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-12)\/(-3) - 3). Suppose h = 4*k - 5 - 7. Suppose -5*f - 13 = u, -u - k*f + f = 1. Solve -5*x = 0, -2*s - 4*x = -u*x - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 8*i**3 - 2*i**2 - 12*i**2.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m**2. Let n(c) = 13*c**2 - 5*c - 5. Let l(o) = 6*o**2 - 2*o - 2. Let j(a) = -5*l(a) + 2*n(a). Give q(j(z)).\nAnswer: 256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.0426 - -9011.9574. Let x = r - 9016.671. Let f = 3.8 + x. Round f to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 8, n: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 9180760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 13*g + 5. Determine u(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/8*29*(-144)\/(-17226).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 884779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i*i**21\/i*i)\/i*i)\/i)\/i*i**(-8\/7))\/(i\/i**(-2\/7)*i\/(i*i**(1\/2)\/i)))**9 assuming i is positive.\nAnswer: i**(2277\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8 - 2.4. Which is the second smallest value? (a) -1 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -8*o + 3*o + 3480, -3*g = 5*o + 2610. Let s = g - -1669\/2. Find the common denominator of s and 19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*j - 7*j + 6*j - 2 - j**2 as f*j**2 + v*j + p and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -1430?\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1066.615 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 68999*u - 137986. Determine s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -117 + 45*i**2 + 122 + 11*i**2 + 7*i**2. Let t(b) = 31*b**2 + 2. Calculate -2*g(s) + 5*t(s).\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125517 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-40)\/(-18) + 14\/(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20783, -83178, -187167, -332738, -519879, -748578?\n\"Answer: 2*p**3 - 20809*p**2 + 18*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 - 5344255?\nAnswer: -5344401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -74. Is 15\/3*(-39085)\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 5*c**7\/21 + 43*c**6\/15 - 183*c**5\/10 + 241*c**4\/6 - 130*c**3\/3 + 24*c**2 - 125*c - 2. Let f(k) = 0. What is k?\nAnswer: -12, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 150000 = -3*w. Round w to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/15 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3673890072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 12*w + 2*m = -29534, 2*m + 12 = 0. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(243))**2 - sqrt(243)) + sqrt(243)*-1*5 + 5.\nAnswer: -198*sqrt(3) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 7*c**2 - 6*c + 2. Calculate h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 644, 3114, 7142, 12722, 19848?\n\"Answer: -y**3 + 785*y**2 + 122*y - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6 - 9\/2. Let y(k) = k**3 + 4*k**2 - 5*k. Let t be y(g). Suppose t*f - 9 = -3*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 9*a**2 + 9*a. Let z be f(-8). What is the units digit of z\/(-3)*3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 2. Let b be j(2). Let z be 0 + 2\/4*10. Suppose -z*w + 1 + 19 = 0. Solve 5*q - 4*n - 26 = b, 0 = -w*q + 2*n + 3*n + 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 7:02 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, k: 2, l: 6}. Give prob of sequence pl.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 + 5050826*n\/5.\nAnswer: 2*n*(n + 2525413)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*j = -50, -3*b = -5*j + 2*j - 57. Let u be -2*(b\/(-6) - -1). Let l(p) = -262*p + 263*p - 2 - 1. What is l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -22*k + 64. Let w be c(3). Which is smaller: w or -45\/59?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2517 and 4?\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -106, -108, -110, -112, -114?\n\"Answer: -2*l - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-3)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 7)\/((-1)\/5)*-1 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (21 + 37)) + 2 - (19 + -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 8*b + 2*b - 19)*(-2*b + b**2 + 2*b).\nAnswer: -6*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993847821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.36614027 rounded to 3 decimal places?\nAnswer: -2.366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*d + 1763 = -707 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1299 and 3.\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 479, 718, 957, 1196?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-198)\/21)\/(-3). What is the nearest to 4 in o, -4, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 48 = -11*j. Solve j*x - 20 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 26 = 8*q - 13*q, 0 = 3*k - 3*q - 6. Suppose 534 = 5*g - 6. Suppose 0 = k*i - g + 48. What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 1 = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 - (23 + -31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 18*l + 24.\nAnswer: 3*(l + 2)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:03 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1286304644.\nAnswer: -1286304644.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131146948.\nAnswer: 2, 239, 137183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/5 - 84*b**3\/5 + 432*b**2\/5 - 816*b\/5 + 528\/5.\nAnswer: 3*(b - 22)*(b - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, c: 1, a: 3, o: 4, t: 2, l: 1}. What is prob of sequence tlot?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2586 divided by 1293.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Suppose -j + 1 = -4*n - 12, q*j = 5*n + 19. Calculate the smallest common multiple of j and (5\/10)\/((-1)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13565576*c**3 + 15948656 wrt c.\nAnswer: -40696728*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -72*v. Let q(u) = 193*u. Let h(f) = 3*q(f) + 8*t(f). Let x(s) = -225*s. Give x(h(n)).\nAnswer: -675*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 61*t**2 + 1 - 1399*t**3 - 120*t**2 + 59*t**2 to the form o*t + i*t**3 + b*t**2 + s and give i.\nAnswer: -1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 34877.3\nAnswer: -34876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/2)\/o*o**2)\/((o**1\/o)\/o*o*(o\/(o*o**3*o))\/o))**(-1\/15) assuming o is positive.\nAnswer: 1\/sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4144 - -2?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3094 is divided by 777.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-2)\/195*-3. Let k(v) be the second derivative of -v**4\/12 - 4*v**3\/3 - 7*v**2\/2 - 2*v. Let r be k(-7). Which is greater: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 148 = x, -c - x = -2*x + 32. Let g = 80 - c. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:47 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/108)\/(1\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d**3 + 43731087*d**2 - 59349270*d + 15618225 = 0.\nAnswer: 5\/14, 1, 1041215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270685845.\nAnswer: 5, 11, 13, 227, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.760160937 to three dps.\nAnswer: -7.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -243a - -23?\nAnswer: -2417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/17, 0.4, -0.2, 141?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u**2 + 17*u - 29. Let q(d) = -7*d**2 - 8*d + 14. Suppose -i - 2*x = 21, 4*i = x + x - 44. Determine i*q(g) - 6*t(g).\nAnswer: g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383*(-1)\/6*(-1 - (4 + 1)) is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28683 or -28681?\nAnswer: -28681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72.0031 - 72. Round l to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -758, -1699, -3016, -4709?\nAnswer: -6778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1225?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2413, -4834, -7265, -9712, -12181, -14678, -17209, -19780?\nAnswer: -22397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 25034*b**2 + 10*b - 7 - 5*b - 25039*b**2. Let f(y) = -1 - 58*y**2 + 0 + 57*y**2 + y. Determine -6*f(m) + s(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4582 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 1. Let m(u) = -192*u - 4. What is -m(j) + 5*t(j)?\nAnswer: 187*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*t + 70 = q + 191*t, 0 = 2*q + 4*t - 74. Suppose 4*w + 5*r = 0, 0 = w - 3*w - 5*r. Solve w = -4*a - a - q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3) + 1) - sqrt(9)\/(4*sqrt(3)))**2 + 1.\nAnswer: 5*sqrt(3)\/2 + 107\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5 - 50*l**4 - 70*l**3 + 140*l**2 + 265*l + 110 = 0.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104\/5 in 3, -4, 0.8, 7, 4, -1.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3771 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1527700747 to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19380 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4001 (b) 0.18 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 7*k - 8. Let t = -48 + 44. Let q be b(t). Suppose -5*h = 2*o - 57, q*o = 5*h + 48 + 21. 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: Round 0.0011539 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 + 52*y - 499. Is x(46) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000097514181 to 7 decimal places.\nAnswer: 0.0000975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 16*t**2 + 13*t + 2. Calculate x(-17).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(15*k - 15*k + 7*k**2) + (4 - 3 - 2)*(44*k + 17*k**2 - 44*k) - 2*k**2 - 3*k**2 + 6*k**2 in the form x*k + s + h*k**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 2*i**4\/3 + 19*i**3\/3 + i**2 + 6. Let w be l(-2). Let j(s) = -3*s + 1. Let c be j(1). Put c, -5, w in ascending order.\nAnswer: -5, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htucj. What is prob of sequence jc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from tyacgtt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -24. Suppose 8 = -o*d + 11. Let x(f) = -2*f**2 - f - 1. Let i(t) = -t. Calculate d*x(c) - 3*i(c).\nAnswer: -2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -0.05. Let s = q + -0.27. Let n = -97 - -102. Which is the biggest value? (a) s (b) 7\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, t: 1, c: 10}. Give prob of picking 2 j.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*j - 1466 - 1278 = 0. Solve j*t - 246 = -74*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 696272.\nAnswer: -23\/348136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 65\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*d - 50 = 0, 0*w - 4*d + 67 = 5*w. Let v be w\/(1 - (1 + 1)). Let x(i) = -i + 4. Is x(v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/8)\/k)\/k**(-33)*k**(-3\/4)*k**(-24) assuming k is positive.\nAnswer: k**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 132 + 140. Suppose 51*x - n = 188. Solve 0 = 4*r + 8, 0 = -h + x*h - 2*r - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6933, 7068, 7381, 7944, 8829?\nAnswer: 10108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 1. Let n(h) = 4*h - 5. Determine n(f) + 5*y(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6531*c + 10. Determine k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2552 and 45\/6248.\nAnswer: 181192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:55 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 147\/10 - (-45)\/150. Let r be o\/(-30) + 1708\/3448. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 2. Let i be d(3). Let x = i - 3. What is the highest common factor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107622 is divided by 1511?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*h**3 + 76*h**3 - 8*h**3 + 15 as s*h**3 + k + d*h + u*h**2 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -77. Let g = -86 - -111. What is the second derivative of -8*i - g + t - 4*i**4 wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c. Let h = 11 + -13. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*w + 41 + 61, -w + 34 = -2*b. Suppose -2*a + a + w = 0. Let v(d) = 20*d**3 - 7*d - a*d**3 + 6*d**2 - 8 + 15*d**3. Determine v(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 8:36 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) - (3 + 132\/(-10)). Let g be q\/(-15)*54\/(-4). Is g > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 280100149\nAnswer: 3\/280100149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69166 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 25799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/129 and -76\/279.\nAnswer: 11997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-55) + (-28)\/(-154). What is the third biggest value in -1\/6, r, 0.5, -3\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119204 divided by -3506\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 522347 and 141?\nAnswer: 73650927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176.4 + -176. Let c = 5 - 4.97. Let h = 5.07 + -8.07. What is the closest to c in -0.5, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4162)\/(-4))\/((87\/(-6))\/(-29)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 638, 1273, 1908, 2543?\nAnswer: 3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 198\/227 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:49 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -229420*i**4*v - 21*i**3*v - 10416637*v wrt i.\nAnswer: -917680*i**3*v - 63*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 1563924?\nAnswer: 1563924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**5\/5 + 4*q**2 + 9*q. Differentiate n(j) wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76636*d**3 - 2*d**2 - 77191*d**3 - 2*d + d**2)*(-4*d**2 + 0*d**2 + d**2).\nAnswer: 1665*d**5 + 3*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2484*w + 1000801 - 1000801)*(3*w + 0*w + 0*w).\nAnswer: -7452*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490977.\nAnswer: 3, 17, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26186 and 4.\nAnswer: 104744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107131.\nAnswer: 149, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 765*p**2 + 1165*p**2 + 152*p**2 - 120*p**2 in the form r + v*p**2 + g*p and give v.\nAnswer: 1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.3, -2, -1893, -1\/13, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -34. Let x be -2 - (-3 + k + -3*1). Sort -4, 3, 1, x in ascending order.\nAnswer: -4, x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19030 divided by 246\nAnswer: -9515\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2653 or 1182?\nAnswer: 1182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j. Let d(u) = 80*u**2. Give d(m(i)).\nAnswer: 1280*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -962\/305, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 135. Let u be -467 - (-9)\/(d\/10). Let x be (-3 + u\/(-6))*(-1 + 3). What is x rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 141 (b) 2\/3 (c) -1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -46.55.\nAnswer: 9.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/20949?\nAnswer: 4\/20949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 149977494 to the power of 1\/3, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p + 20, 0 = 5*w + 4*p + 20. Solve 0 = d - w + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(63\/6) + 2541\/539. Let t(x) = -2*x - 6. Let k(m) = -m - 6. Let u(a) = -3*k(a) + 2*t(a). Let h be u(o). Solve 5*y = v - 9, 3*y + 5*v + 10 = -h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -8*t**3\/3 - 4*t - 31. Let s(c) = -8*c**2 - 3. Let z(d) = -4*s(d) + 3*w(d). Let i(x) = -x. What is i(z(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -405b1 (base 14) to base 9\nAnswer: -255308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5 + 136*q**4 + 3942*q**3 - 192780*q**2 - 12086847*q - 167140260 = 0. Calculate q.\nAnswer: -51, -28, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:21 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 460 - 463. Let p(z) = -16*z**2 - 3*z + 3. Let s(u) = -208*u**2 - 40*u + 40. Give y*s(w) + 40*p(w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:35 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 5. Suppose -r = -2*p + p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -293.827503 to two dps.\nAnswer: -293.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 40*l + 15. Let n be a(20). What is the greatest common divisor of 60 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -484, -483, -482, -481, -480?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5\/9 - 616*j**4\/9 - 12832*j**3\/9 + 1895296*j**2\/9 + 88632832*j\/9 + 583585792\/9 = 0. What is j?\nAnswer: -68, -8, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 8*s + 9. Let t be i(-7). Let l(g) = -2*g**2 + 2*g + 4. Let r be l(2). Solve -6 = -r*k - t*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -3*x - 2*f, x + 2*x - 4*f + 101 = 0. Let c = 69 + x. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 565*r - 2259. Let w be l(4). Solve -2*p - 2*c = -5 - 5, -4*c = -3*p + w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.1 + 4. Let r = -6.2 + 6.2. Let v = -0.04 - -0.14. Which is the nearest to v? (a) r (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 1:35 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(2*c**4 + c**3 - c**3 + (-32*c**2 - 13*c**2 + 13*c**2)*(-2*c**2 - 13*c + 13*c)).\nAnswer: 132*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1803*m - 39674. Determine s(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/34)\/(5934\/16813)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-1\/24)\/j))*j**35*j)\/(j**19*j**19) assuming j is positive.\nAnswer: j**(-73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 736 and 64.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 8*a**2 + 7*a + 4. Give g(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19551, -1, -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 1516*m - 1516*m + 0 + 0.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/23)\/(-4 - -2). Let n = 25 - 25.2. Which is the third biggest value? (a) 3 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102711*b**3*i**3 - 2*b**3 - 1070*i**5 - 508*i**2 - 4970*i wrt i?\nAnswer: 616266*b**3 - 64200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -0.06, 3\/7, 201 in increasing order.\nAnswer: -0.06, -0.05, 3\/7, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633133 by -2.\nAnswer: -633133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6.58740977 - -172\nAnswer: 178.58740977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2170.1979 months?\nAnswer: 1.80849825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4197, 1\/3, 9, -483, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299 + -44. Let s = 7412 + u. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 22413867?\nAnswer: 22413867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - (0 + -3)) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*t + 703*t = -47019 + 5590 + 2958 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.034162 rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(r - 4*r - 4*r) + 4*r + 0*r - 2*r - r + 4 - 4 + (-2 + 4 + 0)*(3*r - r - r) + r - r + r - r - r + r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8*(-2)\/4)\/(-2). Let o = l - -4. Let g be (-128)\/(-56) - o\/21. Solve 2*t = 6*t + 5*r - 23, -g*t = 5*r - 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:38 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026103 rounded to six dps?\nAnswer: 0.000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.6. Let w = -0.05 + n. Let u = 0.05 - w. Which is the closest to 0? (a) 0.3 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/11, -1\/2, -60?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*w**2 + 0*w**4 - 72*w**2 - 3*w**3 + 2*w**4.\nAnswer: w**2*(w - 2)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 303288675*c**2 + 4599200564229735*c + 13797604422287415.\nAnswer: 5*(c - 30328869)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l**2 - 8*l + 11. Let h be b(-5). Let z = -57 - h. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -2*a**2 - 2*a + 2. Let m(t) = 5*t + 2. Determine -3*m(n) - 4*w(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1011*l**2 + 1184*l**2 - 1867*l**2 as b*l**2 + j*l + d and give b.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/31)\/(f*(f\/(f*f\/f**(-6\/17)*f))\/f) assuming f is positive.\nAnswer: f**(1274\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 34. Let o = -7 + b. Let k = -11.9999 + o. What is k rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 620502.8 millennia?\nAnswer: 620502800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 32*g + 2. Let l(p) = -31*p**2 - 1. What is d(l(t))?\nAnswer: -992*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 2 d when four letters picked without replacement from drrqrrrrrrrdrorojr.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25282?\nAnswer: 2, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + t - 24, p + 2*t - 136 = 61 - 134 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - 4*g**2 + 6*g**2 - g**2 - 5*g - 4*g**2 + 6*g + (4*g - 3*g + g)*(-3 + 3 - 8*g).\nAnswer: -19*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305184 divided by -12.\nAnswer: 25432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 3*b**2 + b + 4. Let t be f(3). Let r(a) = 16 - 26 - 20*a - a**2 + 2*a**2 + 15*a. Let d be r(t). Sort -1, 0, d, -4 in decreasing order.\nAnswer: d, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 266, 947, 2276, 4469?\nAnswer: 7742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1573, -3145, -4719, -6295, -7873?\nAnswer: -9453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*175\/125*2\/2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-5)\/6 - -1). Let v = -5 - -8. Let h be l\/9*v\/2. Solve -10 = -h*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {q: 9, p: 1, l: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*n - 9, 2*m + 7*n - 2*n = 31 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37721\/198 + -1742\/9. Find the common denominator of t and -9 - 728\/(-70) - (-718)\/(-320).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -18 - 0. Let n = 6 - i. Let p = -1 - n. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*r + 18, -2*z + 5*r + 15 = 37 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -8 + 0\/(-2). Is (-6)\/(1 - g) + 2318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccdcczudcr. What is prob of picking 1 c, 1 u, and 1 z?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 1 = 127. Suppose 0 = -x - s + 24. What is the greatest common divisor of x and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g - 2*g)*(-5*g**4 - 4*g**4 + 2*g**4) + 11*g**5 - 13*g**5 + 33*g**5.\nAnswer: 38*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4 - 4)*(-130 - 119 + 225).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -6, 2\/243 in decreasing order.\nAnswer: 0.2, 2\/243, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 + -40624943074.\nAnswer: -40624942900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)*f\/f**(-8))\/((f*f**0*f)\/f**(-10)))**(-3\/5))**(-9\/11) assuming f is positive.\nAnswer: f**(-108\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = -f, 0 = -2*f - 4*w - 23 - 3. Let o = -17 - f. Is o - -5 - (3 + -89) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*d + 212*d - k = 7, 28 = -3*d + 2*k for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -45, -67, -93?\n\"Answer: -2*h**2 - 12*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 937 - -52. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c. Suppose 3*y - 8*y = c. Solve -5*t = 2*v - y*v + 9, -3*v - 7 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - 42 - (3 + 2 + -15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 352*a\/3 - 118.\nAnswer: 2*(a - 177)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3 + 120*h**2 + 2400*h + 16000 = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -43. Let y be (-13 - -19) + 1 + a. Suppose 18 = 2*z - 32. Solve 0*c + 3*i + 5 = 4*c, -y*c - i = -z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.65602 and 0.58.\nAnswer: -3.8604916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Let s = 6 - u. Suppose -s*p + 26 = 2*f, 3*p - 15 = -3*f - 3. What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 7*i + 105. Calculate the remainder when 67 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*r + 8 = n, -2*n - 8 = 3382*r - 3376*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51970 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i**2 + 5*i**2 + 7*i**2 - 9*i**2)*(-16*i**2 + 6*i**2 + 5*i**2) - i**4 + 8*i**4 - 2*i**4 + (0*i + 0*i + 2*i**2)*(-2 + 2 - 2*i**2).\nAnswer: -49*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*3\/(54\/(-48)). What is the greatest common factor of o and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 894 + 40676. Let g = a - 457167\/22. What is the common denominator of g and ((-430)\/15 + 5)\/(12\/2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 32 - 27 + 62)*(w - 8 - 5 + 20).\nAnswer: -4*w**2 - 25*w + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 14}. What is prob of sequence bbbd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/11))\/(s**(-5\/7)*s) assuming s is positive.\nAnswer: s**(76\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -2*n - 1\/12*n**4 - 1\/2*n**2 + n**3 + 0. Let r be d(5). Solve b = -3*a + 5, -4*b + r = 3*a - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91616085?\nAnswer: 3, 5, 11, 59, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 219?\nAnswer: 87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927196 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22230876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i + 19. Let u be v(4). Suppose 490 = 5*h + 5*p, -p = -4*h + u*p + 432. Let z = h + -33. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + -3*(-1 + sqrt(108)))**2 + (sqrt(384)\/sqrt(8) - sqrt(3) - sqrt(1458)\/sqrt(6))**2.\nAnswer: -216*sqrt(3) + 1114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10434281 to 4 decimal places.\nAnswer: -0.1043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 3 (c) 1 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10911 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 - 14536*r**2 + 333170*r + 724500 = 0. Calculate r.\nAnswer: -2, 25, 7245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 215*z**4 - 35*z + 66099.\nAnswer: 860*z**3 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 912.97842 to the nearest 10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1184 and 6808.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19944*h + 219394. Give p(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115, 226, 411, 670, 1003, 1410?\n\"Answer: 37*y**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - j - 17973 = 0, -h - 5*j + 3603 = -j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(99))**2 - ((0 + sqrt(396) + sqrt(396))**2 + 5).\nAnswer: 1975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g + 1. Let q(h) = -95*h**2 + 2*h + 2. Determine -q(v) + 2*t(v).\nAnswer: 93*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 533214018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5699865 divided by 5\nAnswer: 1139973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*w - 95 = -119, 4*w = 3*p - 48 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 2*w**2 + w - 1. Let d(j) = j**2 - j - 1. Let z(h) = -4*d(h) - n(h). Let s be z(-2). Let o(b) = -b. Let x be o(s). Solve -a + x = 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 34, -66, -0.3, -0.012 in decreasing order.\nAnswer: 34, -0.012, -0.3, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 2.52 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**2*o*o)\/o)\/(o\/(o**(2\/9)\/o))*(o*o**1)\/(o*((o\/((o\/o**(-7))\/o))\/o)\/o))**(1\/2) assuming o is positive.\nAnswer: o**(101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**3 + w**3 + 0*w**3)*(-362 - 14*w + 326 + 220) to f*w + y*w**2 + l*w**4 + u + a*w**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 55 and 50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 26 (b) 2\/23 (c) -0.4 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/4 - 3\/(-6). Suppose -3*p = -d*x - 6, x = 4*x + 5*p - 10. Let b = 1 - -2. Solve x*y = b*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(23\/((-828)\/(-15))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -2*c**3\/3 + c**2\/2 + c. Let k be w(-1). Let g(f) = -k*f**2 + 0*f**2 + 0*f**2. Let b(s) = -2*s. Give g(b(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -1 + (-3 - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42143*p**3 + 116240 wrt p.\nAnswer: -126429*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 131*t + 46. Let j(h) = 146*h + 47. Let q(p) = -5*d(p) + 6*j(p). Let c(g) = -13*g - 3. Determine 52*c(x) + 3*q(x).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10425475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}