diff --git "a/data/dm_maths/full_data_1/1537_11255.jsonl" "b/data/dm_maths/full_data_1/1537_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1537_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i(m) = -m**3 - 16*m**2 + 18*m - 9. Give i(-17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*q**3 - 1625*q - 61*q**3 - 43*q**3 in the form j*q + c*q**2 + l*q**3 + z and give j.\nAnswer: -1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/7 - 1444*v\/7 + 10011 = 0.\nAnswer: -1491, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and ((-3)\/6)\/(-2*(-2)\/(-24))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-27)*j*j*j**(-2\/5))**(-1\/12) assuming j is positive.\nAnswer: j**(127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o - 1. Let r(w) = w + 1. Let m(v) = 8*v - 41. Let d be m(5). What is d*f(j) - 3*r(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 - 92*a**3 + 760*a**2 + 1856*a.\nAnswer: -4*a*(a - 8)*(a + 2)*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**(-3\/8)*q)\/q)\/(q*q**6))\/(q\/(q*q\/(q**(1\/2)*q*q*q*q*q))*q*q*q**(-1\/4)))**(-14))**(6\/7) assuming q is positive.\nAnswer: q**(327\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 - 114) + (0 - 15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -99 (b) 2\/21 (c) -0.1 (d) -0.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*c*y + 584*c + y wrt y.\nAnswer: -19*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1291379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604130?\nAnswer: 2, 5, 60413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k**3 + 2140563*k**2 - 37462100*k.\nAnswer: 54*k + 4281126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202389 is divided by 348?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 705689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 20 = -0*i, -9 = t + 3*i + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 64 = 22*p. Is (-6)\/p - (-68926)\/176 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {h: 2, k: 1, t: 2, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170868?\nAnswer: 2, 3, 29, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + i**2 + 4*i + 2. What is g(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - b = 442, b = -5*t - 97 + 839. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 9:01 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5416922c + -4?\nAnswer: 54169228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45.5 in 3\/2, -0.4, 25, 1\/6, -7?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 2*s - 6434, 5*o + 4*s = 32114. Suppose -10*w + o = 7*w. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and -365252.\nAnswer: -365250.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*g - 44070 = -612*g - 1377*g for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 68*p**3 + p**2 - p + 1. Let a be (20\/(-50))\/(4\/(-10)). What are the prime factors of r(a)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -59, -53, -45, -35, -23?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75803, -303519, -683041, -1214363, -1897479, -2732383, -3719069, -4857531?\nAnswer: -6147763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 696764 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121070 + -121069.95. Let n = -1\/47 + -45\/94. Which is the nearest to n? (a) 1 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -49, -55, -43, -7, 59, 161?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 + 3*h + 6. List the prime factors of p(5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 2*p**2 + 4*p + 1. Let g be u(-1). Let a = g - -117. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 0. Let w be u\/(-4) - 2\/(-4). Solve -3*h = -2*j + 21, 4*h = 6*h - w*j + 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3924349 = 2*j - 3*q, 0 = 8*j - 9*j + q + 1962176. Let c = j + -1118175. Suppose 4 = -2*s, s - c = -4*l + 3*s. What is l rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 536841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 2 m when four letters picked without replacement from {a: 1, v: 7, l: 2, i: 3, m: 4}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*k + 142*k + 49*k + 9728 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/20815 and -52\/1035?\nAnswer: 187335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/7 + 232*h**2\/7 + 3264*h\/7.\nAnswer: 4*h*(h + 24)*(h + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2346*l**2 - 150*l**2 - 642*l**2.\nAnswer: -3138*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 8, 215, 5, -0.5, 12 in increasing order.\nAnswer: -0.5, 0.1, 5, 8, 12, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 30, 100, 228, 432, 730, 1140, 1680?\nAnswer: 2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 793*z**2 - 14 + 14 + 682*z**2.\nAnswer: 1475*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 102 = 23*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 320 - 319.999354. What is k rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8475779*x**5 - 62*x**2 - 103*x wrt x?\nAnswer: -508546740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**4\/24 - g**3\/3 + g**2. Let h be w(2). Suppose 2*d = u + 4 + 3, 4*d - 35 = -5*u. Solve h = 5*f - u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 8, r: 5, x: 1}. Give prob of sequence xga.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 18 + 22. Suppose 14 = f - 3*y, 2*f = g*y - 3*y + 23. Let h be 2*(f - (-3 - -1)). Solve 0 = -h*m + 3 + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 0*a + 0*a)*(76 + 52 - 27 + (1 - 1 - 2)*(2 - 2 - 1) - 5 + 1 + 3) - 4*a + a + 4*a to the form d*a + b and give d.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5029*n = 5030*n - 13 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5056, 13808, 22558, 31306, 40052, 48796, 57538?\n\"Answer: -w**2 + 8755*w - 3698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9 - 23*o)*(0 - 1 + 6)*(278*o**2 - 1518*o + 1518*o) to l*o**2 + h*o**3 + q*o + u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 - 4) - 7328506\/(-7395740).\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2022*y + 764. Let l(n) = 16190*n + 6116. Let f(z) = 6*l(z) - 51*w(z). What is the derivative of f(v) wrt v?\nAnswer: -5982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33180656.\nAnswer: 2, 59, 35149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 76*y**2 - 219*y - 46. Determine z(73).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -19 (c) -3\/2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155252052 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = c + 5, 4*c - 5*p + 215 = 195 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(4*b**3 - 3*b**3 - 3*b**3) - b**3 + 0*b**3 + 3*b**3 - 422 + 422 - 33*b**3 + (5*b**2 - 3*b**2 + 2*b**2)*(0 + 0 + b).\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/3 (c) 1 (d) -1 (e) 3\/1774 (f) 2 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 397343433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**5\/30 - 2*h**4 - 23*h**3\/3 - 5*h**2. Determine u so that i(u) = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1788 - 812*d - 1788 to q*d + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 - 24*g**2 + 11*g**2 in the form v + r*g + i*g**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 41205 + 41157, 0 = -3*b - 89*z + 2*z + 1059 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, f: 1, h: 4, t: 4, s: 2, i: 3}. Give prob of picking 1 t and 1 h.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 520.506 - 521. Let n = w - -0.494000541. What is n rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -1. Let s = 0 + h. Let k = -0.6 - s. Which is the biggest value? (a) k (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*r - 14 + 2, 12 = 4*t + 3*r. Let z(k) be the third derivative of 0*k + 3*k**2 + 0 - 1\/60*k**5 - 1\/6*k**t - 1\/4*k**4. Determine z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (28\/(-16) - -3)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239\/43 smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (13\/52)\/((-173)\/173)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224\/3 + -53. Let a = n - 761\/30. Calculate the common denominator of -13\/2 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:06 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m - 13. Let h be w(7). Let n = h - 30. Sort 4, 3, n in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 - 2 - 6*h**2)*(-7 + 1 + 2).\nAnswer: 16*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 4.8. Let x = 29 - 29. Which is the nearest to x? (a) z (b) 3\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 20 = -0*w - 5*w, -5*h + 42 = 4*w. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1067 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 4:23 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 50. Suppose 0 = 4*g - 4*m, -4*g + 2*m + z - 4 = 0. Suppose 5 + g = 2*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -26*y**5 + 15*y**4 + 26*y**3 - 4*y**2 - 11. Let v(r) = 9*r**5 - 5*r**4 - 9*r**3 + r**2 + 4. Let z(b) = 4*m(b) + 11*v(b). Factor z(c).\nAnswer: -5*c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 274 = -7*o - 4*s - 5*s - 38*s, 0 = -4*s + 20 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26+0.10610361985\nAnswer: -25.89389638015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1.3, -5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*r + 17 = -0*r, 4*r - 28 = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = 31*m - 41*m + 308 + 19 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 3*k + 4*k + (0*k + 0*k - k)*(-2 + 4 + 0) + 48*k - 15 + 15 - k - k + 3*k - k - k + k + (3 - 2*k - 3)*(-2 + 2 - 1) + 5*k - 2*k - 2*k - k - 1 + 1.\nAnswer: 47*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 16. Calculate the remainder when 54 is divided by v\/(-4) - (-231)\/22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228637, -456930, -684515, -911038, -1136145, -1359482?\nAnswer: -1580695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12152 and 153016.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14 + 19 + p + 8 - 37. Determine u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16332, -32111, -47112, -60945, -73220?\n\"Answer: 65*s**3 - s**2 - 16231*s - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -42. Suppose 5*r - 2*d - 68 = 3*r, 0 = -2*r - m*d + 84. Calculate the greatest common divisor of 57 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2360 and 61\/14160.\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*44\/(-55)*(-45)\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*k**2*p*u + k**2*p + 3*k**2*u - 15*k**2 - k*p - p*u wrt u?\nAnswer: -28*k**2*p + 3*k**2 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 601070061.271473 and -0.2?\nAnswer: 601070061.471473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -9. Suppose -3*v - 7*j + 4*j + 21 = 0, -j - a = -2*v. Let k(b) = b**3 - 18*b**2 - 42*b + 30. Let s be k(20). Sort v, s, 1, -3 in decreasing order.\nAnswer: v, 1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(303\/151 + -2) is divided by ((-30)\/8)\/((-7)\/4)*21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 13 = 3*x, -x + 9 = 2184*o - 2187*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.29 + 81.29. Which is smaller: r or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90943583.\nAnswer: 1193, 76231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 21 - 19 = 0. Let b = -6 - u. Suppose -n + b*n + a - 24 = 0, -102 = -4*n - a. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -6a43?\nAnswer: 6a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -45 + 0*t**2 - 31*t + t**2 + 0*t**2 - 2*t**2. Is z(-11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20058 + -496?\nAnswer: 1a672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = u, 4*b = 3*u + 4 + 3. Let t be (-1088)\/(-20) + 3\/5. Suppose d = b + t. What is the remainder when d is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2 + 1)*1. Let i(k) be the third derivative of -1\/20*k**5 - 2*k**2 + 1\/2*k**3 + 0*k + q - 5\/24*k**4 + 1\/120*k**6. Determine i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0817 and 179.74.\nAnswer: -14.684758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from evesfeedfesooffoeofs?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnd. What is prob of sequence dn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.005 * 0.4\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w + 5*x - 40 = 0, 12 = -4*w - x. Suppose 3*f - 10 = -2*p, 6 = -f - 5*p + 18. Put f, w, 1 in decreasing order.\nAnswer: f, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3023787 - 1753787. Round j to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppcpcpc. Give prob of picking 3 p.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13*1\/2*(12 + 14). Let c = -167 - g. Solve -3*m = -q + 13, c*m - 3*m + 5*q - 23 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01018657743 rounded to seven decimal places?\nAnswer: 0.0101866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 6581*c**2 - 3297*c**2 - 3284*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 4 - (-2)\/(-8)*(3 + -15). Is -343 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b - 52. Let p be h(0). Let i = -37 - p. Let o = i - 8. Calculate the remainder when 26 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3897593, -3897964, -3898335?\n\"Answer: -371*d - 3897222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 9*i**2 + 9*i - 2. Let h be x(-10). Let y(p) = 13*p**2 - 3*p**3 + 8*p + 2*p**3 + h - 2*p + 24*p. What is the units digit of y(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3679 = -3*d + 1318, 0 = 4*n + 2*d - 2346. Does 68 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16452, 16045, 15638?\n\"Answer: -407*u + 16859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 22680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237076 is divided by 383.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 17. Calculate the highest common factor of a and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {e: 11, d: 2, t: 1}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmiiiiimiimmiimm. What is prob of picking 4 m?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**3\/21 + 778*y**2\/7 - 1558*y\/7 + 2633. Find t, given that b(t) = 0.\nAnswer: -779, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/7 + 36020*r\/7 + 3546378\/7 = 0.\nAnswer: -17911, -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/25596 and -173\/89586.\nAnswer: 179172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6*0\/2. Suppose 0 = 4*j - 4*h - 12, j + p*j = 3*h + 5. Suppose g + 4*r - 12 = 3*r, j*r = 4*g - 24. Calculate the smallest common multiple of g and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62001 + 23214 = 741*r. Let l(j) = 11*j - 8. Let w be l(7). What is the highest common factor of w and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*l = 3*u - 460*l - 4, -3*u = -2*l - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1421342 (base 5) to base 16.\nAnswer: 739d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - -12) + -48 - (-6 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - h + (-5*h + 3*h + 3*h)*(-27 - 37 + 15) to t + j*h and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = j + 3 - 1, k - 4 = 2*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/13)*o**(-4\/15))\/(o**(-6\/23)\/o**(-16)) assuming o is positive.\nAnswer: o**(-73166\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.1 - -6.95. Let o = i - 3.9. Round o to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 69. Suppose b = 3*j - 16. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62\/13 - 2\/13*o**2 + 64\/13*o.\nAnswer: -2*(o - 31)*(o - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -2, -4, 3, 20 in decreasing order.\nAnswer: 271, 20, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002850514 minus -25?\nAnswer: 24.997149486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3\/3 - 3*i**2 - 3*i + 136. Determine c(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 3 + p**3 - 10*p + 8*p**2 + 3 + 6. Calculate the lowest common multiple of a(6) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 22*t**2 - 34*t - 83. Let q be w(20). Sort 0, q, 3, 4 in decreasing order.\nAnswer: q, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 80, 1, -1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -7*z**4\/5 + 4*z**3\/5 + 17*z**2\/5 + 6*z\/5 = 0.\nAnswer: -1, -3\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1463 + 1468. What is the nearest to 0 in 0.8, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 30 = 2*r. Let o(z) = z**2 - 1. Let q(t) = -t**3 - 11*t**2 + 3*t - 3. Let g(v) = -5*o(v) - q(v). Is 11 a factor of g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 52) + 27 + 12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2438 or 0?\nAnswer: -1\/2438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/136 and (-90)\/(-255) + 4671\/(-13464).\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -26 + 174. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:39 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 1. Let j be g(1). Let n(x) = x**3 + 8*x**2 + 24*x + 76. Let o be n(-6). Solve -4*a + 8 = j, 0*b + 8 = 4*b - o*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3330.5 + 3330. Which is the biggest value? (a) t (b) 19 (c) -0.4 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2895 = 31*i + 18*i - b, -42 = -3*b - 30 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*v, -392*v = -3*k + 2*k + 400*v - 785*v + 48 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 1119365510.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 1127*x - 14392. Determine f(-576).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - ((-3 + 3 + -5 + -5 - -12) + -12)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(252)\/(sqrt(12)*-2) + sqrt(231)\/sqrt(99))\/(1*sqrt(567) + sqrt(28)*-3)*-2.\nAnswer: sqrt(3)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 267*c**4 - 494*c**4 + 301*c**4 + 5*c**4 - 2*c**4 - 2*c**4 + (-4 + 4 + 2*c)*(14*c**2 - 8*c**3 - 14*c**2).\nAnswer: 59*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721010 is divided by 17164.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 + c**2 - 1. Let y be i(1). Suppose 14 = -3*l + y*l. What is the units digit of -2 + l + 2*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -7*k + 9*k. Let r be (19\/k - -1)\/(5\/(-10)). Which is the second biggest value? (a) -0.3 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293\/701 + -320073\/140200. Let x = 306\/25 + o. Find the common denominator of 24 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2\/(-1)) - 1. Let m(d) = -d - 1. Let n be (-2)\/(-5) + (-54)\/10. Let y(r) = -4*r - 4. Let q(o) = n*m(o) + y(o). Give q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, -5, -0.1, -2\/182671 in decreasing order.\nAnswer: 170, -2\/182671, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from taaat?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110 (base 3) in base 5?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -348*x**3 - 2*x**2 - 2*x - 1. Is r(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 - 48*p - 2. Let f be w(8). Which is smaller: f or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - 1*(1 + 1). Suppose n*x + 2 = 3*x. Suppose 3*d + 13 = -2*f, 4*f + 5*d + 13 = -10. Is f < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 3104*m**2\/3 - 4817408*m\/3 - 7476617216\/9.\nAnswer: -2*(m + 1552)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, z: 4, h: 4, p: 4}. Give prob of picking 1 h and 1 z.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 272373085 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1078)\/33*(-410)\/(-2296)\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f**3 - 3*f**2. Let a be j(2). Suppose 56*r - a*r = -32. Suppose -2*w + 14 = -r. What is the remainder when 76 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*m + 317 = 0, 4*p + 3*m + 309 = -0*p. Let b = -70 - p. Suppose -4*a - 4*a = -b. Is a <= -2\/141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223 + -10303231?\nAnswer: -10302002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {n: 3, o: 17}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/(s\/(s**0*s)*s)))*s**(-4)*(s**(1\/3))**(-2\/15) assuming s is positive.\nAnswer: s**(-182\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 136220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4050 or -4068?\nAnswer: -4068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1537063 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/28)\/(27\/54))\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*r - 141 = -3*r + 3*r - 261, 0 = j + 138*r - 131*r + 205 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 + 124*y - 3. Let v be t(31). Let w(r) = r**3 + 3*r**2 - 3*r - 9. What is w(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132830000 rounded to the nearest one million?\nAnswer: -133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 541181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -33, -50, -4, 5 in ascending order.\nAnswer: -50, -33, -25, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1)\/(44\/(-20) - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*u = -32*u - 1614 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(7) - sqrt(2100)\/sqrt(3))**2 + (1 + sqrt(112))**2 + sqrt(112)).\nAnswer: 24*sqrt(7) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37481?\nAnswer: 37, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 465571280 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 237 = 21. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 11\/859844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 103?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.167980915 and -6?\nAnswer: 5.832019085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033003 + -23?\nAnswer: 2032320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -340030?\nAnswer: 340023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5 - 3*i**4 - 203*i**3 + 1527*i**2 - 1634*i - 3360 = 0. What is i?\nAnswer: -16, -1, 3, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-3)\/(-351)*-6\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21012111 - 1211112?\nAnswer: -100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1635 + 1640. Solve p*a = 3*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-3)*(4\/(-18))\/((-10)\/3)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 3*q + 2. Let o be v(-1). Suppose -o*s + 2 + 8 = 0. Suppose -z - 2*m + 4 = -3, 3*z + 12 = s*m. Sort 4\/9, 2\/7, z in decreasing order.\nAnswer: z, 4\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuvueeuo. What is prob of sequence ve?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003102825 to six decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*t = -318*t + 32. Calculate the greatest common divisor of 184 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from uwuuuuummumccmum.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15)*(-399)\/38?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66710248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzz when three letters picked without replacement from {z: 2, b: 2, r: 1, f: 1, g: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 - -367. Let n be o\/(-135) - (-16)\/4. What is the biggest value in n, -1\/6, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h + 1. Let y(c) = -c**3 + 9*c**2 - 5*c + 5. Let v(b) = 6*k(b) - y(b). Does 4 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -853*o**2 + 3*o + 820. Let w(l) = 853*l**2 - 2*l - 815. Let n(g) = -2*m(g) - 3*w(g). Differentiate n(h) wrt h.\nAnswer: -1706*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440392?\nAnswer: 2, 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 118288277 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxxxexxxxxxxxxx.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 4*v**3 + 2*v**2 + 4*v - 3 = 0. What is v?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Let u = 6 + z. Suppose u + 74 = 3*r. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 381 - 366 = 0, -2*s - 23 = -5*l. Let a(d) = -15*d - 56. What is a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*u = 4*u - 2, -2*u = -2*v - 2. Let l be v + -1 - (-2)\/1. Let c be 10\/(-6) + l\/(-3). Sort c, 6, 1 in decreasing order.\nAnswer: 6, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85396746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 3*y - 3. Let f(q) = q**2 - 2*q + 2. Let i(k) = -6*f(k) - 5*l(k). What is i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 1189922*z - 1189923*z = 23, 5*z = -3*h - 31 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 40361995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -121. Suppose 16 = -5*b - 2*f + 56, 4*f - 14 = b. Calculate the highest common divisor of z and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057691925 + -4.1?\nAnswer: -4.157691925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*o**2 + 103*o**2 - 14*o**3)*(-8 - 2 + o + 1).\nAnswer: -14*o**4 + 126*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 6 = -22*y. Let w be 2\/48*-10 - (-4)\/y. Let v = -5.73 + 0.73. What is the nearest to -2 in w, v, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -57 (b) 2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (105\/(-10))\/(2\/(-4)). Suppose 4*f + 2*o = -6, -2*f - 2 - h = 5*o. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141680487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-48))**(1\/35) assuming b is positive.\nAnswer: b**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1693701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p - 0 + 36 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 59*r**2 + 4*r - 717. Determine q(-29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*3 + 4. Suppose 3*s - 4*m = -5*m + 22, 0 = 2*s + m - 16. Calculate the remainder when s is divided by -2 + (n\/(-3) - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593228.\nAnswer: 2, 43, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 916.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-270)\/60)\/(-2 - 122\/(-64)). Which is smaller: n or 148\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let t(a) = -7*a**2 - 70. Let s(q) = -t(q) - 35*u(q). What is the derivative of s(g) wrt g?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -7 - -5) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -2790140.\nAnswer: 2790143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**8\/112 + l**4\/12 - l**3\/6 - 52*l**2. What is the second derivative of p(d) wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6\/7, -10\/9, -2\/11, 2.7, 9 in decreasing order.\nAnswer: 9, 3, 2.7, 6\/7, -2\/11, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*m = -160, 2*i - 45 - 55 = 5*m. Suppose -385 = 11*z + 187. Let p = i + z. Solve 2*s = -0 - p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 + b**2 + 4*b + 5. Let i(v) = -v**3 - v**2 - v - 1. Let g(n) = -6*i(n) - 2*w(n). Suppose g(l) = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9821 + -9811. Calculate the greatest common factor of 420 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -23647*i + 23644*i + 13, 5*d + 4*i + 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/16)\/((-3)\/(-12)). Let u = -5 - -4.7. Let l(m) = 52*m + 3784. Let i be l(-73). Which is the smallest value? (a) u (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19594 + 19656. Calculate the remainder when 1359 is divided by k.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h**3 - 2*h**2 + 1. Let d(x) = x**2 - 12*x + 21. Let t be d(10). Is f(t) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 485\/3 + -160. Let v(p) = 114*p - 9460. Let z be v(83). Determine c, given that 20\/3*c - 25\/3 + k*c**z = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338844189 to the power of 1\/2, to the nearest integer?\nAnswer: 18408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 43. What is the hundreds digit of h + -29 + 2\/(4\/722)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134581290 to the power of 1\/2, to the nearest integer?\nAnswer: 11601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, y: 2, c: 5}. Give prob of sequence yy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c + d?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 12:28 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 5*p + 7. Let z be y(-6). Find the common denominator of 0 - 98\/(-4)*z and ((-402)\/(-60) + -7)\/(9\/39).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1370)\/98 - (-3683)\/(-180467)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2. Let y(l) be the first derivative of l**5\/60 + l**2\/2 + 1. Let u(k) be the second derivative of y(k). Determine n(u(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*v - i, 0 = -2*i + 7 - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 829972399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37631 (base 14) to base 10.\nAnswer: -135675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 42096*y - 13007667. Determine d(309).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 6. Let t be a(-3). Suppose 0 = 3*h - 242*l + 245*l + 15, -2*h + 4*l + 14 = 0. Sort h, 7, 4, t in descending order.\nAnswer: 7, 4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 20*l**2 + 12*l + 46. Let b be x(19). Let v = -71 - b. Calculate the greatest common divisor of v and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 11*s - 36. Determine j(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 6*z**2 + 6. Let c be a(-6). Let p(o) = -2 + 6 + 5*o - c*o. Let b be p(2). Solve -5*t = -b*t + r + 9, 4*r + 6 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 473*f + 313. List the prime factors of h(16).\nAnswer: 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 304*p + 242. Let v(r) = 1522*r + 1290. Calculate -16*a(l) + 3*v(l).\nAnswer: -298*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 + 4*d - 4*d + 2*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**7\/42 + x**5\/30 + 12*x**2. What is the third derivative of p(b) wrt b?\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041.022 centuries in years?\nAnswer: 104102.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a417 + -2931?\nAnswer: 27596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 20*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348930955?\nAnswer: 5, 69786191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/60 - f**5\/10 - 5*f**4\/24 - 3*f**3\/2 - 18*f**2. Let c = 26 + -9. What is the remainder when l(5) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155334 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f + 4*f**3 - 7*f**2 + 2*f**3 + 11 - 7*f**3. Let a be o(-8). Let u be (6\/a - 0) + 0. Solve -7*s - 15 = -u*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/2)\/(5 + -7). Suppose u*n + 2 = 12. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 2*c**5 - 3*c + (-c**2 + 2*c**2 - 3*c**2)*(5*c**3 - 2*c**3 - c**3) + 3*c - 3*c - 2*c**5 + (-2*c**4 + 4*c - 4*c)*(c + c - 5*c).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.99 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8164294, -16328530, -24492766, -32657002, -40821238, -48985474?\nAnswer: -57149710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*x**4 + 1)*(4 + 10 - 12 + 149*x) + 4*x**5 + x**3 - 7*x**3 + 5*x**3.\nAnswer: -443*x**5 - 6*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 572597 times 135.5?\nAnswer: 77586893.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by -139\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*a + 19, -a - 2 = -3*a. Find the common denominator of -79\/39 and 3*((-5)\/((-90)\/(-146)))\/q.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97588 is divided by 24397?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -377 + 2143?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-1953)\/5)\/(-9) - (-9)\/15 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9618 - 23938 + 11175 - 1789 - 22345)*(7*d**2 - 2*d**2 - 2*d**2) to t*d**2 + g + f*d and give t.\nAnswer: -139545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -0.4 (b) 0.3 (c) -0.2 (d) 1.226\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 9.4. Let i = 1.7 + -3.1. Let t = i - -0.4. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 200 = 4*v - 0, 0 = 2*v - 4. Let d = w - -97. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 3\/221 (b) 6 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(1*(1*sqrt(3))**2 + 5) + (sqrt(6) + (sqrt(6) + sqrt(54) - sqrt(6))*2)\/(sqrt(8)\/(sqrt(4) + sqrt(36))).\nAnswer: -22 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u - 14 - 24 + 51*u - 38 - 27*u.\nAnswer: -u - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 + -10 + 0. Suppose -2*q + 46 = -5*f, -2*q = -3*q - 2. Which is bigger: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-459)\/306*2\/(-11)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -938, -144, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 4)*(-3 + 3 - b)*(-28*b + 6*b**2 + 28*b) - 3*b**3 + b**3 + 4*b**3.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 9. Let t be m(-6). Let h be (30\/t)\/((-2)\/(-3)). Suppose -h*x = -x - 48. What is the remainder when 21 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 3, b: 16}. What is prob of sequence pg?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + -78. Let w = u + 157.5. Sort w, -15, 0 in ascending order.\nAnswer: -15, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9157212?\nAnswer: 2, 3, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:38 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005499 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -128, -197, -270?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26064047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 7*y + 112. Let k be (y\/(-20) - 1)\/((-2)\/10). Solve -12 = -3*u + 5*x - 35, -19 = k*u - 4*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*y - 57. Let t(s) = 6*s + 48*s - 16 + 15 - y*s. Is t(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 7*m + 2. Give p(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22131311010 (base 4) to base 15.\nAnswer: 392dd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/170)\/(9\/(-24)*58)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 7*b**8\/24 + b**5\/20 + 127*b**4\/12 + 992*b**2. Find the third derivative of s(m) wrt m.\nAnswer: 5880*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l + 12*l**5 + 21*l - 13*l wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1870, -3440, -4420, -4522, -3458, -940?\n\"Answer: 48*q**3 + 7*q**2 - 1927*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) 13 (b) 0.5 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21*c + 72. Let v be b(-3). Let f = v + -10. Is f bigger than 5\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = -u, -2*w - 23 = -5*u - 6. Is (-3 + -98)*w + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 44. Let q(j) = 136*j**2. Let l(k) = 41*k**2. Let v(x) = 10*l(x) - 3*q(x). Calculate v(m(i)).\nAnswer: 2*i**2 - 176*i + 3872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 - 2*p**2. Let s(i) be the third derivative of i**6\/12 + 7*i**5\/60 - i**4\/24 - i**2. Give -7*a(f) - 2*s(f).\nAnswer: f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3961 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - -6. List the prime factors of l.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867*z - 1 + 2 - 1.\nAnswer: 867*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -387, -333, -199, 57, 477, 1103?\n\"Answer: 7*v**3 - 2*v**2 + 11*v - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149.8 - 138. Let v = 10.82 - s. Let g = v - 0.02. Put g, -4, -3 in increasing order.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/18933865 and 37\/3350?\nAnswer: 189338650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1168.54755 to the nearest 10.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1256 and 10205?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 14\/(-3))\/((-2)\/54). What is the greatest common divisor of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(18\/11)\/v))\/v)\/v)\/(v*v**(-1\/17)*v)*(v**(3\/10)\/v)**(-17) assuming v is positive.\nAnswer: v**(13693\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 9) to base 7.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1794760 to the nearest 10000.\nAnswer: -1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19924901.\nAnswer: 17, 19, 61687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/11 and 33\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149011242*h**2 + 126653012*h wrt h.\nAnswer: 298022484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0343 and -0.01.\nAnswer: -0.0443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.5. Let b = -160 - -160.3. What is the closest to -2 in w, 2\/7, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114972 = -447*z - 11304 - 208974. Which is smaller: 10 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675 a factor of 5500974668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p + 44*p + 381*p.\nAnswer: 469*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*c = -150 + 39, 151 + 119 + 174 = -3*n + 12*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -16\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 + 304*n + 11552 = 0. Calculate n.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.052 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -3, 0, -2, 0.3 in decreasing order.\nAnswer: 0.3, 0, -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, 11, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-14)\/4) - (-902)\/(-6314)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9690891876 + -17076\nAnswer: -17076.9690891876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (274680\/(-455))\/24?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41 and -277921.\nAnswer: -113947.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12078305 divided by 5?\nAnswer: -2415661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5362 by -1.\nAnswer: 5362","meta":{"dup_signals":{},"source":"arithmetic__div_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: Suppose -2*j + 6*j = 32. Let m = -4 + j. Let o = 2 + 4. Calculate the lowest common multiple of m and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 91.53996kg?\nAnswer: 91539960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306662 (base 8) in base 11?\nAnswer: 398440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 12. Let p be v(8). Suppose -3*t = t - p. Solve -2*f - 14 = 2*g, 4*f = -0*f + 5*g - t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-2) - 0\/(-11). Let r(b) = b**2 + b + 1. Let t be r(w). Find the first derivative of 18*y**2 - 6 + y**t - 18*y**2 wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/43635 and -18\/38375.\nAnswer: 334898625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -430234?\nAnswer: 430226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.9 - -84.858. Round m to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soi when three letters picked without replacement from {s: 5, o: 3, i: 8}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)\/(b\/(b\/(b\/((b**(-3\/4)\/b)\/b)*b))))\/(b*b**(5\/2)*b*b*b**(-3\/8)*b) assuming b is positive.\nAnswer: b**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1428)\/(-14)*51\/(-306)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21003429?\nAnswer: 3, 251, 27893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z - f - 40 + 9, 0 = -z - 4*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 + 4*x - 7. Determine u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14015 (base 11) to base 13.\nAnswer: 9130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 955 = 53. What is the lowest common multiple of c and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 410114?\nAnswer: -410061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from wwwwwwvwvwwmmvw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/3 + 8\/6. Let d(s) = s**3 - 4*s**2 + 2*s + 5. Let t be d(h). Calculate the greatest common divisor of t and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036139609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1212?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 258*l - 128*l - 130*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 7*f. Suppose -2*d = 5*o + 22, 0 = -4*d - f*d + o. Let i be d*(2 - (-6)\/(-2)). Calculate the greatest common divisor of 5 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2793708 divided by 4?\nAnswer: -698427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-22 - -5 - ((-17 - -26) + -24))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*x = -30, 4*f - 16 = -10*x + 6*x. Suppose -f*l + 12*l = 224. Calculate the least common multiple of 20 and l.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 + -133. Let s(l) = -8*l**3 - 1 + o*l**3 + l - 2*l + l**2 - 22*l**3. Determine s(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + -2*sqrt(70) + sqrt(70))*3*-2)\/(-1*sqrt(1000))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -465 + 905. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802548 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/z*z)**(-26\/9)\/(z**(-2\/11)*z**2))\/(z**2\/(z**(7\/4)\/z))**(-2) assuming z is positive.\nAnswer: z**(707\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, 13, 33, 63, 103, 153, 213?\n\"Answer: 5*s**2 - 5*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 2\/9 (c) -4\/13 (d) 315935 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93479688 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.29656 * 9\nAnswer: 2.66904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0204 - -0.4796. Suppose -12 = 4*n + 4*t, -t + 6*t - 21 = 4*n. Let p = -2 - n. What is the closest to 0.1 in p, c, -4\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-23)\/j**(-15\/2)*j**22*j*(j**(2\/67)*j)\/j)**(-4\/13) assuming j is positive.\nAnswer: j**(-2018\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 20*t**2\/3 + 119*t\/3 + 220\/3.\nAnswer: (t + 4)*(t + 5)*(t + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/11 (b) -31 (c) 0.2486 (d) -4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 1, z: 2, r: 2, w: 3, e: 8, y: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or 103?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(11\/2)*q**2 assuming q is positive.\nAnswer: q**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 2:58 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.58 + -0.28. Put 3, -0.9, 4, b in descending order.\nAnswer: 4, 3, b, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:54 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*sqrt(204)*1 - sqrt(204)))\/(sqrt(48)\/sqrt(100)*-5).\nAnswer: -25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 7. Let f be n(6). Let h be 2418\/558 + 43\/(-3). Sort f, h, 6.\nAnswer: h, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.535 + -5.142. Let h = 0.16 + -0.153. Let y = h + p. What is y rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 272708, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 3. Let t = p + -0.3. Suppose -2*y + 10 = -3*q + 5*q, 0 = 4*y - 12. What is the second biggest value in -2\/7, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 - 6*g. Let k be z(-6). Suppose 5*o - 185 = -k*j - 2*j, 0 = -4*o - 12. Suppose -3*n + 349 = j. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -201098 and 2.4?\nAnswer: -482635.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*y, 6902*n - 7*y + 10 = 6905*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0.7, 18, -2\/3, 1\/6 in descending order.\nAnswer: 59, 18, 0.7, 1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1a026 (base 13) to base 2\nAnswer: -1100010110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1897668 and 2268.\nAnswer: 13283676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 5720\nAnswer: -3\/1430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.11 - 0.11. Let m = 37 + -38. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q - 2. Suppose -3*f = -z - 8*f - 4, -q*z + 2*f = -28. Calculate the smallest common multiple of z and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*y - 287*y - 3*t + 34635 = 0, -8657 = y + t. Is y at most as big as -8659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4964775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-7) - (-506)\/161. Put -12, -11, y in increasing order.\nAnswer: -12, -11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 12805407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from yyyydyddyyydddydydd.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6990 + -6678. Is c at least as big as 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2523465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 104, 397, 886, 1571, 2452, 3529, 4802?\n\"Answer: 98*v**2 - v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 70 - (183 - 144)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801648 is divided by 591.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 110. Let h = 6 - -22. Let u = f + h. What is u rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -25, 4, -5, -991, 1 in descending order.\nAnswer: 4, 1, -4, -5, -25, -991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*s - s. Let k(i) = -i**3 + 8*i**2 + i - 6. Let h be k(s). Let x(z) = 3*z - 4*z + h*z. Let j(a) = -a. Determine x(j(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(76) + 0 + -4)**2 + -3.\nAnswer: -16*sqrt(19) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3020 + 3020.4. Suppose -16 = 11*i - 7*i. What is the third smallest value in i, u, -28?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/7153 and -13\/201528622.\nAnswer: 201528622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877045.1ml to litres.\nAnswer: 877.0451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11894 - -12123. What is the remainder when k is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c56c - a?\nAnswer: -4c578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 50860*n**2 + 3 - 1.\nAnswer: -50860*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i - 2*r = -374, 5*r = -5*i + 365. Calculate the remainder when i is divided by (804\/(-8))\/3*(13 + (-255)\/17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-219 - -194) - (1 + 0 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((33 - 20) + -18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2295)\/75)\/(-9) - (-6)\/(-15). Put -1\/37, r, 4 in ascending order.\nAnswer: -1\/37, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*c + 36*c + 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24173682 less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2. Let b(k) = -254*k. Calculate d(b(q)).\nAnswer: -129032*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 118*v + 46. Let q be i(0). Solve 0 = 11*u + 35*u - q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, z: 3, y: 1, g: 1}. What is prob of sequence gti?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -273617136 divided by 116532?\nAnswer: -2348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -7 - (-5 - -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*i**3 + 79*i**3 + 77*i**3 - 235*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 0*m + 0*m**2 - 1 - 1\/3*m**3. Let p(o) = 0*o**2 - 3*o**2 - o**2 + 7*o**2. Determine g(p(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 7) in base 16?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 10:14 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36201 by -3291.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3339145*d**3*h - 31*d**2*h - 2*d**2 + 4*d*h + 9*d - 140 wrt d.\nAnswer: 20034870*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -879*t**2\/7 - 123*t + 18\/7 = 0.\nAnswer: -1, 6\/293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.174 - -0.074. What is n rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 383*q - 129 = -389*q, -3*t = 2*q - 35 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(637) - (1 + sqrt(637))) + -4 + sqrt(637) + sqrt(637) + (sqrt(637) + (sqrt(637) + sqrt(637)*-1 - sqrt(637)))*5)**2 + 1)*2.\nAnswer: -112*sqrt(13) + 5106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24763305 (base 8) in base 3?\nAnswer: 101100100121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -1835190\nAnswer: -17\/611730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14145 and 4025?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 2 - 16*b + 24*b - 1 - 16*b. Let o be v(9). Suppose o*u - 15*u = 25. Let w(n) = n**2 + 5*n + 5. Calculate w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4361 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 9\/24701 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 3:22 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 364321714 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 8. Suppose -a*g - 5 = -5*g. Calculate the remainder when 18 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/7 - 15*n\/7 + 6.\nAnswer: -3*(n - 2)*(n + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 22. Let q be h(11). Suppose m + 5*v - 1 = 0, 5*m + 3*v = -q*m + 27. What is the remainder when (7*2)\/(2\/3) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 657 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -37. What is the third biggest value in -0.13, 1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3387417588342 take away -0.12?\nAnswer: 3387417588342.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/54 + -10\/27. Suppose 4*v + 119 = 3*x, -v = 3*x + 2 - 96. Let r = 34 - x. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49810517371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1458))\/sqrt(9).\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.146 - 3.854. What is the third smallest value in 0.2, v, 16, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19700 - -19715. Let p = 351\/5 + -71. Which is the third smallest value? (a) p (b) h (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.628 + -100.5458?\nAnswer: -96.9178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:45 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 1 - 1)*(-l**2 + 0*l + 0*l + (-l - 2*l - l)*(3*l - 5*l + 0*l) + 4*l**2 + 5*l**2 + 3*l**2).\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5292\/343 - (9\/(-28) + 1\/(-4)). Solve 12 = 5*x - 4*a, -q*a = 2*x - 19*a - 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -238c4 - a8?\nAnswer: -2398c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*h = -65*h + 95*h + 3275700. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2\/1 - 0. Let d(r) = -r**3 - 67*r**2 + 165*r + 2043. Let f be d(-69). Let t be f\/35 + q*5. Is -1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 + 17298*v + 51903 = 0. Calculate v.\nAnswer: -3, 17301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67398 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -8. Let f = 8 - n. Suppose 0*w + 4*w - 20 = f. Solve 11 = -w*q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 5. Let g(a) = -3*a - 6. Let v be (1\/5)\/((-18)\/(-270)). Calculate v*g(h) - 4*u(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/489, 6\/37, 3, -1\/2 in decreasing order.\nAnswer: 3, 6\/37, -2\/489, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3427882*p**2 + 920551 wrt p.\nAnswer: 6855764*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*2\/4*(91148 + 35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o - 8 + 3*o - 4*o + 4*o. Let a be p(9). Let l = a + -45. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (2 - 2) + (-4 - (-17 - 9))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202352958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 6:59 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5417 - -5333. Suppose -2*o = 3*o + 6385. Let k = p - o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4\/7, -288.4156, -2\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 25*c + 36 = 22*c, 0 = -2*s - 3*c + 14. List the prime factors of (-42)\/105 - -358*3\/s.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -6) + 48\/2. Let m(c) = 9*c**2 - 8*c + 8. Let i(a) = -a**2 + a - 1. Calculate y*i(x) + 3*m(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6987428?\nAnswer: 2, 7, 61, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -168*162\/189 + 42.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y**3 - y**2 + 23*y - 81. Let r(a) = -a**3 + a**2 - 6*a. What is q(k) + 4*r(k)?\nAnswer: 7*k**3 + 3*k**2 - k - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -315 (b) -0.1 (c) -2 (d) -1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 357*x**3 + 6654*x**2 + 35872*x + 48000.\nAnswer: -(x - 375)*(x + 2)*(x + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 + l + 4. Suppose 3*c + 2*c = 20. Let j be u(c). Let t = j + -58. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 + 9*b**2 + 2*b + 8*b + 27 + 2*b. Is o(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 9*d**2 - 2*d - 15. Let f be x(-9). Suppose 5*q + 15 = 2*q. Sort q, f, 5 in descending order.\nAnswer: 5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -2\/23, 520, -1\/2, 15, 4\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*j**2 - 2492*j - 142*j**2 + 2491*j.\nAnswer: 22*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770 less than -5?\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m + 118. Let o be j(0). Let k = 120 - o. Solve -2*b - 14 = n, -3*n + 5*b + 11 = -k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 16545 + -297949\/18. Let g = 2\/5867 - 82192\/158409. Find the common denominator of o and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3364 is divided by 78.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49347635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2 - 3*i**2 - 4*i - i + 2*i**2. Let t be c(-4). Find the third derivative of b**4 - t*b**4 + 3*b**2 - b**2 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 - -119. Suppose m = -u - 0*u + 2*v - 15, 2*u + 30 = v. What is the common denominator of 3\/7 and (-322)\/264 + (-5)\/u?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/9)*t*t*t**0)**(-21) assuming t is positive.\nAnswer: t**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 965599 at least 965600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4389 at most as big as 4405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -55, 80.\nAnswer: -55, 0, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkqqpd. What is prob of sequence kp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**7*o)\/o)\/(o**(-1)\/o))\/(o\/(o*o**(1\/3))*o)**14 assuming o is positive.\nAnswer: o**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1946 - -1086. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-7)\/14 + 38\/(-20)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821144?\nAnswer: 2, 102643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27141, 27143, 27147, 27153, 27161, 27171?\nAnswer: 27183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x - 8. Suppose -117 = -w - 114. Let f(o) = 2*o**2 + o + 9. Give w*f(a) + 4*n(a).\nAnswer: 2*a**2 - a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:50 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 187464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96299 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673528.\nAnswer: 2, 84191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1392 and 40?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -327.3 - -330.3. Let v be (-1 - 2\/(-1)) + -2. Which is the closest to -0.1? (a) -3\/4 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-6 + 1) - -25. Let c = 46 - q. Is 12\/c*(-786)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000918114 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -5. Let v(l) = 2*l**2 - 6*l - 15. Let k be v(5). What is the greatest common divisor of b and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/11 (b) 3 (c) -0.5 (d) 5 (e) 0.04 (f) 52\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52164 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7509, 14515, 21023, 27039, 32569, 37619, 42195, 46303?\nAnswer: 49949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.242 and 0.2.\nAnswer: -0.0484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13077?\nAnswer: 3, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*42\/(-4). Let p = -3 + g. Solve 10 = 4*v - q, 3*q = v - 4 - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 66 + 71 = 11*b. What is the highest common factor of b and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 321917.7ml?\nAnswer: 321.9177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*z + 23. Suppose o = -3 + z. Suppose 2*w = 5*a - 24, o*w + 29 = 5*a + 3. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-44)*20 + 19\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013495008 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*f + 3*f. Suppose i - 2*i + 33 = 0. Let q(x) = -x**3 + 33*x**2 + 2*x - 60. Calculate the least common multiple of q(i) and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkn when three letters picked without replacement from {r: 4, z: 2, k: 2, n: 12}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -y + 4*d + 9, 4*d = 3*y + 8. Suppose -y*q = 9 - 17. What is the first derivative of q + 35*w**2 - 31*w**2 + 3 wrt w?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(6)\/sqrt(3))**2 + (sqrt(18))**2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 899421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11193 and 91?\nAnswer: 11193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -500*((-1456)\/325)\/56?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82463.\nAnswer: 82463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from oxwfohobhohoo?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z - 136. Calculate k(27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5993 * -2.\nAnswer: 15.1986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (144\/(-18) - -22).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 - (0 - 0). Let u be 2\/(0 + h\/(-67)). Let t = u - 163. Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 + 0 + 1. Suppose -6*v = -2*v - 5*h - 48, 3*v = -2*h + 13. Let m = v + -5. Solve 0 = b + m*b - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-8 - -3 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45, 325, 793, 1449, 2293?\n\"Answer: 94*j**2 - 2*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2299003*s + 30. Let m be q(10). What is m rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-783)\/(-36) - (5 + 2))\/((-1)\/(-476)).\nAnswer: 7, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*q - 10 = 5*l - 49*q, -8 = 4*l - 4*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 306122935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9302465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (8 + -2 - -39) - -21.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279046797.\nAnswer: 3, 93015599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 h when three letters picked without replacement from chcchcc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215.2 - 200.161. Let x = c - 0.039. Put 4, x, 1, 1\/2 in increasing order.\nAnswer: 1\/2, 1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 31*t**2 - 7*t**2 + 18*t**2 + 142*t - 141*t. Calculate n(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a*f**3 - 22*a*f*o**2 - a - 9*f**3 - 2*f*o + o**2 wrt a.\nAnswer: -4*f**3 - 22*f*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114400032 - 1?\nAnswer: -114400033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 + 5*p**2 + p**4 + 0*p**3 - 3*p**2 - 3*p + p**3 + 2*p + 4 to k + h*p**3 + x*p**4 + m*p + q*p**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8700*m + 4704*m - 777432 = 0 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 256\/9 less than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*x**4 - x**2 + 1 - 58*x**4 + 3*x + 28*x**4 + 0 to z*x**3 + p*x + n*x**4 + v*x**2 + u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15033.019 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/100710 or 1?\nAnswer: 43\/100710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -10 + 38 + -22?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohe when three letters picked without replacement from eheohpeoeefeonhphph?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/12 + 138*t**3 + 5052*t**2 - 11842*t. What is the derivative of i(k) wrt k?\nAnswer: 2*k + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1033, 35, 313?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 19*z = 119, 7 = 8*y - 0*y - 3*y - 2*z - 0*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Let d(t) = 2*t. Let n(k) = -7*b(k) + 3*d(k). Suppose 440 = 24*y + 464. Let f(a) = -2. Calculate y*f(w) + 3*n(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*x + 81328 = -194*x. Calculate the greatest common divisor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.756, 5210\/31, -4 in descending order.\nAnswer: 5210\/31, 0.756, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4384, 8766, 13158, 17566, 21996, 26454?\n\"Answer: p**3 - p**2 + 4378*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 63*v**3 + 62*v**2 + 7*v**2 + 34*v**3 + 25*v**2 + 27*v**3 in the form j*v**3 + s*v**2 + a + q*v**4 + d*v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.6 + 19. Which is the smallest value? (a) s (b) -2\/5 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39941758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnln when four letters picked without replacement from llnnnl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(32\/14)*2\/(-7)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*c + 5*b + 10, -5*c - 3*b = -28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 51*y - 11. Suppose 4*v - o - 168 = 0, -250 = -5*v + 3*o - 47. Let a = y + v. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 - 95. Let v(c) = 14*c + 4. Let o be v(4). Calculate the greatest common divisor of o and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8450.7 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (403\/(-39) + 10)*204. Let o(n) = 68*n**2 - 1. Let i be o(1). Let r = a + i. Which is bigger: r or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -2*c - 4*s - 11, -4*c + 152 = -4*s. Calculate the remainder when c is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, z: 6}. What is prob of picking 3 z and 1 d?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581*p - 577*p - 6*z = 128694, -p - 5*z = -32167. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -200220311213?\nAnswer: -200220311202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10315\/12 - -855. What is the common denominator of -53\/4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -383 + 389. What is the smallest common multiple of k and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, 22, 34?\n\"Answer: 12*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 + 1722265*l**2 - 148314142080*l + 741527654400 = 0. What is l?\nAnswer: 5, 172224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*a. Suppose 4*y = -a*d - y - 4, 5*y + 13 = d. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**3 + 50*a**3 - 6*a**3 - 10*a**3 - 16*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/2*h**3 + 2521*h**2 + 129600 + 454320*h = 0. Calculate h.\nAnswer: -360, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/8 + 93*n**2\/4 - 2451*n\/2 + 12943.\nAnswer: -(n - 86)**2*(n - 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddxe when four letters picked without replacement from dxxxexdxxddedjdxd.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9, o + o = -4*x + 10. Suppose g = x + 2. Suppose -2*f - 4*y + 22 = 0, -5 = f + y - g*y. Solve 8*v - 3*v + 2*a = 21, -4*a - f = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-666)\/259*7)\/((-12)\/48)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 + 90279*f\/2 + 49823241.\nAnswer: -3*(f - 31159)*(f + 1066)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 426*w**3 + 0*w**2 - 2*w**6 + 3 - 428*w**3 + 0*w**6 + 4*w**2 wrt w?\nAnswer: -240*w**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 10*t + 7*t - 4 = 0, 2*t = 2*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026437145 rounded to five dps?\nAnswer: -0.02644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 20272?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(1*3\/(-6)). Let b = l - 122. Let q = 48 - b. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8*o**4 + 62471*o**3 - 62471*o**3 - 58*o + o**2 as d + f*o + q*o**3 + i*o**4 + n*o**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266 < -696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18428 by 68.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 + 22*r**2 + 25*r - 11. Suppose -6*c = -9*c - 2*p + 24, 4*c + 3*p = 30. Determine l(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 - 13 - (-6 + -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.41?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 3*v**2 + 4*v - 3. Let m be l(-4). Let n(i) be the first derivative of i**2\/2 + 7*i + 196. Determine n(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1185\/(-3792))\/(5\/6)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**8*h)\/h))\/h*h**13*h)**44 assuming h is positive.\nAnswer: h**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2945, -2916, -2887, -2858, -2829, -2800?\n\"Answer: 29*k - 2974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 580001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 3*m**2\/2 + m + 11. Let c = -23 - -27. Suppose -6 = c*z + 14. Calculate w(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130333 (base 9) to base 7.\nAnswer: 12464055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*u + 10082 - 653. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 46.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/138, 1\/7, 278 in decreasing order.\nAnswer: 278, 1\/7, -13\/138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.52, 0, -100, 227, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1487, -2975, -4453, -5915, -7355, -8767?\nAnswer: -10145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -12. Let c = p + -18. Solve c*r + 2*r = 4*y, -4*y + 9 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(-4*(sqrt(143)*-2 + sqrt(143)) + sqrt(143)))\/((sqrt(88) - ((sqrt(88) + (1*sqrt(88) - sqrt(88)))*-1 - sqrt(88)))\/sqrt(8)) + 2.\nAnswer: -10*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 + 3. Let l(t) = -t**2 - 1. Let k(g) = -6*l(g) - p(g). Suppose -3*o = -8*o - 15, 3*s + 4*o = -12. Determine k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3\/5 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**6\/6 - o**5\/10 - 35*o**2. What is the third derivative of u(c) wrt c?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1120 and 157\/672?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 - 4\/(-21). Let k = -38.1 + 36. Let c = 5.1 + k. What is the second smallest value in n, -3, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbdbdbbdwd. What is prob of sequence bdd?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/(-40))\/((-2)\/(-16)). Suppose 3*o - h*o + 30 = 0. Let v(l) = 4*l**2 - 12*l + 10. Let p be v(5). What is the greatest common divisor of p and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let t(q) = -18*q + 88. Let w be t(5). Is (n - (-322)\/(-4))*w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.08492 to three dps.\nAnswer: 1.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (-5 - 14 - -35).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175 - 171. Solve -5*d + 2*s = 20, 0*s - 5*s = -d - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 5:24 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -478, -431, -352, -241, -98, 77?\n\"Answer: 16*y**2 - y - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from vxxxvkvvxoxxkxxxkkxu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33546 divided by -2\nAnswer: -16773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 - 63*r**2 + 20*r + 44. Determine z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*l - 7*l**2 + 53 - 53 + 6*l**2.\nAnswer: -l**2 + 46*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 625680*w**3 + 32634209664*w**2 - 568160374348224*w + 30585597347487168.\nAnswer: 4*(w - 52122)**3*(w - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 52. Let z be 23\/v - 4\/(-8). Let n(r) = r - 1. Let x be n(5). Calculate the highest common factor of x and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppop when four letters picked without replacement from psopspsppssssoscsss.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:07 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14720978?\nAnswer: 2, 7360489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = t + 15, 2*w = -t - 6. Suppose t = 2*h - 0 + 2. Sort h, -2, -5 in increasing order.\nAnswer: -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(42\/8). What is the closest to 0.1 in z, -3, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a hour?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/736 and 57\/448?\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - y + 13 = 0, 0 = -4*z + z - 4*y. Suppose -z*c - 100 = -0*c. Let w = 35 + c. Solve -j + w = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 + 9 = 0. List the prime factors of 24 - 2*3\/n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20271, 40481, 60691, 80901, 101111, 121321?\nAnswer: 141531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -52, -3, 6, -4 in descending order.\nAnswer: 6, 5, -3, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 11:52 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 103083 (c) 0.2 (d) -0.5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 11. Solve -z - 3 = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101110202022 - -121?\nAnswer: 101110202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/3971415 and 92\/1575.\nAnswer: 59571225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r + 168 = 4*w, w - 27 = -3*r. Suppose -3*t + 0*t = -w. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 15 = 19*k + 4*q, -3*k = -q - 20. Solve k*d = -9 - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlt when three letters picked without replacement from llt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-28) + (-21)\/4. Let q(c) = 10*c + 4. Let p(j) = 5*j + 2. Calculate t*p(b) + 3*q(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -7709\nAnswer: 215852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-6)*k**13\/k)\/(k**(-2\/9))**(1\/13) assuming k is positive.\nAnswer: k**(2342\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 69, 3, -4, 10 in ascending order.\nAnswer: -4, -1, 3, 5, 10, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24 + -30)*1\/(2\/157). Let b = -218 - c. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7738981*b*k**4 + 2*b*k**3 - 6413*b*k**2 - 889*k**2 wrt k?\nAnswer: 185735544*b*k + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let w be s(-4). Suppose -k - i - 71 = 0, -72 = 2*k + w*i + 64. What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 32 + 30)*(-2 - 30*y - 1 + 29*y) - 5 - y + 5 in the form o*y + l and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30c (base 16) to base 12\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t - 15*t + 5*t - 1 + (-2 + 2 + 4)*(4 - 4 - 4*t) in the form b + l*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(119)\/(sqrt(28)\/sqrt(4)*-3) + 2)*2)**2.\nAnswer: -16*sqrt(17)\/3 + 212\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**3 - 8*p**3 - 4*p**3)*(15919*p - 383*p**2 - 15919*p).\nAnswer: 2298*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1415 = -4*d + 9*d. Is d a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = -t + 4*t, -5*t = v + 16. Let w = -15 - -18. Solve p + 14 = 2*p + v*m, 4*m = -w*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/(-88))\/((-10)\/(((-8)\/(-10))\/(189\/630)))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7415 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -18.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 6*t**2 + 4. Let n be d(6). Suppose n*i + i - 1115 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**2))**(14\/3)*r**(5\/4)\/(((r*r*(r\/(r*r*r*r**2*r)*r)\/r*r*r*r)\/r*r)\/r)*((r\/(((r*r**(-4))\/r)\/r))**40)**(-1\/7) assuming r is positive.\nAnswer: r**(-1907\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -537 + 561. Suppose z - c = 12, -2*z = -5*c - 3 - 18. What is the remainder when q is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttpttppttptttp. What is prob of picking 3 t and 1 p?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139487 - 56565. Suppose -f = -60*r + 1540018. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 109.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b*t**2 - 34*b*t + 2*b + 4326*t**2 - 3060628 with respect to t.\nAnswer: 18*b*t - 34*b + 8652*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 0*x + 0*x - 2*x**2. Let n(t) = 168*t**2 - 72*t + 72. Let j(a) = 26*a**2 - 11*a + 11. Let u(l) = 72*j(l) - 11*n(l). Determine u(c(w)).\nAnswer: 96*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 380946089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s**4\/3 - 1274*s**3\/9 - 2024*s**2\/9 - 574*s\/9 - 16\/9 = 0.\nAnswer: -1, -1\/3, -1\/32, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1657 * 0.34.\nAnswer: 0.056338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(44\/((-44)\/(-4)))*18\/63.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((-42)\/224)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, s: 3, a: 6, p: 4}. Give prob of picking 1 a and 2 p.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4637*w + 264349. Determine y(57).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 528, 1, -21, 27 in ascending order.\nAnswer: -21, 1, 27, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2. Let g(f) = 2*f - 21009. Calculate g(y(w)).\nAnswer: -2*w**2 - 21009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 39*k - 977. Calculate p(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0, 6, 99 in descending order.\nAnswer: 99, 6, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62181*b**2 - b - 111857*b**2 - 73101*b**2 + 56291*b**2.\nAnswer: -190848*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 4) + 5 - 0. Suppose 3*a + 88 = s*t - a, -3*t + 5*a + 133 = 0. Suppose -2*o + 102 + t = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(-1)\/(5\/(-60)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 0.1 (c) 5 (d) 0.5 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/(-20) + -3 - 6\/(-8). Let -8\/7*m**4 + a*m**2 + 6\/7*m**5 + 0*m + 0 + 2\/7*m**3 = 0. Calculate m.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 50\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/148 and (-54)\/(-360) + 2\/(-4)*6.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1568)*-1 + -1 - 5*(-3 + -2*sqrt(2048)))*4.\nAnswer: 56 + 1056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4 - 63*j**3 + 637*j**2 + 33459*j + 32760 = 0.\nAnswer: -65, -21, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2 - 57\/7*g + 50\/7 = 0. Calculate g.\nAnswer: 1, 50\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 20 = 55. Suppose -2 = -d*s - j, 2*j = 5*s + 1 - 19. Factor 0 - 3\/4*l**s + 3\/4*l.\nAnswer: -3*l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*m + 0*m**3 + m**3 - 213*m - 183*m + 619*m.\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1575 + 332324\/211. Let a = -1485\/1688 - t. Calculate the common denominator of -8\/5 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302203*k**2*l**2 - k*l**2 - 7*k*l + 2*l**2 + 270 wrt k?\nAnswer: -604406*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -169492 and 891.\nAnswer: -168601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 8:28 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 28\/3220*-1030.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 14) in base 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249.6 - 247. What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i**4 - 34025*i**3 + 460990*i**2 - 580840*i - 409920 = 0. What is i?\nAnswer: -3416, -1\/2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u**2 - 5*u + 12. Let o be i(3). Let g = o + -57. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) + 18\/(-63). Solve 3*m + k*u - 14 = u, -5*u = -5*m + 30 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 1:01 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/7826 and -3\/205712.\nAnswer: 1439984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b = 12*b + 46 - 118 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 77.34843ng?\nAnswer: 0.00000000007734843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*f - 2*f. Let o = f - 10. Calculate the remainder when 15 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (76 - 67) + (-2 - -6) + -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/17604 and -1\/7824.\nAnswer: 70416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -212878 (base 10) to base 14\nAnswer: -57818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242394, 242250, 242016, 241698, 241302, 240834?\nAnswer: 240300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 738*i + 26569. Calculate g(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1\/2 (c) -5\/3 (d) 1 (e) -7\/6 (f) -2\/17 (g) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(9345\/14))\/(13\/(-65))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -25. Let r be ((-12)\/a)\/((-18)\/84). Let l be (r\/4 + 2)*2. Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 21*k + 1. Let d be m(6). Let g = 154 - d. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2375 by 2.\nAnswer: -2375\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from cippcppppppxx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5955, -21611, -46965, -82017?\n\"Answer: -4849*a**2 - 1109*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 10)*60\/(-21). Solve 0 = -4*c + r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58.19 - -58. Let r = o - -81.19. Let f = r + -81.2. What is the second biggest value in f, 13, -1\/2, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 1:11 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1909, 5, -0.7, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + 299\/(-52) - 5460\/(-156)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7902 by 6.\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (181 - -6) + 9 + -6 and 14.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/d**(-2\/3)))\/d)\/d)**9)**(-16)*(((d*d\/((d\/(d*d**(-2\/5)))\/d))\/d)\/d**2)\/(d*d**(-1))**(-29) assuming d is positive.\nAnswer: d**(1918\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -3*w + w + 169 - 199, -8*h = w + 59 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -264, -272, -294, -336, -404?\n\"Answer: -o**3 - o**2 + 2*o - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:02 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1891, -2138, -2385, -2632, -2879, -3126?\n\"Answer: -247*z - 1644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*a + 830045, -a = 21*f - 26*f + 4150414. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghig when four letters picked without replacement from lgcldlidghlhdghddl.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -5, -4, 0.0595?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1460)\/8)\/(5*1\/10). Let c = o - -375. Calculate the smallest common multiple of c and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 11*f**2 + 10*f + 4. Let u be ((-30)\/(-9))\/(2\/(-6)). Let o be m(u). Calculate the greatest common divisor of o and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/21)\/4*54\/12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, v: 5}. What is prob of sequence wv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:03 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide ((-144)\/(-192))\/((-1)\/(-5700))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 6*z + 10. Let x be v(8). Let f(g) = -g - 4. Let w be f(x). Suppose 14 = w*c - 6. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1866\/(-24) + 1\/(-4). What is the tens digit of 104\/y*(594\/4)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 852? (a) 3 (b) 0.4 (c) -0.04 (d) 3\/8 (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, 0, -2283, 1\/9, 3, -3, -0.09?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69 - 1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4356*w**4 - 3177*w**2 wrt w?\nAnswer: 104544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9621.513kg in tonnes?\nAnswer: 9.621513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-325)\/702*-6*(-9)\/(-30)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 24 - (-1 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*-2*4 - sqrt(90))\/(-3*sqrt(605)))\/(-3*sqrt(48)\/(sqrt(392)*1)*-2).\nAnswer: 7*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-64 - (10 + (18 - 12 - 15) + -14))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/(2\/4). Suppose -1 - g = -2*u. Suppose -26569722 + 569702 = -5*i - 5*c, u*i + 5*c = 10400020. What is i rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -378, -379, -380, -381, -382?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + v - 10 + 2*v. Let o be s(-10). Solve o*w + 2\/5 - 2\/5*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1189 and 2?\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, x: 1, q: 2, t: 6, d: 4}. What is prob of picking 2 c, 1 t, and 1 d?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 182348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -22, -3.\nAnswer: -22, -7, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/5 + 12146*g**2\/5 + 2110052*g\/5 = 0. Calculate g.\nAnswer: -5894, -179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 706575 and 12900.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/107616 and 149\/860928?\nAnswer: 860928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604450 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + 116. Let b = t + -237. Let m = -11 + 6. What is the closest to 2 in -1\/4, m, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2272*u**2. Let x(o) = 18*o**2. Give t(x(g)).\nAnswer: 736128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18088 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279.36 - 261.36. What is the fifth smallest value in k, 2\/9, 2\/11, -0.1, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 7*b**2 + 3*b + 9. What is the tens digit of z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4556975*c**5 - 235*c - 5501?\nAnswer: 91139500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1940*t**2 + 2*t - 4. Let a be z(3). Let o = -8721 + a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*v**3*x**2 + 44849*v**3*x + 3*v**3 + 3363*v with respect to x.\nAnswer: -12*v**3*x + 44849*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 184 + -136. Let a = -51 + t. Put a, -2, -1, -1\/7 in descending order.\nAnswer: -1\/7, -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/12*2*(-37)\/(7215\/39)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*m - 1, -8 = -3*h - 2*m + 15. Solve 3*d - 4 = -5*i - 44, -3*d + 10 = -h*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-66 + 10 + 9).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:07 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8360 is divided by 182.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3238556 (base 11) to base 13\nAnswer: -1243a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/2 + 2761*j**2 - 4288*j - 1. Find the first derivative of f(x) wrt x.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2820 and 282.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35680 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2100\/(-98) - 1) + 8 - -15. Let -20\/7*d**2 - 12\/7 - 4*d - o*d**3 = 0. What is d?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 5\/(-10)*8. Let l(h) = -7 - h - u*h - 4*h + 5*h. Give l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:10 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 37*a - 9. Let l(c) = -2*c**2 - 30*c - 14. Determine 2*l(r) - 3*u(r).\nAnswer: 2*r**2 + 51*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1218\/(-63)*(-89 - 1). What is o rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32908 and -309?\nAnswer: -10168572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + s + 2. Let k(d) = -d**3 - 40*d**2 + 502*d - 15. Let g be k(10). Determine b(g).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183540 and 9660.\nAnswer: 183540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.7 (c) 5 (d) -5\/17 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*n + 12 = 0, 5 = -j - 3*n + n. Let a be j + 118\/38 + -4. What is the closest to -1 in a, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1325577 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0845 - -0.3035. Let k = n - 0.38968. What is k rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 69\/161 - (-32)\/7. Solve b = 3*v + 6 + i, 0 = b + 4*v + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) + 1 + sqrt(19) + 2)**2.\nAnswer: 12*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.817708 meters?\nAnswer: 0.002817708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (10 + -8 - (1 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/16317653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42081 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r + 15*r + r + 5*r - 13*r - 13*r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from lqq?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, f: 1, w: 3}. Give prob of picking 1 f and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q - 4 + 4 + 5*q - 2*q - 2*q + 0*q - 2*q + q + (0 + 0 - 2*q)*(4 + 1 - 3))*(3 - 2 - 2) + (2 - 1 - 3)*(48*q + 30*q - 13*q) to j + x*q and give x.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2080\/(-280))\/((-2)\/7). What is the greatest common divisor of q and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 3. Let t be g(-2). Is 13 + ((-20)\/(-4) - t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530, -430, -264, -32, 266?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83396 divided by -6?\nAnswer: -41698\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Suppose 3*z = -d*l + 4*l - 15, -2*z = 3*l + 10. Suppose l = -2*o - v + 13, -2*o + v = o - 27. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 98, 1, 161, 4 in ascending order.\nAnswer: -5, 1, 4, 98, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpdj when four letters picked without replacement from ppjdddjjdppjpj?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6386232 to the power of 1\/2, to the nearest integer?\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7515.57165 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324 by 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1631 + 28*x + 1631.\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/154 and 41\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*120\/225 + (-121110)\/(-37675).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - (-20465)\/15. Suppose 25*y = 29*y - q. List the prime factors of y.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2. Suppose -q - 3*k + 110 = 0, -31 = 2*q + 4*k - 253. Let z = q + -110. Let u(l) = -5*l + 6*l + z*l + 6*l. What is a(u(r))?\nAnswer: 200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -378598*c**3 + 5*c**2 - 6069285 with respect to c.\nAnswer: -1135794*c**2 + 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (14 + -21 - (-18 - -44))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 720161677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101711512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7036.\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 502833722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 + 2*l**2 + 11*l**2 - 3 + 6*l**3 + 11*l - 2. What is y(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Suppose 5*x = s + 45, -x = z*s - 14 - 11. Suppose i + i = 140. Calculate the greatest common factor of x and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-852)\/(-72) + 2\/12. Solve 3*b - r + 0 = 5*i, 0 = i - b + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 + -100. Suppose 35*f + 15*f = 1909 + 2091. What is the greatest common factor of f and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 5, u: 1, e: 3}. What is prob of picking 1 u and 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-6 + 119\/14)*2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*b + 28 = 0, 0 = -20*m + 25*m - b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203475 + 103908 + 102841)*(-1 + 0 - 2)*(h + 0*h - 3*h).\nAnswer: 19644*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*a - 51*a = -3300 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880*t - 512 - 64 = -904*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 5:54 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3700406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -48. Solve -3*s + 8*s + 9 = -l*r, -2*r + 5*s + 33 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w - 8. Let a be t(-3). What is the closest to -0.2 in a, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 0 (c) -1 (d) 0.82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34289 and 542?\nAnswer: 18584638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*6\/(-36)*6*22\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.79374 millilitres to litres.\nAnswer: 0.00479374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -9812*g + 2. Let y(x) = 1136*x. What is y(m(s))?\nAnswer: -11146432*s + 2272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -13) + (1 + (-1 - 17) - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -1\/2, 260?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -12, -0.12, 5, -3739 in decreasing order.\nAnswer: 5, -0.12, -2\/3, -12, -3739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -124411?\nAnswer: 124430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2. Let y(m) = 22671*m**2 + 3607*m. Determine y(j(c)).\nAnswer: 204039*c**4 - 10821*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121)*2 - sqrt(121) - sqrt(121)) + sqrt(121))*-5)\/sqrt(11) - (sqrt(891) + 2)*1.\nAnswer: -14*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 4, 12, -1, -3 in descending order.\nAnswer: 31, 12, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**17\/((y\/(y\/(y*y*(y**(12\/7)*y)\/y)))\/y) assuming y is positive.\nAnswer: y**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34005 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/(7\/(-6) + 1). Let b be 616\/(-132) + q\/6. Let m(s) = -s**2 - 8*s - 5. Give m(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((2*sqrt(475) - sqrt(475))*1)**2 + -5)*-1.\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219.48 - 218.48. Which is greater: 31\/77 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9137 - -9134. Let i(b) = -3*b. Let u(d) = d. Let r(t) = 3*t. Let s(g) = -r(g) + u(g). Determine n*i(k) + 2*s(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -5 (c) 30 (d) -1 (e) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - h**2 + 2*h - 1. Let w be (0 - 0)*3\/9 + -2. Let x = -17 - -18. What is the least common multiple of y(w) and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-28 + -2) - ((-13 - -24) + -10)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90062 divided by 45031.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011622524059 to five dps.\nAnswer: -0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16066 - 81069 = -d + 3*c, -5*d = 3*c - 325087. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a factor of 168256224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*o + 11, 2*q = -3*o - 3*q - 7. Let c be o\/2 - 21\/6. Let j(g) = -g**2 + 4. Calculate j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose b = -4*p + 149 + 3. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (1416\/(-1062))\/(2\/78).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19b336 (base 15) in base 12?\nAnswer: -505043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + -1 + 5)*-6.\nAnswer: -96 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4224\/20 - (-1)\/(-5). Is y - -1 - (1 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 18. Suppose 3*t + 5*o - 16 = p, -4*o + 4 = -5*t + 6. Suppose -3*n + 31202 = x - t*n, -n - 93598 = -3*x. Round x to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7141 = -4*d + 7717, -137 = -c - 2*d. Solve c - 156 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 2, c: 1, l: 1, e: 1}. What is prob of sequence zc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 37. Suppose h = -0*d + 11*d - 242. What is the remainder when d is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 547*l**2 - 113*l + 90*l - 550*l**2. Calculate n(-10).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15431 is divided by 2163.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.95 - -0.35. Let u = s + 4.6. Which is the third biggest value? (a) u (b) -4 (c) 3\/4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 80636, 4.\nAnswer: -3, 3, 4, 80636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 4. Let g be h(0). Suppose -g*y + 27 = -y. Let f(w) = 35*w**2 - w. Let b be f(-1). What is the greatest common factor of b and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 20*y + 3. Let l(x) = -8*x**2 + 3*x. Determine l(k(v)).\nAnswer: -3200*v**2 - 900*v - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 - l**2*o**3 - 5430*l**2*o + 178*l*o**3 - 2*l*o**2 + 2*o**3 + 222 wrt l?\nAnswer: 12*l**2 - 2*o**3 - 10860*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 22 = -7. Let f be -1 - -2 - (y - 5). Suppose -2*u + f = 3*x, x = -4*u + 6*x + 11. Solve -2*t + 3*t = -5*p - 19, -u*t = 2*p + 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lala when four letters picked without replacement from {a: 5, v: 2, l: 2}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 538, 562, 606, 676, 778?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 57 = -15*n. Let s(x) = -x**2 - x + 10. Calculate the remainder when n is divided by s(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117884414 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -111293 equal to -111290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 18*l. Let b be z(1). Suppose 4*a + 5*q - 33 = 0, b = -4*a + 5*q + 1. Suppose -3*y = 3*r - 8*r - 10, y - a = 2*r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/312 and -29\/237042.\nAnswer: 948168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**3\/3 - 2*a. Let j(x) = 2*x. Determine y(j(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -37. Suppose -8*p = -9*p + i. What is the highest common divisor of 64 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, -38, -263, -776, -1691, -3122, -5183?\n\"Answer: -19*m**3 + 27*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000464 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 - -160. Which is bigger: k or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) -5 (c) -104 (d) 6 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 - 16*c**2 + 13*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*12\/132*(-2)\/(-5)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 17746787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14*h - 155. Let s(q) = 17*q + 156. Determine -5*k(t) - 4*s(t).\nAnswer: 2*t + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4\/m)\/m**(-9))**(-18)\/(m*m*m\/(m\/(m**(-7)*m))*m**(-9)*m)**11 assuming m is positive.\nAnswer: m**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 3*k - 1. Let r be u(4). Put -1, -3, r in increasing order.\nAnswer: r, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 136*b**2 + 138*b.\nAnswer: -2*b*(b - 1)*(b + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 10 - 628*c**2 + 2*c + 629*c**2)*(-6*c + 6*c + 3*c**3).\nAnswer: 3*c**5 + 6*c**4 + 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63, -128, -195, -264?\n\"Answer: -g**2 - 62*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/15 and -149\/3732.\nAnswer: 18660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 6057, 2\/9, -2\/93?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*o + 2*s + 27, -3*s = -o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.4. What is the smallest value in -0.1, 1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 18 = 3*a, -12*t + 9 = -5*a + 80 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) -11 (c) -2\/19 (d) -0.0492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5148518 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:03 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126339133 is divided by 248?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*b - 8, 24 = v - 3*v + 5*b. Let x = v - -10. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -8. Let o = -1210 + 1200. Let m be (o\/g)\/(3\/60). What is the highest common divisor of 88 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128089 divided by -1.\nAnswer: -128089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 7*p**5 - 117042*p**4 + 492059513*p**3 - 23522341982*p**2 + 146283695808*p - 39886626304 = 0.\nAnswer: 2\/7, 7, 41, 8336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-226)\/(-10) - 2 - 1)\/((-348)\/19140). Which is smaller: b or -1070?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/45, 1.6, -18 in ascending order.\nAnswer: -18, -1\/45, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37441605595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 34 = i, -3*i = i - 4*b - 96. Let w = i - 29. Let r(h) be the third derivative of -h**6\/120 - h**5\/20 - h**4\/8 - h**3\/6 + h**2. Give r(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -690153*p**4 - 181*p**2 - 638*p + 109628 wrt p.\nAnswer: -8281836*p**2 - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3\/13 + 756830*g**2\/13 + 8*g\/13 - 3027320\/13 = 0.\nAnswer: -2, 2, 378415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 1, z: 1, j: 1, d: 2, q: 1}. What is prob of sequence dujq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -1\/3 (c) -3\/13 (d) -5 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 23*x - 24 = 24*x, -3*x = -5*a + 23. Suppose 6 = -3*i + 18. Solve -5*b + i = -a*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let n = -2957\/11 - -269. Let q = 17 - 16.6. Which is the nearest to f? (a) -1 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -95, 10, 2, 12, 6.\nAnswer: -95, -10, -2, 2, 6, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**3 + 6*r + 3. Let w(n) be the third derivative of 3*n**6\/40 - 11*n**4\/24 - 7*n**3\/6 + 7*n**2 + n - 135. What is 14*k(g) + 6*w(g)?\nAnswer: -2*g**3 + 18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 705996278 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/4 + i**4 - 3*i. What is the third derivative of q(a) wrt a?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38323\/7 - -5475. What is the nearest to -2 in -4, m, 0.043?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19781 + 16162 = -1471*v + 2176*v - 3537 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1101110111?\nAnswer: 1101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1866, 1867, 1868, 1869?\nAnswer: 1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/778?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 16}. What is prob of picking 2 z and 1 d?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 28 = 5*v, -4*v - 2*s - 34 = -20. Let i(y) = -2*y**3 - 6*y**2 - 6*y - 6. Let k(h) = h**2 + h + 1. Calculate v*i(g) - 30*k(g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271347 = 49*k - 273307 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 55*w - 1545845 = 1149082. List the prime factors of w.\nAnswer: 3, 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*l + 35 = 0, 2*l + 8 = c + 2. Let d = -2 + 4. Let u = d - c. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1. Let j = 14 + -19. Let o(m) = -m + 6. Give j*p(l) - o(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/4389 and -141\/14234990?\nAnswer: 42704970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvylvlvvlyllv. What is prob of sequence lv?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0954 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 31749 = -0*m - 3*m, 0 = -r. Let d = 15688 - m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)\/y**5)\/((y\/(y**(-6)\/y))\/y**(-3\/10)) assuming y is positive.\nAnswer: y**(-153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372519 is divided by 8157.\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(66)*2*-4)\/(-6*sqrt(24)\/sqrt(4)*5))**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 266 + 266 + 2*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3349460 - -1.612?\nAnswer: -3349458.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/111753 and -133\/612?\nAnswer: 7599204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:23 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198072 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 11) in base 14?\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/((-8100)\/(-2130)) - (-4)\/30) + 4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 30 + 17 - 436*o + 6*o**3 - 605*o)*(o + o + o).\nAnswer: 18*o**4 - 3123*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 5:40 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (598\/(-6))\/(8\/240*-2*1) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 + 1170120?\nAnswer: 1170155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -258 - -258.00000231. What is i rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2813 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3152 + 3182. What is the lowest common multiple of 510 and q?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 + 11. Let r = 7 - w. Sort r, 1\/4, -3\/5 in ascending order.\nAnswer: -3\/5, r, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 8*o**5 + 191438*o**4 - 813740*o**3 + 382990*o**2 + 1100952*o - 287208 = 0.\nAnswer: -23934, -1, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83 - (-260 - -146)) + (-7 - 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*s - 55 + 91 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 9244842 and 9244852 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9385 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a + 10?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28210 or -2?\nAnswer: -28210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2\/9*v**2 + 0 + 0*v + 0*v**3 + 2\/9*v**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 423 - 558. Let r = 138 + t. Does -0.08 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 5*o - 822. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -865.728 + 866. Let z = 0.228 + a. Let v be 1\/(-2)*(-8)\/10. What is the closest to 6 in v, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*c + b + 16, -4*c - b = 4. Let j(x) = x - 3. Let m be j(c). Let r be m*-1*10\/3. Solve 8 = -4*g - 3*t, 0 = 5*g - r*g - 5*t - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/4))**(-2\/9)*(p**0)**(17\/3)*(p**(1\/4)*p**(2\/5))**(7\/9) assuming p is positive.\nAnswer: p**(1\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-54)*4)\/((-8)\/72)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 995?\nAnswer: -497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 52292. Let h be (-2)\/j*-50788 + 4. Let l = 2\/769 + h. Sort 3, -3\/7, l in decreasing order.\nAnswer: 3, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 132*k + 972. Calculate o(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*k - 38 = 0, p = 27*k - 30*k - 20. Let b(l) = -l**2 - 4*l + 5. Let r be b(-5). Sort 3, r, p, 1 in ascending order.\nAnswer: p, r, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-5) + 2\/5. Calculate the lowest common multiple of 4 and g - (-8)\/((-8)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(1\/(-45)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 6 - 6)*(-2 + 11 + 3)*(5 - 10 - 14).\nAnswer: -1140*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-2*sqrt(832) + 1 - sqrt(832)) + (-2 + sqrt(832) + 1 + sqrt(832) - sqrt(832)) + 2 + 1*sqrt(832) + -2)*4)**2.\nAnswer: 13317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p - 2. Let i be 0 - (2 + (2 - 9)). Let x be s(i). What is the units digit of x + 6\/(-9)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d**2 + 8*d - 3. Let q be v(7). Suppose -q + 3 = u. Calculate the common denominator of (-68)\/18 + u\/6 and 73\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**8\/5600 - d**7\/700 - d**6\/300 + 37*d**4\/12 + 11*d. Let l(j) be the third derivative of q(j). Factor l(y).\nAnswer: -6*y*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235906?\nAnswer: 2, 7, 43, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167 + 166.9. Let x = 8 - 9. What is the nearest to x in d, 2, 0.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33 and -53.7.\nAnswer: -86.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - n + 265. Suppose 0*s + 1 = s. Let t be 0*((-9)\/6 + s). Is q(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*t + 13. Let g = -43\/20 - -7\/5. Which is the third biggest value? (a) g (b) 7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3132361 is divided by 7119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4*5*16. Suppose 2*w - 22 - n = 0. Suppose -4*y + 33 = -3*q, w = 2*y - 0*q - 3*q. Solve x - y = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212114 + -5783.9?\nAnswer: 206330.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*t + 3 = 0, 2*v = -3*t - 14 + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 264, 537, 810, 1083?\n\"Answer: 273*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -30 + 5*y + 0*y + y - 16. Let m be o(8). Solve 4*x + 12 = -g, -2*x = -m*g + 1 - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 3. Calculate the remainder when b(-7) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 3 - 6 + 1 + (2 + 1 - 2)*(-2 - 2*r + 2).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -24. Are j and 2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/4)\/((-2)\/(-4)). Let s be -10*1\/f*1. Let q = -4.3 - -4. Which is the closest to 1\/3? (a) q (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - -0.03. Let u = g - -3.11. Let w = 24 - 20. Which is the smallest value? (a) 6 (b) w (c) -3\/5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1557?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 + 5*l - 1. Let b(m) = -20*m**2 - 14*m + 2. Let v(z) = -5*b(z) - 14*r(z). Suppose -5*g + 2*g = -6. Let x be v(g). Solve -5*w + 3 = -x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*b - 12*b + 405 = 0. What is the fifth biggest value in -0.4, 0.097, -0.5, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (10 - 10)\/5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbsypbbp. Give prob of sequence bpy.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*q - 18300006 = 0, 4*o + 3*q - 18934233 = 5465776. What is o rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (10 - 76\/6) - (4 - 3). Let o = 2 - 1.9. Put o, -26, w, 0.3 in descending order.\nAnswer: w, 0.3, o, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*s - 6. Let m be ((-48)\/18 - -3)*0. Suppose b + m*b + 2*y + s = 0, -3*b + 5 = -2*y. Sort b, -10, -4 in descending order.\nAnswer: b, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r + 5*q, -5*r + 6 = -4*q - 23. Suppose 2 = r*o - 3. Is (-1*o)\/((-9)\/2277) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 752*x**2 - 1503*x**2 - 2 + 750*x**2 - 431*x + 5221*x**3 - 122*x wrt x.\nAnswer: 31326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 23, 11, -69, -253, -577, -1077?\nAnswer: -1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2452 in descending order.\nAnswer: 2452, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 9*f + 1. Let z be 2 + ((-4)\/5)\/(4\/10). Suppose i - 2*i - 10 = u, -5*u - 20 = z. Calculate k(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 158 = -9*h. Suppose -17 = -3*j + h. Let x = j - 1. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.692071ug to milligrams.\nAnswer: 0.007692071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -977 + 1383. Calculate the least common multiple of 2 and v.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1\/19 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-644)\/2300)\/(240\/(-4500)).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 23 = -4*p. Suppose -4*s = -7*s + p. Let t be (57\/21 - (-6)\/21) + 25. What is the greatest common divisor of s and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-477)\/405 - (-51)\/(-85))*6*9\/(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -24*h + 1188. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110221300 (base 5) in base 9?\nAnswer: -805508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 67. Let a be d\/(270\/55) - 4\/(-18). Let b(n) = -22*n**3 + 2*n**2 - n - 2. Let l be b(a). What is the greatest common divisor of l and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 6320*d + 1847808.\nAnswer: -(d - 19248)*(d + 288)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417947 is divided by 205?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, 3698, 12485, 29582, 57755, 99770?\nAnswer: 158393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240911 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -16. Let x = m + -3. Let f = -0.04 + 0.14. Which is the nearest to 0.1? (a) x (b) f (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268 + -268.3. Which is the nearest to 0.2? (a) f (b) 2 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 38. Suppose q*r = 4*d + 688, 4*d = -r - 29 + 216. Suppose 7 = -7*v + r. Calculate the greatest common factor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 + 81. What is the third derivative of -2*g**v - 11*g**2 - 9*g**3 - 15*g**3 wrt g?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2400, 2367, 2260, 2043, 1680, 1135, 372, -645?\nAnswer: -1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2904 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1872) + -4.\nAnswer: -9 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (342\/(-19))\/36*-4388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182311\/174 - 6293\/6. Calculate the common denominator of k and 37\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 284.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away -3.74?\nAnswer: 17.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 25, 33, 37, 37, 33?\n\"Answer: -2*t**2 + 18*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 14. Let k be t(11). Suppose s = -2*s - 3*x + 9, 4*x - 18 = 2*s. What is the remainder when 15 is divided by k + s + -5 + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/5, -0.2, 1, 4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24391 or -24390?\nAnswer: -24391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7 + 0 + j + 0 + 3*j. Is q(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -3 (c) -57 (d) -2\/9 (e) 4879 (f) -2\/3 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 10:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.5 (b) 15302 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 7*f**2 - 2*f + 3. Suppose 0 = -5*p + p, 28 = 4*u - 3*p. Let d be q(u). Let k = 35 + d. 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 are the prime factors of ((-1)\/(-3))\/(((-54)\/(-3))\/972)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 54 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 133.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrz when three letters picked without replacement from rggzgjjjgzzggz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3468167?\nAnswer: 3468167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26308 is divided by 129.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 22476?\nAnswer: 157332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7930a5 (base 12) to base 16.\nAnswer: -1d81bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454566?\nAnswer: 2, 3, 7, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6 - 4945\/2709 - 4\/(-9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 137, 2\/21, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + u**3 + 1816*u**2 + 6 - 1813*u**2)*(1 - 1 - 1).\nAnswer: -u**3 - 3*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*o + 3. Let c be (-3 - (-10)\/o)\/((-2)\/6). Let f be (c - -501)\/((14\/1084)\/(-7)). Round f to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -115.45. Let h = k - 0.54999957. Round h to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166*g - 1891 - 2188 + 1589 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 9:54 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 - 113*x**2 - 58*x - 10. Let k(w) = -3*w**3 + 75*w**2 + 39*w + 7. What is 7*b(n) + 10*k(n)?\nAnswer: -2*n**3 - 41*n**2 - 16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(847) + 1 - sqrt(847)) + 5 + ((-1 + sqrt(847) + sqrt(847) + 1)**2 + sqrt(847))*-2)*1.\nAnswer: -6766 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -1 + (-8 - -24) + (2 - (1 - 12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1037342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 16*f**2 + 10*f + 3. Let z be o(0). Suppose -32\/3 - 18*s**z + 184\/3*s - 56*s**2 = 0. Calculate s.\nAnswer: -4, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/18093 + -4999723\/54279. Which is bigger: -93 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 177774*q\/7 - 4089860\/7.\nAnswer: 2*(q - 23)*(q + 88910)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -133 times 12.346\nAnswer: -1642.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 4*o - 6. Let v be k(5). Let i be 1 - -2 - (v - 0). Let q be i*(-1)\/(-6)*3. Solve d - q = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 103\/6 (b) -658 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52665966, 52665966, 52665954, 52665924, 52665870, 52665786, 52665666?\nAnswer: 52665504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*p + 439*p + 5 = 0. What is the second biggest value in 2, p, -11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 183854 and 0.4.\nAnswer: 183854.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 23 = 3*b, 5*i + 30 = 4*b + b. What is the closest to b in -4, -0.1, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137966 - 137965.1999944. Let y = d - 0.8. Round y to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71713416*y**2 - 76085867*y.\nAnswer: -143426832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1638347.0297 + -1638837. Let h = b + 490. What is h rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, z: 7, w: 2}. Give prob of sequence jjjw.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27094 + -27058. Solve -3*k + g*w - 35*w - 6 = 0, w = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, e: 1, w: 1, g: 2}. Give prob of sequence eg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-75)*1\/(-6)*2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6639834602 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**4 + 0*x**4 + 0*x**4 + (-3*x**3 + x**3 + 4*x**3)*(-22*x + 139 - 139) to the form f*x**2 + o*x**4 + u + z*x + p*x**3 and give o.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -62*1\/11 - (-15)\/3. Is h >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*j - 1112 + 1112)*(j**2 - 1 - 3*j**2 + 2).\nAnswer: 166*j**3 - 83*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - z**2 + 2*z**2 - 3*z**2 + 2*z**2 + (7*z + 134 - 134)*(4*z - 4*z - z))*(9 - 1 + 1).\nAnswer: -63*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 2\/3, -3\/3529?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00856335 rounded to six decimal places?\nAnswer: 0.008563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r + 26407 - 109672. Does 102 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqpyppggpyyypyg. What is prob of sequence gpq?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*(-3)\/15)\/412. Let c = z + -32701\/1545. Find the common denominator of -89\/22 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (1 + (5 - 3)))*1. Let f = -6 + 8. Sort 0, s, f in ascending order.\nAnswer: s, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let x(r) = -50076*r. What is v(x(n))?\nAnswer: -50076*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79.6 - 80. Let z = -1.49 + -0.01. Suppose -x = -4*x + 2*h - 1, -4*x - 7 = 3*h. What is the closest to x in g, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 20 = -3*h, -38 = -5*h - 4*w. Suppose h*d = 3*d + 18. Solve 0 = d*l - 2*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 24*p - 80. Let f(i) = -2*i**2 + 47*i - 158. Let h(b) = -2*f(b) + 5*l(b). Differentiate h(y) with respect to y.\nAnswer: -2*y + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 2 o when four letters picked without replacement from yqyoyyyyyyyyoqyoqo.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 0.5, 55, -52\/5 in ascending order.\nAnswer: -52\/5, -6\/7, 0.5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -218, -2?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -10, -7.57, -14\/29 in decreasing order.\nAnswer: 1, -14\/29, -2, -7.57, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 6*c + 2. Let x(f) = -f**2 + 5*f + 2. Let z be x(7). Let q = z + 7. Is j(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145735534 by 2.\nAnswer: -72867767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 divided by 3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46265856794600\/14934 - 0\/(-3). Let b = s - 3098021773. Let q = -2\/2489 + b. Find the common denominator of q and 64\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*k**3 + 66052*j**2*k**2 - 80*j**2*k + 2702013*j*k**3 + 5*k**3 wrt k.\nAnswer: 6*j**2 + 16212078*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1523774, 1523833, 1523892?\n\"Answer: 59*x + 1523715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-13 - (8 - 3)) - (8 - 13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(4*sqrt(440)\/sqrt(90)*5 + -1).\nAnswer: -200*sqrt(11)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16278 + -178896\/11. Let h(t) = t**3 - 31*t**2 + 109*t - 12. Let r be h(27). Is r > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, 211 in ascending order.\nAnswer: -31, -4, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -54031*r**2. Let k(y) = -y. Give k(b(d)).\nAnswer: 54031*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 23*j - 29. What is the common denominator of -35\/6 and j - (-2766)\/675 - 14\/(-63)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -8. Let f be ((-12)\/10)\/(3\/(-10)). Let i = f + u. Let h(s) = s + 7. Determine h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 34 = -2*r, 54772*w - 54772*w - 2*r + 50 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 7. Let h(w) = -8*w + 13. Let y(j) = -3*j**2 + 3*j - 2. Let k be y(1). Let v(g) = k*h(g) - 5*i(g). Find the first derivative of v(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*i, 2*i - 82 = -5*m + 16. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1404)\/108 - 183\/(-12).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 45*j + 3897. What are the prime factors of l(0)?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/9)\/(3\/(-27)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 12 = -4*p + 3*a, 0 = -5*p - 3*a - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(330)\/(2*sqrt(11)))\/((sqrt(30)\/sqrt(5) + sqrt(6))*1).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = 4*h - 44, 0 = -4*h + 4*z + 36. Solve 22 = -5*p - h*x, -4*p + 10*x - 20 = 13*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Let p be (9\/6)\/((-15)\/(-20)). Suppose l*b = 2 + p. Solve -15 = -k - b*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249639 = 13*s + 95589. Round s to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*w - 15, -2*w - 4*t = -7 - 9. Suppose -3*j + w*p + p = -63, 4*j = p + 75. Let g = -1 + j. Solve -q - 4*u + 3 - 16 = 0, -3*q + g = -2*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3743 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3*t - 2*s**3 + 9*s**2*t - 4338*s**2 + s*t + 2072*s + 2*t - 148 wrt s.\nAnswer: -24*s*t - 12*s + 18*t - 8676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-120))\/(172\/(-860)*5\/4)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by -3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6446, 7, -5, -4, -2, -39 in ascending order.\nAnswer: -6446, -39, -5, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/546*42\/30*(-30)\/(-297).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-2)*(r*r*r\/(r\/(r\/r**2)))\/r**(-6) assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5*t)*(2144 - 700 - 455 + 4326).\nAnswer: -26575*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -953\/5, 1\/6, 170, -2\/361 in descending order.\nAnswer: 170, 1\/6, -2\/361, -953\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32871\/2 + 103253\/6. Let u = l - 795. Do u and -23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3724 - 2340. Let i = 13 + u. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 10747022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115602, -115727, -115852, -115977?\nAnswer: -116102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-30)*12\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - t**2 - 186*t - 1066. Calculate x(-6).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z**2 + 7*z - 31. Let w(a) = 24*a**2 + 11*a - 24. Let m(i) = 38*i**2 + 20*i - 47. Let t(h) = 3*m(h) - 5*w(h). Calculate 5*r(g) - 7*t(g).\nAnswer: -3*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/3*2\/(-4). Let m(a) = -6*a**3 + 6*a**2 - 5*a - 6. Let h(n) = 5*n**3 - 6*n**2 + 5*n + 5. Let u(r) = i*h(r) - 4*m(r). What is u(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from qnqnnnnn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**7\/840 + a**4\/24 - a**3\/3 + 4*a. Let w(k) be the second derivative of x(k). Let m = -4 - -3. Determine w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 4252061*b**3 - 10*b + 4252063*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + k + 1. Suppose 2*f + 85 = 4*n - 3*f, -5*n + 2*f + 85 = 0. Let j be n\/10 + 10\/(-4). Let r be y(j). Sort -5, r, 5.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910942.9 millimeters to kilometers.\nAnswer: 0.9109429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6884585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) 4\/15 (b) -1\/6 (c) 8 (d) 1\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 849*a = 854*a + 2979220. Let k = -184844 - a. Round k to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4536) - sqrt(4536)*-1)\/(-1*sqrt(128)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*o + 4 = 3*v, -v - o = -2. Suppose v = 5*k, m + 2*k + 0*k = 11. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76293991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 + 54 = -45*m. Solve -3 = g - m*a - 4, -5*g + 5 = -5*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -380*o + 310. Let u(f) = -2*f + 2. Let m(q) = c(q) - 4*u(q). What is the derivative of m(z) wrt z?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/3, -1\/2, -19, 62, 42, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 18*j + 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3341349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -13 - 0 - -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920989 rounded to the nearest one thousand?\nAnswer: 1921000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.45658 centuries in months?\nAnswer: 73747.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/6))**13 assuming r is positive.\nAnswer: r**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115.04 + 114. Let k = 3.04 + x. Which is the third biggest value? (a) 4 (b) k (c) 2\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 56*o - 3. Calculate z(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631*o + 20 = 626*o. What is the second smallest value in o, 34, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in 5\/19, 2\/11, -2?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (38\/(-8) + 3)*-48. Let r = 88 + x. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32615 or -32629?\nAnswer: -32629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43, -44, -45, -46, -47, -48?\n\"Answer: -o - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1719 divided by 1719.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/360 + g**5\/15 - g**4\/6 + 88*g**3\/3 + 44. Let w(c) be the third derivative of j(c). Calculate w(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291990 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = -p, 5 = -i - p - 3*p. Let a = 7 - -2. Suppose i*y = -4 + 1, 2*l = -y + a. Put -1, l, 4 in ascending order.\nAnswer: -1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41999.662 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388 divided by 2.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2)\/((-1)\/15). Find the second derivative of -13*c**4 + 16*c + 14*c**4 + 4*c - h*c**4 wrt c.\nAnswer: -168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1205*z + 6*z**3 + 1205*z.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49511*b - 49560*b - 833 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-14)\/(-6))*(8 + -7)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8*34*2. Suppose 0 = -z + 154 - 40. Let d = z + v. What is the highest common divisor of 42 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5, -2*b + 8 - 15 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 112 = 2*a, 218 = -0*a + 4*a - 3*x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.66 + 4.56. Let s = -25.74 - -29.776. Let h = n - s. Round h to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(6\/23)*u\/(u**8*u)*u*(u**(3\/10)\/u)\/u*u*u**(1\/18)\/u**3*(u**2)**42 assuming u is positive.\nAnswer: u**(75383\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -12794, 0.4, 8\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*a - 15 - 5 = 0, -12 = -4*a. Calculate the greatest common divisor of q and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 3*t**3\/2 - 20*t**2 - 2*t + 796. Let f(o) = 3*o - 13. Determine 7*f(p) - 2*q(p).\nAnswer: 3*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 61\/(-5) + (-1)\/(-5). Let w = k - -92. Does 32 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (8 - 10) + -16 + (-5 - -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3499, -3500, -3501?\n\"Answer: -b - 3498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 9*a**2 - 14*a**2 - 3*a**2.\nAnswer: -26*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -36*k - 11. What are the prime factors of q(-3)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2 - 293107455*h + 439661205.\nAnswer: -5*(h + 29310747)*(2*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*q + 131*q + 36*q + 187*q.\nAnswer: 253*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*v - 1806*v - 4180 = -638*v - 658*v for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, j: 5}. Give prob of picking 3 b.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 3 - (-1 + 5) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11888729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 6*d. Find the second derivative of 3*q**5 + 6*q - d*q**2 + 3*q**2 wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 0*i**4 - 62\/7*i**7 - 51*i + 0*i**5 - 2\/3*i**3 + 0*i**6 + 0*i**2 + 4. What is the third derivative of f(y) wrt y?\nAnswer: -7440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1681 + -1680.5. Let q = -0.1 + -0.9. What is the closest to -4 in u, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, 0.3, 0.5, 0.37 in descending order.\nAnswer: 0.5, 0.37, 0.3, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 2, e: 1, a: 1, c: 2}. Give prob of picking 1 g and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*m - 117 + 117 + (-3*m + 3*m + m)*(-2 + 3 - 3).\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 - -31) + 9 + 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 601127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.714475 microseconds in hours?\nAnswer: 0.0000000074206875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -15*d**3 - 6778*d**2 + 905*d + 452 = 0.\nAnswer: -452, -1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12190249, -12190248, -12190247, -12190246?\nAnswer: -12190245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - x - 1 - 753*x**3 - 2*x**2 + 752*x**3. Suppose -1 = 4*p - w - 6, 15 = 4*p - 3*w. Suppose -k + p = 2. Give c(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 312\/(-9)*33\/22. Let j = q + 43. Let i(r) = -r**3 - 10*r**2 - 11*r - 12. Give i(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25344900 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 102*u = 115500. What is the greatest common divisor of 88 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12157572 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 250*l - 8. Let j be u(6). Let d = 822 - j. Let t be (-7)\/((-35)\/d)*(-1)\/2. Round t to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85136 less than -4833.6?\nAnswer: 80302.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.306732.\nAnswer: 0.153366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 + 4*f - 3. Let x(v) = -9*v**2 - 49*v + 57*v + 4 + v**3 + 0*v**3 + 0*v**3. Let p be x(8). Give q(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3318814903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 115521 divided by -38507\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1613, 3194, 4741, 6254, 7733, 9178?\n\"Answer: -17*l**2 + 1632*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3 and -46.\nAnswer: 243.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 3*b - 2*b**2)*(63 + 82 - 112).\nAnswer: -66*b**2 + 66*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:18 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + f = -5, r = -f + 4*f - 9. Let q(z) = -z**2 - 7*z - 5. Let k be q(-5). Sort k, -5, r in increasing order.\nAnswer: -5, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20180, 15713, 11248, 6785, 2324?\n\"Answer: s**2 - 4470*s + 24649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 3130 = -4*z + 3370 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 18*d**4\/17 + 24431164*d**3\/17 - 27145758*d**2\/17 + 2714576*d\/17 = 0.\nAnswer: -1357288, 0, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*h**2 - 131*h**2 - 132*h**2 - 2*h**4 - 41 as m*h**3 + j*h + q*h**4 + x + t*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8766 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.013 + 0.387. Let z = 0.3 - -2.7. What is the third smallest value in 2\/11, u, 0.2, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/8799115 and 1\/111482.\nAnswer: 123187610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 40*q**2 - 129*q - 159. Let r = -144 + 141. Let h(d) = d**3 + 2*d**2 - d + 1. Let y(w) = r*h(w) + i(w). Factor y(f).\nAnswer: -2*(f - 9)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.043*-559311.\nAnswer: -24050.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) - 3*(sqrt(272) + -2 + sqrt(272))) + sqrt(272))**2 + -1)*-5.\nAnswer: -21935 + 960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let w(y) = -37*y**2 + 30*y - 2. Calculate w(g(i)).\nAnswer: -37*i**4 + 30*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 15\/2 (b) -4\/3 (c) 4 (d) 162 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 475800 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l - 6*l - 3 - 17*l. Suppose -4*v = -4*q, 2*v + 5 = 1. What is the remainder when g(q) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:08 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 768*r - 5367. What is the remainder when 3185 is divided by s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 2*a, -i + 4*a = -2980. Let r = -545 - -552. Suppose r*t + i = 11*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63999660.\nAnswer: 2, 3, 5, 59, 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-3)\/(-2)) + -2. Let k = 6 + s. Suppose -b = -4*b + 3*h + 21, k*b - 4*h = 18. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 854 divide 7613410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-245)\/(-140)*2\/42)\/(2\/(-9))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**8\/n))*(n**(-1)\/n)\/n)\/((n*(n\/n**1)\/n)\/(n\/(n*n**(2\/21))*n*n)))**(2\/31) assuming n is positive.\nAnswer: n**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 208.32us?\nAnswer: 208320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*n - 1063 = -639*n - 11867 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-312)\/(-32))\/(-13)*-2*(-6)\/72?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**4 + 3*d**2 - 7. Let o(z) = -7*z**4 + 5*z**2 - 14. Let r(t) = -t + 22. Let c be r(17). Let x(h) = c*j(h) - 3*o(h). Differentiate x(y) wrt y.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*c + 31 + 4 = 0, 5*o = 7*c + 49 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**4\/12 + y**3\/3 - 39*y**2\/2 + 272*y. Determine b(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/8 and (((-12)\/(-14))\/(-1))\/(((-204435)\/154)\/177)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/78 (b) 2\/161 (c) 0 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287524 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -19*c + 14*c. Let t(f) = -3*f - 17. Let u(k) = 3*k + 18. Let m(r) = c*t(r) + 6*u(r). What is the units digit of m(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/20110795 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1063 + -1063.6. Let z = 104 + -101. Sort c, 1\/6, z in increasing order.\nAnswer: c, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**3*z**2 - 3*m**3 + 2*m*z**2 - 23*z**3 - 2*z wrt z?\nAnswer: -8*m**3 + 4*m - 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 156*y + 211. Let s be d(13). Suppose 0 = -2*i + 2*p + 1301 + 193, -p - s = -3*i. What are the prime factors of i?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-98)*-2)\/((-788)\/(-8274))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4 - 225*d**3 - 2825*d**2 - 6975*d - 4370 = 0 for d.\nAnswer: -23, -19, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7024.24368 + 5227?\nAnswer: 12251.24368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/8 and (-8)\/14 - 1677\/728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -j, 0*t + 4*j + 8 = 4*t. What is the third derivative of 5*d**5 - 2*d**t - 3*d**2 + 6*d**2 - 5*d**2 wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5)*-1)\/(36\/26*(-2210)\/(-340))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/848 and (-10)\/(-60) + (-21)\/234 - 11532\/(-6240).\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20619.77 centimeters in meters?\nAnswer: 206.1977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 1016 = -11*z. List the prime factors of z.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*z - 43*z + 91*z - 92 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011010111000111000 (base 2) in base 14?\nAnswer: -57d012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.05, -0.4, -6.92, 0.5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3093638 by 134506.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2*b + 1086 - 1088, 0 = -3*c + b + 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/14*181 + 2256\/5264. Which is smaller: t or -95?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*b + 214 = 0. Suppose -b = -5*l + 5*v - 32, 5*l - 2*v = 78. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqh when three letters picked without replacement from qqqqqqqqqqqqqqhhqqq.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3327954 and 476?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/7 + 3956*m**3\/7 - 87120*m**2 + 27139072*m\/7 - 371507200\/7 = 0 for m.\nAnswer: 32, 100, 1814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(432)*-4)**2 + sqrt(3) + sqrt(3)) - -3*(sqrt(12)*3 + sqrt(3)).\nAnswer: -20736 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1, 0 = 2*c + c - 2*f - 7. Suppose 5*y = c*y. Let s be 1\/((-2)\/(-4) - y). Solve 0 = 3*i + s*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 28*u - 329. Let i be b(12). Solve i*h + 55 = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7385 - -39065. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 675 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (6 - 12 - 11344) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(4\/8). Let v(h) = h**3 - 1. Let z(f) = 3*f**3 - 6*f**2 - 7. Let s(u) = -2*v(u) + z(u). Let c(y) = y**2 + 1. Determine t*s(d) - 6*c(d).\nAnswer: -d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/1*(-10)\/(-6). Let z(p) be the first derivative of -p**4\/4 - 2*p**3 - 5*p**2\/2 + 2*p + 14. Calculate z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*p - 12*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-84) + (-18)\/21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49\/4 in 4, 0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = 2. Suppose 2*m = z + 2. Solve 26 = 4*x - 3*f, -2*f + 24 = m*x + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/1890 + o**6\/216 + 2*o**5\/135 + o**4\/54 + 20*o**2 - 15. Let f(m) = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586 - 583 + 1744 - 575 + 1508*q**2.\nAnswer: 1508*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/1 + (-309)\/(-3). Suppose -32 = -4*b + 2*x + 6, -47 = -4*b - x. What is the greatest common divisor of c and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-374)\/(-374)*(1*-1)\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvuvuuuuuuvuuuu. What is prob of picking 3 v and 1 u?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y - 2, -4*h = 3*y - 166. Suppose h*n = 9*n + 68. Solve -16 = -2*v + 4*b + n, -2*v = b + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 733, 538, 343, 148, -47?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -405\/2 or 1\/42?\nAnswer: -405\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31877 - 7861 = 4*q. What are the prime factors of q?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4514 + 45229\/10. Let l = -263509388639\/169098578 + 1\/7686299. Let x = 1558 + l. Find the common denominator of x and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:03 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31213342 and 3875?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3))**(-41))**(-16) assuming v is positive.\nAnswer: v**(656\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322300043?\nAnswer: 13, 24792311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/27 of a day in seconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 23553618?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4961704*q + 1695337 wrt q?\nAnswer: 4961704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Suppose s*y = -3*f - 2*f + 74, 4*f - 52 = 4*y. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 4*r**2 - 4*r + 1. Let a = 42 - 6. Let k = -25 + a. Suppose k = 2*o - 5*o - w, -5*w = 10. Give g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49, 169, 373, 661, 1033?\n\"Answer: 42*s**2 - 6*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7716 rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 889*m**3\/3 - 18*m**2 + 2*m - 11. Is i(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 2110 = 398. Let q = h + 2220. Suppose 0 = 4*r - 2*r - q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -44?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -728210.75 to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87\/112 - 13\/16. Let m = h - -2\/7. What is the closest to m in -3, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {z: 3, t: 3, e: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 22. Suppose 3*y + 5*u = 32, -5*y - 2*u + 24 = -u. Let i be w(y). Let a = -2 + i. Solve -5*g - q - 5 = 0, -5*g - 2*q - a = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 11 - (-12 + (0 - (-5 - -9)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (545\/2)\/((-210)\/(-5880))?\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0817 rounded to 3 decimal places?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/63)\/((-6)\/(-28))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -338.318384 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/7, -929, 2\/9, -280\/3?\nAnswer: -929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**4*a)\/a)**(-7))**(1\/3)*(a**0)**(-36\/5)\/(a**0*a**4\/a) assuming a is positive.\nAnswer: a**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 25*q = 22*q + 4650, 3*q + 1570 = z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*m - 502 = m, 0 = 3*p - 4*m - 747. Suppose p - 33 = 3*l - d, 0 = 3*d + 6. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8)*(0 + -6 + (8 - 6)). Which is smaller: 1\/9824 or m?\nAnswer: 1\/9824","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1065 by 71.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -j + g, 2*j - 35 = -2*j - 3*g. Put 1, 3, j in increasing order.\nAnswer: 1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -18*g + 70. Suppose -7*z + g*z - 182 = 0. Suppose 0 = -21*p + z*p - 920. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3\/2*x**2 + 5171907\/2 - 3939*x = 0.\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30785696 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 1, p: 9, n: 4, f: 5}. What is prob of picking 1 f, 1 j, and 2 n?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p + 7\/6*p**3 - 1\/3*p**4 + 1\/60*p**5 + 0 + 3*p**2. Suppose 0 = m + 5*v - 32, -m - 40 = -6*m - v. What is k(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 74. Let i(x) = 8545*x + 73. Determine i(v(b)).\nAnswer: -17090*b - 632257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4672565, 4672569, 4672573, 4672577?\n\"Answer: 4*v + 4672561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1408053.14 + 1524?\nAnswer: -1406529.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 8. Let t be l(-4). Determine x so that 4*x - x**2 + 2 + 1 - t - 3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -4)\/((-1)\/2). Let h be s\/(-3)*(-24)\/32. Let y = -42\/17 + 244\/85. What is the nearest to 1 in y, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.25 + -0.15. Let x = -3 + b. Which is smaller: -0.15 or x?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2767106 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -797*b + 797*b + 2*b**2. Let u(w) = 5*w**2. Let q(z) = u(z) - 4*v(z). Let k(o) = -8*o. Give q(k(x)).\nAnswer: -192*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 3*c - 4. Let l be v(-2). Let x = -2 - l. Solve x = -2*y - b + 5*b - 10, 0 = 4*y + 5*b + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14013323.\nAnswer: 313, 44771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571 is divided by 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + y + 31. Let j = -14 + 89. Suppose 2*v = 3*u - j + 17, 22 = 2*u + 2*v. Calculate the remainder when z(0) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1528 divided by 2.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((sqrt(108)*-1 + sqrt(108) + sqrt(108))\/sqrt(9))\/(2*sqrt(100) + sqrt(100) + sqrt(100)) + 5)*1 + 2)**2.\nAnswer: 11*sqrt(3)\/10 + 48403\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-182)\/(-21))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15359917 divided by 5.\nAnswer: -15359917\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 338394854 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1\/4, 80781, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016.7789 times 13?\nAnswer: 13218.1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010110 (base 2) in base 9?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 23*u + 1. What is the tens digit of s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 5*d**2 - d. Let c(a) = a**3 - 8*a**2 - 2*a. Determine 8*b(l) - 5*c(l).\nAnswer: 3*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5182439 + 17879414393\/3450. Calculate the common denominator of 47\/1380 and m.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6322, 12726, 19194, 25726, 32322?\n\"Answer: 32*f**2 + 6308*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17746.09 weeks in hours?\nAnswer: 2981343.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 41 + 85. Suppose 27*p - 45 = u. Solve -p*o + 5 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1127 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0878 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/2709773 or 0?\nAnswer: -6\/2709773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/20)\/((-2)\/5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 10\/8)*1. Let l = -55\/72 + 1\/72. Which is the third biggest value? (a) u (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595045730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5628 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 - 33*w + 538. Calculate f(7).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1703 divide 51934688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/139632 and -89\/6024.\nAnswer: 35047632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -729, -1074, -1411, -1740, -2061, -2374?\nAnswer: -2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 683*l**6\/10 + 1403*l**2\/2 + 2*l - 607. Find the first derivative of n(o) wrt o.\nAnswer: 8196*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629.2885cm to kilometers.\nAnswer: 0.006292885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5411 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*b + 3. Let t = -7 - -6. List the prime factors of (t - -1)*b + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(14\/5)*m)**14)**(-23) assuming m is positive.\nAnswer: m**(-6118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9561.759ml in litres?\nAnswer: 9.561759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 21616?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - (sqrt(112) - (sqrt(112) + -3)*2)) + 2*(sqrt(112) + sqrt(112)*1) + (1*(1 + sqrt(112)) + 1 + -1 + sqrt(112))*1)*3)**2.\nAnswer: -2880*sqrt(7) + 64737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, -0.2, 2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598 or -119989\/201?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1\/4*q**2 + 5\/4*q**4 + 1\/4*q**5 - 2*q + 7\/4*q**3 = 0. What is q?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:45 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:35 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**3 + 4*v + 4*v - 10*v**3 wrt v?\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15396, -30754, -46112, -61470, -76828, -92186?\nAnswer: -107544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 at most as big as 2324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4538 and 9076?\nAnswer: 9076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 238 in 140\/9, -7, 3\/5, -3\/7?\nAnswer: 140\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206209\/56 - 3682. Let n = p + 1\/8. What is the smallest value in n, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*g + 23 - 36*g + 2*g**2 - 45*g + 3*g with respect to g.\nAnswer: 4*g - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1.9 (b) 4 (c) 0.109 (d) -3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*y - 327*y**2 - 623*y - 640*y**2.\nAnswer: -967*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, -4, 131?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Is 5\/11 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5035?\nAnswer: 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42443 (base 6) in base 12?\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 19. Give z(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19320 - -20610. What is the greatest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -421, -454, -509, -586?\n\"Answer: -11*p**2 - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) - (-1*sqrt(3564) + sqrt(3564) - sqrt(3564)))\/sqrt(4).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*h = 2*q - 1, -2*h = 5*q - 12. Suppose -6 = 3*j - 4*j + n, -8 = q*n. Put -5, j, -17 in decreasing order.\nAnswer: j, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22381792997 and 0.0439.\nAnswer: -22381792996.9561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.763 and -1.\nAnswer: 13.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 355663?\nAnswer: 355657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99211514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -7. Let n = 35 + -13. Let d = n - 25. Sort j, 0, d.\nAnswer: j, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682916.\nAnswer: 2, 13, 23, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -701 - -2?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11609\/2 + -5805. What is the closest to v in 1\/8, -2\/17, 5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 3:54 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - g**2 - g + 10*g + 8 - 9. Determine i(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by -1304?\nAnswer: 16\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 65359 - 16766 + 5344. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -80*l**2 - 5*l - 141. Let t be s(-12). Let p = t + 21968. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2)*(-14)\/3. What are the prime factors of o*3\/(-2 + -1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15730*n**3*o**2 + 6114*n**3 with respect to o.\nAnswer: -31460*n**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 6*i**2 + 4. Let p be x(6). Let m(b) = b + 3. Let u be m(p). Suppose 2*j = -3 + u. Do 2 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 5*v - 2. Let o be d(-6). Let c be ((-12)\/30)\/(149\/(-15) + 10). What is the third biggest value in -1, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.442 + -3.442. What is the nearest to 2\/7 in 2\/3, -26, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -19*i**2 + 123*i - 270. What is x(5)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -260, -551, 7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 b when three letters picked without replacement from {z: 1, b: 4, d: 10, k: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(1 + sqrt(539)))**2.\nAnswer: -13500 - 350*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -4*b**3\/3 - 3*b**2\/2 - 4*b + 2121. Let y(c) = -8*c**2 - 5*c - 9. Give 5*m(z) - 3*y(z).\nAnswer: 4*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -15151*s + 18. Let x be c(-1). Suppose 11*q = 22*q - x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1221121?\nAnswer: -1221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112932 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + -1 - 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 227427 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-12) + (-945)\/(-810))\/(1\/9). Which is the second biggest value? (a) 2\/333 (b) u (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1631381.4 nanoseconds to minutes.\nAnswer: 0.00002718969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7034747.5*-0.04.\nAnswer: 281389.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 458699803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 732 and 55876.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1099575 - 4398293\/4. Let 5\/4*o**2 - 3*o + z = 0. Calculate o.\nAnswer: 1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/170)\/(1*(-6)\/180)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -17, -22, -25, -26, -25?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7518.502 milliseconds in microseconds?\nAnswer: 7518502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25735202116 - -1?\nAnswer: -0.25735202116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065798 to 6 decimal places.\nAnswer: -0.000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54942, -109775, -164606, -219435?\n\"Answer: m**2 - 54836*m - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 3*i. Suppose 15 = 2*a + a. Suppose a*k + 5*l = -65, 5*k - l - 1 = -42. Let u(g) = -8*g**2 + 13*g. Give k*o(y) + 2*u(y).\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**6 - v**5 - 386*v**2 wrt v?\nAnswer: -120*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 6*p = -18, r = -10*r + 6*r + p + 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*f**6 + 161*f**6 - 3*f**2 - 290*f + 297*f wrt f?\nAnswer: 27240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23592 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -890*z**2 + 7581*z + 3869. Determine r(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 59 (c) 0 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27812 and 278120.\nAnswer: 278120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/70204 - 174915\/835357396. Is u smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -1, -6*p + 5 = k - p. Let x(i) be the third derivative of 1\/120*i**5 + 0*i**3 + 0 + 0*i**4 - 4*i**2 + k*i. Determine g, given that x(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 10. Let i be d(-10). Suppose i*z + 4*z + 83 = 3*f, -z = -2*f + 47. What is the greatest common divisor of f and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -572 (base 15) in base 3?\nAnswer: -1200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7))**(-35)*y\/((y*(y\/y**(2\/7))\/y)\/y*y)*y*y**(-2\/19)*y assuming y is positive.\nAnswer: y**(-1040\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(5\/3)))\/c)\/(c*c**10*c)*(c**6)**10 assuming c is positive.\nAnswer: c**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 8*c**2 + 2*c**2 - c - 4*c**2 + 2 - 2*c**2 in the form w + v*c**2 + o*c and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - (0 + -2)) + -2. Let u(m) = -m + 12. What are the prime factors of u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let o(d) be the second derivative of -265*d**4\/12 - d - 7. Give o(g(l)).\nAnswer: -265*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23675587259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -4521 and -4541040481.\nAnswer: -4541045002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 - 5*f + 7. Let l(b) = -4*b**2 - 3*b + 7. Let r(n) = -4*l(n) + 3*w(n). Calculate r(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1223623.9237 to the nearest ten thousand.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from {x: 4, e: 5, s: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -5. Let n(x) = -x + 11. Let s be n(c). Is (-1483)\/(-9) + s\/72 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50699.999971781 + 50700. What is z rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 81 = 2*w + 5*h, h + 45 = w. Let t(s) = s + 34. Let n be t(0). Let a = n - 22. Calculate the highest common divisor of a and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u. Suppose -m + 14 = -5*z, -2 = m - 2*z - 10. Let x(b) = b**2 - b. Give m*x(j) - w(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4862495668 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -1\/4*w**4 - 9*w**3 + 19 - 20*w - 2*w**2. What are the prime factors of u(-27)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/16)\/(18\/(-360)). Which is smaller: -89\/20 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*8*(-3)\/(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1415*t - 3*t**2 + 5706*t + 1707*t - 2.\nAnswer: -3*t**2 + 8828*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1113\/5 + 223. Suppose -2\/5*t**3 - 2\/5*t**2 + m*t + 2\/5 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q + 111. Determine t(17).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 428011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0 - 0)*(37 - 2). Suppose 2*n - 15 = 5*h, 2*n = -8*h + 3*h - c. Is n - -3 - -2 - -2413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17715a3 (base 11) in base 12?\nAnswer: 100a13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 19165\nAnswer: 9\/19165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 5480 = 7*i - 1216. Calculate the lowest common multiple of 30 and i.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1757196*j + 3004068?\nAnswer: 1757196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t. Let b be n(-4). Factor -15*g**3 + 8 + 4*g**4 - 3*g + b*g**2 + 35*g**3 + 31*g.\nAnswer: 4*(g + 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and 0.0518?\nAnswer: -0.006734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-416)\/(-715) - 26\/65.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f - 33 = 0. Solve 0 = 2*s + 2*a - 3*a - f, 3*a + 24 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14334421*z + 14334421*z + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaav when four letters picked without replacement from {a: 3, v: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - -452d8d9?\nAnswer: 452d8c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/7)\/f**(1\/2)*(f*f**7)\/f**(-4))\/((f**(-2\/7)\/f)\/f**(3\/2))**0 assuming f is positive.\nAnswer: f**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + 2*k**2 - 2*k + 1. Let y be v(1). Solve -2*t - 3*t - y = -3*r, r + 13 = -3*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432092 and 952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2)\/w)**(13\/3)\/((w**(-1\/2)\/w)\/w**(-6)))\/(w**(-1\/7)\/(w*w**(-1\/4)))**(-4) assuming w is positive.\nAnswer: w**(-703\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*o**2 + (-2*o**2 + 3*o**2 - 2*o**2)*(2 + 0 - 4) - o**2 + 5*o**2 - 3*o**2)*(-2*o**2 + 2 - 2).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)\/((-1)\/2). Let l = 0 + 7. Let u(q) = -q**2 + 9*q - 10. Let s be u(l). Put s, 5, y in ascending order.\nAnswer: y, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-21) - (-420573)\/819. Let r = -513 + w. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2625 and 2485.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {l: 7, j: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-36)*((6 - 0) + 22)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -201. Let p = -102 + c. Sort 0, 16, p in ascending order.\nAnswer: 0, p, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.34414 millennia to months.\nAnswer: 76129.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (7 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -231*q - 88. Let x(d) = 8*d - 3 + 4 + 2. Let w(r) = 3*c(r) + 88*x(r). Let v(n) = -2*n**2. Determine v(w(u)).\nAnswer: -242*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -220 + 380. Let f be 404\/20 - 1\/5. Calculate the greatest common factor of p and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (2 + ((-9 - -8) + 9 + -9 - -9)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52771*n**3*q**5 - 6*n**3*q + 42*n**3 wrt q?\nAnswer: 1055420*n**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 3 + (-8)\/(-2). Suppose -3*o - 3*v = -2*o - 84, -296 = -a*o - 4*v. Let t = -14 + o. Calculate the greatest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6511 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-39) + 324\/(-702).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 8. Let k(b) = 5*b - 8. Let a(t) = -6*t + 10. Let c(q) = 4*a(q) + 5*k(q). Give l(c(i)).\nAnswer: -2*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11945\/6 - -1982. Calculate the common denominator of v and -59\/1270.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + 21*l**2 - 2*l + 3. Let g(o) = o**3 - 24*o**2 + 2*o - 3. Let n(j) = 6*g(j) + 7*u(j). Determine n(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Suppose 0*m + 5*m = 10. Let u be 13\/3 + m\/3. Let c(g) = 3*g - 8*g**2 - u*g + 2*g. Calculate c(b(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 18. Suppose -3*b - k*b = -30. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412012?\nAnswer: 2, 17, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 0*t**2 - 3*t**2 + (1 - 1 - 2)*(70*t - 70*t + 69*t**2) - 3 + 3 + 2*t**2.\nAnswer: -137*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2575913264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1670714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 - 91. Let b = 711 - v. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41233 - -1?\nAnswer: 41234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 1. Suppose -3*q + 16 = 1. What is the least common multiple of ((-10)\/6)\/((-5)\/6) and z(q)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 1:25 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1858288 and 3\/3252004.\nAnswer: 13008016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - 1. Is -126 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 2. Let t = 470 + -472. What is k(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-3)\/15 - (1115557\/(-85) - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3607 + -3587. Solve -5*k - 5 = -5*n, 23*n + 3 = k + z*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34180, -68300, -102420, -136540?\nAnswer: -170660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:13 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w - 4 = 0. Let n be w\/(-8) + (-34)\/(-4). Solve -t + n = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153245.7 centuries to millennia.\nAnswer: 15324.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237124 + 948465 - 237117 - 237112 - 237112 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.212 + 0.088. Let v be (1\/2)\/((-2)\/20). Which is the second biggest value? (a) v (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -70, -101, -154, -235, -350?\n\"Answer: -y**3 - 2*y**2 - 2*y - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346128.\nAnswer: 2, 3, 19, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 606928508 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - d + 2 + (0 - 1 + 2)*(1 + 2*d - 1))*(-5 - 26 + 1)*(191 + 53 - 350).\nAnswer: 3180*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**3 + 4*a**2 + 6*a - 392. Let k(d) = -44*d**3 + 22*d**2 + 33*d - 1964. Calculate 2*k(n) - 11*w(n).\nAnswer: 11*n**3 + 384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.9 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 1:39 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*l - 2, 5 = -k + 5*l + 30. Let i = k - 3. Suppose 0*f + 182 = 2*f - 5*d, -i*f + 182 = -d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + 50. What is the lowest common multiple of t and (12 - 105\/15)\/((-1)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:03 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26152.\nAnswer: 2, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76569389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -2583028?\nAnswer: -2583029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2963?\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55518431 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*152\/114*(-465)\/40.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 8*y = 0. Suppose y = 2*u - 1 - 55. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 36*j + 125*j - 26*j.\nAnswer: -3*j*(j - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7779 is divided by 7652.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/10 - m**4\/24 - 3*m**2. Let s be i(1). Solve -y = s*b + 8 + 8, -11 = 3*b + 2*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -6*f**2 - 45*f - 55. Is b(-18) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32172990 + -42.\nAnswer: -32173032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*n**2 + 13*n**2 + 6*n**2)*(-2*n**2 + 1 + 0 - n + 2*n + n**2 - n**2 + 2*n**2 + (-5 + 1 + 3)*(n**2 - 3*n**2 + 0*n**2) + 2*n**2 - n**2 + n**2).\nAnswer: 156*n**4 + 39*n**3 + 39*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14898*c**6 + 3*c**2 + 279*c - 8?\nAnswer: 1787760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30\/50 - 72\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4313461 (base 7) in base 3?\nAnswer: -222122201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 2*x**2 - x + 4. Let t be s(0). Let n be 3 + (0 + t - -27). Calculate the common denominator of (12\/(-112))\/(1\/n) and 59\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let c be 420\/(-9)*(128\/10 + -14). Suppose 5*l + 150 = o*s, 4*l - c = -3*s + 94. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 34. What is the smallest value in -1\/5, -0.3, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187344054 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 484, -12.\nAnswer: -12, -2, 14, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.2, 5, 0.1, 3\/7 in descending order.\nAnswer: 5, 3\/7, 0.2, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/(-91)*(-1)\/(-2))\/(24\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/21 - 266*a**3\/3 - 203702*a**2\/21 + 137666*a\/7 - 69144\/7 = 0.\nAnswer: -804, -129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 6:43 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**4 + 1060780*m**3 + 75136080960*m**2 + 1785202711211600*m + 594855566157477040 = 0.\nAnswer: -70606, -338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127\/2 + -885\/14. Suppose -4*d = -0*s + 3*s - 237, 2*s = -2. Let h be 168\/d + 1\/5. Put h, -1, w in descending order.\nAnswer: h, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -81*p**2 + 3*p + 6. Let s(f) = -27*f**2 + f + 2. Determine 8*s(v) - 3*u(v).\nAnswer: 27*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Let d = h - -9. Let a = d - -33. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 67. Let i be (-3 - u)\/((-6)\/(-15)). Let a be 2\/(-7) + (-242)\/(-14). Solve 5*l + a = 4*z + 7, 5*z = -i*l - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 30. Suppose -70 = -r - 5*s, 2*s - y*s = -2*r + 184. Suppose 2*d - r = -d. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -224 - -237. Solve 4*a + p = -3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 23 + 282 - 60)*(4 + 2 - 3)*(-211*l + 40*l + 106*l).\nAnswer: -58110*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - -4242124?\nAnswer: 4242320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h - 12. Let u = h - 1. Solve 3*n + 6 = u*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a - u + 1 = 0, 8 = -2*a - 4*u. Let g = -3 + 4. Suppose a*x - g = x. Which is smaller: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 526440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-19)*2\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -355418 and -55.\nAnswer: -355473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 0 in decreasing order.\nAnswer: 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/27 - ((-110)\/27 + -12). Solve 26*d = 10 + r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276768053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 3, 3184 in decreasing order.\nAnswer: 3184, 3, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 25.62. Let u = -0.1 - v. Let l = 0.4836 + u. Round l to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/3 (c) -8 (d) -5\/7 (e) 3428 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + p - 32 = -s - 0*p, -s + 2*p + 27 = 0 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (780\/168)\/(-13)*(-2)\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let m = n + -3.1. Let o = 5 + -1. Which is the smallest value? (a) o (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7004 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 2*u + 2. Let a be p(-1). Solve 0 = a*g + 3*x - 5, 0 = -5*g - 0*x + 4*x - 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 9*v**6\/8 - v**5\/20 - 5*v**3\/6 - 26*v**2 + v. What is the third derivative of y(g) wrt g?\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1151 - 570. Suppose 66 = -c - 3*i - 68, 3*i = 4*c + d. Let o(s) = 407*s**2 + 143*s - 143. Let z(f) = -17*f**2 - 6*f + 6. Give c*z(b) - 6*o(b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.96092 millilitres in litres?\nAnswer: 0.08996092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1136*c**2 - 2*c - 99487 + 99487)*(0*c**2 - 3*c**2 + c**2) as d*c**2 + m + q*c**3 + n*c**4 + r*c and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 + 3366*m - m**4 - 3341*m + 2 to z + f*m**4 + p*m**2 + k*m + n*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10860.319 and -2.9.\nAnswer: -31494.9251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a*a**(-2\/11)*(a\/(a**(1\/2)*a)*a)\/a*a**(1\/6)*a**3*a)**(2\/21) assuming a is positive.\nAnswer: a**(494\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 29141112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40446366 or -40446365?\nAnswer: -40446366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 0*q = -3*s + 37, 32 = -4*q + 3*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.073 - 0.033. Let f = 0.04 - z. Suppose 0*t - 20 = 5*t. Which is the third smallest value? (a) t (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m**3 + 0*m)*(-6396*m**2 + 6209*m**2 + 0 + 0).\nAnswer: 374*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293 minus 71567?\nAnswer: -72860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2344 - 1575. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 18*p + 9 = 0. Calculate the smallest common multiple of 162 and p.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5164, -5214, -5290, -5404, -5568, -5794, -6094?\nAnswer: -6480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 369*h - 1770.\nAnswer: -3*(h - 118)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 8) in base 7?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90621000 rounded to the nearest 1000000?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 972764 and 79768?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 13\/336*d**8 + 1\/8*d**4 + 0*d**7 + 0*d**5 + 0 + 0*d**3 + 0*d - 33*d**2 + 0*d**6. What is the second derivative of q(t) wrt t?\nAnswer: 260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-126)\/(-36))\/(1 + (-2)\/4). Let w be -802 + f + 1 + -2. What is w rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15042.25 * -0.2.\nAnswer: 3008.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 28. Suppose -9*c - n = -11*c. Solve -7*w - 12 = -c*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 26*f**2 - 7*f - 16. Let i be y(26). Let p be (-2181)\/11 + 489\/1793. Does p = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 9:35 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = y, 0*v - 2 = -v + 2*y. Let i be 0*2*v\/(-4). Let x(q) = -5 - 16 + q - 11 + 33 - 7. Calculate x(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 1\/12*w**4 + 0 - w**3 - 7*w + 0*w**2. What is q(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = v + 47 - 43, 3*k = 5*v + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 + 8*i**2 + 93*i + 171*i - 448*i + 184*i.\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3650692*d**4 + 2548070108*d**3 - 78808620*d**2 + 812468*d - 2792.\nAnswer: 4*(d + 698)*(97*d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*g - 22, 0 = 2*x - 5*g - 11 + 34. Which is the closest to x? (a) 61\/5 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314141 + 314141.0399946. Let w = g - 0.04. What is w rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/49)\/k)\/(k\/(k*k**(-4))))\/(k**(-15)\/k**12) assuming k is positive.\nAnswer: k**(1076\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -19*d**3 + 5*d**2 + 12*d + 13. Determine n(3).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (-96 + 123 - -60)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49567 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 32*a + 276. Let y be z(-33). Solve -4 = y*q - 242*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**3 - 2*y**2 + 4*y + 1. Calculate the remainder when c(2) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 1\/330*b**5 + 0*b**3 + 3\/2*b**2 + 0*b**4 - 5*b + 0 + 1\/660*b**6. Let t(g) be the first derivative of u(g). Factor t(p).\nAnswer: 2*p**2*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 3*m**3 - 1 + 2*m**3 - m + 3 - 2*m**3 to the form v*m**2 + b*m**4 + x + j*m + s*m**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6. Which is the smallest value? (a) 0.4 (b) y (c) -4 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*o + 9*o - 12 = 0, z - 8 = -2*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (64\/(-1632))\/(21\/279) and -83\/2.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56506807 to the nearest integer?\nAnswer: 7517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2064125, 4128247, 6192369, 8256491?\nAnswer: 10320613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 272, 409, 546, 683?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273 - -763. Does 55 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32357 and 2389309?\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h - 15*h**2 - 9*h as n*h + t*h**2 + x and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000131663 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -489017 and -5?\nAnswer: 489012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0498 + -0.2502. Which is the closest to 1? (a) 4 (b) t (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 2*j**2 - j - 2. Let c be q(2). Let s = -8 + c. Let l(o) = -3*o + 2*o - 1 - 2*o. What is l(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 264592289.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(190)*2 + sqrt(190)) + sqrt(190)*6*-6)\/((sqrt(5000)*-3)\/(sqrt(55)\/(1*sqrt(11)))).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*q**3*s**2 - 8*q**3 + 35*q**2*s**2 + 2*q**2*s + 4*q*s**3 + 371*q*s - 2*q wrt s?\nAnswer: 52*q**3 + 70*q**2 + 24*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/137 or -5838?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9648826, -9648815, -9648804, -9648793?\nAnswer: -9648782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/12 + 5*f**3\/6 - f**2 - 2*f. Let y be m(-4). Let x = 4 - y. Calculate the greatest common divisor of x and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/915 and 19\/75.\nAnswer: 4575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-464)\/(-144) + 4\/(-18). Let q(z) = z**2 - 5*z + 3. Determine q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from yodhdyhdd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4523345 is divided by 5626?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/(-9))\/(3\/9). Suppose 48*i = 52*i - s. Suppose i*u + 348 = 5*h, 169 = 5*h - 5*u - 181. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(36)\/sqrt(4))*-6 - (-1 + (-5*sqrt(44)\/sqrt(4) + sqrt(11))**2).\nAnswer: -175 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from vvwvvllwvlvvw?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 3213 = -17*k. Let x = k + -168. Solve -5*q - x + 6 = 3*z, -5*q - 15 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/5, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10551379 is divided by 1355?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 8:52 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11688 and 800.98?\nAnswer: 12488.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -572610 + 4008330\/7. Suppose 2\/7*l**2 + g + 34\/7*l = 0. Calculate l.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-34)*6\/(-18)*(-6)\/(-15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 + 10\/35. Let b be g - (-2)\/1 - 3. Let m be b\/4 - 11\/(-12). What is the second smallest value in 1, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 12572*v\/5 - 3354066.\nAnswer: -2*(v - 4365)*(v - 1921)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34085985*f**2*i**2 - 34*f**2*i + 959195*f*i + 3*i**3 - 1 wrt i.\nAnswer: -68171970*f**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7734 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78645, 156713, 234781?\n\"Answer: 78068*c + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/2)*f*f**1*f*(f**1*f)**29*(f*f**(-2\/3))**29\/(f**(-1\/2)\/f*f\/(f**(-5)*f*f)) assuming f is positive.\nAnswer: f**(203\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/32 and -53\/90.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -150*o**3 - 51*o**2 - 51*o + 51. Let l(i) = 6*i**3 + 2*i**2 + 2*i - 2. Determine 6*c(w) + 153*l(w).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2 + (5*(-2 + sqrt(704)) - sqrt(704) - (sqrt(704) + -2)*5))*4)**2.\nAnswer: 1536*sqrt(11) + 11840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 66*l + 7675724 = 213*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 4*r. Let p = 0.89 - 1. Let s = -3.89 + p. Which is the third biggest value? (a) s (b) r (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350342891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 194 = -142. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 29*j**3\/6 - 9*j**2\/2 + j + 52. Let s(z) = -14*z + 4. Give -2*d(c) - 5*s(c).\nAnswer: 12*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39989 + 17703. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 36 + 8. Let v(n) = -5*n**3 - n**2 - 4*n. Let j(c) = -4*c - c**3 + c - 3*c**3. What is d*v(y) - 3*j(y)?\nAnswer: 2*y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 4 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8786255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7046*u = 6674*u - 18600 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**4 + 0 + 0*n**2 - 5\/6*n**3 + 0*n**6 + 5\/42*n**7 + 0*n**5 - 6*n. Find the second derivative of z(g) wrt g.\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 2, p: 2}. Give prob of sequence ptt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230 - -411. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 19*q**5\/5 + 11*q**4\/2 - q + 57. What is the third derivative of p(m) wrt m?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8479942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.00438 + 24.83438. Let o = 25 - a. Let k = -0.184 + o. What is k rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r - 55*r - 57*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -61*h**5\/8 - 65*h**4\/8 + 1643*h**3\/8 + 5049*h**2\/8 + 1809*h\/4 + 27 = 0.\nAnswer: -3, -1, -4\/61, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.96 - 0.04. Let q = -32 - -32.5. Let u = 4 + -4.4. Put u, x, q in ascending order.\nAnswer: x, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3163 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25406*u**3*y + 34826*u**2 + 3*u*y wrt u.\nAnswer: -152436*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 4:04 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - a**3 + 2*a**3 + (-2 + 5 - 1)*(-5*a**3 - a**3 + 4*a**3) + 19*a**3 - 11*a**3 + 19*a**3 + (a**3 - 1 + 1)*(0 + 3 - 1).\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000881 to 7 decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = 29. Suppose 0 = 2*m - 4*m - 20. Which is the second biggest value? (a) z (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/186)\/(21\/(-84))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*y - 403*y = -4832230. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = 5. Suppose 0 = m*v + 22 - 26. Solve 0*z + v*z = -4*a + 2, 4 = 5*a + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 5*u - 3. Let o be b(-6). Suppose -o*l = 0, -l - 13 + 61 = 2*w. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 14. Suppose 24 + 20 = l*p. What are the prime factors of ((-3)\/(-6))\/(1\/p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 18 (b) 1\/2 (c) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54855 is divided by 27417.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3962 + 2\nAnswer: 3964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Factor 1 + 4*r**3 - 5 + 2*r**2 + l - 2*r**3 - 2*r.\nAnswer: 2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2306665 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -427855 * 0.2.\nAnswer: -85571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-126)\/(-45)*5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8126\/19089 - 1\/4242. What is the common denominator of l and -48\/7?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513 - 39*d - 503 + 1013.\nAnswer: -39*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 8071340.54\nAnswer: -8071337.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 681331 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5*g)\/g**1)\/(g*g**(-5)*g*g\/g**6*g))\/((g**(-3\/5)\/g)\/g**(1\/3)*(g*g*g**(-1\/10)\/g*g*g)\/(g*(g**1*g)\/g*g)) assuming g is positive.\nAnswer: g**(421\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(5) + 2).\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 12112121102212?\nAnswer: -12112121110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/30)\/((-13)\/((-3744)\/(-32)))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d + 2*c + 11, 4*d + 21*c - 16*c = -9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 2*a**3 - 2*a**2 - a + 0*a**3 + 3*a**2 in the form b*a + g + t*a**2 + h*a**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.1 * 70.\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (70536\/(-16))\/(18\/(-22)). Let s = -7817 + 13217. Let u = w - s. Calculate the common denominator of u and -59\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*2)\/((-2*sqrt(35))\/sqrt(5)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:00 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 3*j + 1 + j. Let q(z) be the first derivative of -3*z**2 - 8*z - 340. Calculate q(b) + 8*x(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 179 = -830. Find the third derivative of -1 - 5*v**4 + 0 + 647*v**2 + 12*v**3 - b*v**2 wrt v.\nAnswer: -120*v + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8937*v + 5277*v - 1175*v + 257*v.\nAnswer: 13296*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2705*s + 2084. Is p(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 132868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + -55. Let g(i) = 450*i**2 - 596*i + 42. Let n be g(1). Do k and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 + 487 - 244)*(-3 - 2 + 2)*(-p + 0*p - p)*(p + 2*p - p).\nAnswer: 648*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3\/3 + 179*y**2 + 1603*y\/3 + 64.\nAnswer: (y + 3)*(y + 64)*(8*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t = -54*t + 40. Suppose 0 = 2*x - t + 2. Let r(j) = 3*j**3 + 6*j**2 - 6*j + 3. Is 15 a factor of r(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 21, -38, -121, -228, -359, -514?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 13.7. Let v = t - 14. Sort -3, v, -4\/3.\nAnswer: -3, -4\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91789607.92 - -2?\nAnswer: -91789605.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 - 1101*w\/2 - 552.\nAnswer: 3*(w - 368)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 25.5 (b) 10 (c) -3\/2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021531 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7641 take away 0.4?\nAnswer: 7640.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {u: 1, e: 2, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/8 + a**3 - 8*a**2 + 12. Let u(r) = -7*r + 13. Determine -9*i(j) + 4*u(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 1 - 5*f + 153*f**2 + 2*f.\nAnswer: 153*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 734447062 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 5*r - 9*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 105*c**2 - 711*c - 1107.\nAnswer: 3*(c - 41)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiffzib. What is prob of picking 1 f and 1 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5857.99994927 + 5858. Round a to 6 dps.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-5)*15\/9. What is the third derivative of 4*q**4 - 2*q**4 - 42*q**3 + 42*q**3 - y*q**2 wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/10 + (-2901)\/780. Let o = -368\/39 - n. Calculate the common denominator of o and 75\/10*(-3)\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 13*q - 650. Is 3 a factor of 78\/q - (-43)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 706887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-18 - -11)) + (3 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469704 is divided by 468976.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1102102111?\nAnswer: 1102102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**3\/3 + 9*m**2\/2 - 4. Let z be b(9). Suppose z = -0*u - u + 3. Which is greater: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m\/(m*m*m**(-1)))\/((m\/m**(-4))\/m**(1\/14)))\/((m**(2\/9)*m*m*(m\/m**6)\/m)\/(m\/((m**(-1)\/m)\/m*m*m)*m\/m**(-6))) assuming m is positive.\nAnswer: m**(611\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 41 = -293*n + 298*n, -3*o + n - 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 0.3, -2\/11, -806?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -839.356 (b) -12 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s + 44. Let l be r(-7). Let z be -3 + 12*l\/(-10). Let a(h) = 5*h**3 - 3*h**2 - 3. Let y(d) = -4*d**3 + 2*d**2 + 2. Calculate z*y(p) + 2*a(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8415420022 minus 0.0201?\nAnswer: 8415420021.9799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -4. Let z be (-36)\/(-24)*(-16)\/c. Let i(w) = -4*w - 2. What is i(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325685968?\nAnswer: 2, 20355373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k**2 + 9*k + 7. Calculate the remainder when y(-4) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2687, 55, 5, -3, 0, -8 in increasing order.\nAnswer: -2687, -8, -3, 0, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*l + 3*q + 185, 2*q + 121 = -3*l. Let b = l + 115. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 12 = -7*h. Let m be ((-24)\/(-14))\/(h\/7). Let n be 8*(-3)\/((-9)\/m). Calculate the highest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80275 and 61685.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {v: 2, i: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (352\/(-40) + 6)\/(48\/(-20))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3074 + -3070. Which is the second smallest value? (a) s (b) -4 (c) -1 (d) 71 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.574 centuries in millennia?\nAnswer: 97.3574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/72*(9 + -3). Solve -3*c = -z - s, 23*c - 17 = 4*z + 24*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -289 (base 11) to base 12\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:42 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + 4 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 59\/4 of a millisecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8561*t**2 - 8777*t**2 + 17337*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {j: 1, m: 1, o: 5, b: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/17 - 342*n**3\/17 - 3912*n**2\/17 - 15392*n\/17 - 20352\/17 = 0. Calculate n.\nAnswer: -159, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.349 and -0.1.\nAnswer: -0.0349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*o\/(o*o*(o*o**(1\/6)*o*o)\/o*o))\/(o\/o**(-3))*(o\/(o*o*o\/(o**(-1\/9)\/o)*o))\/(o\/(o**5\/o)) assuming o is positive.\nAnswer: o**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*o - 20, 0 = -o + 3*d - 16 + 21. Solve 0 = 2*m + 5*g + 8, m + 4*m + o*g + 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from kkknooknkknkokko?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -118. Suppose u = -p + 16 + 2. Calculate the highest common divisor of p and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 + p**3 + 2*p**2. Let y be i(-8). What is the highest common divisor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**2\/7 + 143984*o\/7 - 616560 = 0.\nAnswer: 30, 35966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375133714.\nAnswer: 2, 73, 193, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52174 - 28544. Suppose -10*g - n = -20*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 + 5409?\nAnswer: 5408.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:22 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -61618*m - 123238. What is i(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5855, 11680, 17455, 23156, 28759, 34240, 39575, 44740?\n\"Answer: -4*w**3 - w**2 + 5856*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -134, 11.\nAnswer: -134, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253346071 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.42 from -2.\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**2 + 11*g + 323. Let w(r) = -2*r**2 + 3*r + 79. Determine 22*w(h) - 6*x(h).\nAnswer: -2*h**2 - 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -9 - ((54 - (-130 + 155)) + -1 + -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 16*g = 3*z + 12*g - 48, 15*z = -6*z - 3*g + 63 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-2)\/16*6). Let l = -1 + w. Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3608 at most as big as -3608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 60*t - 2. Let z be u(2). Let y = z - 68. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 8:19 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308 + 473. Suppose k + 4*k = 5*c - b, 0 = -5*c - 5*k + 115. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)\/k*k*k*k)\/k*(k**(1\/6)\/k)\/k)\/(k**(-4)*k**(2\/21))*(k**6\/k**(2\/15))\/(k**0\/k**0) assuming k is positive.\nAnswer: k**(1037\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n**2 + 5*n + 2. Let v(y) = -2*y - 12. Let l be v(-7). Let u(z) = -4*z - z - z**l + 4*z. Let q(s) = -b(s) - 5*u(s). Differentiate q(f) wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004 = -128*i - 276 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54472554 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:54 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - 5*v - 3*v**3 + (0*v**2 - 4*v**2 - 13*v**2)*(4*v - 6*v + 0*v) + (v**3 + 0*v**2 + 0*v**2)*(-1 - 4 + 3) to y*v + s*v**3 + g*v**2 + a and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/(sqrt(8)*1) - sqrt(20))\/(sqrt(80)\/(sqrt(24)\/sqrt(3))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3275521 and 25955.\nAnswer: 16377605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c + 12?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f + 1822 - 4622 = 0. Calculate the remainder when 426 is divided by f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1914 (base 11) to base 13\nAnswer: -1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*l - 77812, 3*l = 184*f - 181*f + 116700. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 3. Let g(t) = t**2 - 94. Let h be g(-10). Let o = 6 - 1. Solve o*i = s - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -312 - -293. Find the common denominator of 51\/14 and 16\/(-32) - d\/(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-327)\/(-9) - 4\/12. Suppose 0 = 22*l - 234 + o. Suppose 4 = 2*b - 3*w - 0, -2*b = -2*w - 6. Solve 0 = -b*j + l*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {h: 2, d: 1, k: 2, t: 3, z: 1, a: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6372936l to millilitres.\nAnswer: 637.2936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from ififuquqfuqufqq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209345 is divided by 1092?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -94024 divided by 292?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9704015km to millimeters.\nAnswer: 970401.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p - 2*l - 7 = 0, 2*p - 3*l = 0. Let n be (-32)\/(-18) + 1 + p. Let o = -27 - -27.1. Which is the closest to o? (a) -5\/2 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 - -2?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away 5.82997?\nAnswer: -6.52997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**7\/294 - 13*k**6\/105 + 3*k**5\/5 - 43*k**4\/42 + 29*k**3\/42 + 1928*k. Let h(n) = 0. Calculate n.\nAnswer: -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 - 6*s - 2. Let f be d(6). Suppose 16*g - 18*g + 298 = 0. Let n = f - g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 8997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**6\/135 + d**5\/90 + d - 5. Let w(m) be the first derivative of f(m). Determine t so that w(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*i**3 + 619*i**3 + 591 - 312*i**3.\nAnswer: 2*i**3 + 591","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2738.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 28*g**2 + 2*g - 32. Let j be s(28). Suppose -j*k + 29*k = 25. Solve -q = 4*a + 2 - 8, -12 = -k*q - 2*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide ((-8)\/(-6))\/(-9 - 12016\/(-1335))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27 - 0 - (-26)\/26. Solve 0 = c + z - 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20909291 to the nearest integer?\nAnswer: 4573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26194 and 251853.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1558768 or 1558772?\nAnswer: 1558768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 18329.0149 to zero dps.\nAnswer: 18329","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1425 and 2402550?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 12*a**2 + 26*a - 10. Suppose -11*g = 8*g + 266. What is the remainder when 34 is divided by l(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 5, w: 1}. Give prob of sequence wnh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: (4 - 8 - -3) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 7. Let f = v - -8.7. Suppose 4*w - 30 = -46. Which is the third biggest value? (a) 0.1 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 3. Let g(a) = -38. Let s(u) = -13. Let z(m) = 4*g(m) - 11*s(m). Let d(f) = 5. Let p(t) = 7*d(t) + 4*z(t). Determine -n(c) - p(c).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = 0, -4*s = 5*z - s + 4. Let b be (z - 0)*(6 + -3). Suppose -b*x + 16 = x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q + 812 - 3*q**2 - 3*q**2 - 11*q**3 + 5*q**2 - 807. Does 28 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 - 1. What is the least common multiple of o(5) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*x - 3*q - 15, 0 = -2*x + 4*q + 30. Let g = -19 + x. Let y(f) = -f**2 + 6*f + 3. Let r be y(6). Put -4, g, r in decreasing order.\nAnswer: r, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 3\/8 (c) 985\/2 (d) -619 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32627 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diuv when four letters picked without replacement from {a: 3, n: 1, d: 2, i: 1, v: 12, u: 1}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3419, -14767, -33681, -60161, -94207?\nAnswer: -135819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4)\/(o*o\/(o\/((o\/(o*o**(1\/10)\/o))\/o)*o)*o) assuming o is positive.\nAnswer: o**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 47.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*k - 128, 0 = 9*k + 234*l - 239*l - 248 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*t = -5 - 37, -2*b + 2*t + 74 = 0. Let y = b - -3. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1.5. Let r be (-13)\/(-2) - 12\/8. Let u = 0 + r. What is the closest to 2 in -2\/5, l, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703258 greater than or equal to 5703258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1085 + 1085.06. Put n, 0.3, -1.9 in increasing order.\nAnswer: -1.9, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from bggbbbbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from zzpzppppzz?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, a: 11, b: 4}. What is prob of sequence aaaa?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, -341, -7, 4, 10.\nAnswer: -341, -7, -5, -3, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 437 - 259. Let c = d + -177.897. Let b = 0.049 + c. What is b rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 567 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -31. What is the remainder when -16*((-3)\/(-2))\/(-1) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 363, 373, 399, 447, 523, 633, 783, 979?\n\"Answer: s**3 + 2*s**2 - 3*s + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 21*x**2 - 97*x + 75.\nAnswer: (x - 3)*(x - 1)*(x + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from qnnqnnnnnnnnnnnnnq?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -3. Let j(c) = -6*c - 80. Let r be j(-14). Let d be (-1)\/b + (-6)\/r. Is 1\/4 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 7 - (-5 + 7 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5668*l**4 - 2*l**2 + 58763.\nAnswer: 22672*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148524374, -148524377, -148524380, -148524383, -148524386?\nAnswer: -148524389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1980 or 114837\/58?\nAnswer: 114837\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 470674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1637495859\/11572 - -141505. Let n = -6630761\/57860 + x. Let g = -114 - n. Sort g, -1, -3 in descending order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35268 - 35260 + 7*s - 5*s.\nAnswer: 2*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (2 - -15)\/1. Suppose 0 = 5*r - m + 1. Let l be (r\/6)\/((-1)\/(-4)). Sort l, 0, 5.\nAnswer: 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9774 (base 14) to base 2.\nAnswer: 1100100001011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -3*s**2 + 1\/560*s**7 + 1\/8*s**3 - 3\/160*s**5 + 0*s + 1\/320*s**6 + 0 - 1\/64*s**4. Factor t(d).\nAnswer: 3*(d - 1)**2*(d + 1)*(d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1808*a - 1820*a + 5408*a - 1780*a + 223*a**2 + 69*a**2.\nAnswer: 292*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 736756 - 7?\nAnswer: 736747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*y**3 - 10*y**2 - 65*y**3 + 10*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/9 - 74*v**4\/9 + 95*v**3\/3 - 352*v**2\/9 + 140*v\/9 = 0 for v.\nAnswer: 0, 1, 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28, -146, -458, -1060, -2048, -3518, -5566, -8288?\n\"Answer: -16*h**3 - h**2 - 3*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 6*h + 2. Let c be f(5). Suppose 0 = 12*s + 10 - 46. Suppose -s*v + 13 = 10. Is v at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + i - 451 + 473 = 0, 0 = 3*r - 4*i + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + a + 5 - 21, -3*a = 2*b - 20. Solve 19 = b*d + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -627 - -1652. Calculate the highest common divisor of s and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.46 - -29.54. Which is the third smallest value? (a) -8 (b) 5 (c) o (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-12))\/(4\/(-3)). Let t = w - 3\/4. Let b = -973 + 979. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 62\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1)*2\/4. Suppose t = 2*s - 4*f - 14, -3*f = -s + 6*s - 9. Let q(r) = r**2 - 3*r - 4. Let x(n) = -n**2 + 2*n + 3. Determine s*q(i) + 4*x(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2215 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7)*w**4*w)\/(w\/(w**(2\/5)\/w*w)*w)**(-46))**(-39) assuming w is positive.\nAnswer: w**(-106704\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -233584.\nAnswer: -233583.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5533869 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*z**4 - 34359*z**3 + z**2 - 4350*z + 469 wrt z.\nAnswer: 1488*z - 206154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -1 - -1*30. Suppose -8 = -4*l - d. Let p(k) = -4*k - 5. Is p(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**2 + 4*t**2 + 6*t**2)*(t - 3*t + 3*t) + (0*t**3 + t**3 + 2*t**3)*(-1 - 1 + 0) as d*t + h*t**2 + a + o*t**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(18 - 6). Suppose 0 = -3*b + z + d, -z - 4 = -2*b - 0*z. What is s in 2\/5*s**3 - 2\/5*s**5 + 0 + 0*s**b + 0*s**4 + 0*s = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (380\/(-1))\/(38\/(-95)). Let w = l + -356. Does 54 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41*-0.25\nAnswer: -0.1025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6838 divided by 1341\nAnswer: 6838\/1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16482\/5 + 3316. Let i(h) be the second derivative of 0 + v*h**2 - 31*h + 1\/15*h**4 + 28\/15*h**3. Solve i(f) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21590745*o**3*z + o**3 + 6*o**2*z + 2*o**2 + 2*o*z + 768*z + 24 wrt o.\nAnswer: 129544470*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 27\/(810\/37644) + 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(-5*sqrt(160)))\/((sqrt(100) + sqrt(100)*-2 - sqrt(100))*-2 + sqrt(100)) + 1)**2.\nAnswer: -sqrt(2)\/250 + 125001\/125000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 3*h + h + (1 + 4 - 7)*(-2*h + 0 + 0) + 2*h - h - 3*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:10 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904 divided by -136?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 12 = -m, 0 = 4*k + 5 + 7. Solve -c - m*l + 6 = -2*l, 0 = 2*c - 5*l + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/113 + 1560\/1243. Let x = -138 - -460\/3. Find the common denominator of r and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 5*z - 927155 = 18*t, 3*t + z - 556293 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x + (-1 - 4 + 3)*(-2*x + 2 - 2) - 3*x - 3*x + 0*x)*(7 - 7 - 2*x)*(-104 - 22*x**3 + 104).\nAnswer: -44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230882 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228*g**5 - 3*g**2 + 50?\nAnswer: -13680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -466 - -472. Let m(h) = -h**3 + 6*h**2 + 7*h - 37. Let j be m(o). Suppose -27 - 13 = -5*q. Solve -w = -7*d + 4*d - j, 4*d = -q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -25*k + 32. Is 31 a factor of k + -2*(-3 - (-2196)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12 = -13. Suppose v*k = 5*j, -k - 3*k = -j - 3. Which is the second smallest value? (a) -1 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -314 + 386. Let u be 0*6\/o*6. Determine v, given that 2\/17*v**3 + 2\/17*v**2 + u*v + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Let l(u) = -2. What is -3*l(w) - q(w)?\nAnswer: -2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.47 - -0.1. Let u = -0.07 - z. Let t = -3.2 + 3. Sort u, t, -0.3.\nAnswer: -0.3, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-22)\/5093)*(1 + 1). Let i = -459 + t. Solve 5 = -i*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 4 = -29*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 3. Suppose -5*l - 4*t - 90 = -0, -4*l - 113 = -5*t. Let o = -25 - l. Give q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + f**2 + f + 2. Let p = 2 - 4. Let a be n(p). Let i be 288\/(-160) + (-1)\/5. Sort a, i, -5 in descending order.\nAnswer: i, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + 749\/(-252)) - (-6)\/(-27).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 141) + (-64 - -130).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 301612239 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {r: 12, w: 6}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*6\/((-54)\/(-15))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63268, 126541, 189820, 253105, 316396, 379693?\nAnswer: 442996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 1786 = 1732 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 + -22.59. Let i = -23 - z. Which is smaller: 0.019 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -3*y**6\/160 + 3*y**5\/80 - y**4\/32 - 16*y**3 + 47. Let s(u) be the third derivative of f(u). Factor s(l).\nAnswer: -3*(3*l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 + -213. Let l = -96 - d. Put -5, -3, -2, l in ascending order.\nAnswer: -5, -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - k - 1. Let v be r(0). Let m be 1\/(v\/(-7)) - 2. What is the third derivative of 3*a**5 - 1 - 6*a**m + 3*a**2 + 1 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*h*u**3 + 32*h*u**2 + 17875*u**3 wrt h?\nAnswer: -97*u**3 + 32*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1300) + sqrt(1300) + 5)*-3 + -1*(sqrt(1300)*-3 + 0 + sqrt(1300)))*5)**2.\nAnswer: 30000*sqrt(13) + 525625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20434 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: Multiply 3 and -9983096.\nAnswer: -29949288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/10, -59, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3*c**2 + 3*c + 4. Let v(h) = -3*h + 52. What is the remainder when v(5) is divided by t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.9 plus -0.024?\nAnswer: 26.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -43, -74, -111, -154, -203, -258?\n\"Answer: -3*w**2 - 16*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 + 22*h**2 - 12*h - 1. Let b = -1078 - -1072. Calculate j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + -12?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19913\/65 + (-42)\/273. Let h = b - 309. Find the common denominator of h and 8\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -616\/9*c + 2\/9*c**2 + 47432\/9 = 0. Calculate c.\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17256 by -5752.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 6. Suppose 7*o - 16 = u. What is the remainder when 14 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**6\/240 - o**5\/40 + o**4\/16 - 23*o**3\/3 - 66. Let s(r) be the third derivative of w(r). Factor s(y).\nAnswer: 3*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -23) + ((-23436)\/(-171))\/7 + -11.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*z - 42, 29 = 3*z + 6*b - 4*b. Let f be (3\/(-6))\/(2\/(-4)). Sort f, -3, z.\nAnswer: -3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25731145 = 25731147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3255.653 to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 7*o**2 + o - 8. Let w(j) = -2*j**2 - 4*j. Let a be (9\/(-6))\/((-1)\/(-2)). Let v be w(a). Is m(v) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/((-567)\/18))\/((-4)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -36\/71?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2453 and -39\/223.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89894*g**5*p**2 + g**4*p + g**2*p**2 + 18*g**2 + 26*p**2 wrt g.\nAnswer: 5393640*g**2*p**2 + 24*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 104\/10*(51 - -14). Calculate the remainder when 14\/(-49) - q\/(-14) is divided by 15 + 1 - (-18 - (9 + -26)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -964*v**2 - 180 - v + 773*v + 180 wrt v?\nAnswer: -1928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*w - 36, 32518*w - 2*y = 32517*w + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 z when three letters picked without replacement from opbzkzl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 16*t - 36. Calculate b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -36*s - 9. Let p be f(-2). Let z = p - 62. Put -1, -4, z, -0.4 in decreasing order.\nAnswer: z, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 728918. Let k(m) = -m. What is h(k(q))?\nAnswer: -3*q - 728918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*g - 2*o = -29, -5*o = -g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171)\/(-6))\/(((-10860)\/40)\/181).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 177 divided by 59\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 1 r when three letters picked without replacement from {o: 1, r: 2, a: 1, f: 1, e: 1, z: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 3 + 0*a + 0*a**3 + 1\/2*a**4 - 75*a**2. Let n(u) = 29*u**2. Determine r(n(d)).\nAnswer: 348*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7380 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 4\/(-2)) + 0. Let o(y) be the second derivative of -2*y - 1\/2*y**3 - 2*y**2 + 1\/12*y**4 + a. Calculate o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/25, -1, -7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4454, 8909, 13364?\n\"Answer: 4455*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 3*f**2 - f - 1. Let r be u(-3). Let n = 7 - 5. Suppose t = n*t + r*j - 22, -2 = -j. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2489343675 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -43691788\nAnswer: 305842516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5689*o**3 - 28*o**2 - 18*o - 3. Let f(p) = -22755*p**3 - 112*p**2 - 71*p - 12. Let a(c) = 15*d(c) - 4*f(c). Find the third derivative of a(y) wrt y.\nAnswer: 34110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 6*i - 42 + 106 = 0, -5*d = -2*i + 48 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 308460062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqd when three letters picked without replacement from qwwwwdwdwffwffdaw?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anas when four letters picked without replacement from anaas.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**3\/8 + 615303*q**2\/8 - 11076183*q\/8 + 49843917\/8 = 0.\nAnswer: -205119, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4200*z**2 + 344195*z + 16810 = 0. What is z?\nAnswer: -41\/840, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1040777 + -4.\nAnswer: -1040781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 + 2*q**2 + q + 282. Let o be u(0). Suppose -o = -y + 4*v, 5*y + 2*v = 3*v + 1486. List the prime factors of y.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2*x**3 + 21*i**2*x**2 - 162*x**3 wrt i?\nAnswer: 2*i*x**3 + 42*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 20*c + 38. What is r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11458, -46480, -105054, -187180, -292858, -422088?\n\"Answer: -11776*m**2 + 306*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1319 + 1843. Calculate the remainder when w is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjquz. What is prob of picking 1 z and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -44. Find the second derivative of 15*o + 0*o**r + 2*o**2 + 18*o**2 - 4*o**2 wrt o.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 + -8 - (-1 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 426 + -406. What is the lowest common multiple of 220 and u?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (10 - 2) - (186 - 191)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**6\/840 + b**5\/210 + b**4\/24 + 2*b**3\/21 + 6*b**2. Factor z(c).\nAnswer: -(c - 4)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**3 + 0 + 0)*(-4527 + 2559 - 3680) to k*d**2 + z*d**3 + y*d + c and give z.\nAnswer: 11296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46450, 12, 3\/8 in decreasing order.\nAnswer: 12, 3\/8, -46450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 - 21 - -19 - 18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -68*p - 546. Determine n(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 + 7*h**2 + 11*h + 5. Let a(v) = -2*v**3 - 4*v**2 - 5*v - 2. Give -5*a(z) - 2*n(z).\nAnswer: 4*z**3 + 6*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*j = 989, 6 = -2*j + 4*j. Suppose 2*s + 178 = 3*i, 5*i + 2*s - 74 = v. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, l: 4, b: 4, g: 4}. What is prob of picking 2 f and 1 g?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39\/4 - 49. Let l = 40 + v. Which is the biggest value? (a) 3 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 1:48 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y - 1906645*y**2 + 1906645*y**2 - 168*y**3 to w*y**2 + c*y**3 + q*y + l and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 3*s + 14 + 16 - 48 + 19.\nAnswer: -6*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x + 5*p = 0, 3*x + 2 = -4*p. Suppose -x*h = -4*d + 798, -d - h + 1015 = 4*d. Suppose 44 = -2*g + d. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -48?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 1668 = 18*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 + 4*d**2 + 5*d + 5. Let p(n) = 10 - 9*n**3 + 25*n**2 - 2*n**3 - 16*n**2 + 4*n**3 + 11*n - n**3. What is 9*m(i) - 4*p(i)?\nAnswer: -4*i**3 + i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 6. Suppose 4*f = 5*q - 3, 6*f + 3*q = 8*f + 3. Let s(a) = -6*a + 7. What is f*s(m) - 4*k(m)?\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102210 = -59*j + 22162. Is j a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1)\/((-3)\/(-45)). Let q = -14 - n. Solve -s**2 - 2 + 5*s**2 + q - 3 = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 12*t**2 + 10*t - 5. Let q(y) = -y**2 - 36*y - 191. Let b be q(-30). Let d be c(b). Solve -d = 2*f + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 36. Let v be z(15). Suppose -5*b = v - 109. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 55400937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/8)\/(74\/296)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7494*t + 5516*t - 6609*t + 19055*t + 5275*t.\nAnswer: 30731*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 1630*a - 4 - 1630*a - 4 + 8.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 238419227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 4\/3*h**3 + 0*h - 1\/5*h**4 - 8\/5*h**2 - 67. Factor q(k).\nAnswer: -4*k*(k - 4)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 83. Let l(x) = -14*x - 35. Let i(k) = 9*k + 23. Let p(z) = -8*i(z) - 5*l(z). What is the units digit of p(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 7*k**4\/24 - 2*k**3\/3 + 7*k**2. Let h(r) = -r + 1. Calculate -c(x) - 4*h(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 3:17 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9332841.\nAnswer: 3, 7, 444421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 39550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13249 = 38*u - 1001. Let t be ((-10)\/(-4))\/(-5 + u\/45). What is q in -t*q + 1\/4*q**2 + 1\/2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1225 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7*(0 - -1) - (-2068)\/12*60\/220\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1858411570 + 1858411655.9999959. Let l = 86 - m. Round l to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -19\/5, 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 18 + -10 + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/16)\/((-5)\/(-20)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 11. Let i be u(9). Suppose -3*k = i*j - 1, -2*j - 3*j + 2*k = -12. Find the third derivative of j*b**2 - 5*b**3 + 0*b**2 - 3*b**2 wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - -2*20\/8. Let z(g) = -2*g - s + 3 + 0*g - 6. Let j be z(-5). Solve 5*t + q + 7 = j, -q + 0 + 3 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-28)\/(-12))\/7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 7. Suppose -2 = -t - 8. Let g be m(t). Let z be 0 - (g + 3\/3). Is z at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 8:10 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6944 and 651?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/6 - (-1)\/6. Let k be 2 - f\/4 - -3. Calculate the greatest common factor of k and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -65. Let n(c) = 2*c**3 - 2*c**2 + 4*c - 2. Let a be n(b). Let d(z) = -z**3 - 3*z**2 + 2*z - 4. Let r be d(-4). Solve 6*h + r = a*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 691 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 85, 410, 3.\nAnswer: -5, 3, 85, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.7 + -51.69. Put -1, v, -2.8 in decreasing order.\nAnswer: v, -1, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 325\/14196*823 + -19 - 2\/(-39).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 35 = -4*n, 15*n = 13*n - 3*l + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:24 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -32) + 0 + 17 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from ulvjjvvjjvo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 5*h - 6. Let t be o(2). Solve t = v + 2*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 809 and -0.0213538.\nAnswer: -17.2752242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000209 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - a**2 + a. Let x(h) = -74*h**3 - 3*h**2 + 4*h + 26. Let d(t) = 3*w(t) - x(t). What is the derivative of d(r) wrt r?\nAnswer: 240*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-132)\/16 + (-136)\/(-17). Let r be (-43)\/(-140) - (-1)\/(-4). Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 26*o**2 - 49*o + 24.\nAnswer: -(o - 24)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819981193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89 and 7?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, -5, 0.1, 1237\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*a**2 - 3 + 3.\nAnswer: -85*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*p - 5*p**2 + 16*p + 29*p**2 wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3331.67 minus -53.0888?\nAnswer: 3384.7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5517178 to the nearest integer?\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1513, 1518, 1527, 1540?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-8)\/c))**(2\/77)\/((c**(-2\/31)\/c)\/(c*c**(-22)\/c)))**2 assuming c is positive.\nAnswer: c**(-98830\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/76)\/(1\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9974*t + 162201 - 441027 = 568964 for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 18 = 0. Suppose -29*a - 15*a + 203 = -10797. Suppose -p - a = -y*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/1)\/(-6) + (-1)\/2. Which is smaller: -8\/29 or l?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + l + p = 0, -3*p - 1 = -l - 0*l + 15 - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d**2*i**3*y + 9264*d**2*i*y**2 + 2*d**2*y - 3*d - 4*i**3*y**2 - 5*i**3*y + 24*i wrt y.\nAnswer: 18528*d**2*i - 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*r - 12068 = -146*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12cc8 (base 16) to base 5.\nAnswer: 4431000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2987633, 5975264, 8962895?\nAnswer: 11950526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 5*t - t + 28 = -3*c. Let v be (t + (-36)\/(-8))*2. Sort v, 1, -3 in decreasing order.\nAnswer: 1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/((h*h**(-5\/2))\/h))*h**(-2\/5))\/(((h\/h**(-5))\/h*h)\/h**(1\/9)))**(2\/13))**(-2\/27) assuming h is positive.\nAnswer: h**(1582\/15795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -i - 12, -i + 24 = w - 3*w. Let s be 52\/10 + (w\/30)\/2. Solve -7 = -s*m - 2*q, -2*m - q = -0*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*v - 36 = -126*v + 4*g, -4*g = 4*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3198923001?\nAnswer: 3, 691, 514379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2200905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 633 or 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-103 - -99) - -83\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**2)\/(m\/m**(-6)))\/(m**1)**27 assuming m is positive.\nAnswer: m**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/70)\/((36\/(-40))\/(-9))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -578*i**3*v**3 - 14*i**3*v + 4*i**2*v + i*v**3 + 55852*v**3 - 2260*v**2 - 212*v wrt v.\nAnswer: -3468*i**3 + 6*i + 335112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 24.94. Let z = 181 - 69. Let n be (-4)\/6 - z\/(-105). Which is the closest to k? (a) -1 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + (1 + sqrt(325) + sqrt(325) - sqrt(325))**2 - (-3 + sqrt(325)*-2 + 4)**2)*-4.\nAnswer: -120*sqrt(13) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, -3, 123.\nAnswer: -13, -5, -3, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -36*f**2. Let c(h) be the second derivative of h**3\/6 + 71*h. Give c(g(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 27 = 15*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*j = -92, 3*j + 102 - 33 = 4*g. Let t be (3\/2)\/((-22)\/(-6996)). Calculate the highest common divisor of t and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 20 = -w, 159 = -4*w - 2*a + 199 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:14 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*v**2 + 97*v**2 + 4*v**3 - 43*v**2 + 27.\nAnswer: 4*v**3 - v**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*h + 165*h + 2 = 2*s, 5*h = -4*s - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*w = 7*b - 56, 43 = 5*b - 4*w. Solve -3 = -4*j + 3*i + 16, -4*j = 3*i + b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 18*l**2 + 53*l + 71. Is b(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -12. Suppose -c*i = i + 500. Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i**2 - 5*i + 1. What is a(-4)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-746*k + 885*k + 854*k)*(-2 + 0 + 0)*(0*k - 5*k + 3*k).\nAnswer: 7944*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354 - -371. Suppose 14*o - 21 = i*o. Let m(q) = q + 15. Determine m(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**5 + 6615*o**4 - 3643146*o**3 - 3788670*o**2 + 76348557*o + 164242215 = 0.\nAnswer: -3, 5, 1103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:43 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 61 = -5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29997.7 - 29998. What is the nearest to -5\/2 in -4, -1\/3, -10, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 - 96. Let m(z) = -z**3 + 8*z**2 - 9*z + 9. Calculate m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q - 5. Let l(g) be the first derivative of -2*g**3\/3 + 99. Determine u(l(s)).\nAnswer: -18*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**5 + b**3 - b**2 - b + 1. Let t(j) = -4*j**5 - 3*j**3 - 3*j**2 + 24*j - 2. Let a(m) = -3*p(m) - t(m). Find the second derivative of a(c) wrt c.\nAnswer: 20*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j - 3*j**2 + (5*j**2 - j**2 - 10*j**2)*(3 - 1 + 3).\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639607 is divided by 4244.\nAnswer: 3007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s**2 + 10*s - 10*s)*(s**2 - 3*s**2 - 4*s + 3*s).\nAnswer: -28*s**4 - 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -42*p**3 + 71*p**2 - 80*p + 16. Determine d(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104706081*v**5 + 17978*v**2 + 10*v + 27 wrt v.\nAnswer: -6282364860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522956 is divided by 1944.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, y: 3, q: 1}. What is prob of picking 1 y and 3 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8036937469434 - 0.047.\nAnswer: -8036937469434.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 3 - 4*s**2 + 1 - 4*s**2 + 3*s. Let a be u(-3). Let i = 327 + a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(1\/5))\/u)\/(u**3*u))\/((u\/(u**6*u))\/u*u**(-3\/2)\/u))**21 assuming u is positive.\nAnswer: u**(1197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62552, -125102, -187640, -250160, -312656, -375122, -437552?\nAnswer: -499940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 5*h + 3. Let q be g(-2). Suppose -4 = -4*v + 4. Sort -4, q, v in descending order.\nAnswer: v, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrbrrkk. What is prob of sequence rkb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.89*17924.\nAnswer: 33876.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/5)\/((-144)\/(-360))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*i**3 + 5*i**3 - 7*i + 15*i**3 - 12*i**3 wrt i?\nAnswer: 150*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, -1, -94, 3, -267 in decreasing order.\nAnswer: 17, 3, 1, -1, -94, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 734210.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278823 + 203385 = -5490*b - 912 for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1598 and 1\/282.\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 5*i**8\/336 - i**4\/12 - i**2 + 4*i. Let l(u) be the first derivative of z(u). Find the second derivative of l(t) wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -57727051?\nAnswer: 57727047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 1 (b) 35\/478 (c) 18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. What is the second derivative of d*w - 7*w + w**5 + 4*w**5 + 4*w wrt w?\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Suppose 4*w = 3*k + 9 + 7, w = 2*k + 9. Let j be 5\/(-3) - k\/(-12). Let s be l(j). Solve 3*b + 5*d = 19, s*b - 2*d - 5 = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 462.41 + -0.2.\nAnswer: 462.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19682 - -19695 - (2 + 35 + 2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Let d(b) = 10*b**2 + 3*b + 5. Let o(j) = 11*j**2 + 4*j + 6. Let u(x) = 4*d(x) - 3*o(x). Calculate 6*c(w) - u(w).\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -568*d**2 + 28 - 446*d**2 + 34 - 62. Let w(c) = 2*c**2. Calculate r(w(y)).\nAnswer: -4056*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29160531 a multiple of 1773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-35)\/65))\/(3 + 3) + (101 - 102).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 11*g**3\/6 - 41*g**2\/2 - 2*g + 16. Calculate the remainder when d(6) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/42 + 0)\/((-385)\/(773465\/(-861)))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476251529 to the power of 1\/2, to the nearest integer?\nAnswer: 21823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Suppose t = -g*t + 3. Suppose 7*k + 4 = s + t*k, 3*s = -5*k - 22. Is s less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o. Let v(a) be the first derivative of a**3\/3 - 1. Give n(v(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2. Let x(w) = 5847504*w**2. What is c(x(a))?\nAnswer: -68386606060032*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d, 3*u - 185 - 304 = -4*d. Let l = 177 - u. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/144 - (-1)\/6. Let h = -32\/7 + 5. Which is the nearest to h? (a) -1 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2043124 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 621927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0078853761 to 6 dps.\nAnswer: 0.007885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -181\/6*r**3 - 9*r**2 - 7\/12*r**4 + 0 + 0*r. Differentiate c(x) wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -33641?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = 5*g, g = -4*v + 1 + 6. Suppose -650 = -4*o + 5*h - 83, v*o - h - 439 = 0. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -125, -124, -123, -122?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -483*w + 71. Let v(q) = -1450*q + 214. Let p(l) = -7*i(l) + 2*v(l). Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 1104 = -109*a. Calculate the remainder when 180 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 30. Find the third derivative of 16*t**6 - 39*t**2 - r*t**6 - 31*t**6 wrt t.\nAnswer: -5040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111864675+23.13464\nAnswer: 111864698.13464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/14 and -149\/324.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 a when three letters picked without replacement from {g: 5, z: 5, a: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19873079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/(((-24)\/18)\/2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4114*d - 49. Let v(c) = -4115*c + 61. What is 5*g(w) + 4*v(w)?\nAnswer: 4110*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 1. Let b(w) = -2*w + 5. Let k(s) = b(s) - 5*y(s). Determine k(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3154*x - 107648 = -215980 - 282764 for x.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 - 2. What is y(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 402823650 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/7? (a) -1\/4 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**4 + 10186458*t**3 - 8647004068551*t**2 + 17293814594604*t + 129704755435380 = 0.\nAnswer: -3, 5, 1697742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3337650775 to the nearest integer?\nAnswer: 57772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/h**(1\/6))\/(h\/h**(-2\/23)*(h\/(h**(-3\/8)\/h))\/h) assuming h is positive.\nAnswer: h**(1861\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 2\/((-8)\/20). Factor 2\/9*x**2 + 0 - 2\/9*x - 2\/9*x**4 + 2\/9*x**z.\nAnswer: -2*x*(x - 1)**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c5 (base 15) to base 12.\nAnswer: -1028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 172\/(-10) + -3 - (-241 - -222)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*d - 7, 12 = 4*b - 2*d - 2. Suppose -4*t + 11 = -b. Suppose -t = 4*u - 152. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 9:01 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130\/70 - (0 - -2). Let g = 0.7 - 0.4. Let j = -0.5 + g. What is the third biggest value in u, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, 10*n - 5*n = -2*u + 16. Let k = 0 - u. Which is the nearest to -1? (a) k (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(44) + 4.\nAnswer: 4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (100 - 119) - (0 + -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 - 4.9. Suppose 4*x + 4 + 12 = 0. What is the nearest to x in w, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.1 - 14.1. Which is the nearest to 1\/4? (a) -4 (b) d (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-12 - 3) + 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z + 12 = 30*z. What is the smallest common multiple of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*b + 34. Suppose -y + 0*v - 7 = -2*v, 4*v - 35 = -5*y. Let a = 5 - y. What is the smallest common multiple of a and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41088 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -20\/13, 4, -5\/2, -0.5 in increasing order.\nAnswer: -5\/2, -20\/13, -0.5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 37. Suppose 0 = 7*r - 3*r. Let j be r\/(-1 - (-2 - 0)). Solve -3*l - 9 = j, -o = a + a + 3*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 24) + (3 - -6)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3 + 3*c**4 + 3 - 3*c**2 + 1 + 3*c + 3*c**3 - c**4. Let b(g) = -g**4 + g**3 - g**2 + g + 1. Let v(s) = -3*b(s) + j(s). Differentiate v(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 4\/7, -4246, -0.2, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*t = 6, -4*j - 5410 + 5392 = -5*t for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h. Let k(v) = -7*v + 1258. Give c(k(f)).\nAnswer: 98*f - 17612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -33. Suppose -5 = 2*r + h, d = r + 3*r - 2*h - 10. Suppose -q = 3*z - 81, 3*q - 2*z - 210 = -r*z. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*c - 1882 + 5158. Solve -25*n = -c*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**3 + f**2 + f. Let j be d(-1). Let t be j\/(-15)*10\/(-4). Let u = 10.2 - 11.2. Which is the second biggest value? (a) -7 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**22\/l**(17\/3))\/(l**(-17\/6)*l**(-18)))**(-44) assuming l is positive.\nAnswer: l**(-4906\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let o(k) = -2 + 2*k - t*k**3 + k**3 + 4*k**2 - 2*k**2. Let f be -2*(-4 + 1 + 2). Calculate o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*u - 1311, -8*o - 6451 = -3*o - u. Let s = o + 530. Round s to the nearest 10.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 - 28 = 0. Let u be 76\/w - (-2)\/(-5). List the prime factors of 30\/u*4\/(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.14 + 0.49. Let p = 2.35 - l. Which is the second biggest value? (a) 1 (b) -3 (c) p (d) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = -3*l. Suppose l*q = 4*o - 319, 2*q + 104 = q - o. Is (q\/6)\/((-2)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x + 3 - x**2 + x**3 + x + 3 + 0*x**3. Is n(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29884 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 smaller than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 4, e: 4, d: 5}. What is prob of picking 1 t and 3 e?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-181*z - 192*z - 6 + 343*z)*(1802 - 1801 + 241*z + 17*z).\nAnswer: -7740*z**2 - 1578*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/17 - 18902*l**2\/17 = 0.\nAnswer: 0, 9451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -384 + 385. Is (3269\/5 + s)*(-10)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {l: 2, z: 5, b: 3, r: 5, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -r + 3*w - 6*w, 3*r - 3*w - 42 = 0. What is the greatest common divisor of 96 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:20 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 17*u**5\/60 + 7*u**4\/24 + u**3 - 21*u**2 - 1. Let k(l) = l**2 + l + 1. Calculate h(d) - 6*k(d).\nAnswer: 11*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q*q**6)**(-10))**29 assuming q is positive.\nAnswer: q**(-2900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -676*v + 679*v + 11*i - 47023, 2*v - 3*i = 31297. Is 152 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 35*o - 57. Let r be m(6). Let f(n) = -n**2 - 11*n - 1. Let j be f(-9). What is the greatest common factor of j and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117727 < -470907\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49493947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (24\/(-502))\/2. Let f = -627958 - -627958. Which is greater: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n = -13 - 194 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16368236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 14*c + 29. Suppose 10*x = -30 + 220. List the prime factors of d(x).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 - 0.26. Let v = 18137\/5239 + -2\/5239. Let t = v + -277\/65. What is the third biggest value in k, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b)**(-48)*(b*b*b**(-2))\/b**(-4) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 48 = -26*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 9, 3*w - 3*u + 24 = 6*w. Suppose -j - 2*j - 4*z = -83, -w*j + 3*z = -177. Suppose 7 - j = -2*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7551305 is divided by 541.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -628 (b) -2 (c) 11.3 (d) 5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1638428296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 100, -3, -7, 4 in increasing order.\nAnswer: -7, -5, -3, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -24\/13, 1\/4, -7, 1, -1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 1, k: 1, p: 1, y: 1}. What is prob of picking 1 x, 1 p, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.8935715 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353055769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10000240 (base 6) to base 3\nAnswer: 112020010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -25427042.\nAnswer: -25427041.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(((-21)\/7)\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(45))**2 + 4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1028400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*v**6 + 5923*v**4 - 95*v**2 - 36*v - 1.\nAnswer: 13200*v**3 + 142152*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-12 + 1 + 2). Solve d = -a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*v - 132 = -491*v. Let w be 33\/99 - 10\/v. Let -30\/7*k + 27\/7 + 3\/7*k**w = 0. What is k?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + 1 + -35 - (1 - (8 - -66))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.584 - -0.084. Let m = -10.9 + j. Let w = m - -17. Which is the second biggest value? (a) -5 (b) 4 (c) -2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6262.\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -29*j**2 - 2. Let r(g) = -1 + 341*g**2 - 423*g**2 + 169*g**2 + 6. Determine 8*q(w) + 3*r(w).\nAnswer: 29*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160 + 2462*p**2 - 246*p**2 - 680*p + 678*p wrt p.\nAnswer: 4432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19854009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 5, v: 1, z: 7, l: 2}. What is prob of picking 1 l and 1 v?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5919592 divided by 6.\nAnswer: 2959796\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 62 = -2*z, 2*z = -2*a + 5*z + 48. What is the greatest common factor of 7830 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 81 = -25. Suppose 4*m - 64 - r = 0. What is the remainder when 45 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 2*m - 5. Let p be w(4). Suppose -p*k - k = -224. Let i(q) = -q**3 - 3*q**2 + 4*q - 11. What is the remainder when k is divided by i(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-58)*1*(11\/3)\/((-52690)\/(-14370))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxpxvxxxpocucu. What is prob of sequence uv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w - 5*w - 2*w = 0. Suppose 3*u = 7 + 5. Suppose -4*y - u = w, l - 49 = 4*y - 3*y. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(18) - sqrt(7))*6.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -10012021?\nAnswer: 10012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 333 or 153?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -833b6242 - -5?\nAnswer: -833b623a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1*4 - (-4*sqrt(304) - sqrt(19)) - (sqrt(76) - (-2 + -1 + sqrt(76)))**2.\nAnswer: -9 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006449 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -1\/6*q**3 + 0 + 11*q - 5\/2*q**2. Give t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - ((-27)\/(-3) + -6)) + 900\/(-700)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56, 77, 98, 119?\n\"Answer: 21*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*q - 22, 2*u - 4*u = 3*q - 5. Suppose -5*r - 8 = -q. Let x(o) = 0*o**2 + 2*o**2 - 3*o**2 + 3 - 12*o**3 - 2. What is x(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -88791, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + y + 1. Let o(z) = z**2 + 3*z + 1. Suppose -5*k = -w + 6, 3 = w + 4*w + 2*k. Let b(v) = w*o(v) + 2*u(v). Is b(5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*l = -2*a - 1462, -6*a + 3*l = 9*a - 10*a - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -57. Let u = s - 24. What is the remainder when 61 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 48*m + 42. Give a(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95975487.\nAnswer: 3, 137, 77839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16859?\nAnswer: 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -1\/12*w**3 + 0*w**2 + 4 + 1\/4*w. Factor u(j).\nAnswer: -(j - 1)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422 (base 7) to base 6\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93364 - 3277422 = -187*i + 2136092. What are the prime factors of i?\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - (50 + -82)) + -7 + -2?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9423618 and 31\/6?\nAnswer: 9423618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 19. Let i = -17.0000002 - l. Round i to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(45) - -4*sqrt(20)\/sqrt(4).\nAnswer: -5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 429 in 1\/2, -2\/7, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 277*s + 1105. Let q be n(-4). What is the second smallest value in q, 0.4, 2\/3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*d**3 + 393*d**3 - 1356*d**2 + 1356*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 31*z\/3 - 10.\nAnswer: -(z + 1)*(z + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668*x = 1554*x - 169 - 287 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109 * 0.002.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 4*d - 88, 4*d + 4785 - 9563 + 4788 = -2*j - 0*d for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 - 90\/(-21). Let t be ((-5)\/3)\/((-4)\/12). Suppose 0 = -3*h + 2*f - 9, t*f + 0*f = 4*h + 5. What is the third biggest value in h, g, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 7544.\nAnswer: 3\/7544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40523945051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1645*o - 4 + 4.\nAnswer: 1645*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 5:50 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1310054350 - -20?\nAnswer: 1310054410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -23\/13 (c) 1 (d) -2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299604 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2063)\/(-30945))\/((-3)\/(54\/7))*-15.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 16 = 4*i, -i - u + 11 = u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:25 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11706659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020\/2114*((-644)\/5)\/(-4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 2, 1, -13, -7 in increasing order.\nAnswer: -13, -7, -6\/11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 51491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, -12, -4, 0, -2 in ascending order.\nAnswer: -12, -4, -2, 0, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 + 3*d - 1093*d**2 + 1092*d**2 + 2*d + 1. Let c(p) = 5*p**3 + 2*p**2 - 5*p - 1. Let b(o) = 3*c(o) + 4*i(o). Calculate b(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45848407, -45848402, -45848397, -45848392, -45848387, -45848382?\n\"Answer: 5*h - 45848412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189 times -5?\nAnswer: -25945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -86 * -31\nAnswer: 2666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58632 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**5 + 43*g**4 + 185*g**3 + 141*g**2 = 0?\nAnswer: -3, -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.05 - 0.05. Let o = -3 + l. Let a = -1\/20 - 1\/5. Put o, 0.2, a in decreasing order.\nAnswer: 0.2, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -567.791 to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 334?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(-7)\/(-168)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 6*p - 5. Let s be q(-7). Suppose 0*r - d = -r, 5*r = -s*d + 35. Suppose -r*v = -13 - 17. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17994.6 minutes in days?\nAnswer: 12.49625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 5*j - 44, -67*h + 66 = -31*h - 30*h + 5*j for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -0.05026376801?\nAnswer: 1.94973623199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72438308?\nAnswer: 2, 41, 441697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-18) + (-2)\/6. Which is the smallest value? (a) 1\/6 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -750\nAnswer: 9750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.7 + 18. Let k = 38 + -39. Let v be (-3)\/27*-21 + k. Which is the second smallest value? (a) -2 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0635 in -2, -2\/7, 3\/4, 5\/6, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16 - (-7)\/((-42)\/(-66)). Suppose -5*j + 15 = 3*a, 4*j = -a - 0*j - 2. Let q be (3 - 2) + a\/(-2). Sort q, o, 1 in ascending order.\nAnswer: o, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*x + 7 = 22, 5 = -h + 5*x. What is the least common multiple of 378 and h?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156\/67 + 3039\/335. What is the common denominator of -36\/869 and t?\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8135945 + 8135944.9993122186. Let l = w + 354.0008547814. Let x = -354 + l. Round x to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.042, 2\/3, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 2 - 2 + 6. Let b(x) = 1 + 1 + 2*x + 2*x + 5. Let v = 484 + -479. What is v*b(s) - 6*m(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + -4*sqrt(85))*-1 + sqrt(85))\/(2*sqrt(720)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + 76\/12. Let i be 2\/t - ((-198)\/(-21))\/(-2). Let c(h) = -h + 7. What is c(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:33 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**2 - 11*q**3 + 88*q**2 - 29*q**2 - 27*q**2.\nAnswer: -11*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*f - 7, -2*v - 4*f + 5*f = -7. Suppose -p = -v*p. Let n = 9 - p. What is the greatest common factor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -197, -3, -12 in increasing order.\nAnswer: -197, -24, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -173, -53, 81, 235, 415?\n\"Answer: q**3 + q**2 + 110*q - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/16)\/5*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38011 is divided by 298?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-22)*b*b)\/b**(1\/5))\/(b**(-5)\/b**(-15)) assuming b is positive.\nAnswer: b**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (10 + -20 - (-7 + 0))) + 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/67, 1\/6, -1\/4.\nAnswer: -1\/4, -2\/67, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = r. Suppose -a = -r - 95. Let u = a - 69. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*d - 2 = 0, -3*d + 2 = -u + 1. Let k = 18 + -18. Which is the closest to k? (a) 0.3 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-four fifths of a centimeter?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2 + 13*b + 4. Let x(r) = r**2 + r + 1. Let v(k) = 6*x(k) - y(k). What are the prime factors of v(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 95. Give t(22).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 + 199 = 2*b. Solve m - 7 = -b*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + 4 + (1*sqrt(288))**2 + -4.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:16 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1359612 (base 10) to base 5\nAnswer: -322001422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39*-1014371\nAnswer: -39560469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(82*j + 126*j + 131*j - 36*j).\nAnswer: 909*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-1) + 10)\/1. Let q be 0*((-15)\/(-9))\/5. Suppose q = -2*n + z. Solve 5*c = 2*h + 33, -5*c + n*h + 60 = 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298 (base 10) to base 11.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 21*a**2 - 22*a + 3. Let r be l(-22). Let k(j) = 5*j - 4*j**2 - j**3 + j**r - 2*j + 6 - j**3. Calculate k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7195, 9128, 11061, 12994?\n\"Answer: 1933*r + 5262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-48)*(-528)\/44\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, d: 7, q: 5}. What is prob of sequence dan?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4121 - -4121.0084204. What is b rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e56 (base 15) in base 8?\nAnswer: -14716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(4\/8*-1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -142149 at most -142135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:55 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-9) - 16\/(-184)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30795, 61579, 92353, 123117, 153871?\nAnswer: 184615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 22. What is the remainder when 85 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03812722 - 0.037677. Round d to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 379\/8. Let d = x - 31\/40. Suppose -3*z - 4*m + 21 = 0, z = m - 4*m + 12. Which is the nearest to 1\/2? (a) z (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - w, 137*d + 2*w = 140*d - 14. Which is the nearest to 0.2? (a) -2.98 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/737010 and -47\/12.\nAnswer: 1474020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 0*u. Solve 0 = -u*d - 4*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*h = -977 - 16079 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Suppose 0 = o - 2, -l + s*o + 1 = -3. Let n = 12 - l. Let j(b) = 2*b**2 - 6*b + 2. Determine j(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u**10)**36 assuming u is positive.\nAnswer: u**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:09 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/3*(94 + -91). Let u be 1 - (2 - (5 - 3)). Solve -x = -5*z - 6*s + 2*s, -z = 2*s + u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 27625 = 5*l, 0 = -27*o + 28*o - 4*l - 5550. Let r = -3603 + o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 2*y + 9. Let l be k(0). Let r be ((-6)\/2)\/(l\/6). Let d be r - (2 + -3) - -4. Which is greater: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1679 (base 11) in base 10?\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 313. Let q = -268 + v. Solve a - 2*g - 12 = 5*a, 3*a = -q*g - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 d when four letters picked without replacement from deedeeee.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-37)\/(333\/(-130068)))\/((-2)\/(-80)). What is r rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 2*d**2 + 6. Let q(j) = -j**3 - j**2 - j + 1. Calculate 2*q(g) + y(g).\nAnswer: 2*g**3 - 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 412 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 15*k - 10. What is the units digit of x(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/30 - 5*f**4\/2 + 31*f**3\/3 - 75*f**2 - 2*f. Factor v(x).\nAnswer: -2*(x - 1)*(x + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpzp when four letters picked without replacement from {p: 9, m: 3, z: 7}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 - 248*z + 3844 = 0. Calculate z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*n - 60*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 180 = 3*s, 5*s - 260 = -5*d - 0*s. Let c = d + -52. Is 6 a factor of -4 - (c + -3) - -68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 8*w - 6. Let b be y(6). Let s = b - -39. Calculate the remainder when s is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w. Let m(a) = -1481*a**2. What is m(j(i))?\nAnswer: -53316*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-17)*k**(-18)\/k)\/(k*k**(-4)*k**15) assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 9*v**2 - 131*v + 991. What is k(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1300)*2 + 5) + (sqrt(156) - (sqrt(156) + sqrt(156)*-1*1 + sqrt(156) + sqrt(156) - sqrt(156) - sqrt(156)))\/(sqrt(768)*-1).\nAnswer: -641*sqrt(13)\/8 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 2*q + 3*q. Let m(v) = -2695*v - 280. Let g = -225 + 228. Let a(y) = 29*y + 3. Let f(p) = g*m(p) + 280*a(p). Determine f(b(s)).\nAnswer: -70*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 127*z**7\/720 + z**5\/20 + 4*z**2. Let y(d) be the third derivative of i(d). Is y(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2352) + sqrt(48) + 1)**2 + (5 + 0 + sqrt(768))**2.\nAnswer: 288*sqrt(3) + 3869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*i*m*n*q**3 + i + 46*m**2*n*q**3 + 126*m**2*q**3 - 50*m*q**3 wrt n.\nAnswer: -38*i*m*q**3 + 46*m**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491683.1ml in litres?\nAnswer: 491.6831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191409?\nAnswer: 3, 63803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5911.05 months in years?\nAnswer: 492.5875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 84. Let q be d(0). What is the highest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 1\/6*c**4 - c**2 + 0 - 2*c + 0*c**3. What is the first derivative of y(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*z**3 - 11607*l*z - 690064*l wrt z?\nAnswer: 3*l*z**2 - 11607*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-16) + 28\/16. Is ((-1)\/m)\/(31\/(-1643)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -544, 227, 998, 1769, 2540, 3311?\n\"Answer: 771*b - 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1 - 0)\/1. Let z = 3 + a. Suppose -223 - 97 = -z*n. What is n rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = -1014. Let d = v - -1678\/5. Let o = -9\/10 - d. Find the common denominator of o and -77\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 386 = 86. Is i a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 11)\/(-3 + -5 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*x - 409*x - 611*x = 142*x - 63650 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31022 (base 4) to base 2\nAnswer: -1101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - -1)\/(74\/(-111)). Let y = 49 + x. What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34218 and 48?\nAnswer: 273744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 154 + 4*d - 55 to the form i*d + p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/90 + j**4\/9 + 4*j**3\/9 + 8*j**2\/9 + 2*j. Factor c(a).\nAnswer: 2*(a + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -121*n. Let j(a) be the first derivative of 0*a**3 + 3\/2*a**4 - 8 + 33\/2*a**2 + n*a. Find the second derivative of j(y) wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -7*d - 2*d. Let q be 4 + 6\/(4\/d). What is the derivative of 0*r + 13 + 4*r + q wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, e: 4, m: 6}. What is prob of picking 2 y and 1 e?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2. Let b(d) = -178*d. What is a(b(s))?\nAnswer: 63368*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 + 7*q**2 + 4*q + 3. What is z(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3649262797 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -15. Sort l, 4, 15 in descending order.\nAnswer: 15, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188\/(-4606) - -1*((-3440)\/490 + 7)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0726 - -0.07246025. Round y to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t. Suppose -14 = -5*h + 6. Let g = -2 - -4. Let v(f) = 3*f + f - f**g - h*f. What is a(v(z))?\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 - -0.3?\nAnswer: -370.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*4*4)\/(sqrt(252)*3 - sqrt(252)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 54.98659 days?\nAnswer: 4750841.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5085295711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**7\/y)*y**28*y**7\/y**9)**(-25) assuming y is positive.\nAnswer: y**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -74174979?\nAnswer: -2\/74174979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*u = -12, -3*c = 2*c + 5*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n + 144 = 5*o, -5*n + 160 = 5*o. Let w = -16 + o. Calculate the least common multiple of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 21*c - 9. Let m be d(-11). Let h be (-1)\/(-5) + 8\/m. What is the nearest to 2\/7 in -0.5, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -87. Solve 2*w + 0*w - m = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6235 and -6235 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -70. Calculate the highest common divisor of 56 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 5*w**2 + 6. Calculate the remainder when v(6) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)\/m*m**(-3)*m)\/((m\/m**(1\/7))\/(m*m*m\/(m*m\/(m\/m**3))))*(m*m**(2\/9)*m*m**(-1))\/((m*m**1)\/((m\/m**(-1\/3))\/m)) assuming m is positive.\nAnswer: m**(-3548\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*s - 4*z, -5*s + 2*z + 32 = -17. Let r(x) = -x**3 + 10*x**2 - 9*x + 10. What is the least common multiple of r(s) and (-497)\/142*6\/(-21)*8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 - 159*n + 1270. Give q(-41).\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*b + 74, w - 2*b - 36 = -0*w. Let f = w + -28. Let r be (18\/24)\/(1\/f). Solve 2*d - 14 = r*q - 6*q, q - 1 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -48\/5, 2576, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -256013.\nAnswer: -256021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:51 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 2*l**3 + 3*l**3 + 12*l**3 - 22*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.009 - 84.009. Let p = -87 - t. What is the closest to 0.1 in -0.5, p, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 13316?\nAnswer: 13315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 3*c**2 - 3*c - 3. Let g be b(3). Let o be 1*g*(-2)\/6. What are the prime factors of ((-1)\/(-2))\/(o\/88)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.41 - 7.28. Let v = 0.03 - l. Which is the second biggest value? (a) -2\/3 (b) 5\/4 (c) v (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 - 9.1. Let o = d + -0.06. Let w = 14 + o. Which is the nearest to 1? (a) -1 (b) w (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.029 and 0.424869840189.\nAnswer: 0.453869840189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 266 + 241. Solve 5*i = 3*z - 7*z - 37, 0 = p*i + 25 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-54)*(-12)\/(-3))\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.283 + 0.3. Let j = -23 + 23.044. Let f = r + j. Round f to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1049*0.2\nAnswer: 0.02098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y - 6. Let k be j(-5). Suppose 3*b + 5*a = 15, 6*b + k*a = b + 12. Solve b = -0*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312*a**2*h + a*h + 9*a - 7 wrt a?\nAnswer: -624*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -739 divided by 14\nAnswer: -739\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 16, 2751*s + 5*o = 2755*s + 24 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 933440601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -807.5 - -270. What is y rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -5. Let c be (-10)\/(-25)*(-22)\/4. Is c at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -153a9?\nAnswer: -153b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 114771409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = -4*p, 0 = -5*m - p + 24. Let n be 10\/6*(m + 1). Calculate the greatest common factor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/6)\/((-196)\/12 - -17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8562 + 8561.999968546. What is h rounded to seven dps?\nAnswer: -0.0000315","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16317, 16314, 16311, 16308, 16305?\n\"Answer: -3*j + 16320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 9*i**4\/4 + 5*i**3\/2 - 15*i**2\/2 + 10*i. Let y(g) = 7*g**2 + 4*g - 4. Determine 4*x(w) - 15*y(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 324895411 a multiple of 3562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*y + 26*y - 15, 5*y = 3*i - 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 17*s - 1. Let l(j) = -4*j. Let o be l(2). What is the tens digit of f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 62149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15611 - 16?\nAnswer: 15595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**3 + 3*p**2 + 18*p - 10. What is the units digit of l(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6 + 74\/(-12). Let f be w\/(2 + 3\/(-1)). Suppose f = 5*z - 14. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(3\/((-180)\/96))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y + 248. Let h(j) = j + 11. Give b(d) - 24*h(d).\nAnswer: -32*d - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/15 + (-387)\/(-135). Let l(a) = -4*a**2 + 2 - m*a + 2 + 0*a**2 - 1. Let b(f) = -9*f**2 - 7*f + 6. Calculate 3*b(y) - 7*l(y).\nAnswer: y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 77787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/128*-4)\/((-9)\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 622330, 1244379, 1866422, 2488459?\nAnswer: 3110490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 0.1, -54.\nAnswer: -54, 0.1, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 2:43 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6894752321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 60 = -4*h, -4*u - u + 117 = h. Suppose -26 - 22 = -4*i. What is the greatest common divisor of u and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 4)*(11598 - 11598 + 16*m) + (5 + 2 + 0)*(-5*m + 3*m + 3*m))*(m - 3*m + m).\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 16. Let d be j(8). Let t = 141 - d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/7)*z**8\/z)\/(z**(9\/5)\/z)**(-29))**(2\/25) assuming z is positive.\nAnswer: z**(2224\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25758 is divided by 3674.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6844.111kg?\nAnswer: 6844111000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:49 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 24*h - 8185. What is x(-69)?\nAnswer: -1768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20331\/37346 + -208\/263. Is y <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -5, -1\/7, -40\/93?\nAnswer: -40\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-34)\/85 + ((-989)\/40)\/23\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 114*v**5\/5 + 45*v**2 - 130*v - 3. Find the first derivative of c(u) wrt u.\nAnswer: 1368*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3429.028 grams to nanograms.\nAnswer: 3429028000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135160 by 5.\nAnswer: -27032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - -40. Suppose -7*n + n = -204. What is the remainder when a is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 + 5*w - 6. Let z be c(6). Let v be 2\/(-2)*(-3)\/z. Let f(r) = -r**2 - 5*r + 7. Let a be f(-6). Is v less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3\/2, -1.01?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v - 3. Suppose y + y + 6 = 0. Calculate the least common multiple of m(y) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68\/621 + 38561\/6210. Find the common denominator of l and 11\/8098.\nAnswer: 40490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -76*b**2 + 925*b - 160. Give p(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*54\/12. Suppose 2 = -3*y + 4*b + 18, 0 = -4*y - 4*b + 12. Let l(z) = -2*z + 6. Let j be l(y). Which is greater: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*((-26)\/(-3) - 9). Let t(z) = z**3 - z**2 + 6*z - 2. Let d(s) = s**2 + s - 1. Let q(o) = -4*d(o) + t(o). Give q(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2020303233201?\nAnswer: 2020303233212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 4*o - 3. Suppose 365*n = 368*n + 15. What is k(n)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 + 5*p - 2. Let b be j(7). Let z be (-12)\/8*b\/3. Do z and 8 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 292, -1 in descending order.\nAnswer: 292, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from ouuouocoo?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*j - 112*j + 4*p + 24 = -66*j, p = -4*j + 75 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90.8 in -2246, 0.3, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -35 (b) 1.9 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15395 is divided by 1712.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1750 in -0.16, 4\/5, 0.2, -5\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -144?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022159 rounded to 5 dps?\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8575254.\nAnswer: 2, 3, 379, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 805 and 5.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 86 = -606. Let d be (-4)\/(-26) + 1320\/x. What is the common denominator of (-6)\/12*34\/d and -97\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14937\/8 - 3743\/2. Let w(q) = 10*q + 1. Let l be w(-1). What is the common denominator of o and (-26)\/l*(-25)\/(-80)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 3, -2, 2.\nAnswer: -8, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19213374 from 0.4.\nAnswer: -19213373.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 832727 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 + 0*p**3 - 3*p**3 - 2*p**2 + 10*p**3.\nAnswer: 7*p**3 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 6. Let a be d(4). Let g be (-93)\/12*(a + -2). Solve n = -o + 9, -4*o - 5*n + g + 9 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 6*o - 5. Let j be r(7). Let u(i) = i**2 - 5*i + 6. Let y be u(8). Let n be 65\/y - j\/12. Put 3, -3, n in increasing order.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 24 = -4. Solve o*a + 25 = -4*w - w, -w + 5*a = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 4, 0.02, -10, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1064, -1072, -1094, -1136, -1204, -1304?\n\"Answer: -o**3 - o**2 + 2*o - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-15)*24\/2. Let f be (-1 + -19)*(u + (3 - 1)). Let d = f - 38. Which is the nearest to 1? (a) -2\/15 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 1. Let w be j(-2). Suppose -5*r - 23 = -w*x, -3*x + r = -7 - 0. Is (-19)\/(x*1\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and 103.\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*8\/36*(-60)\/(-32)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -3. Let b = 33 - k. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b0b4 (base 12) to base 10\nAnswer: 60616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7087 - 7214 = -20*n - 402*n + 12955 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 8. Let l be o(1). Let u = -12 - -17. Solve -l = -7*j + u*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0 - 0) + -13 + 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100223*d**3*x**3*z + 11*d**3*x**2*z - d**3*x**2 + 80*d**2*x**2*z + 3*d*x**2*z + x wrt x?\nAnswer: 601338*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 114001423?\nAnswer: -114001410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 6?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*p + 2*u + 9, u = -p + 3. Solve -i - p - 1 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 4 - 2 + 4 + 4*u. Let a be l(2). Solve -2*j + a = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-47 + 28)) + -1 + 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 5. Let c = -11 + 20. Suppose -4*i - c = -2*i - 5*r, 0 = i - r. Suppose 0 = i*g - 50 + 35. Give v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1.49\nAnswer: 0.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 45*o**3 + 228*o**2 - 260*o + 57. Let x(b) = b**2 - 1. Let z(t) = w(t) - 3*x(t). Factor z(s).\nAnswer: 5*(s + 6)*(3*s - 2)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -154, -150, -144?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let w = u + -1. Let n be 50\/12 - 32\/8. What is the second biggest value in n, w, -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96818352, -96818354, -96818356, -96818358?\nAnswer: -96818360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*h**2 - 14*g*h*j + 2*g*j - 3*g - 2749924*h**2*j + 934*h*j - h - 3 wrt h?\nAnswer: 2*g - 5499848*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 25312014?\nAnswer: 25312010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390306683 by -4.\nAnswer: 390306683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290296\/181 or 1603?\nAnswer: 1603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (323\/133 - 2)\/((-4)\/(-203)) and -79\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 27089959?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -175a + 5?\nAnswer: -1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyavmatytya. What is prob of picking 1 x and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 317273900 to the nearest 1000000.\nAnswer: 317000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*f - 1778 = -143. Calculate the highest common divisor of f and 170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by 110?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**1))**(-17\/4)*m**(-1)\/m**0*((m*(m**(1\/3)*m)\/m)\/(m*m**(2\/11)))\/((m*m\/((m*m**(1\/8)*m)\/m))\/m**(-5)) assuming m is positive.\nAnswer: m**(-2897\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -479 + 481. Let -w*t**4 - 6\/5*t + 6\/5*t**3 - 4\/5 + 14\/5*t**2 = 0. Calculate t.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1112590.\nAnswer: -2\/556295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 113 (b) -7\/10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154910835 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from iciixicididcidxi?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82, 320, 672, 1114, 1622, 2172, 2740?\n\"Answer: -4*f**3 + 81*f**2 + 23*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12.791, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.425. Let q = y + 2.125. Let u = q - 2. Which is bigger: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148993366?\nAnswer: 2, 43, 661, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.805 * -0.2.\nAnswer: 7.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -462272 divided by 32?\nAnswer: -14446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*12\/8*(-3 + -7). Let p be (-1394)\/80 - (-162)\/u. Is p equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*3*(sqrt(112) + -3 + 3).\nAnswer: -48*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361151 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*k + 59*k + 378*k)*(2*k + 0*k - 3*k).\nAnswer: -348*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.28 - 66. Let j = -0.08 + l. Sort j, -2, -4 in decreasing order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-2\/9)*v**(-2\/79)*v assuming v is positive.\nAnswer: v**(1562\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:00 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 8 = 0. Suppose 70 = 152*j - 147*j. Let v be (27\/63)\/(2\/j). Put q, v, -5, -4 in ascending order.\nAnswer: -5, -4, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 2*j**2 + 3*j**4 + j**2 + (j**3 - 2*j**3 + 0*j**3)*(-7 + 11*j + 7).\nAnswer: -10*j**4 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - 7274*k + 7274*k. Let a(t) = -14*t. Calculate q(a(i)).\nAnswer: -588*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/20 - 11*q**4\/12 - 499*q**3\/6 - 255*q**2. Find the first derivative of g(v) wrt v.\nAnswer: 6*v - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c7 + 45?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4274734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0451 - 2.6199. Let o = -0.035 + f. Let z = 2.7 + o. Which is the closest to z? (a) 1 (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5\/6 (c) -1\/2 (d) 0.5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 5)*-1*-1. Let x = r + -2. Let a be (4 - 5)*(-9 + 9). Solve -2*y = -x*g, a*g - 3*g = -4*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147.3 * 0.0447\nAnswer: -6.58431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 45*s - 305. Let y be d(6). Is y less than or equal to 5\/329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j**2 + 10*j - 206. Let c be w(9). Which is smaller: c or 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*l = -2*q + 167, 0 = 4*l + 16. What is the remainder when 212 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22654530 + -10244530. Round g to the nearest 100000.\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w + 20. Let f(v) = 1 + 0*v + w*v - 2. What are the prime factors of f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 5c414?\nAnswer: -5c419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcctectttccttctcc. What is prob of picking 1 t and 1 c?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z + 3*h + 30, -5*z + 2*h - 82 = 0. Let o be -16 - z - (2 - 1\/(-1)). Let b be 0\/(-1)*(-3 + 2). Put o, 4, b in decreasing order.\nAnswer: 4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-294)\/15)*(-123)\/41*5\/100\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 2*i + 665 + 41.\nAnswer: -2*i + 706","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522893 to the power of 1\/2, to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 162 = -s + 137, 0 = -5*s - 25. Let n = 44 - 14. Let l be 135\/n + (-2)\/w. Solve 0*r = -l*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4970.71 years in decades?\nAnswer: 497.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 5*c - 5. Let r be s(-4). Let z be 0 + 3 + -196 + r. Let p = 351 + z. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 5. Let h be n(8). Let a be h\/((-15)\/4)*-5. Let c = 11 - a. What is the lowest common multiple of 3 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.2. Let y = -0.013 + 0.243. Is c at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11 = 4*f, 5*m + 2*f = f + 8. Let b = 2 - m. Let i = -1 - -5. Solve b = h + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 + 3) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 365 from 567.068.\nAnswer: 202.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*3)**2 + 0 + -1*(0 + sqrt(162)) + ((sqrt(162) + -2 - sqrt(162))*6 - 3*(sqrt(162) + (sqrt(162) - (-2 + sqrt(162) + sqrt(162)))))**2)*5.\nAnswer: -45*sqrt(2) + 8910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 + v**3 - 3*v**2 + (-v**2 - 3*v**2 + 2*v**2)*(2*v - v - 5*v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 128. Calculate the remainder when g is divided by (3 - 49\/21) + (-17)\/3*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7 = -h, 22 = 5*h - 3. Let d(g) = -38*g**3 + 20*g**n - 4*g**2 - 3 + 19*g**3. Give d(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*m + 878*m + 13*m - 32566 = -621*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.978 + 24. Let h = -218 - -218.0143. Let o = g - h. Round o to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12384763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 - -1.5. Which is the closest to u? (a) 0 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*l + 3*m, 6*l = 3*l - 2*m + 49. Let n = -249 + 436. What is the greatest common factor of n and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 531245*w - 3 = r - 531247*w, 0 = -2*r + 4*w - 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 45 = -21 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -185, -481, -897, -1433, -2089, -2865?\n\"Answer: -60*v**2 + 4*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 13*h**3 + 469 + 468 - 289*h**2 - 10*h**3 - 940 in the form y + v*h**2 + m*h**3 + g*h and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*w - 3, -w - w + 4*f = -6. What is the biggest value in -3\/7, -1, w?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 581907, 581932, 581957?\n\"Answer: 25*u + 581882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610889?\nAnswer: 257, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3\/5, 1.5, 338198?\nAnswer: 338198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 9900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2378 and 31849866.\nAnswer: 923646114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4 - 36*n**3 - 99*n**2 - 6*n + 144 = 0.\nAnswer: -8, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 75*v**4 - 5*v**2 - 13*v - 5. Let n(o) = 112*o**4 - 8*o**2 - 19*o - 8. Let q(d) = 8*i(d) - 5*n(d). What is the second derivative of q(f) wrt f?\nAnswer: 480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*y + 94 = -231*y + 491 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -15*z + 37 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 21*o**2 - 16*o - 30. What is the units digit of m(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31933663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*c = 24836, 5*g = 2*c - 5*c + 31067. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*q**4 + 547422*q**3 - 2681765*q**2 - 2*q - 1.\nAnswer: -312*q + 3284532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 133\/3164705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10, -5, -46, 26895, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 0*w - 125*w**3.\nAnswer: -125*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 18. Let y be x\/4*16\/(-30). Which is the closest to -2\/9? (a) y (b) -1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 894\/25?\nAnswer: 894\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1.7. Let w = -2.8 + f. Let m = w + 0.1. Which is smaller: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-16 + 4 - -19) - -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 13*u**2 + u - 19. Let f be l(13). Let z(w) = -w**2 - 6*w + 6. Let b be z(-5). Let r = b + f. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357860929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2 - 10 = 0. Let t(w) = g*w**2 - 2*w - 29 + 29. Let h be t(1). Let r(f) = f**2 + f - 2. Determine r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 833 = 173. Suppose 78 = 24*h - 210. What is the highest common factor of h and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37558924.\nAnswer: 2, 13, 722287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10689 = 3*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 3. Suppose t + 4 = -5*n, 2*n - 5*n = t. Let y be q(t). Let w(v) = -3*v + v + y*v. Calculate w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:04 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 6 + 3*l)*(-16*l**2 + 94 - 94).\nAnswer: -48*l**3 + 144*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12*f - 7. Let o be (2 - 5)\/3*7. Let l(x) = -4*x + 2. Calculate o*l(y) - 2*u(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 690*o - 25784. Calculate x(379).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 7) to base 10.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1\/3 (c) 113 (d) 1882\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3107*i + 27663 - 15985 = -53165 - 19046 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3.4, 0.359, -1\/6, -6\/13, -2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46686917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 633, 605, 577, 549, 521?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -107, -132, -157, -182?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 20 + 1279*c**3 + 10 - 35 to g*c + o + y*c**3 + p*c**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 205 + 245 = 0. Suppose -3*v + 3*w + 53 = w, 5*v - 3*w - u = 0. Let o(s) = -s + 26. Let i be o(v). Solve -i*q = -0*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -7*x + 8. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -8.2?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-624)\/(-64))\/(18 - 15)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153))**2 + 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 8:26 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gppgpppdggpd. Give prob of picking 1 p and 2 g.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -50*r - 4. Let h(u) = -21*u - 2. Let o(c) = 7*h(c) - 3*m(c). Let n be 1\/1 + (-2)\/(-2). Let y be o(n). Solve -6 = -y*z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10672777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1628 and 92801920?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 40 = -5*m - 20*y, -14 = -2*m - 3*y. What is the greatest common factor of m and 940?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42698 and 5402?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533888512?\nAnswer: 2, 23, 45337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.1, -48.31, 7, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -32. Let j(x) = 33*x**2 - 5929*x - 1913. Calculate the remainder when j(180) is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 130*n**2 - 800*n + 2732. What is h(-136)?\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - q**3 + 68 - 103.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 8*v**3\/3 + 39*v**2\/2 - 22*v - 223. What is the tens digit of b(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 - (-73 - -60) - (1 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1b8cb05 (base 14) to base 13\nAnswer: -2b19ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (4 + (sqrt(171)*-4*-2 - sqrt(171))\/(sqrt(216)\/sqrt(6)) + -1)**2).\nAnswer: 42*sqrt(19) + 975\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 254*y**2 + 385*y + 16948. Determine m(-126).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1563, 1550, 1533, 1512?\n\"Answer: -2*l**2 - 7*l + 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 3, z: 5}. Give prob of picking 2 z, 1 o, and 1 c.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-18\/5)\/((v*v*v**(4\/5))\/(v\/v**(-6\/11))))\/((v\/v**(-1))**(-6)*(v*v**0)**(-9\/5)) assuming v is positive.\nAnswer: v**(492\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -2*h**2 + 0 + 0*h**3 - 1\/24*h**4 + 0*h. Let v(u) = 12*u**2. Give v(p(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 61266*o**3 - 490179*o**2 - 796556*o - 367644.\nAnswer: (o - 61274)*(o + 1)**2*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 = 5*n, n + 4*j - 4 = -3*n. Suppose -c + n = -9. Let k = -7 + c. Solve 4*f + 4*o = -20, -2*f - k*o + 6 - 16 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1. Let y(g) = g + 3. Let i(b) = -3*o(b) - y(b). Let u(a) be the third derivative of a**4\/6 + 48*a**2. Give u(i(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 5*d**3 + 5*d**3 + (-13*d**2 - 12*d**2 + 13*d**2)*(d + 3*d - 2*d).\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 528612828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcbr when four letters picked without replacement from rdcbu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(76)\/sqrt(4) - sqrt(19)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65202510 and 646151?\nAnswer: 717227610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bjbbbbbbbbbb?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, a: 5}. What is prob of sequence ass?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 784*h**3 - 85882*h**2 + 1536216*h = 0. What is h?\nAnswer: -484, 0, 23, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2439 times -16\nAnswer: 39024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 13*d**2 + 89*d + 7. Determine o(-18).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6419185 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 1 = -5*c + 14, -2*c = 2*g - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -28, -2, 5 in ascending order.\nAnswer: -28, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*t = 30, 5*t - 35 = 2*u + u. Let s(z) = -2*z - 6. Determine s(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4425*w = 4466*w - 943 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1.2652\nAnswer: -0.25304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 9 - 3. Let o = s - -6. What is the units digit of (-4)\/o + 2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 1684.1500819964?\nAnswer: -1684.0500819964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -458, -1267, -2738, -5075, -8482, -13163, -19322?\nAnswer: -27163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 806922458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 less than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.212 + -0.016. Round n to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -123*p + 1. Let h be o(-18). Suppose 3*t = 1 + 11, t + 16 = 5*i. Suppose h = -i*a + 9*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-13 + 7) - 3) + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4885 - 3?\nAnswer: 4882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 434 + 15*q + 266 + 437 - 17*q + 1544 to z*q + g + w*q**2 + c*q**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-21) - 2\/3. Let i = -0.32 + -0.18. Sort i, 6, m in decreasing order.\nAnswer: 6, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 291*d**3 + 2668*d**2 + 617*d + 36. Let x(c) = -2*c**3 + c**2 - c. Let z(p) = 2*i(p) + 2*x(p). Let z(k) = 0. Calculate k.\nAnswer: -9, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(((-1)\/11)\/1). Suppose -36 = 5*i - t. Let h = 17 + i. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/4 + p**3 - 3*p**2\/2 + 4*p - 4. Let m(v) be the first derivative of n(v). Factor m(h).\nAnswer: -3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -721*11.51.\nAnswer: -8298.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70744191 by 481253.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 49*f - 7. Let i be n(-5). Suppose -2*k = h + 66 + 1, 5*k = 2*h - i. Do k and -33 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (285 - 285 - 2*l + 83*l**2 + (-2*l**2 + l**2 - l**2)*(1 + 0 + 0))*(-3*l**3 - 4*l + 4*l).\nAnswer: -243*l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -x - 3*x, 0 = -4*l - x. Suppose 0 = 3*m - 3*d + 57, -3*m + l*d - 61 = -4*d. Let j be -3 + m\/((-3)\/1). Solve 1 = -j*g + g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 26*o**2 - 15*o + 254. Let m be u(-25). Solve 0 = m*t + 14*t - 72 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819029069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 9. Let v be (12\/105)\/(u\/5 - 4). Let z = -0.296 - 0.004. What is the fourth smallest value in 0.2, z, v, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.074, -0.332, 0.1, 1\/3?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295398 by 49233.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (79\/(-790))\/(4\/30)*(-3 - 1). Let m(l) be the third derivative of 1\/3*l**4 + 0 - 2*l**i + 1\/15*l**5 + 0*l - 2*l**2. Factor m(k).\nAnswer: 4*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l + 237 + 28 = 0. Sort l, 1, -25 in ascending order.\nAnswer: -25, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 5316*i**2 - 26456*i + 31776.\nAnswer: -4*(i - 1)*(i + 6)*(i + 1324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - u - 25 = -4*g, 0 = 3*g - u - 19. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 3:36 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**2 + 27*i**2 + 7428 - 7428. Let f(o) = o + 59. Calculate f(w(q)).\nAnswer: 34*q**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15) - (13\/91)\/(4*5\/378)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/3 + n**3\/3 - n**2\/2 - 6*n. Is 2 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2 + ((-133)\/(-38))\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 - 4. Let d(r) = 8*r**2 + 5. Let f(s) = 4*d(s) + 5*k(s). Let v(t) = t + 3. Determine v(f(b)).\nAnswer: 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/48 - (-25)\/6. Suppose -5*m - 3*g = -3480, 4*m + m = k*g + 3515. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56026, -113563, -171100, -228637, -286174?\n\"Answer: -57537*h + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160772 is divided by 80033?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54342?\nAnswer: 2, 3, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2\/7 + 39*h\/7 + 90\/7 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 225*j + 34. Let y be (10\/4)\/(30\/36). What are the prime factors of u(y)?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*c + 36*c + 252 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 9. Suppose y = 5*q + 55, 0*q + 2*q + 45 = 5*y. Let i be b(q). Let x(z) = 130*z - 1. What is the units digit of x(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.025\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*2*(sqrt(153) + (sqrt(153) - sqrt(153)*3)))\/(-2*sqrt(1089) + (sqrt(9) + 2*sqrt(9))*5).\nAnswer: 2*sqrt(17)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3268874, 3\/8, 7 in decreasing order.\nAnswer: 7, 3\/8, -3268874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*q - 189*q + 24*q)*(5 - 7 + 3) - q + q - 3*q in the form n + a*q and give a.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3 - 52*r**2 + 676*r = 0.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**4)**(-35)\/(f**15*f\/(f**(-4)\/f*f*f)))**(-4\/5))**(2\/21) assuming f is positive.\nAnswer: f**(1552\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 0.2, 0.3, 64, -1\/5, 48?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 + 16660*m**2 - 14568092*m - 6003491956 = 0. What is m?\nAnswer: -301, 2233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -269.778 and 8136709?\nAnswer: 8136978.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -719128*5\nAnswer: -3595640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/(((-6)\/12)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*n + 6. What is the first derivative of -19*s**n + 3 + 9*s**2 + 0*s**2 + 5*s**2 wrt s?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 182, 529, 1038, 1709?\n\"Answer: 81*v**2 + 104*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 2, j: 1, s: 1, e: 11, q: 1}. What is prob of sequence ecqe?\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j - 2*j + 0*j - 2*j + 95*j**2 + 239*j**2 in the form h*j**2 + l*j + a and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 146 + 10*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 240, 947, 2120, 3759?\n\"Answer: 233*a**2 + 8*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpiio. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-260)\/(-45)*(-18)\/18. Which is the closest to -3? (a) 3 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(168)*1*-6*-4)\/((2*sqrt(3888) - sqrt(3888))\/(sqrt(512) + sqrt(512)*-2)))**2.\nAnswer: 114688\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m. Let j(t) = 71*t. Calculate p(j(l)).\nAnswer: 355*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n + 2 = 0. Suppose 3*x - 25 = -2*x, -n*t + 5*x = 21. Let o(p) = -7*p - 7. Let l(v) = -20*v - 20. Let m(h) = 6*l(h) - 17*o(h). Determine m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60, 0.7, 1\/24?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015301 is divided by 1983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2118660956 to the nearest 1000000.\nAnswer: 2119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1589)\/(-175) - (14960\/2125)\/88.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2275 = 167962*r - 168053*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -67 - (-68 + 74) - -177\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3241023, -6482106, -9723189?\n\"Answer: -3241083*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.7588 + -0.2412. Put i, 3\/5, -82 in decreasing order.\nAnswer: 3\/5, i, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4093144 a multiple of 2651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/8358260 and -51\/451.\nAnswer: 91940860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllhhlllhllhyyhll. What is prob of picking 2 l?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 = 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -142 (b) -1 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6 - 1)*(4*v + 3*v - 5*v) to b + p*v and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i = 70*i + 86*i - 1568. What is the smallest value in -2\/7, -2, 1, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z = 2*u - 28*z - 360, -170 = -u + z. Calculate the highest common divisor of 72 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzfffzfii. What is prob of picking 1 i, 1 z, and 1 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2574642 - -4?\nAnswer: 2574646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -110669\/8 not equal to -13835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let b(j) be the second derivative of -5\/2*j**3 - j + 0 + 0*j**2. What is w(b(p))?\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404 is divided by 158?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0*s + 5*s)*((3 - 2 + 0)*(-3 - 3 + 4) - 5 - 2 + 1).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7777.\nAnswer: 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/(3\/18). Let x(k) = 2*k**2 + 6*k + 2. Let v be x(y). Let f = 41 - v. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 49142 = 244*a - 1532906. Is 41 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98*t - 612*t + 109*t + (3*t + t - 2*t)*(3 + 0 - 1) + 0 - t + 0)*(t - 2*t + 3*t) - 2*t**2 + 4*t**2 - t**2 to the form n*t**2 + v*t + g and give n.\nAnswer: -1195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/174 + (-1)\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 1 + 0 - 2. Suppose 97 = s + s - 5*t, 0 = 2*s - f*t - 91. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (352\/(-616))\/(4\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 40*d**2 - 2*d + 4. Let s be u(-3). Let z be s\/(-8) - 9\/12. Let n = z + 69. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4632*t**4 + 5*t**2 + 2*t - 13 wrt t?\nAnswer: -111168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 9:09 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2.224 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/2, 149\/7, -4, -7, -2, 0 in increasing order.\nAnswer: -7, -4, -2, -1\/2, 0, 8, 149\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 r, and 1 f when four letters picked without replacement from bbqfbbbbrbbbrbbqbbqr?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -310*x - 1915*x**5 - 3*x**3 + 26*x + 4*x**3 + 2114*x**5 wrt x?\nAnswer: 3980*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760191 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/105, 0.0241, -0.5, 2\/5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 18*s - 6. Give y(-8).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/88 and -71\/756?\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Suppose y - g - 1 = 0. Let r = y + -3. Solve 2*a + r = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*a - 93, -a = -2*q + 3*a + 14. Suppose -4*t + j - q = 0, 3*t + 12 = 2*j - 2. What is the tens digit of 46\/t*(-24)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -104, -218, -358, -530, -740?\n\"Answer: -x**3 - 7*x**2 - 86*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qggb when four letters picked without replacement from qgbglb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - 47*x**2 + 20*x + 65. Determine y(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 128, 11, -106, -223, -340?\n\"Answer: -117*g + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21308 + -245?\nAnswer: -21552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**3 + 18*a**2 + 9*a + 1. Give z(-4).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86690.\nAnswer: 2, 5, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-255)\/34*(-6)\/20*120\/18\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1363554 and 1026.\nAnswer: 1363554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/12 - 2*j**3\/3 - 4*j**2 - 2*j - 122. Let w(r) = -2*r**2 + 5*r + 9. Calculate -3*b(o) - 2*w(o).\nAnswer: o**2 + 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 25.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*o + 7*o - 1 - 5*o)*(4*o**4 - 5*o**4 + 3*o**4).\nAnswer: -48*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -153711173 + 2?\nAnswer: -153711171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v - 2880 = -76*v - 88*v for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = n - 11851, -3*n + n - 3*v = -23722. Let o be 1\/(-4) + n\/(-100). Let s = 1211\/10 + o. Calculate the common denominator of -113\/6 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/20*(212 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 33*x - 226. Let k be v(23). Solve 106 = k*y + 98 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 7*j - 7*j - 3*j - j**2.\nAnswer: -(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 6. Let o = -17 - -8. Let u(z) = -z**2 - 10*z - 12. Let f be u(o). What are the prime factors of l(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*i - j, 3*j + 11 = 3*i + i. Let d = -0.7 - -1. Which is the closest to i? (a) -3 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 4 + -1 + 2. Let p = h + 13. Let o = p + -11. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 99, 154, 211, 270?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-6)*4 - (-23)\/69. Solve -4*m - y - 11 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 215*n - 547. Let i be r(69). Let p(k) = -k**3 - k**2 + k. Let t(m) = -3*m**3 + 4*m**2 - 4*m + 7. Let z(s) = -2*p(s) + t(s). Determine z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 11 + -16 + 4 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -16, 3*u - 51*j = -49*j + 18401. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146*t**4 - 119*t**4 - 90 - 58*t**4 - 150*t**4 - 56 wrt t.\nAnswer: -1892*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -24, -27, -30, -33, -36?\n\"Answer: -3*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 402 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -371.37 - -0.0097688.\nAnswer: -371.3602312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1168 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:39 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*d**2 + 2*d + 10*d**2 - 4*d**2 - 3*d as z + r*d**2 + i*d and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -352, -34, 430, 1034, 1772?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20*q**2 - 9*q - 9. Let m(k) = 8*k**2 + 4*k + 4. Let y(o) = -4*i(o) - 9*m(o). Let h(r) = -2*r + 3*r - 2*r. What is y(h(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -50415505?\nAnswer: 50415502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 4, n: 2, z: 1, e: 1}. Give prob of picking 2 q and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(48)*3 + -1 + (sqrt(12)\/sqrt(256)*2)**2).\nAnswer: 13\/4 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -41 + -9 - -28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 9:56 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 6*r + 4. Let b be l(4). Let s(v) = -12*v. Let z(o) = 13*o. Calculate b*s(w) - 3*z(w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24740691 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 45*q**2 + 2. Calculate z(45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 9031\/(-902))*(11 - 15)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 3. Let y(b) = -2. Let l(j) = o(j) + y(j). Let c(g) = -8*g + 6. Let u be (5\/(-3))\/(1\/3). What is u*l(i) + c(i)?\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -15 + 1\/3*l**3 + 0*l - l**2. Determine u(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -337. What is the greatest common divisor of 37 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.91 - 17. Let s = -12 + 12.35. Let j = u - s. Round j to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -677*x + 336*x + 340*x. Let d(a) = 0 - 7*a**2 + 0. What is d(i(l))?\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28402173*j**3 - 11955*j - 982 wrt j.\nAnswer: 170413038*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f - 5. Let o be d(1). Suppose z - o - 14 = 0. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -442154 to the nearest one thousand.\nAnswer: -442000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -73 (b) -6\/7 (c) 4 (d) -21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204315011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11 - 2 - 64)*(4 - 3 - 2) + 2 + 0 + 0)*(2*d**3 + 0*d**3 + 2*d**3).\nAnswer: 316*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 11*s + 24. Let t be x(-9). Calculate the common denominator of (-107*1\/t)\/1 and 81\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 7, 1.\nAnswer: 1, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*u**3 + 23*u**2 - 23*u**2 - u.\nAnswer: 237*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -156. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245308.\nAnswer: 2, 7, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -2*t**3\/3 + 263*t**2 - 524*t + 13. Find k, given that l(k) = 0.\nAnswer: 1, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -237, -354, -539, -792, -1113, -1502, -1959?\n\"Answer: -34*g**2 - 15*g - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 390.9817 + -391. Round y to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 390.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + 14 - 5\/((-10)\/18). Suppose -3*h - 15 = -8*h. Suppose -5*b - 4*a = -556, 5*a = -h - 2. What is the highest common divisor of b and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 718*w + 80*w - 1736*w.\nAnswer: -2365*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*t = -8. Let b be (-4)\/((-4)\/7) - 3. Sort 15, b, t in decreasing order.\nAnswer: 15, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(64\/(-18)))\/((-489)\/326)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 - 15.347278?\nAnswer: -15.157278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.554143 to zero decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-1\/53))**(-3\/32) assuming v is positive.\nAnswer: v**(-3\/848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.3. Let n = f - 0.4. Round n to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3912\/17 < -230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*h - 9*h + 2*h**3 - 1192 - 16*h**2 + 1193 to the form k + l*h**3 + g*h + y*h**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185771759?\nAnswer: 3, 395257253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5a3 (base 13) to base 6\nAnswer: -4310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 29 = 3*h + g, -2*h - 3*g + 11 = 0. Find the third derivative of -341*y**5 - h*y**2 + 178*y**5 + 183*y**5 wrt y.\nAnswer: 1200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 862\/11, 0.2, -9019.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 4, b: 3, m: 4, j: 1}. What is prob of sequence jk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*u + 4 = -3, 22 = 2*y + 5*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3008.99731 to the nearest ten.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) - (sqrt(288)*-1 + 4) - -6*(0 + sqrt(288))**2 - (sqrt(80)\/sqrt(32))\/(6*(sqrt(5) - 2*sqrt(5))).\nAnswer: 289*sqrt(2)\/12 + 1724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 4*g**5 - 4*g**5 + (-2*g - g + 2*g)*(0 + g + 0)*(-g**3 - 2*g**2 + 2*g**2).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = 0, 7 = 5*f - 5*x - 8. Is -5809*(-7 - f - (-23 + 18)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-9) + (-243320)\/7821.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(294)*-1 + sqrt(294))\/sqrt(3) - (5*-1*(-2 + sqrt(2)))**2).\nAnswer: -500*sqrt(2) + 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29410477, -29410462, -29410439, -29410408, -29410369, -29410322, -29410267?\nAnswer: -29410204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/32004273 and 4\/7.\nAnswer: 32004273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14\/221 (b) 3 (c) 0.2 (d) 0 (e) -6\/37 (f) 700\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8797288, -17594570, -26391852?\n\"Answer: -8797282*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/689?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 125*p**3\/3 - p**2\/2 + 3*p - 192. What is the second derivative of u(y) wrt y?\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let x be (0 - -1)*(-4)\/8*-4. Let f(k) be the first derivative of x*k**2 - 2*k**2 - 2 + 3*k**3 + 1. Calculate f(b(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17117416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -31. Let o be 14\/10 - (-3)\/x. Find l, given that -2\/5*l - 24\/5*l**4 - 18\/5*l**5 + 4\/5*l**3 + 0 + o*l**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -883 - 2932. List the prime factors of j.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -59442819211833.\nAnswer: -59442819211833.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 2*y + 4, -y + 3 = 0. Let q(k) = k - 12. Let w be q(7). Let x be ((-15)\/w)\/(-1 + 0). Sort 3, i, x in decreasing order.\nAnswer: 3, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333593 + -1000759\/3. Find the common denominator of b and (-3)\/(-2)*137\/36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 - 300 - 8*k**2 + 935 + 5*k**2 - 317.\nAnswer: -3*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -13*x**7\/21 + 5*x**4\/12 - 1532*x**3\/3 + 417*x. Find the second derivative of w(n) wrt n.\nAnswer: -520*n**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*w + 71*w = -55704. What is the greatest common factor of 9 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**5 + 1595*v**4 + 2*v**3 + 14*v - 1699?\nAnswer: 40*v**3 + 19140*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*g**2*k - 229*d**3*g + d**2*g*k + d**2*g + d*g*k - 3608*g**2*k**2 + g**2*k - 5*g*k**2 wrt g?\nAnswer: 2*d**3*k - 7216*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {o: 2, l: 18}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1421)\/147*((-5)\/50*-2)\/((-6)\/(-15))?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*i**3*p**3 + 221*i**3 + 56142*i**2*p**2 - 149*i*p**3 + 954*p**3 wrt p.\nAnswer: 192*i**3 - 894*i + 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 - 2*q**3 - 33212*q - 5*q**2 + 35*q**2 + 33209*q - 20*q**4 as z*q**2 + x + a*q + s*q**3 + y*q**4 and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/10*z**2 - 1\/2*z**5 + 0*z - 11\/10*z**3 + 0 + 13\/10*z**4.\nAnswer: -z**2*(z - 1)**2*(5*z - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -28449508274990\nAnswer: -28449508274990.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 2*((4*(sqrt(2) + 2 + sqrt(2)) - sqrt(2))**2 - sqrt(2)).\nAnswer: 222*sqrt(2) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(-37)*(y\/y**1)\/y*y**(-3)*(((y*y\/(y\/y**1))\/y)\/y*y)**(-28)\/((y*y**(1\/4)\/y)\/(y\/y**(2\/25))) assuming y is positive.\nAnswer: y**(-4983\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 4*n**3 - 4*n**3)*(-54 + 62 - 159) + (-n**3 + 0*n**3 + 0*n**3)*(-2*n + n + 0*n).\nAnswer: 152*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 1. Let v = -53 - -71. What is the least common multiple of v and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1194, 5005, 11740, 21711, 35230?\nAnswer: 52609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5200932 and 930.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, s: 1}. Give prob of sequence xsx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2516)\/(-111) - 24)\/((-4)\/(-123)) - -10.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1189*o**3*t**4 - o**3*t + 1097*o**3 - 46*o**2 + 73144*o*t**4 + 776*t**2 wrt t.\nAnswer: -28536*o**3*t + 1755456*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/9 - (-1)\/6. Put s, 3\/2, -5, -8\/3 in ascending order.\nAnswer: -5, -8\/3, s, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 7*t - 6. Let x be u(-8). Let a be x + -4 + (-4)\/(-2). Calculate the remainder when 20 is divided by 7 - a*1\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (339*(-6)\/(-1890) - (-2)\/(-14))\/(744\/(-1860))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081890?\nAnswer: 2, 3, 5, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 6*a**2 - 19*a + 33. Let i be u(8). Suppose i*c - 324 = -9*c. What is the highest common divisor of c and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 2. Let n = -6 + 12. Let j = n + 8. Let g = -9 + j. Determine q(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9713*n + 29083?\nAnswer: 9713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 171458083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(5))*-4*4.\nAnswer: -64 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c + 159 = -29 - 122 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - c + 1. Let h be o(1). Let v be (1\/(-1))\/(-1) - -2. Suppose -v*g = -g. Solve h = -4*m - g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -f + p - 66, -2*f + p - 127 = 0. Let z(s) = -2*s**2 + 11*s - 39. Let l be z(9). Let a = f - l. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from {a: 6, v: 5, l: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-3))\/2*-54. Let q = t + -37. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -449\/7 - -3593\/63. Calculate the common denominator of w and 6\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -2c?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 3*g**2 - 27*g + 16. What is o(6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 117807?\nAnswer: -14\/117807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(175)*-4*-3 + sqrt(175) + 0 + -3)**2.\nAnswer: -390*sqrt(7) + 29584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147514, -590055, -1327624, -2360221, -3687846, -5310499?\n\"Answer: -147514*w**2 + w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/3)\/((-4)\/(-276))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -303438*h**2 - 204365 wrt h.\nAnswer: -606876*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 54 = -78. Suppose 0 = -5*m - d + 471, -4*d = -0*d + 16. Let c = m - w. What are the prime factors of c?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 37. Suppose -4*z + 185 = p + 12, 3*p - 2*z - 449 = 0. Let i = k + p. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -638*m**2 + 167*m + 178*m - 345*m to k + a*m + u*m**2 and give u.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 21. Let u be r(-7). Suppose -u - 18 = -8*y. Determine q so that q**2 + q - y*q**3 + 3*q - 1 + 4*q - 4*q = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-1 + -1 - (sqrt(468)*1 + 5)**2.\nAnswer: -494 - 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5577495, -5577497, -5577499, -5577501, -5577503, -5577505?\nAnswer: -5577507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1900 - 28514\/15. Is 0 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, 1795, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6926*q = 6823*q + 4326 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 12*r + 7. Let g be n(-12). Suppose g = 5*w - 3. Suppose -2*s - 37 = -4*c + 13, 3*s + 27 = w*c. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 1. Let t = 4 - 2. Let w(m) = 0*m**2 + 22*m - 20 - 8*m - t*m**2. Let k(p) = 2*a(p) + w(p). Find o such that k(o) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s - 2*s + s. Suppose 5*g - 28 - 27 = 0. Let r be g\/(33\/(-18)) - -2. Give f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22082 + 22772. List the prime factors of a.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.131 - -8.131. Sort r, -0.4, 0.2, -1\/3, -0.1 in decreasing order.\nAnswer: 0.2, -0.1, -1\/3, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {h: 1, e: 4, l: 1, s: 5, c: 3, k: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 + 11*b - 24. What is s(4)?\nAnswer: -28","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 {o: 5, g: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6d (base 14) to base 10.\nAnswer: -2057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**3 + 2*f**2 + 2*f. Let q(o) = 3*o**3 + 3*o - 5. Let i be q(0). Let k(j) = 9*j**3 + 5*j**2 + 5*j. Determine i*l(p) + 2*k(p).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 1 = -3*p. Suppose -v - p + 29 = 0. What is the remainder when 63 + (-3 - (3 - 4)) is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/6)\/((-1)\/(-8)). Let c = 3 - -1. Suppose -4*r + r = 5*w - 51, -3*w = -c*r - 19. Solve d = x*d + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(243) - (sqrt(3) + sqrt(12)\/sqrt(4) + 4)) + -1*(sqrt(363) + 3*(sqrt(363) + -1 + sqrt(363)))*6.\nAnswer: -420*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: a8821 (base 13) to base 3\nAnswer: 120110210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -594876 + 1126621. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 - 0) + 5)*(-12 - (-2236)\/65). Solve -16*f - z = -32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*z - 170*z - 171*z - 165*z - 167*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*b**2 - b**3 - b**3 + 192*b**2.\nAnswer: -2*b**3 + 90*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74227\/10 - 7429. Find the common denominator of (-11)\/(2\/1*(-25)\/45) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 12. Let o = t + -12.4. Let f = o - -1.9. Which is the third biggest value? (a) f (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1539) + 1) - -2*sqrt(1539)*-5)**2.\nAnswer: 1008*sqrt(19) + 301660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osxsoxxsooxxssss. Give prob of sequence oxs.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684*f - 40545 = -2007*f - 108018 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2991, 3068, 3311, 3804, 4631, 5876, 7623?\n\"Answer: 14*n**3 - n**2 - 18*n + 2996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/63 - ((-8)\/(-12) - 35\/36)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.934 - 0.066. Is -8 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*v - 14, -3*x - 2*v + 15 = v. Factor p**2 - p**5 - x*p**2 + 3*p**3 + 2*p**2 - 3*p**4 + 2*p**5.\nAnswer: p**2*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p - 40*p + 14418. Let j = 474 + p. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380 is divided by 76.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35535 - 0.039.\nAnswer: -35535.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -87929.86 - -137.6\nAnswer: -87792.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4384, -6558, -8746, -10954, -13188, -15454?\n\"Answer: -a**3 - a**2 - 2164*a - 2218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503884531 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55.64 - -55. What is the nearest to 0 in i, -2\/9, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 + 2*n - 13. Let u(s) = 6*s. Suppose -6 = -7*c + 5*c. What is the remainder when m(-7) is divided by u(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 145*s**2 + 44*s**2 - 231*s**2 - 3.\nAnswer: -42*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 + 80 = 0. Calculate l.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q + 3*w, 3*q + 4 = w + 3*w. Factor q + 0*b - 1\/6*b**4 - 2\/3*b**3 - 2\/3*b**2.\nAnswer: -b**2*(b + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 5*t - t)*(37*t - 76*t + 37*t + 53*t**3) + (-5*t**3 - t**3 + 4*t**3)*(3*t - t - 3*t).\nAnswer: 108*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1558007153?\nAnswer: 1558007153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/3 - 50*g + 324 = 0. What is g?\nAnswer: -81, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 11*x - 1. Let l be h(7). Let f = l + 24. Let w be ((-5)\/2 - -4)*f. Solve -w*u = -6*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/3397 and -5\/43?\nAnswer: 3397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 2. Suppose -f*z = -6*z + 4*r, -4*z + 3*r = 0. Suppose z = -a + 2, -n + 2 + 4 = 3*a. Are n and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 647\/33 - 212\/11. What is the closest to -3 in n, -5, -0.3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/84*15\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ae023 - 31?\nAnswer: -1ae054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22239164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 18*m - 2*x = -16, 3*m = -3*x + 33 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13031003 (base 4) to base 14.\nAnswer: -aa79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-3\/7))\/(x*x**(-16))*(x\/x**(-1\/22))**46 assuming x is positive.\nAnswer: x**(5045\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3109 (base 15) to base 4.\nAnswer: 2112312003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-2 - sqrt(150))\/sqrt(10))\/sqrt(3).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 4, s: 6}. What is prob of sequence ses?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -835, -3355, -7559, -13447, -21019?\n\"Answer: -842*j**2 + 6*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6870*d**3 - 193525*d**2.\nAnswer: -5*d**2*(1374*d + 38705)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -465 greater than or equal to -464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -288, -4 in descending order.\nAnswer: 0, -3, -4, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 60*c - 100.\nAnswer: -5*(c - 10)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 0.0763 (c) -87761 (d) 1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*f**2*r + 12*f**2 - 1486*f + 42784*r + 16 wrt r.\nAnswer: -12*f**2 + 42784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + -5. Let d be (-822)\/k - 1\/(-5). Let p be ((-16)\/(-10))\/(2\/d). Calculate the highest common divisor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t + 10. Let x(a) = -1. Let n(d) = -o(d) - 8*x(d). Suppose 8*c + 4 = 4*c. Let f be n(c). Solve f*p - 15 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/4)\/(15\/20). Let m be (-4)\/n - (-20)\/(-12). What are the prime factors of 6*(33\/9 - m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/3 - 10428343*m\/6 + 1303543\/3 = 0?\nAnswer: -2607086, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 7. Let t be r(3). Suppose -5*z - 5*c = -30, c = t - 0. What is the least common multiple of ((-10)\/(-3))\/(2\/6) and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b**2 - 114*b + 5. Let d(y) = 11*y**2 - 114*y + 4. What is 7*d(c) - 6*s(c)?\nAnswer: -c**2 - 114*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2005520823 to the nearest integer?\nAnswer: 44783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 8213*v**2\/2 - 5798*v - 12095. Differentiate n(l) wrt l.\nAnswer: 8213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11)*2 + 3)**2 + sqrt(44) + sqrt(132)\/sqrt(3).\nAnswer: 22*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -789.5377 and -0.39043803.\nAnswer: -789.92813803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = 0, 4*d = 3*n + 2*n - 433. Suppose 5*w - 78 + 25 = -2*x, 2*x - 5*w = 63. Let v = n - x. What is the remainder when v is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -537.\nAnswer: 161.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -1\/8*a**4 + 0 - a**2 + 0*a**3 + 0*a. Let m(r) = 2*r. Determine -5*m(d) - 3*w(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/2))**(17\/5)*n**(-4\/7)\/(n*n**(-1)\/n*n) assuming n is positive.\nAnswer: n**(317\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9)\/9*(-28)\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9351854*h = -9351600*h + 21590 for h.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Let z(o) be the third derivative of -o**4\/24 - 5*o**3\/6 - 2*o**2. Let y be z(-6). What is the closest to y in t, -4, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60479 - 2660919\/44. Let c be 9\/15 + (-126)\/(-40). Let k = c - t. Put 5, k, -2\/3 in descending order.\nAnswer: 5, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931) - ((sqrt(931) - sqrt(931)*-1 - sqrt(931)) + 1)))**2.\nAnswer: -14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9776, -11212, -12650, -14090, -15532, -16976, -18422?\nAnswer: -19870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24720*c - 24746*c - 962 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 79.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 466903839 to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/6 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -2*d + 5*k + 247, 4*d - 4*k - 964 = 0. Calculate the remainder when d is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12 = t, 1137*t - 1139*t + o = -3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4758299 divided by 679757.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3125 + 0.0125. Let l = 0.18 - -0.03. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)**(6\/17)\/(r**5)**(2\/29) assuming r is positive.\nAnswer: r**(-10\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {z: 2, p: 11}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 11?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l**2 - 3*l - 3. Let i be b(-2). Let s be i - (-1 + 4 + -34). What is the units digit of s\/(-9)*114\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 1. Suppose 3*w = 5*n - w + 5, -n + 4*w = 1. Let x(p) = 9*p**2 - 6. Give n*x(k) + 6*l(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**3 - q**2 - 7*q + 6. Suppose -4*u = -u - 51. Let l(k) = -20*k**2 + 2*k**2 + 15*k**2 - 20*k**3 + 17 - 20*k. Calculate u*x(f) - 6*l(f).\nAnswer: f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3451436.\nAnswer: 2, 149, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -355, 0 in increasing order.\nAnswer: -355, -25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {y: 1, v: 2, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245304 is divided by 1530?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 - 55 = -112*f + 121*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 265 + -241. Is -41*(-36)\/a*92\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Let y be 2 + -4 - (u - 32). Suppose 3*z - 8 + y = w, 0 = 4*z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 2, 2\/67, -1\/3?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 17 = i, 2*i = -3*r - 2*i + 14. Let q be (1*-8)\/(3\/r*-1). Is q less than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -25*f**2 - 479*f - 7. Give w(-19).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8bba - 88b?\nAnswer: -9667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.27509 rounded to 1 dp?\nAnswer: 30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 = -9*s - 220 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 408 and 1992.\nAnswer: 33864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17)*-3 - (sqrt(17) + (sqrt(17) - sqrt(85)\/(sqrt(5)*1))).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3075, -2753, -2205, -1437, -455?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -254231?\nAnswer: -254236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 1080?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, y: 10, o: 3, z: 1, c: 1}. What is prob of sequence zocz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 703015 + -125?\nAnswer: 702780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + 0.06. Let y = -681.97 + 679. Let l = k - y. Put 2\/11, -4, l in decreasing order.\nAnswer: l, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 - 111 = -7*c. Let s = 49 + c. Solve s = x - 3, -5*g - 4*x = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from {f: 2, k: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.77006187 rounded to 2 dps?\nAnswer: -10.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 10*d**2 - 11*d. Let h be r(-9). What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/((-21)\/(-154)). Is 10 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 35 = 5*j, -205*d + 206*d + 4*j - 28 = 0. What is the third biggest value in 0.211, d, 0.3, 38?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.8 - -10.3. What is the second smallest value in 8, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -37. Suppose 4*o = 150 + 230. Let r = -134 + o. Which is greater: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 - 0.2. Let m = l + -4.13. Let k = 5556.4 - 5559. Which is the third biggest value? (a) 2\/5 (b) k (c) 2\/7 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 235*n + 4. Let y(a) = 236*a + 3. Determine 3*c(o) - 4*y(o).\nAnswer: -239*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.001 and 3.31?\nAnswer: 13.24331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8545196 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(0*a + 0*a + a) + 3*a + 5*a - 2 - 3*a.\nAnswer: 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*25\/(-40) + 2\/(-8). Suppose 14*n - i*n = -19*n. Factor n + 12\/5*r**4 + 0*r + 0*r**2 - 12\/5*r**3 - 3\/5*r**5.\nAnswer: -3*r**3*(r - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, 9 in descending order.\nAnswer: 9, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*a**3 + 18*a**2 - 35*a**2 + 17*a**2.\nAnswer: -179*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) -1135986\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + (1 + 1*sqrt(425))**2 - sqrt(51)\/(5*sqrt(27)).\nAnswer: 224*sqrt(17)\/15 + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*a = -2170 + 1894. Let j(d) be the first derivative of -2*d + 2. Let z(m) = m**2 + 2. Calculate a*j(k) + 3*z(k).\nAnswer: 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*g + 940 = -252*g. Suppose 2*d - 1264 = 2*k + g, 5*k = -d + 1102. List the prime factors of d.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let c(k) = 6*k - 4*k - k. Calculate z(c(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6962\/105 - 332\/5. Suppose 0 = 3*j - 4*v + 64, 5*v = -4*j - 62 - 44. Let l be (-6)\/j - 7\/(-4). Put l, p, 0.3 in ascending order.\nAnswer: p, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5607113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1547 and 51?\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*v - 4125 = 277*v. Calculate the remainder when 989 is divided by v.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 4034?\nAnswer: -4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {q: 4, s: 8, d: 1, x: 3, y: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -470*k**2*q + 101012*k*q + 5*q - 15423448 with respect to k.\nAnswer: -940*k*q + 101012*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -17 - (3 + 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 133*-347\nAnswer: -46151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*n**3 + 301*n - 301*n)*(18 + 8*n - 18).\nAnswer: -392*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 12 + 80 + 0*b**2 - 18 - 11*b**2 - 16.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {k: 1, f: 1, c: 1, d: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 5:09 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 2\/(-4)*-4. Let a(i) = -i**3 + 3*i**2 + i. Let f be a(3). Suppose 2*t = f*z + 2, t + 0*z - 3*z + 2 = 0. Solve v*c - t*c - 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -439, 519, -2 in decreasing order.\nAnswer: 519, -1, -2, -5, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -0.3, -1\/4, 0.04, -10, 0.056?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8374 + 562 = -4*l, -2*l + 1949 = d. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4950785 and -47\/444.\nAnswer: 59409420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1857, 3, 2, -4.\nAnswer: -4, 2, 3, 1857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-216)\/(-40) - 2\/5. Let d(n) = -n - n**2 - 3 + 1 - 5 + k. Determine d(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.95 + 0.365.\nAnswer: -62.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2104 + -13\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 13326.\nAnswer: 13326.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 11) to base 14.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/17 and 19\/115?\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139670639?\nAnswer: 5689, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/64062 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 14) in base 3?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2705 is divided by 531.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 34433?\nAnswer: -34431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -3\/4, 187, -4, 2\/5, -0.13?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905 + 393 = 11*o. Suppose 2*w + 25 = 7*w. Suppose o = -w*k + 7*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - 6 - (-355)\/71?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7015840, -7015836, -7015822, -7015792, -7015740?\nAnswer: -7015660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i - 20*i - 20*i)*(3*i**3 - 8*i - 2*i + 8*i) as y*i**2 + x*i + l + a*i**4 + d*i**3 and give y.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147040 - -4705191\/32. Find the common denominator of r and 1294\/560 - 6\/21.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 4*a + 1)*(-2 + 0 - 1)*(-4*a + 3*a + 3*a).\nAnswer: 6*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.6 (b) 5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmh when three letters picked without replacement from {m: 4, h: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 10*f**2 + 7*f - 15. Let u be m(11). Calculate the greatest common factor of 12505 and u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 3. Let i(a) = -7*a - 6. Let n(s) = 3*i(s) - 5*j(s). What is the remainder when 3 is divided by n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 2786?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 13464 = 3696. Does 58 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/20 and 7\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4)\/u)\/u**15)\/(u\/u**(-5))**5)**(36\/7) assuming u is positive.\nAnswer: u**(-1800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:02 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 829\/6. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-850)\/102)*(-122)\/6*-1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 11, 19, 33, 53, 79, 111?\n\"Answer: 3*k**2 - 7*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -373*c**3 + 15629*c**2 - 86404840*c wrt c?\nAnswer: -2238*c + 31258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 40*j + 51. What is the remainder when r(7) is divided by 85?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10054863 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x - 9*x - 4*x)*(1 - 6 + 2)*(3 + 10 - 2) - 2*x + 4*x - x + (-3*x + 0*x + 4*x)*(2 - 2 + 1) to the form v*x + d and give v.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3729 - 72271. What is i rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pep when three letters picked without replacement from eeeepeepe.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225125?\nAnswer: 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-7)*17*(-14)\/(-238)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/47)*y)**(1\/17) assuming y is positive.\nAnswer: y**(49\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -29, -57, -97, -143?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 1\/4*x**4 + 8\/3*x**3 + 8*x - 28 + 1\/2*x**2. Give i(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 29, -2, 5, 14, -4 in increasing order.\nAnswer: -8, -4, -2, 5, 14, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-34 + (-4 - -8)) - 5 - -19?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4063?\nAnswer: 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 4*m - 3 = -k, m - 22 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766036*s**3 - 766038*s**3 - 766059*s**3 + 2298136*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 + 212. Suppose -5*h + 20*b - 18*b = 3337, n = -5*b. What is h rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/10 - k**4\/12 - 2*k**2. Let u(x) = -5*x**2 + x. Let a(w) = 3*n(w) + 4*u(w). Determine v so that a(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4\/8 - 9*d**3\/4 + 1059*d**2\/8 - 747*d\/4 - 4290 = 0.\nAnswer: -22, -5, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531148 divided by -1076?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -214*b - 446*b - 4110 - 369*b - 286*b + 184*b wrt b.\nAnswer: -1131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*d + 50 + 493*d - 23 - 27 - 290*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 6 + 15 + 466*n.\nAnswer: 466*n + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11210120020 - -100100?\nAnswer: -11210012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 377537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3551496.5 to the nearest one thousand.\nAnswer: -3551000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472792 - 169856 = -3*o. Let j = 70216 - o. What is j rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*u + 32 - 8, -4*l + 27 = 5*u. Suppose x = -0*x + 11. Let f = x + -6. Solve 0 = f*t - u*v - 22, -v + 6*v = -20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5 + 15. Let u(n) = n**3 + 5*n**2 - 2*n - 6. Let x be u(m). Which is the nearest to -5? (a) -3 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -561 and -561 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65 and 10932.\nAnswer: 710580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283.45 - -283.68018. Let f = z - 0.23. Round f to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 963 - 693. Suppose -2*q - 7 = -2*p + 121, -4*p - 3*q = -o. Calculate the remainder when 196 is divided by p.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 99. Let y be d(-6). Let u = y - -195. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2077874 + -5?\nAnswer: -2077880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/25, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**5\/12 - 5*t**4\/8 + 5*t**3\/3 - 57*t**2. What is a in y(a) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13312.2758 to the nearest ten.\nAnswer: 13310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/27))**18*(h\/(h\/(h*h**(-1\/5))))\/h*h**(-12\/11))**(8\/3) assuming h is positive.\nAnswer: h**(22936\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -11*y + 48000. What is y rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15237140 rounded to the nearest ten thousand?\nAnswer: 15240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -95, -223, -403, -635, -919, -1255?\n\"Answer: -26*k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15808)\/(-1235)*(-11)\/((-88)\/30)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1481272351817.70140444 + -1481272383077. Let u = -31356.29859 - t. Let d = u + 97. Round d to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5453 (base 9) to base 12.\nAnswer: 23a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.76 - 0.7. Let j = g + -0.05. Let f = 0.0099946 - j. What is f rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 2, -5.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5*n**3 - n**2 + n + 8*n**3 - 14*n**4 + 11*n**4 - 34*n**3 to the form d*n**2 + j*n**4 + p + f*n**3 + k*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 1)\/((-2)\/(-16)). Are 8 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from {i: 4, y: 1, v: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206496 and 18.\nAnswer: 206496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 6*w**2 - 5*w - 7. Let l be b(-5). Let z = 4 + l. Is 8 a factor of 22 - (z + 1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -185*u - 231 with respect to u.\nAnswer: -185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-364)\/(-65) - 3) + (-2)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2667 and 141\/80481170.\nAnswer: 241443510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o - 5*o + 3*o - 4 - 2*o in the form v + t*o and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-38)\/1*3\/44 and 71\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*l**3 + 35*l**2*z - l*z**3 + 24724*z**3 wrt l?\nAnswer: -30*l**2 + 70*l*z - z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3614597 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.74851t to kilograms.\nAnswer: 26748.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) 5 (c) -19 (d) -891\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.71472731 rounded to 3 dps?\nAnswer: 3.715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 2664.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s**2\/7 + 7492*s - 4560\/7 = 0.\nAnswer: 2\/23, 1140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -16, -30, -42, -52, -60?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-20))\/((-6)\/164). Suppose -1023 + 103 = 8*h. Let c be (h\/(-23))\/((-2)\/6). Which is greater: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 5*t**2 - 4*t + 15. Let y(u) = -6*u - 277. Let q be y(-47). Determine h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 - 284 = 5*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37901000 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5277591, 21110370, 47498335, 84441486, 131939823, 189993346, 258602055?\nAnswer: 337765950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*m + 3*m**2 - 3*m**2 - 104*m + m**3 - 98*m + 264*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 23, 3, 5, 77, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -1. Let t = 0.3 + g. Let z = t - 1.74. What is z rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1264*s**4 + 9*s**3 - 9*s - 473. Let i(y) = -632*y**4 + 4*y**3 - 4*y - 237. Let q(o) = -9*i(o) + 4*v(o). Differentiate q(g) wrt g.\nAnswer: 2528*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 50. Calculate j(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 9:39 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*g - 14*g - 21*g - 4383*g**2 - 60*g in the form j + z*g**2 + f*g and give z.\nAnswer: -4383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -223 - -321. Suppose -120 = -s + d. Suppose 4*x - 2*o = s, 3*x + 2*x + o - 262 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2435 and 40080.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20136*p**4 + 82*p + 6.\nAnswer: 241632*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:29 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2588.32 + -646845\nAnswer: -649433.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-18)\/(234\/(-65))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3133801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/2 + 67438\/(-29904). Let f = n - 51\/178. Find the common denominator of f and -29\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 + 3 - 3 + 1 + (-5 + 5 - 2)*(-4 + 5 - 2) + 3 - 2 - 3 + 0 + 1 + 1)*(297 - 297 + 64*q - q - 2*q + 2*q + 2*q + 1 - 1 + (1 - 1 - 1)*(1 - 1 - 2*q)).\nAnswer: 134*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6881)\/(-11))\/((-7)\/(-77)) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g**2 + 2*g - 2. List the prime factors of k(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 7*i**2 - i - 6. Let y be k(-7). Let b(f) = 5*f**2. What are the prime factors of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + u**2 + 44 + 97 + 94.\nAnswer: u**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2\/5 + 9211824*a\/5 - 22108464 = 0.\nAnswer: -3070620, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -46, 31 in ascending order.\nAnswer: -46, -3, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -3*d**4 - 7*d - 35. What is the first derivative of k(f) wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0477*0.5\nAnswer: 0.02385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10999 is divided by 142.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -256\/5 + 51. What is the biggest value in 3\/4, h, 2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35\/708621 or -1?\nAnswer: 35\/708621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 24*y. Let v(b) = -59*b**2. Calculate v(k(z)).\nAnswer: -33984*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v, 0*o - o - 5*v = 10. Suppose 5*l - 3*c = -o*c + 328, 360 = 5*l + 5*c. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8461.1 - -650744\nAnswer: 642282.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204941 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 755*i**3 - 506*i**2 - 218*i**2 - 759*i**3.\nAnswer: -4*i**2*(i + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 324\/216*((-33)\/15 - -2). Which is the third smallest value? (a) m (b) 2\/25 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/24*1*918\/18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - -35 - (-4 + 13 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (106\/318)\/(1\/9). Suppose z*l + 12 = -5*m, 21 = l + 2*m + 26. Calculate the greatest common factor of 25 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/((-300)\/415))\/((-1)\/4). Is t at least as big as 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 24. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62641 is divided by 128.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 5:51 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 17045.94497495.\nAnswer: 17045.84497495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2918 divided by -1459.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 261073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-30 - -31) + -18 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216 - 105 - 113 + 2617*f.\nAnswer: 2617*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 63*a + 93*a + 1.\nAnswer: 156*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39858, -79531, -119226, -158955, -198730, -238563?\nAnswer: -278466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 399, -21, 2, 3, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 - 9*z**2 - 9*z - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(-5\/7)\/(s**(-3\/5))**(-17\/4) assuming s is positive.\nAnswer: s**(-1271\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40432 (base 9) in base 12?\nAnswer: -13485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 102*q**2 - 14*q + 865. Let f be d(100). Is 19464 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -5572401?\nAnswer: 5572377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*r + 2*a**3*r**3 + 33*a**2*r - 9*a*r**3 - 3*a wrt a.\nAnswer: 24*a**2*r + 12*a*r**3 + 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 times 0.1?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = b + 26, -2*p = 4*b - 5*b - 11. Let k be ((-4)\/5)\/(10\/(-25)). Let o be 3*k\/(-4)*-4. Solve o*g = g + p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -346 + 1202. What is the remainder when l is divided by 285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2. Let m be 3*-2*(0 + 3). Let a(n) = -n**3 - 18*n**2 - n + 13. Let y be a(m). Let r(q) = -y - 5*q + 31. Determine r(o(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 2328 = 2880. Suppose -3238 = -17*c + i. Is c greater than 215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 27. What is the tens digit of (-1 - k\/(-8))*-34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/60 - i**4\/24 + 2*i**3\/3 - i**2. Suppose -207 - 33 = 80*s. Calculate k(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 8. Let w be (-2)\/(-56)*(1 + (9 - 14)). Which is the third smallest value? (a) 1\/2 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7685 equal to 7686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, -0.15, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*q = -2675, 2*z = -0*q - 5*q + 1327. Let u = z + -670. Is u at least as big as -19\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = -5*m + 89. Let s = 84 - m. What are the prime factors of s?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/((-44)\/6) + 298\/126 and 6\/427.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 - 112. What is the remainder when g is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246663.\nAnswer: 3, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.4 - 14. Which is the closest to 2? (a) 2 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (0 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + 3*t)*(6*t**4 - t**4 - t**4 + 5).\nAnswer: 4*t**5 + 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(1\/4)*b**(-8)*((b**3*b)\/b)\/b**8*((b*b*((b\/b**1)\/b)\/b)\/(b*b\/((b**8\/b)\/b)*b))\/(b**(-1\/4)*b**9) assuming b is positive.\nAnswer: b**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -4, 2, -17\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/7, 3, 1643, -1, -3?\nAnswer: 1643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 210\/4 + 8\/16. Calculate the highest common divisor of 50 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**3 + 2*g + 4. Let x be 3\/(1*(-39)\/52). Let m(o) = 7*o**3 - 3*o - 5. Give x*m(a) - 5*w(a).\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 + 21*d**2 + 47*d**2.\nAnswer: 77*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 4. Let p be (-4 - -2)\/y*0. Let k = p - 10. Are k and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58340 + 58340. Let g be 3\/(-6) - 14\/(-4). Put 33, y, g in descending order.\nAnswer: 33, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*r - 54, -r = 4*r + f - 77. What is the least common multiple of (-6)\/(-3) + (11 - 4\/(-2)) and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/13, -2\/9, 0.3, 24\/7, -47 in decreasing order.\nAnswer: 24\/7, 0.3, 2\/13, -2\/9, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -33, -77?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, -3, 104?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2. Let o(k) = 7*k**2 - 15 + 3*k**3 - 105 + 120. What is 4*b(m) - o(m)?\nAnswer: m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*i + 1674 = -354*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -201000121000?\nAnswer: -201000121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 194494967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21255 + -5?\nAnswer: -2125a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9259376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 3, -24, -85, -192, -357, -592?\n\"Answer: -2*l**3 + l**2 + 6*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = 16*j + 260 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*d + 4*l, -l + 26 = 2*d - 0*l. Calculate the remainder when 8 - (-145)\/5*1 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z**2 + 2*z - 2. Let t be (-1)\/4 + (-86)\/8. Let w(a) = a**2 + 12*a + 5. Let c be w(t). Give j(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + v + 10, 72*v - 14 = -b + 77*v. Solve b*y - 14*y + 38 = 3*x, 3*y - 3*x = 18 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9043\/4 - -2249. What is the common denominator of 2 + (-4)\/((-264)\/(-255)) and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 1 s when three letters picked without replacement from lvbllululvlkuususlu?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013.359 micrometers in nanometers?\nAnswer: 1013359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:58 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -34881767.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -113 + 51 + 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, c: 3, i: 3}. What is prob of picking 1 x and 3 i?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/42)\/((-1)\/(-14)). Let n(o) be the second derivative of 1\/3*o**3 - o + 0 + 0*o**2 + 1\/6*o**w. Factor n(h).\nAnswer: 2*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1148, -1487, -1624, -1457, -884, 197, 1888?\nAnswer: 4291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*n + q - 5*q, 3*n + 3*q = -15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c - 104 = 158 + 26 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f**3*z + 618685*f**2*z - 411600*z wrt f?\nAnswer: -9*f**2*z + 1237370*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229*l**6 + l**3 - 206*l**2 wrt l.\nAnswer: 27480*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.2. Let u = -62 + 182\/3. Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*u + 20 = 5*u, -q + 2*u = 12. Let a be (0 + ((-24)\/6 - q))\/2. Solve -4 = -4*v - a*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33288, -33287, -33286, -33285, -33284, -33283?\nAnswer: -33282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/15 - 18*v**2\/5 + 324*v\/5 + 42. Solve b(d) = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1221752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**2 + 1\/4*t**4 - 1 - 2\/3*t**3 - 1\/30*t**5 + 0*t. Let o(h) be the second derivative of n(h). Factor o(s).\nAnswer: -2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 20 - 228. What is the greatest common factor of 286 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/14 and 145\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9156 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w - 2. Let t(l) = 9*l + 3. Let u(h) = 5*q(h) + 3*t(h). Let v(z) = -2*z - 18*z + 6*z + 4 + 7*z. Let o(m) = -9*u(m) - 2*v(m). Calculate o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107334?\nAnswer: 2, 3, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110545 (base 7) in base 6?\nAnswer: -230114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = -2*i. Is 79\/(i\/(-3 - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 7*v**2 - 3*v - 62. Let k(r) = r**3 - 12*r**2 - 5*r - 123. Determine 3*k(n) - 5*t(n).\nAnswer: -2*n**3 - n**2 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/14 - (-1205)\/(-105) - 2\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -416.52 and -5.\nAnswer: -421.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**5\/25 + u**4\/5 - 2*u**3\/5 + 2*u**2\/5 - u\/5 + 77. Find d, given that y(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c = 15*c - 39 - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49898 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + y = -n + 89, -4*y - 22 = -2*n. Let g = -6 + n. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1310520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 2) + (-4428)\/(-342)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 160*v**3 - 1428*v**2 + 3528*v.\nAnswer: -4*v*(v - 2)*(v + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6725132161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Let d = 18 + s. Is d greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47*(-119322)\/373086 + (-76)\/36 + 2.\nAnswer: -106\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 12) + -14 + (-10 - -25).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/11*(-10)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**5 - 1\/6*z**4 + 5*z**2 + z**3 + 1\/360*z**6 + 0*z + 0. Let l(k) be the first derivative of i(k). Calculate l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (-5 - (-82 + 124 - (15 - -1))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -552 + 550 - (-4 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d. Let m be c(-1). Suppose -y = m*y - 65. Suppose -5*r - 2*w + 187 = 0, r - 11 = w + 32. What is the highest common divisor of y and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100211222 - -10?\nAnswer: -1100211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**7\/63 - 8*z**6\/45 - 7*z**5\/15 + 4*z**4\/9 + 5*z**3\/3 + 4982*z. Let o(k) = 0. Calculate k.\nAnswer: -5, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:40 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -791983, -1584008, -2376039, -3168082, -3960143, -4752228, -5544343?\nAnswer: -6336494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21*(-11)\/11\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - j**2 + j**2 + (-486*j + 486*j + 136*j**2)*(-4*j + 4*j + j) - j**3 + 3*j**3 - 3*j**3)*(0 + 0 + 2).\nAnswer: 268*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/2*i**2 - 9\/8*i**5 + 21\/8*i**4 + 0 + 9\/4*i**3 - 3*i = 0 for i.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 11*h**2 + 8*h - 11. Give q(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*y + (-3*y + 2*y + 3*y)*(-1 + 3 + 0) + 5 - 11 + 6 - 93537*y - 14172*y + 20345*y.\nAnswer: -87362*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -36. Let m = p - 11. Let k(d) be the third derivative of -d**4\/8 - 5*d**3\/6 - 3*d**2. Calculate k(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 - 6 - -7. Put t, -0.05, -1 in descending order.\nAnswer: t, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/4, -3, -0.46?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -17\/7, -0.1379, -1\/2?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -131906 or -131900?\nAnswer: -131900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Let d be 2\/(-3) - (-2)\/u. Suppose d = -f + 4, 6*m = 4*m - 4*f + 1182. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297628?\nAnswer: 2, 3, 63823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 48, 68, 88, 108?\n\"Answer: 20*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:08 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01721174 rounded to 5 decimal places?\nAnswer: -0.01721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9*(-8 + 8))\/(-2). Let i be 4 - 2*(-2)\/(-4). Suppose -2*c + i*a = 0, c + d + 5 = 4*a. Solve -3*k = 2*u + 4, -6 + 0 = -k + c*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -32871000 to the nearest 100000.\nAnswer: -32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6320 - 44242\/7. What is the nearest to 2.8 in k, -15, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 4. Let i be t(-3). Suppose -2*h = -i*h + 360. Calculate the greatest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-4))\/((-2)\/2126). Suppose 1068 = i - 5*i. Let o = i - c. Calculate the common denominator of o and -59\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/75)\/((-4)\/(-10)). Which is the closest to 13? (a) n (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 33158457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y + 4*y. Suppose 5*v - 50 = 2*j, v - y*j - 33 = -3*v. What is the remainder when 34 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37586213 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9177, 18329, 27453, 36549?\nAnswer: 45617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + j = 75, 6*w - 3*j + 67 = -71 + 48 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/60 - 73*w**4\/3 - 42632*w**3\/3 - 1670*w**2. Suppose b(u) = 0. What is u?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = 4. Sort -1, t, -3 in increasing order.\nAnswer: t, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 21. Suppose -r + 4*k = -6, 0*r = 5*r + 3*k - 7. Suppose 0 = -r*y - 2 + 4. What is the smallest common multiple of a and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 93. Suppose 2*z + 4*x + 12 = 3*z, -2*z + x = -j. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-754)\/29)\/13*26\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1102687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 - 41 = -4*w. Suppose 327*q - 5232 = 303*q. What is the remainder when q is divided by w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100101010100 (base 2) to base 9\nAnswer: -27667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 435947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-794)\/729332)\/(70392\/3200954004760). Let t = -6\/76397527 + p. Let o = -49509 - t. Calculate the common denominator of 41\/22 and o.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*r**2 - 192*r**2 + 59*r - 57*r.\nAnswer: -237*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106247494453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 10:41 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*a + 590 - 218*a - 586 + 2790*a**2.\nAnswer: 2790*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -5. Suppose -5 = -3*i - 23. Let k = j - i. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + g**2 + g. Let h be w(-1). Suppose -h*k = -0*k + 10. Sort -4, k, 0 in increasing order.\nAnswer: k, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29372942083*r + 4*r**3 + 58745884187*r - 29372942104*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1765*a - 25869 - 35960 + 1819 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48992 - -48986. Let g(o) = o**3 + 6*o**2 - 5*o + 10. Let c be g(-7). What is the biggest value in -5, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = -y - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.86629 to the nearest integer.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 22\/3*k**3 - 132 - 1\/2*k**2 - 94*k. Differentiate z(f) with respect to f.\nAnswer: 44*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3148805514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 4:33 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - 10*h + 45. Let z be i(4). Calculate the highest common divisor of 851 and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 12 (b) -16 (c) -23 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220930 divided by -1110465?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-15) - 123564\/(-16290)) + -7. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181 + 296. Let a(l) = -7*l**3 - 2*l**2 + 6*l + 4. Let x be a(5). Calculate the remainder when h is divided by (-3)\/2 - x\/22.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1694 divide 380168943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 8 = -33. Let n(t) = 1 - 2*t**2 + t**3 + 5*t**2 - 4*t**2. Let h(w) = 4*w**3 + w**2 - 6*w + 10. Let d(m) = h(m) - 5*n(m). What is d(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-1)\/2)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*x + 333*x + 574 = -14*r, 328 = -8*r + 3*x for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**8\/112 + u**5\/20 + 3*u**2. Find the third derivative of c(q) wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-96))\/((-4)\/(-2)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k + 8 = 0. Suppose -4*x = 3*p + 105, k*x + 68 + 27 = -5*p. Let c be 6\/(-12)*x\/1. Calculate the greatest common divisor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 + -9) - (0 - (-1 + 7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391*-5.\nAnswer: -1955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74596 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 14. What is r(3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -6 - 6. Let o = 6 + s. Suppose 0 = -4*u + 6 - o. Let q(t) = 5*t - 1. Calculate q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7258741.\nAnswer: 7, 19, 54577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(10\/7)*c*c*c*c*(c*c**(-4\/5)*c)\/c*c*c*c*c*c\/c**(-4\/3)*c**(-1\/4) assuming c is positive.\nAnswer: c**(4919\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-10))\/(203\/((-1827)\/54)*2\/(-200))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1254 in -0.3, -86, -3\/4, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 198\/35 + -187\/14. Find the common denominator of 43\/35 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 20*c + 28. Calculate y(-23).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 4*p - 2*f + 20, 3*f = 5*p + 5. Let u be 45\/9 + (0 - p). Suppose 0 = u*b - 168 + 3. Calculate the remainder when b is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*x + 1)*(3 + 4 - 4)*(x**2 - x + x) + 7*x**2 - 9*x**2 - 11977*x + 11984*x - 2*x**3.\nAnswer: -8*x**3 - 2*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218109*n + 1 - 218109*n + n**2.\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 4. Let c(j) = -9*j**l + 2 + 0 - j**3 + 1. Let y be c(-9). Sort 1, y, -1.\nAnswer: -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140582 is divided by 2192.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 11:43 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 5*t + 18*v + 12, -5*t - 5*v + 30 = 0. Let r(p) = -p - p**2 - 5*p**3 + 0*p + 0*p**2. What is r(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -640\/7, 4, -2\/779, -2?\nAnswer: -2\/779","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/9342 and -17\/44.\nAnswer: 205524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2195\/(-3900) + 52\/(-338) and 71\/39.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598988 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-3*c**2 + 2*c**2 - c**2) + c - c**2 - c + (-2*c + c - 25*c)*(4*c + 3*c - 5*c) + 4 - 4 - c + 2*c**2.\nAnswer: -47*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.08 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/20 - -259\/60. Let l = 16\/3 - o. Solve 2\/3*u + 0 + l*u**2 = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -10, -13, 511, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 10*f**5 + 5275*f**4 - 18540*f**3 + 23870*f**2 - 13270*f + 2655 = 0?\nAnswer: -531, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q**2 - 2*q**3)*(-6*q - 4*q + 11*q)*(3 - 3 - q) - 27*q + 22*q**5 + 27*q.\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*q - 93*q - 95*q.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 3*r + 2*r. Let d = r + -111. Let a be 2\/15 + (-143)\/d. Solve 3*g - a + 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2\/241, -2, -4, -1\/5?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*4839\nAnswer: -338.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16554 = -9*c + 20988 + 10266. Does 94 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.2 + 2.4. Round z to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 30 = 5*r - 6, -2*r + 6*j + 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 8:50 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 14) to base 4\nAnswer: -3211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:09 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11316096 divided by 27072\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.03825 decades to years.\nAnswer: 220.3825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1539, -1501, -1437, -1347?\n\"Answer: 13*r**2 - r - 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (24 - -44) - (-405 + 398).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggy when four letters picked without replacement from yggyggggggy?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.7 (b) -64 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24692410 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 - 16*h**2 - 4*h - 4. Suppose -5*c + 2*g - 11 = 0, g + g = -3*c + 3. Let w(m) = m**4 - m**3 + m + 1. Let x(o) = c*v(o) - 4*w(o). Factor x(l).\nAnswer: -4*l**2*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -304 + 619. Let v be (-12)\/t*3 - 8\/(-20). Suppose -2\/7*k**4 + 4\/7*k**2 - 2\/7*k + 4\/7*k**3 - v*k**5 - 2\/7 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/20 + 117\/(-260))\/((-2)\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(170)\/sqrt(90))**2.\nAnswer: -2*sqrt(17) + 98\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -59 (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101221\/14744 + 627\/97. Find the common denominator of 15\/332 and u.\nAnswer: 12616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -275.8 - -290. Let p = 14 - f. Which is the nearest to p? (a) 7 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -20, 3, -98 in increasing order.\nAnswer: -98, -20, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 38179259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/30 and 113\/17514.\nAnswer: 87570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 0.12 (c) -8 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89849328 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 5*b**2 + b + 7. Let s be y(-5). Factor 4\/3*h**s + 2\/3 + 3*h.\nAnswer: (h + 2)*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1697*u + 37126 = -27528 + 20532 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (25\/300*-84)\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8742593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w - 21803 + 41553 + 50834. List the prime factors of w.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 34*r - 29*r + 55, z - 4*r = 30. Let f(x) be the second derivative of z*x**2 + 0 + 45*x + 5\/12*x**4 - 10\/3*x**3. Factor f(g).\nAnswer: 5*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 726 - -9?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*y + 324*y - 8464 = 4556 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 804 and 22572903.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 723559720 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -6, -40, -108, -222, -394, -636?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 720*f. Let z(b) = -58963*b + 58963*b + 5*b**2. Give m(z(j)).\nAnswer: 3600*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2045.1 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f**2 - 16*f**2 - 4*f**5 + (f**2 + 0*f**2 - 3*f**2)*(0 + 0 + f**3) + f**5 + 2*f**5 - f**5 - 8*f**5 + 2*f**5 + 21*f**5.\nAnswer: 11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 111\/(-54))\/(28 + 3996\/(-144))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6480) - -6*(sqrt(6480) + sqrt(6480) + 1 + sqrt(6480) + sqrt(6480))) + 3 + 2*sqrt(6480))*-3)**2.\nAnswer: 157464*sqrt(5) + 42516009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8505728 divided by 2126432.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 5*l + 28, 3*l = w + 12. Let g be (70\/w)\/((-10)\/(-15)). Let x = 70 - g. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174337 - 174705 = 8*u for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 60 (b) -2707 (c) 2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(((-54)\/18)\/((-330)\/22))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1553354 and -441 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 13. Let p be u(-11). Suppose -4*g = -2*d - 50 - 26, 3*d - 30 = -p*g. Suppose -39*j - 6 = -41*j. Solve j*z = 3*f - 9, -3*z + g = -7*z - 2*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 22 = -3*m, 30*m - 125 = 404*s - 405*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38020000 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 7*o**2 + 8*o + 3. Let t be -4 - ((-6)\/(-2) - 1). Let i be 1*-10 + t\/(-3). Let h be n(i). Solve -h*k = -7*k - 12, 4*w - 11 = k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 14. What is the greatest common divisor of w and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjp when three letters picked without replacement from pnxljjjpllpfppl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = 3*n - 190. Suppose -a = -5*c + 475, -n*c - 4*a = -5*c + 95. Let g = -84 + c. Calculate the least common multiple of g and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-20 - 3 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37380 and 1260?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1958)\/1335 + 2\/15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 256*v**4 - 7864*v**3 + 12752*v**2 + 50100*v + 29232 = 0.\nAnswer: -87, -1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + 164*y**2 - 156*y - 461. Determine b(81).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(117)*4)\/(sqrt(45)\/sqrt(5)*4) - (-2 + (1 + sqrt(637))*-5*-2))**2.\nAnswer: 1072*sqrt(13) + 58421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 38*p + 40 = 0. Let x = 6 - -2. Calculate the smallest common multiple of x and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-882)\/(-15)*((-264984)\/1267 - -207)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 5*i**3\/6 + 3*i**2 + i. Let k(d) = 0*d - 3*d - 1163 + 1159. Let l(a) = 3*a + 4. Let s be l(-4). Calculate s*k(w) - 5*v(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18777, -38493, -58209?\nAnswer: -77925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3161940 (base 12) to base 14\nAnswer: 134d9ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1378.9 - -1379. Let u = -51 - -19. Is u greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -4\/5*d**2 + 4\/15*d**3 + 0*d + 3 - 12\/25*d**5 + 4\/5*d**4. Find i such that c(i) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + g - 51 = 0, 0*g + 2*g + 60 = 3*z. What is the highest common divisor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 21. Let y be z(18). Let w(r) = -2*r**3 - 17*r**2 + 24*r + 35. Let j be w(y). Suppose 5*h + 999 - j = d, 638 = 2*h - d. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56244149297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20120221 (base 3) to base 5.\nAnswer: -123204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-6))\/4 - (12 - 11)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -667 + 6005\/9. Suppose 0 = -4*i + i + 18. Which is the biggest value? (a) i (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 4*n - 7. Let z be a(6). Suppose k = z*k - 152. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-876)\/1168)\/(2\/(-64)*9).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/161, 4, -0.4, -2\/15, -7 in increasing order.\nAnswer: -7, -0.4, -2\/15, -2\/161, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9798 from 6.\nAnswer: 5.0202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170970 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -16. Let h be ((-35)\/(-2))\/((-1)\/l). Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-15) - (-3)\/(2 + -17). Suppose -s*w = -4*w - x + 19, -w = 2*x - 11. What is the highest common factor of 63 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - -2*(-28)\/63?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4294 = 5*w, 2578 = 4*w - w + 4*f. Suppose w = -t + 4*t. Suppose 41 - t = -5*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4\/3 + p**3\/3 - 2*p**2 - 4*p\/3 + 8\/3 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -6, 26, 7, 1.3, 0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54088694?\nAnswer: 2, 11, 223507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -21*v + 1116. What is c(54)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 8 - 0. Find v such that 3*v + 27\/2*v**p + 36*v**3 + 39\/2*v**2 + 0 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 193*z. Let u(o) = -120928*o. Determine u(n(i)).\nAnswer: -241856*i**2 + 23339104*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4350 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5039\/1094 or -5?\nAnswer: -5039\/1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -959 + 228*l**3 + 124*l**3 - 2*l**2 + 959 - 2*l - 81*l**3 to the form b*l**2 + u*l**3 + o*l + i and give u.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - b + 2*b**2 + b**2 - 2*b**2 - b**4 + b**2 to the form p*b**4 + v*b**3 + h*b**2 + t*b + u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - (-2 + -3)) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/2 + 17*j\/2 - 8 = 0 for j.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86836843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*-3*4\/(-36). Solve m + 0 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**5\/2 + 9*c**4\/2 - 432*c**3 - 2046*c**2 + 13104*c - 14688 = 0. Calculate c.\nAnswer: -12, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (60274*((-150)\/(-20) - 8))\/(-1)?\nAnswer: 30137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78\/95 + -8\/19. Let y be -1*((-8)\/60 + 8\/(-15)). What is the nearest to -1\/3 in c, y, -5, -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -3)*(-21 - -3) + 2. Suppose -6*v - 28 = t. Let b(k) = -k**2 - 14*k - 40. Let f be b(v). Let h(a) = -a. Determine h(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28068\/37 greater than 760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96577647 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*a - 30. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886760619.\nAnswer: 3, 59, 5009947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*o*s + 112*o*w**2 - 245*o*w + 3*s*w**2 - 81633*s + 2 wrt w.\nAnswer: 224*o*w - 245*o + 6*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (126\/9 + -11)\/(-28). Let l = 0 + -1. Which is bigger: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.719333 months in decades?\nAnswer: 0.139327775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*o + 1 = 0, 0 = 4*b + 6*o - 11*o + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 - -87. Let g be k\/(-190) - (-2)\/(-5). What is the closest to 0 in g, -4, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/4 - 15\/(-10). Put g, -2, 1, -5 in ascending order.\nAnswer: g, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -58, 8\/45, 32?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 709 divide 3372713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 6) to base 5.\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11423189 to the power of 1\/2, to the nearest integer?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57672790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -614923811 rounded to the nearest 1000000?\nAnswer: -615000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 706 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 6*m**2 - m - 2. Let n be f(-6). Let j(h) = 6 + 2*h + 2 - n - h**2. Determine j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1292582*u + 1292583. Calculate b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*2 + (sqrt(13) - (sqrt(13)*4 + 2)) - (sqrt(65) + sqrt(65) + 5*sqrt(65)*-1 + sqrt(65) - sqrt(65) - sqrt(65))\/(sqrt(360)\/sqrt(8)))**2.\nAnswer: -196*sqrt(13)\/3 + 31249\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2181597, -4363201, -6544805?\nAnswer: -8726409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/3)\/(w*w**(-10))*w*w\/((w\/(w\/w**4))\/w)*w**3 assuming w is positive.\nAnswer: w**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 + 102 = -18*t + 358 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102130330 (base 4) to base 14.\nAnswer: -21396c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) -68.2 (c) 2 (d) -9\/5 (e) 10 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6078?\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-14)\/(-20). Suppose -8 = 4*j, -6 = a + j - 0*j. What is the closest to -2\/7 in p, a, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 4)\/((148\/(-259))\/((-66)\/7)). Solve -i*a - 120 = -96*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -40*z - 603. Calculate the remainder when 210 is divided by l(-17).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000322925041 to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 7*m**2 - 9*m - 6. Let d = -5 + 5. Let h(s) = s**3 + s**2 - 6. Let x be h(d). Let y be k(x). What is the greatest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -116\/347? (a) 5 (b) 0.1 (c) 73 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -4, 16, -4\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 451 + -436. Let b be (4\/2)\/(2\/(-5)). Let v = a + b. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 664 and 53680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 49. Suppose -9*w + 54 = 18. Suppose 0*i = -4*m + 4*i + 12, -w = -4*i. Sort q, m, 63 in ascending order.\nAnswer: q, m, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 7*n - 9. Let h be l(6). Let u = -5 - h. Let w be (-3)\/9*0 + u. Do 0 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2942.2 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120331 + -3?\nAnswer: -121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -913\/111 or -8?\nAnswer: -913\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1281\/15 - (-20)\/(-50). Let c(g) = g**3 - 2*g**2 + 2*g + 2. Let z be (18\/15)\/(4\/10). Let m be c(z). What is the highest common divisor of m and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282922856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.68 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -36*q**2 - 6*q - 20. Let y(j) = -25*j**2 - 4*j - 13. Determine 5*h(m) - 8*y(m).\nAnswer: 20*m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 + 15. Let m = -131.084 - v. What is the closest to m in -0.2, -0.3, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*d + 60 = -167*d - 50 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 3*y + 5. Let w be f(4). Let p = -37 - -62. Calculate the greatest common factor of w and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47, -158, -355, -668, -1127, -1762, -2603?\n\"Answer: -5*i**3 - 13*i**2 - 37*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*l = -3*l + 406224. Is 39 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h*h\/h**(-5\/3))*h)))\/h**(8\/3))\/(((h**(-4\/9)\/h)\/h)\/(h**6\/h)) assuming h is positive.\nAnswer: h**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -59*k**2 - 40*k - 15. Let c(h) = 42*h**2 + 28*h + 10. Let z(u) = 7*c(u) + 5*w(u). What is z(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 0*p**3 - 4 - 4*p + 2*p + 1 to the form s*p + d*p**3 + f + a*p**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 762, 2807, 6782, 13329, 23090, 36707?\nAnswer: 54822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*588\/224*25*(-12)\/(-70).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18055?\nAnswer: 5, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.226 + 0.176. Let s = -0.0499411 - v. What is s rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 22*n + 25. Calculate m(20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t + m - 290, -t - 3*m + 72 = 0. Let a = 57 - t. Suppose 6*n - 5 + 35 = a. Which is greater: -16\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15762\/(-450) + 1706\/63975?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259 + -110. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 - -0.02. What is the closest to -0.2 in -1, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/3 + 7866*k - 94376\/3 = 0.\nAnswer: 4, 23594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + 11 - (6 + 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10a120 (base 11) to base 6\nAnswer: -3423520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 1\/7, -5, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/48)\/(22\/88)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 2*y - 96. Let f be x(-11). Solve -f*d + 4*j = -0*j - 23, 3*j = -15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 38*s**2 + 1153*s + 7133. Calculate h(-6).\nAnswer: 1583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**2. Let u(j) = -32*j**2 - 16. Give u(m(y)).\nAnswer: -1568*y**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 4*p = 11, -b - 5048*p + 59 = -5020*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3831264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2578)\/(-3)*(-3)\/(-2). Let s be u - (-3 + 4)*-1. Round s to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10840.67073 - -10835.97072867. Let i = -4.7 - s. What is i rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-16)*1416\/1180)\/((-2)\/2*-1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35677261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = 110. Let p = 193.599 + -203.599. What is the nearest to 0.1 in j, p, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567347 to the power of 1\/2, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 + 8*p**2 - p - 10. Calculate x(5).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-5\/3)*v*v)\/v)\/v)\/v*v**(-33))**(-5\/6) assuming v is positive.\nAnswer: v**(260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95 and -7.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385947415.\nAnswer: 5, 7, 11027069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -88723968595.852.\nAnswer: 88723968596.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**2 - 7*b + 63. Let g = -435 - -406. Is t(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcblb. Give prob of picking 1 l and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {z: 4, i: 3, h: 4, g: 5, w: 1, d: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756 divided by -26?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -48 (b) 5 (c) -164 (d) 1\/1377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 7, x: 2, y: 3}. Give prob of picking 1 x, 1 i, and 1 y.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l**(-1\/3)\/l)\/l))\/(l**(-4\/3)\/l))**12\/(l*l\/l**(2\/5)*l**(-5)*((l**(1\/3)*l)\/l)\/l*l*l*l**(-6)*l) assuming l is positive.\nAnswer: l**(766\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*(sqrt(72) + -2)*-6 + 2))**2.\nAnswer: -511488*sqrt(2) + 1580608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/(r\/((r\/r**(-1\/4))\/r)*r)*r*r**1*((r*r**(1\/3)\/r)\/r)**(3\/22) assuming r is positive.\nAnswer: r**(139\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r - 8. Let m(x) = x**3 - 2*x**2 - 4*x - 2. Let t be m(-2). Determine k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 4)*(3*h + 0*h - 5*h) - 4*h - h - 6*h)*(9 - 10 + 27).\nAnswer: -182*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*1266\/40090.\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10726862 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(102)\/((sqrt(66)*-3)\/sqrt(11)) + 3 - (-2 + sqrt(34)\/((sqrt(8) + 3*sqrt(8))\/sqrt(4)))).\nAnswer: -7*sqrt(17)\/6 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-130)\/(-24))\/13)\/(4\/(-8))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-3\/4)*y*y\/(y*y\/y**8))\/((y\/(y\/(y\/((y**(-2)\/y)\/y))))\/(((y\/y**(-2\/21))\/y)\/y)) assuming y is positive.\nAnswer: y**(281\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 0*q**3 - 73 - 2*q - 3*q**3 + 72 to l*q**2 + m + p*q**3 + j*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16 - 11) + (-1 - -1). Let x = c + 17. What is the lowest common multiple of 20 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96249235900 rounded to the nearest one million?\nAnswer: -96249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -305 * 12.81.\nAnswer: -3907.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29957 = 3*s - 5*a, -2*a - 31894 = -3*s - 1922. Suppose s = -16*f + 4106. Let p = -244 - f. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -867 + 860. Which is the nearest to -4? (a) -4 (b) -0.5 (c) v (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -581*k - 1905. Is 12 a factor of g(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 281.2 * -0.07\nAnswer: -19.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 17. Suppose -18 = -3*v - 0*v. Let i(g) = 4 - 2 + 2*g**2 - 1 - 7. Let z(c) = v*o(c) - 17*i(c). Let h(x) = 2*x. Calculate z(h(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 64*q - 37*q = 35*q + 37, -5*q = -3*u - 3*q - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*s + 8 - 8.\nAnswer: -271*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.74 + 8.739. Let g = o - -1. Round g to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 0 - (-695 - -700 - (-23 - 1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 0*m + 27472 = 22*m. Calculate the remainder when m is divided by 284.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than 5.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -1 (b) 0.04855 (c) -2 (d) 4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q. Let d(y) = -11*y. Let c(r) = -7*d(r) + 5*h(r). Let k(s) = 2*s**2 + 10*s - 8. Let p be k(-6). Let a(t) = -t + 9*t - p*t. What is c(a(f))?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 286.86 + -280.5025. Round f to 1 dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5362079*p + 8585993 wrt p?\nAnswer: 5362079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 825?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26842, -26844, -26846, -26848, -26850?\n\"Answer: -2*d - 26840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 407*h + 3544. Determine m(144).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - h + 7 = 4*h, -q + 4*h = 29. Let n be ((-24)\/q)\/(2\/3). Suppose -2*s + n + 6 = 0. Solve -5*f = -s*c, -6*f + 2*f = -c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1573))**2 - (sqrt(1300) - (sqrt(1300) + -2)).\nAnswer: 25166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztb when three letters picked without replacement from {t: 6, z: 1, e: 3, x: 3, b: 5}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2985)\/9)\/((-3)\/18). Suppose -z = 4*z - b. Let x = -235 + z. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:33 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*u - 49*u + 36. Suppose -2*s + 5*s + 4*q = 28, 0 = s + u*q - 20. Which is greater: s or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1188)\/216*28\/(-770)*(-300)\/2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-45)\/12)\/(-15) - (-35)\/4. Solve 4*c - p = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930501622.\nAnswer: 2, 167, 1559, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18362318 is divided by 99.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*r - 122*r + 231 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r = -19*r + 24, -3*z = -r + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 13*g + 5*v + 845, 3*g - 5*v - 509 = 0. What is the remainder when g is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438744583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*m = 28, -162*m - 20 = -y - 158*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a - 105 + 23 = 0. Which is smaller: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 12 = 12*m. Suppose 2*q = m*q, 5*i - 10 = q. What is the units digit of 93 - 10 - i*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**30\/f**29*((f*f**(6\/7))\/f)\/(f*f**(-2)) assuming f is positive.\nAnswer: f**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 1, d: 1, n: 1, l: 1, k: 2}. Give prob of sequence dfkf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.101 * -30.9.\nAnswer: 3.1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 23 - -1) + (11 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1959136*v**3 - 3125579*v.\nAnswer: -11754816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 - -155. Let b = -335.5 + o. Is -14 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 15. Let n be y(-6). Suppose -n - 19 = -7*i. Suppose 3*b + 35 = -4*g, -i*b - g + 2 = 27. What is the closest to -1 in -4\/7, 4, b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-1\/3)))**(-37))**(-42)\/((m**(-1))**(-1\/14)*((m\/((m*m**(-7))\/m))\/m)\/m**0) assuming m is positive.\nAnswer: m**(-7351\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -478048248 and -49.323.\nAnswer: -478048297.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/4 + c**3 - c**2\/2 - 4*c + 34. Determine a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d + 6*d - 35*d)*(1 + 2 + 0)*(126*d + 14*d**3 - 126*d).\nAnswer: -1680*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6027 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(0*n + n + 1 - 3*n) + 39 - 673*n + 676*n - 11.\nAnswer: 5*n + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 2, v: 3, l: 1, x: 3, m: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/20)\/(6\/(-4) - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m + 2*k - 12, 4*k = 8. Let v be -2 + (-34)\/m - 2. What is the third smallest value in 0.4, -2, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*p*s**4 + 2*p*s - 3*s**2 - s - 5 wrt s?\nAnswer: 456*p*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**2*((x\/(x*(x*x*(x*x**3)\/x)\/x))\/x)\/x)**33 assuming x is positive.\nAnswer: x**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -614 - -5e5?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -23*y + 432. What is the units digit of ((-8)\/y*-9)\/((-4)\/(-126))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*s - s - 119 = 0, -s - 47 = -d. Let j = 616 - 200. Calculate the highest common divisor of j and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b - 18915 = -18819 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*(sqrt(110) - sqrt(110)*-1)*-4)\/(sqrt(40)\/(sqrt(100)*2))*6)**2.\nAnswer: 2534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6590 and 20069845.\nAnswer: 3295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h + 2. Let n(i) = -7*i - 7. Let u(x) = -2*n(x) - 7*r(x). Suppose 0 = -4*q - 4 + 32. Let z(w) = w - 2*w - 7*w. Determine q*u(l) - 6*z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30906 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 3*m**5 + m**5 + (-4*m**2 - m**2 + 4*m**2)*(0*m**3 - m**3 - m**3) - 4 + 4 + 4*m**5 + m**5 - 3*m**5 + m**5.\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44330, 31, -18\/7?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-18))\/(((-280)\/(-48))\/(-35)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297*k**5 - 47*k**4 + 11*k**3 + 161655*k**2 - 12*k?\nAnswer: -17820*k**2 - 1128*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-2) - (-6)\/12. Let h(b) = -3*b + 3. Let x be (-3 + -1 - -5)*-3. Let t(v) = -v + 1. Let p(g) = x*h(g) + 6*t(g). Give p(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.128 (b) -5 (c) 3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {l: 2, e: 1, h: 1, m: 1, v: 1, n: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 28. Let a = 13 + d. What is the second derivative of a*c**4 + 0*c - 6*c**4 + 0*c - c wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320605 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -153, 77, 307, 537?\n\"Answer: 230*m - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnncnnnnncnnnnccnn. What is prob of picking 2 c?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -2)\/(-3155 - 8). Is 1 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 27*o**4\/4 - 5*o**2 + 51*o + 1061. What is the derivative of c(r) wrt r?\nAnswer: 81*r**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyf when three letters picked without replacement from ayffa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**3 + 4 - 33*c**3 + c + 5*c**3 + 10 to the form w*c**2 + r*c + p + u*c**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(9\/(-180)). Suppose b = -4*l + 6*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4113051 divided by -1371017?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 6*f = -9. Let b be 16\/12*f - 0\/2. Find t, given that -2\/3 + 10\/3*t - 2*t**5 - b*t**2 - 4\/3*t**3 + 14\/3*t**4 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 672463*q**3 + 1635*q**2 - 22 wrt q?\nAnswer: 4034778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 62. Let l(z) be the first derivative of -3 + 4\/3*z**3 + 0*z + 1\/4*z**4 + a*z**2. Factor l(x).\nAnswer: x*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 5*r**3 - r**3 + 11 - 11 - 4*r**3 - 3*r**3 + 3*r**3 - r**3 + (-r - 2*r**2 + r)*(-2 + 2 - r) - 4*r**3 + r**3 - 2*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 3. Let x be z(-12). Let g be (x - -1) + 1*-4. Suppose h + 2*y = 20, -5*h - y + 40 = -2*h. Is g equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-15)\/(-64))*6\/504*21\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 3*n**2 - 3*n**2)*((2 - 4 + 4)*(0*n - 2*n + 0*n) + (-4 + 12 + 10)*(2*n + 0*n - 6*n))*(-n - 3*n + 3*n).\nAnswer: -152*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 14*x. Let d(r) = -6*r**2 + 401*r. Give t(d(f)).\nAnswer: -84*f**2 + 5614*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/45456 and 83\/30304.\nAnswer: 90912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.894794 milliseconds in hours?\nAnswer: 0.000003859665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3806, 4113, 4420, 4727?\n\"Answer: 307*h + 3499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-5)*(-155)\/62. Suppose 9794*n**2 - 659*n**2 + 9065*n**3 + 1715*n**b + 14272*n + 5000 + 8715*n**2 + 1228*n = 0. Calculate n.\nAnswer: -10\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 297, 327, 369, 429, 513?\n\"Answer: y**3 + 23*y + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 - 49*l**3\/3 - 400*l**2\/3 + 448*l\/3.\nAnswer: l*(l - 56)*(l - 1)*(l + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1) - (-2)\/(-2). Let r = 76 - 75. Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 4. Give f(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose -u + 5*u = -5*c - 26, -2*c - s*u - 16 = 0. Let b(m) = 6*m**2 + 1. Does 6 divide b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101362ng in grams?\nAnswer: 0.0000000000101362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, -11, -7, 13, 55?\n\"Answer: c**3 - c**2 - 10*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -63, -104, -161, -240, -347?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -130*n - 45502. What is y(-346)?\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0556 * -4041.\nAnswer: -224.6796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 w when four letters picked without replacement from rrhrwwrherrw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, 3\/4, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*z - 3*z - 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10 + o - 40 - 9 + 5*o. Let x be i(7). Suppose -5*c = 5*z, -3*c + 4*c = 4*z - 15. Solve 0 = -l + 1 - 3, -9 = -z*w - x*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -17 + -13 - -14 - 14\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + 41*l**2 + 27*l + 860. Give h(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6062 divide 145405398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0353102131 to 4 dps.\nAnswer: -0.0353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -y + 8, -3*y - i + 20 = -3*i. Find the second derivative of -t - 6*t**3 - 6 + y wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10bd (base 15) to base 6\nAnswer: 24241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54914.\nAnswer: 2, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 14*u - 4. Let v(i) = 5*i - 5. Let l be v(4). Suppose -2*g - 39 = 5*n, -2*n - l = 2*g - 5*n. Does 9 divide y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.083187745 to four dps.\nAnswer: -0.0832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 3*h, -13 - 9 = i + 3*h. Let k = 13 + i. Solve t - 2*m + 3 = 0, -3*t + 2*t = k*m - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 1. Let q(k) = -4*k**2 - 3. Let u(c) = 2*q(c) - 9*s(c). Let z be u(0). Suppose -4*v + 10 = -z*v. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {u: 1, d: 1, e: 14}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 373, 843, 1501, 2347, 3381?\n\"Answer: 94*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*y + 195 = 230, -4*f = 5*y + 16 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/17 - 474*c**3\/17 - 942*c**2\/17 - 470*c\/17.\nAnswer: -2*c*(c + 1)**2*(c + 235)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 121016?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12748 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1026 and 2.\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 114642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t - 126. Let j = 18 - t. Let c be ((-1)\/3 - 1)*-9. What is the greatest common divisor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 8*h - 3. Let s be j(3). Is 49\/2*s\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3338, 6676, 10014, 13352, 16690?\n\"Answer: 3338*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -3*r**2\/2 + 17. Let j(a) = 2*a**2 - 4*a - 4. Let p(k) = 4*k**2 - 9*k - 9. Let t(w) = -9*j(w) + 4*p(w). Give g(t(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -3*o**2 - 51. Let v(p) = 4*p**2. What is v(r(w))?\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4431070.\nAnswer: 2, 5, 7, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7 + q**2 - 1041*q + 1044*q - 25. What is the tens digit of r(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/45*(-3)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8889446?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -1, -0.2, -3056316?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b**2 + 2*b - 147 - 2*b)*(2*b**2 + b**2 - b**2).\nAnswer: 4*b**4 + 4*b**3 - 294*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 5*i - 1. Let h = 55 + -39. Let y be (h\/(-20))\/(1\/15). Let p = -7 - y. Determine c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 3*p**2 - 2*p - 17. Let j be -3 - (-30)\/9 - (-26)\/(-6). Let m be w(j). Solve -11*k = -m*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2*(-2 - -1). Let j(o) = o**3 - 4*o**2 - 7*o - 7. Let t(q) = -q**3 + 5*q**2 + 9*q + 8. Let k(c) = -4*j(c) - 3*t(c). Give k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.051 (c) 4 (d) 2 (e) 51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106344362*p**2 - p**3 - 106344362*p**2 - 3*p**3 + 7*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 994 = -j. Let o = 62 + j. Let n(p) = 7 - 2 - 8*p**2 - p**3 - 1 + 7 + 11*p. Calculate n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5394909451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 899875 divided by -1\nAnswer: -899875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.32 - -2.72. What is the nearest to 2\/7 in 0.5, 0.2, -3\/4, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3931 - -3931.000004269. What is r rounded to 7 decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -22 - 2592*h**3 - 31 + 2593*h**3 + 7 - 2*h**2 - 3*h. Let g be a(5). Solve -9*q = -g*q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 4 + 2*l**2 + 1 - l**2 - 7*l. Suppose 3*r = -2*r + 300. Calculate the remainder when r is divided by h(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1207*t**5 - 2*t**4 - 2*t**3 - 234*t - 14 wrt t.\nAnswer: -24140*t**3 - 24*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-8)\/(-2) + 64400\/(-16350). Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-632)\/7 - 44\/(-154). Let b = o + 48. Calculate the remainder when 111 is divided by 1\/((-8)\/b)*(-288)\/(-54).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 12, 7365*i = 3*m + 7362*i + 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 396*b - 403*b + 3*b**2 + 67 + 69 + 46 wrt b.\nAnswer: 6*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*v + 58, 2*r = 2*v + 14 + 14. Calculate the greatest common divisor of r and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424*k - 588*k - 500*k = -26544 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(7\/(-42))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 157?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrcj when four letters picked without replacement from cjjjsrorryjj?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*5\/4*-2. Let o be d + -6 + 1*4. Sort o, -3, 4.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(1275\/680)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000218 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7472*(1180\/(-80) - -16).\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18517595 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1856 and 13456?\nAnswer: 53824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 108. Suppose 0 = 2*l - 4*d - 6, 0 = -12*d + 15*d + 9. Which is the third smallest value? (a) l (b) y (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**8\/672 - 347*f**7\/84 + 231*f**6\/8 - 1039*f**5\/12 + 6925*f**4\/48 - 577*f**3\/4 + 9*f**2 + 116*f. What is i in c(i) = 0?\nAnswer: 1, 1731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let o = 1.6 + -0.6. Let d = 0.39 - -0.01. Which is the closest to o? (a) -4 (b) -2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*f\/(f**(-1)\/f)))\/f))**(-5\/6)*f**4*f**0)\/(((f**(-1\/9)\/f)\/f)\/f**11)**(-11) assuming f is positive.\nAnswer: f**(-2599\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose -u = c*u - 6. Let m = -53 + 55. Calculate the remainder when u is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12030000 to the nearest 100000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 8. Let z(x) = -4*x + 7. Suppose 2*j + 0*a + 4*a + 6 = 0, -21 = 4*j - a. Give j*q(k) + 6*z(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245251065?\nAnswer: 5, 89, 2798317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 3. Let l = 5 + t. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 - 3*l**2 - 1. Suppose 5*q + 20 = 0, 4*c - 32 = 3*q - q. Let j be t(c). Solve 5*n = -j*n + a - 23, -2 = a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let x(u) = -13*u + 5. Let g(y) = -14*s(y) + 2*x(y). Let i be g(8). Let q = i - 23. Solve -3*t - 2*w - 18 = 0, 5*t + q*w = 6*w - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + v + 1. Let d(l) = 2*l**2 + l - 6. Let s(c) = -d(c) - 3*q(c). Let z(t) = 5*t**3 - 21*t**2 - 7*t + 5. Calculate -7*s(b) + 4*z(b).\nAnswer: -b**3 - 7*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 423.24\nAnswer: -211.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -164 - 4?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 5, 116657, -2, 6 in decreasing order.\nAnswer: 116657, 8, 6, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4795+0.076\nAnswer: -4794.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4\/7*w**3 + 0*w + 24\/7*w**2 - 128\/7 = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, h: 3, i: 2, b: 6}. What is prob of sequence yhhi?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4 + 4 - h - 11. Let i(q) = 5*q + 13. What is 4*i(u) + 18*v(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.96.\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60640)\/(-4548)*6\/(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 18756634 = 15585366. Round s to the nearest ten thousand.\nAnswer: -3120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:41 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9}. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2.23 (b) -0.2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2347*o**2 - 68*o + 17. Let g(z) = 782*z**2 + 24*z - 6. Give -17*g(t) - 6*l(t).\nAnswer: 788*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010230 (base 4) to base 16.\nAnswer: 112c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**0*a)*a)\/a)\/a**5*a**(2\/15)*a**(-1\/12)\/a assuming a is positive.\nAnswer: a**(-119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 626617 or 626644?\nAnswer: 626644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 - -188. Solve 3*g - 11 = -x, 0 = g - q + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214 + -201.1. Let t = -14.44 + q. Let a = t - -1.5400063. Round a to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.7 (b) 43\/4 (c) 0.2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3356 - -3357.1. Let y = -26\/3 - -9. Put -5, -0.4, m, y in descending order.\nAnswer: m, y, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58433 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-7260)\/6534 + (-1618)\/18?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s - 22. Let g be a(-4). Suppose -g*v - 6 = -18. Solve -v*l + 6 = -0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/31 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 7*q = 7, -153438*h + 8*q = -153439*h - 23 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*j + 26 = -0*i, -3*i - 2*j = -7. Solve -7*d**3 - i*d**3 + 5*d**3 - 30*d**2 + 2*d**3 - 55*d - 30 = 0 for d.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1010001111?\nAnswer: -1010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**4*m)*m)\/(m\/m**(-25)*m) assuming m is positive.\nAnswer: m**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 4*t - 1. Let p be c(5). Suppose -p*w + 15 = 3. Solve 2 = w*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - j + 9. Let x(a) = -a**3 + 8*a**2. Let z be x(8). Let n be o(z). Suppose 4*r + 61 = 5*h, -r + 23 = 4*h - n. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 9*z**2 + 6*z - 20. Let k be r(8). Let a = k + 57. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5247*b**2 + 375*b - 1 wrt b.\nAnswer: 10494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 divided by -1505?\nAnswer: 512\/1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.441 + -18.52. What is k rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 435\/18 - 1\/6. Let z = -20 + m. Suppose 2*x - 444 = -z*x. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + a**2)*(3*a - 3*a - 2*a**2) + 1193*a - 73*a**4 - 1193*a + a**2 - a**2 + 2*a**4.\nAnswer: -73*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n + 4. Let t(d) = -46438*d - 23968. What is -5992*c(a) - t(a)?\nAnswer: 10486*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqlqlbqbbqoltltq. What is prob of picking 1 t and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -339 less than or equal to 260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Let o = j + -4. Suppose -d = -o*d - 5. Solve 4*t = -0*t + 2*m - 2, d*t = 3*m - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 51019584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -9. Let a(v) = 4*v**2 - v + 2. Let i(d) = 3*d**2 + 3. Let o(t) = 4*a(t) - 5*i(t). Let b be o(n). Solve 9 = b*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133130123323 (base 4) in base 16?\nAnswer: -7dc6fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141224481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*l)*(2 + 2 - 5) - l - 3*l + 5*l - 4*l + 3*l - l + (-l + 3*l - l)*(1 - 4 + 2).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 + 120155*h + 360510 = 0 for h.\nAnswer: -3, 24034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 20. Suppose -z + 0*g = -a*g - 25, 0 = 2*z + 3*g - 24. Let t = 29 - z. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/(1\/4). Suppose -3*x = i*o + o - 205, 4*x - 4*o = 220. What is the greatest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(468) + -1 + 2))**2 + 0 - (2 + sqrt(117) + 1 + sqrt(468)\/sqrt(144)).\nAnswer: 377*sqrt(13)\/2 + 7501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5143, -5151, -5159, -5167, -5175, -5183?\nAnswer: -5191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1167297 by 9.\nAnswer: 389099\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092857 is divided by 635.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:22 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 126*c**2 - 3*c + 224*c**2 + 25*c**2 - 124*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112556.\nAnswer: 2, 19, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 51 + 3. Let f be (-18)\/8*(-8)\/3. Let c(i) = -i**3 - 4*i**2 - 6*i - 6. Let v be c(-4). Solve -v = -q*m - f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1212.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.553 - 0.353. Which is the closest to 1\/3? (a) -4 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z - 45 = 0. Suppose -61 = -z*q - 25. Solve q*x + 0*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52546, -52555, -52574, -52609, -52666, -52751, -52870?\n\"Answer: -v**3 + v**2 - 5*v - 52541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = a, 0 = -o - 8*a + 3*a - 20. Let j = -92 + 101. Calculate the remainder when j is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 4745?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/308, 3, 2, -164, 1\/2, 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -247, -734, -1231, -1744, -2279, -2842, -3439, -4076?\n\"Answer: -o**3 + o**2 - 483*o + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let f(p) = -67842*p**2 + p - 2. Calculate f(w(t)).\nAnswer: -67842*t**4 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**2 - 6*z + 1. Let d be l(5). Suppose 3*w + 68 = d. Let b = w - 71. Solve -3*m = h - 1, 0 = b*m + 3*h - h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-151)\/(-13) - (26 + 11 + (121\/(-11) - 13)).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*(2070\/96)\/69.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.5. Sort 16, q, 3\/4 in ascending order.\nAnswer: q, 3\/4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 561 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3559 + -106849\/30. What is the common denominator of ((-39)\/(-8))\/((-15)\/18) and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22568748 to the nearest integer?\nAnswer: 4751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 200*t + 152. Calculate d(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v + 62*v + 91 = 0. Let d(i) = -111*i + 185. What is the tens digit of d(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 45?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*w + 29700 = 203*w - 311*w - 224*w for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15142896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116574.\nAnswer: 2, 3, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(343) + -2*sqrt(343)*-2 - sqrt(343)) + (sqrt(343) - (sqrt(343) - (sqrt(343) + sqrt(343)*-1 + 0))) + 0)**2.\nAnswer: -224*sqrt(7) + 5504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.208 + -0.508. Which is the smallest value? (a) -4 (b) 5 (c) f (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 4*j**2 - j + 2. Calculate the smallest common multiple of s(-2) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + 5 + -41 + -66?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, h: 1}. What is prob of sequence hrr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9216 and 24.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 23*q**2 + 23*q + 11. Let p(y) = -4*y**2 - 4*y - 2. Suppose 201*r - 211*r = 340. What is r*p(t) - 6*b(t)?\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 657? (a) -1\/12 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 6\/7, 161, -976?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 1009?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t + 39 = 0. Suppose 3*u = 4*q - t, -u + 2 = 7. Suppose 2*k = q*k - 8. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, p: 6}. Give prob of picking 3 p and 1 a.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172133*g**2*n**3 - 72*g**2 - 152*g*n**2 - 2*n**2 + 2*n wrt n?\nAnswer: -1032798*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/10 - 99*g**5\/20 - 17*g**4\/2 + g - 736. Let x(u) = 0. Calculate u.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 18. Let d be l(-22). Let p be -4*d\/10*-15. Let h(y) = 3*y**3 - 5*y - 5. Let v(t) = -15*t**3 + 24*t + 24. Determine p*h(j) - 5*v(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*j**2 + 47*j**3 - 59*j**3 + 47*j**2 wrt j.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.5 (c) 4\/267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.11 - -2.27. Let f = 204962 + -204961.8400092. Let m = f - o. What is m rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731223.9ng to grams.\nAnswer: 0.0007312239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -2*t**3\/3 + 9*t**2\/4 - t - 14. Find c such that p(c) = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 25 - 6*j - 30 - j. Let m be a(-1). Solve -m*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 40. Let s = o - -30. Let n be 758\/4*(-25 + s). What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + 394. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 31. List the prime factors of (-1405)\/u - 2\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4290, 16359, 36214, 63861, 99306, 142555, 193614?\nAnswer: 252489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10121302201 + -1?\nAnswer: -10121302202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*l**2*u*y - 2*l**2*u + 5*l**2*y - 10*l**2 - 2*l*u*y + 13*l*u + 3*l + 435*u*y + y wrt l.\nAnswer: -362*u*y - 4*u + 10*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3647.\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z**2 + 517*z + 813. Determine s(-50).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12344029.0000038 + -12344047. Let y = j - -18. Round y to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.022 - 0.078. Let y = -204 + 204. Sort a, y, 2\/41.\nAnswer: a, y, 2\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 1. Let w = v + 17. What is the remainder when 32 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-3))\/2*(-10)\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4740028 divided by 362?\nAnswer: -13094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6195, 9951, 13707, 17463, 21219, 24975?\n\"Answer: 3756*t + 2439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 8*o - 50. Solve 24 + 1 = o*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*1 - (60\/(-300) + 30254\/(-2030))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g - g, -3*r + 3*g - 30 = 0. Let x be r\/((-15)\/(6 - 1)). Solve s + 5 = -x*w, 0 = 2*w - 0 + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 11. Let g = 171.998 - 171.498. What is the second biggest value in g, -1, s, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q = -1807 + 473 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77444403 a multiple of 2229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**6\/9 - 8*b**5\/5 + b**4\/6 + 8*b**3\/3 - 1681. Suppose h(z) = 0. Calculate z.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 3*k - 377. Let m(c) = k - 3*c - 221. What is the tens digit of m(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*u - 149*u - 2*u**4 - 83*u)*(2*u + 2*u + 0*u).\nAnswer: -8*u**5 - 1280*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 232325556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-15))\/(4\/(-10)). Is 14\/n*(3 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 3*r**3 - 2*r**3 + (6*r**2 - 4*r**2 - r**2)*(2*r - 4*r + 0*r) + 2*r**2 - r**3 - 2*r**2 + 2 - r**3 - 2 + 12 - 71*r + r**3 + 74*r + 0*r**3.\nAnswer: -r**3 + 3*r + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r - 47*r + 12 = 0. Let l(c) = c**3 + 4*c**2 - 4*c - 1. Does 3 divide l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kze when three letters picked without replacement from kozzkveo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. Suppose 0*g - 36 = -2*k + 4*g, 14 = k + 2*g. Let t(z) = 2 - 3 + 2 + k*z. Let y(q) = -6*q + 1. Let s be y(2). What is s*l(p) + 2*t(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 330040 divided by 1480?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75519538 divided by 3.\nAnswer: -75519538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(68) + sqrt(68) + 0 + ((sqrt(272) - (-2*sqrt(272) - sqrt(272)))\/sqrt(8) + sqrt(34))\/(-4*(sqrt(2) - sqrt(2)*2)))**2.\nAnswer: -42*sqrt(17) + 7753\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 11:43 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/8 + (-104)\/96)*-3. Let i be 241 + (-12)\/(-3) + -1. Suppose -g*h + 688 = i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1bb2?\nAnswer: 1bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)\/j**(1\/2))\/(j\/(j**(-1)*j))**(-19) assuming j is positive.\nAnswer: j**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 2 + 792*g**2 - 1678*g**2 - 1066*g**2 to the form u*g**2 + t*g + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.8 and -5238068.\nAnswer: -51333066.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 9*u**2 + 15*u + 2. Calculate o(8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 15*k**2 - 6*k + 2. Let c(h) = h**3 + 14*h**2 + 8*h. Let o(w) = -3*c(w) - 2*u(w). Calculate o(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*s + 93*s - 17139 = -29508 - 29631 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b*v*z**3 - 5*b*z**3 + 29*b - 5*v*z + z**2 wrt z.\nAnswer: 18*b*v - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 354, 352, 350, 348, 346?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (9 + -4 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96325 rounded to 2 decimal places?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 198\/21 + -9 + 102\/7. Solve -4*q = -3*a + 2*a - w, 0 = -q - a + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 201 - 33 - 12396*y + 12392*y - 19. Let i be a(11). What is the highest common divisor of 75 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95720977337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 34*f**2 + 930*f - 49. Let n be j(-29). What is the highest common factor of n and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 38*r**2 - 7*r + 27. Let p be (3\/(-2)*2)\/((-156)\/(-1976)). List the prime factors of q(p).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose 0*k - 5*g = o*k - 4, 4*k + 2*g - 8 = 0. Let t(d) = 24*d**3 + 3*d**2 - 3*d + 4. What is the hundreds digit of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 4*z - 1. Let r be l(5). Let a = 177 + r. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 697168, 1394337, 2091506?\nAnswer: 2788675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o - 68. Let m be u(-10). Suppose 4*z - 38 = -0*l - 2*l, -4*l = 4*z - 56. Let q = 11 - l. Solve q*d = 5*d - 15, x + 4*d - m = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/12659556 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 635059*q**2 - q + 6. Let t(a) = -2*a. What is t(z(v))?\nAnswer: -1270118*v**2 + 2*v - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(-4) + -687 + 692 + -1 + 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(6\/10)\/(66\/330)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393*o + 10 + 2 = 1392*o - 2*r, -3*o - 5*r = 29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 * -165.9\nAnswer: 152.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*a - 23, -z - 2*z = a - 11. Suppose 80 = 5*v - z*v + m, -5*v + 4*m + 122 = 0. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3590*i - 452348. Calculate y(126).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/8)\/1*8. Let q = g + -8. Solve 5*r + 31 - 7 = q*h, 3*h - 5*r = 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3128 (base 11) to base 9\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60472 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 - w**2 - 3*w + 192*w**3 + 4*w + 2*w**2 + 3 - 166*w**3 to z + p*w + s*w**4 + t*w**3 + i*w**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 14. Let y(b) be the second derivative of -b**3\/6 + 3*b**2 + b. Let s be y(h). Solve 0*z - 15 = 4*w - z, -2*w + z - 9 = s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4898897*j**4 + 29389398*j**2.\nAnswer: -117573528*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(704)*2 - sqrt(704)) + 5.\nAnswer: 5 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369, -690, -1001, -1296, -1569?\nAnswer: -1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1380 by 3.\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6570057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Suppose 5*w = q*w + 14. Suppose -32*n - 97 = 31. Sort n, w, -5 in decreasing order.\nAnswer: w, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*n + 25*n + 60. Put -4, 8, 1, n in descending order.\nAnswer: 8, n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d**3 - 5*d - 221.\nAnswer: 21*d**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 3*t**2 + t + 4. Let v be b(-3). Let c be 1\/(-4) - (-119)\/v. Calculate the highest common factor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 23 - (1 + -6 - (-9 - (1 - 16))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 - 211084928 - 5*k + 2*k**2 + 211084945 to d*k + p + z*k**2 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l - 59. Let u be j(11). Suppose 0 = 5*y - 25, -5*x + u*y = 4*y. Solve 6 = -2*q, 0*k - 30 = x*k + 5*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + i - 2*i - 3*i + i + 3*i + 2*i - 2*i - i + 2*i + 2*i - 2*i + (4 - 5 - 1)*(-2*i + 5*i - 2*i) - i - 2*i + 2*i + 0*i + 0*i - 2*i - 46*i + 24*i - 17*i.\nAnswer: -41*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63.5 and -3.\nAnswer: 190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 34604043?\nAnswer: 34604035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -c61909?\nAnswer: -c6190d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 0, 24*r - 2*g - 40993 = -g. List the prime factors of r.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4756, 64834 in decreasing order.\nAnswer: 64834, 5, -4756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 2:33 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -631, -804, -1003, -1234?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 6111 + 2217 = 16*i + 67*i for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + 6\/(-20). Let r be 4 + -5 + (-1)\/(-5). Let o = r - -46\/45. Which is the third biggest value? (a) 0.5 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 10) to base 4\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 288.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4950 + 17966. List the prime factors of r.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 30 = 7*h - 3*z, 0 = 4*z + 4. Suppose 0*v - 3*v = -h. Suppose r - 5 = v. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130a (base 15) in base 14?\nAnswer: 15d01","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(931) - sqrt(931)*1)**2 + 0 + (sqrt(931)*-2 + 1)**2 + sqrt(931) + (-3 + -2*sqrt(931)*-1 + sqrt(931))**2 + -4)*1.\nAnswer: -147*sqrt(19) + 12110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*i = -204*i + 3936 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 200 = -5*v. Let t = v + 40. Calculate the common denominator of -41\/10 and 32*(5\/(-50) - t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -211022?\nAnswer: 211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -137, -226, -315?\n\"Answer: -89*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27d (base 14) in base 16?\nAnswer: 1f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1196, 1187, 1178, 1169?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 17*j**2 - 21*j - 24. Determine c(-18).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6369, -5, -0.05, 1.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10718427\/6445 - 796\/3867. Let n = -1664 - b. Calculate the common denominator of n and -82\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 61 = l + 294, -3*n - 5*l - 1071 = 0. Let g = 338 + n. What is the closest to 0 in 1, -3\/2, 4, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24093, 48327, 72843, 97779, 123273, 149463, 176487?\n\"Answer: 23*r**3 + 3*r**2 + 24064*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 8*z**2 - 9*z + 7. Let o be u(-9). Let a = o - 7. Is 1 + a + (19 - -4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 23 + 22 - 4*g)*(-4 + 4 - 2) + 2 + 52*g + 0 + 65*g.\nAnswer: 123*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2273761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187)*-1 + (-2*sqrt(189))\/sqrt(7))\/(3*(2*sqrt(108))\/sqrt(12)).\nAnswer: -11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -2*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 8. Let z be p(-5). Is z*(0 - 725\/10) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 2*o + 6*o)*(-728*o**3 + 271*o**3 - 591*o**3) to h*o**4 + m + p*o**2 + d*o + j*o**3 and give h.\nAnswer: -3144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5 + 0 - 3 + 2 + (0 + 3 - 2)*(0 - 2 + 1) + 4 - 3 - 3)*(-2*c**2 + 3*c**2 + 2 - 6*c**2) as i*c + o + x*c**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:52 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, -0.2, 4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 587 - 832. Let u = z - -245.131. Round u to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1264*u. Let y(m) = 2*m - 38. Determine b(y(c)).\nAnswer: -2528*c + 48032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -304 (c) 0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -13*w + 15*w. Let g be 2\/((2\/(-1))\/(-2)). Suppose 4 = g*c + 2*c. Solve -m = -w + c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 6*r. Let b(i) = -4*i**2 - 11*i. Suppose -15*k + 7*k = -48. Let g(t) = k*b(t) + 11*f(t). Let u(y) = -4*y**2. Calculate g(u(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*y**3*z + 32550*k**2*y**3 - 35*k**2*z - 26*k*y**3 + 2*k*z + 2*y**3 - 2*y**2*z + 2*y*z + 31 wrt k.\nAnswer: 4*y**3*z + 65100*y**3 - 70*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2420139395 - -2420139499.1516363. Let h = b + -0.1473363. Let f = h - 104. What is f rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 2548?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.889 - -101.589. Round j to 0 decimal places.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 44 = -56 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/92 - (355\/(-15))\/(69\/9). Sort -5, t, -0.5, -1, 0.2 in descending order.\nAnswer: t, 0.2, -0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50813285587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmchnuycy. Give prob of sequence yy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z - 6 = -2*c, 0 = -3*z + 4*c + 2. Suppose -2*r - 2*f + 17 = 7, -9 = -z*r - f. Solve -5*j + 4*y = 25 - 8, 3*y = r*j + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 5. Let k be w(-6). Let q = k + 1. Suppose -2*t - 4 = 3*a, 2*t - 12 = 3*a - 2*a. Solve 0 = v + v + 3*j + 2, -t*j = q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-918)\/(-1620) + 2 + (-26)\/12.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7462 is divided by 1751.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -2, -0.4, 1.844?\nAnswer: 1.844","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/6512 and 149\/792.\nAnswer: 58608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -170*n**3 - 5*n**2 - 7*n - 30. Does 9 divide o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 11, i: 5, m: 1}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 12?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -4.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 + 63*y**2 + 40*y - 73. Let h be f(21). Let v = 850 - h. What is the highest common factor of 249 and v?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7770000 rounded to the nearest 100000?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*z = 56. Let a = 4 - 0. Suppose a*m - 9 = m. Calculate the least common multiple of z and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = 158*v - 374*v - 2585 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**3 - 95*m**2 + 407*m**2 + 16*m**3 - 30*m**3 - 312*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 25. Solve 5*a + m = 4*b, -3*b + 2*a = 3*a - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 24*a**2 - 3*a + 61. Let s(y) = -2*y**2 - 36*y - 22. Let u be s(-17). Calculate the remainder when 797 is divided by c(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3598700*p**2 + 1315596.\nAnswer: 7197400*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963214 is divided by 5806.\nAnswer: 5224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 6*x - 5*t = 1, -5*x + 4*t + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*y + 2738, 4*y = -f + 2*f - 566. Let l = 833 - f. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 + 0.8. Let w = -0.1 - -0.1. Which is the nearest to -1\/2? (a) u (b) w (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 - 8*s - 14. Let n = -195 + 199. Let t be d(n). Solve 12 = -5*r - 2*j, -t*j + 2 = -3*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + y = 16*i - 4*y + 4*y - 37 + 9, 4*y + 92 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -18136*-4*(-12)\/(-384)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 20 = 4*y, -5*y = 5*p - 185. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354, 1543, 3534, 6333, 9946?\nAnswer: 14379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 - 11. Let y(g) = 2*g**3 - 4. Suppose 2*u + 12 = -10. Give u*y(t) + 4*h(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Suppose -2*y - 5*p + 29 = 0, 3*p - i*p + 5 = 0. Suppose j - w = 3, 9 = y*j + 3*w - 2*w. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -481\/6 + 80. Let o = -2.53 - -2.43. What is the nearest to 0 in u, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6474017833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3884 + 1028. Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w**3 + 2*w + 1. Suppose -2*o = 2*o + 4. What is the units digit of f(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 8*d**2 + 4*d + 5. Let m be u(-8). Let k = m + 51. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48bf (base 16) to base 4.\nAnswer: 10202333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 70*d + 72. Let l(y) = -4*y - 5*y + 5*y. Give l(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -1. Let f be (-17)\/3 - (16\/(-6) + 2). Suppose 2*u = 4*l + 8, 5*u + 2*l - 13 = 5*l. What is the second smallest value in u, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108844560*h**3*y**3 - 2*h**3 - 7468007*h**2*y**2 - y**2 wrt y.\nAnswer: -653067360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -19*w**2 - 221*w + 86. Calculate the smallest common multiple of 1517 and z(-12).\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (68\/(-18)*3)\/1. Let t = y - -12. What is the closest to -1 in t, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 602 + 6a06c?\nAnswer: 6a66e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g + 3*i, 4*i + 20 = 0. What is the units digit of ((-5)\/g)\/((-8)\/96)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -13*c + 45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 6, -3, -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.02, -5, 5, -2 in increasing order.\nAnswer: -5, -2, -1, -0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129708 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 5 (c) 131\/2 (d) 6\/7 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49.8 - 58.96. Let p = k - -9. Let f = 0.1599988 + p. What is f rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (1304 - -4)\/1. Let r be ((-6)\/5)\/((-58)\/k). Let l = 8 - -28. What is the greatest common factor of l and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/2)\/t**11 assuming t is positive.\nAnswer: t**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuftpfxgt. What is prob of picking 1 p, 1 t, and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**10\/z)\/z))**(-49))**37 assuming z is positive.\nAnswer: z**12691","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/4 - 142451*i**4\/2 + 1994225*i**3\/4 + 2848939*i**2 + 3133845*i = 0. Calculate i.\nAnswer: -2, 0, 11, 284895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*q - 2 = 3*q, 0 = -5*q - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from {x: 1, q: 3, s: 2, b: 4, l: 1, i: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/44001 and 61\/81.\nAnswer: 396009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*a + 1427 + 265 = 72 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {h: 1, d: 1, e: 2, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(5) + 0.\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -1\/304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -551 + 547.89. Let z = i - -0.11. Let p be 21\/(-90) + 1\/(-6). Which is the nearest to p? (a) z (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f - 168 = -3*o, -f - 214 = -5*o. Calculate the remainder when 6308 is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - y + 4. Let x be i(0). Solve 7*n = x*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -300792999019 plus -109?\nAnswer: -300792999128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 464603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i. Let w be -7 + 10 - (i - 0). Which is the closest to 0? (a) 2 (b) 2\/15 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 41*v - 587. Let p be h(14). Is p >= -152\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 3*u + 2*u - 16*u**3 - 77*u**3 to q*u**2 + i + p*u + b*u**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeydyczeeddzyczd. Give prob of picking 1 z and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76133 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1611797 centimeters in micrometers?\nAnswer: 1611.797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((120\/(-9))\/20)\/(((-48)\/(-9))\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-4)\/2)*1. Let h = -61 - -61. Let q be (h - 2)*(-10 + 6 - -3). Solve r + s = -q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**4 - 30*w**3 - 28*w**2 + 58*w - 2. Let h(k) = 21*k**4 - 62*k**3 - 51*k**2 + 117*k - 5. Let v(l) = -5*c(l) + 2*h(l). Factor v(i).\nAnswer: -2*i*(i - 4)*(i - 1)*(4*i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i + 14. Let v be x(5). Suppose -v = -7*n + 35. Suppose -1 = t - n*s + 3*s, -t = -2*s - 1. Let y(k) = -k**2 + k + 1. Give y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -6\/35, 4, -1\/5, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.595 - 555295?\nAnswer: -555469.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7817456.85 to the nearest one hundred thousand.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (97997 + -1)*(-17 + 1173\/68) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y = -15*y - 6*y - 73*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.385 - 0.35. Let y = b - 0.03622. Round y to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 4*s - 3*s + (5*s - 3*s - s)*(2 - 2 + 2) + 3*s - 2*s - 2*s + 2*s + 4*s - 4*s + s + 0*s + 0*s - 2*s + 4*s - 3*s + (4*s + 0*s - 2*s)*(3 - 2 - 2).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*m + 486 + 172 = 132 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -21*h + 20*h. Let m(t) be the second derivative of 0*t**4 - 1\/2*t**h + 1\/20*t**5 - t + 0*t**3 + 0. What is the first derivative of m(z) wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**3 + 7*w**2 + 3*w + 5. Let f(t) = t**3 + t**2 + t + 1. Give -a(n) + 5*f(n).\nAnswer: -7*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 d, and 1 f when four letters picked without replacement from {t: 1, d: 1, f: 4, z: 3, o: 7}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**5\/60 - d**4\/9 + 2*d**3\/9 - 26*d. Find m, given that a(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91297\/21 - -4347. What is the nearest to -0.5 in 5, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 + 5*s - 2. Let k(f) = -5*f**2 + 5*f - 2. Calculate 5*k(i) - 6*p(i).\nAnswer: -i**2 - 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - b**4 - 4*b**4 - 2*b**3 + 2*b**3 + b**4 + (b**2 - 4*b**2 + 4*b**2)*(3*b**2 - 4 + 4) + 3*b**4 - 5*b**4 + b**4)*(2*b + 3*b - 4*b).\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 34. Which is smaller: w or 29?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = -4*x, -x - 20 = -6*f + f. Suppose -3*m - 2801 = -5*u - 0*m, -4*u + f*m + 2242 = 0. List the prime factors of u.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 - (-3 + 6)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.9 - 0.9. Let y = s + -39. Let n = -14.999978 - y. Round n to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnfmfnnwnnmmnmmnm. Give prob of picking 1 m, 2 w, and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2921901 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*l + 2*i - 30 = 0, 2*i = 3*l - 5. Sort -2, -3, l in increasing order.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - 1 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 12:52 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/5)*g**(2\/19))\/(g**1)**(-1\/19))**43)**46 assuming g is positive.\nAnswer: g**(-7912\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.015, 1\/4, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) -3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482576 is divided by 160521.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, -19, 29, -5, 2, 9 in decreasing order.\nAnswer: 29, 9, 2, -3, -5, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133450 and 7650.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -46, -68, -90?\n\"Answer: -22*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -574122*u - 242036 wrt u.\nAnswer: -574122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + 0.93. Let x = -0.5 + k. What is the third biggest value in x, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 8 = 0. Which is the closest to 1\/4? (a) -3 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -5*n + 5*f, 9 = 1472*f - 1469*f. What is the remainder when (222 - -1)*(-1)\/(-1) is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyp when four letters picked without replacement from {y: 2, z: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -5*p**4\/4 + 50*p**3 + 330*p**2 + 680*p + 51. Factor x(k).\nAnswer: -5*(k - 34)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -180, 4317, 0 in decreasing order.\nAnswer: 4317, 3, 0, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9064.633 meters to millimeters.\nAnswer: 9064633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8549732 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - -1) + 22 + -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384866 is divided by 64143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 3, s: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbrm when four letters picked without replacement from brzzmzrrbmzrbzb?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 3, r: 3, g: 1, a: 2, t: 1}. Give prob of picking 2 a and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*m = 5, 0 = 9*x - 5*x - 3*m - 4. Let d be x\/((1 - 0)*-1). Which is smaller: -1\/10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 4*w**2 - 4*w + 5. Calculate the remainder when b(-6) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -32*x**7\/105 + 4*x**6\/5 - 3*x**5\/5 + x**4\/6 - 8*x**2. Suppose i(a) = 0. What is a?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 16*c**3\/3 + 2*c + 17. Differentiate i(v) wrt v.\nAnswer: 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.093 + 480.093. Let f = v - 479.8. Sort f, -2\/9, -4\/9 in ascending order.\nAnswer: -4\/9, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*c - 668, 3*d - 3*c - 498 = -0*c. Suppose 6*o = -0*o - d. Find the common denominator of (-1 - 161\/o)*(-6)\/4 and 24\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 233?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19305 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24994 and -2.6.\nAnswer: 24991.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3583067 is divided by 1791366?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 589*v**2. Let g(d) = -10*d - 42. Let a(n) = 7*n + 30. Let f(t) = -7*a(t) - 5*g(t). Calculate f(k(m)).\nAnswer: 589*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595251953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11 = -3. Which is smaller: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2. Let b(k) = 36732302*k. Give b(i(a)).\nAnswer: -73464604*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1539) + -1)**2.\nAnswer: -18*sqrt(19) + 1544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*v - 1759*v + 5070 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 207 = 1305. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399994 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/3)\/g)*g**3)\/(g**(5\/7)\/g*g\/(g\/(g*((g*g**(8\/7))\/g)\/g*g))*g) assuming g is positive.\nAnswer: g**(31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39589353*k**4 - 4*k**2 + 246*k - 788?\nAnswer: -950144472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-130)\/(-600)*(-3)\/(-2) and -3 - 1 - 585\/(-600)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30738 + -30737.95. Let v = 2.9 + -3. Which is the third biggest value? (a) -4 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1955028 and -34\/5789.\nAnswer: 13685196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 3*s - 6, 3*s + s - 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 64*l**2 - 26. Let h(u) = 46*u**2 + 3. What is o(h(g))?\nAnswer: 135424*g**4 + 17664*g**2 + 550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 2*o**2 - 3*o**2)*(1161*o + 1462*o - 860*o).\nAnswer: -1763*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3209608602 to the power of 1\/2, to the nearest integer?\nAnswer: 56653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by 3.\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 116610*w**2 + 66. Let v(l) = 5*l. Determine v(r(n)).\nAnswer: 583050*n**2 + 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b + a + 7 = 0, -5*a + 5 = 5*b. Let y(r) = -5*r - 7. Let t be y(b). What is the second derivative of -5*j**3 + 5*j - 15*j - 3*j**t wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214143243 (base 5) in base 13?\nAnswer: 2664a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42548 + 0\/(64\/(-8)) - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 501594831 - 3?\nAnswer: 501594828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 3*s - 2. Let m be j(-2). Let v be (2\/(-3))\/((-2)\/912). Suppose -5*k + 3*p + v = -m*k, k - 68 = 3*p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 245*p - 6185. Determine n(27).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51565733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine quarters of a micrometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8148753 is divided by 1370?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 3}. Give prob of picking 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r - 13. Let s be z(4). What is the nearest to 5 in -0.5, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/7)\/(6\/21). Let p(k) = 2*k - 1. Let r be p(4). Let t = x - r. Which is the closest to 0.1? (a) 0.1 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) -263\/2 (c) 1 (d) -2 (e) 1\/641\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 - 2260780*d**4 + 2260784*d**3.\nAnswer: -4*d**3*(d - 1)*(d + 565196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1029823239 plus -0.3?\nAnswer: -2.4029823239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -648134\/493?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -612. Let z = -5 - -5. Suppose 4*x + 48 - o = z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 32 + 18*a)*(1 - 1 + 3*a**3).\nAnswer: 54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*k**3*y**3 - 4*k**3*y**2 + 444*k*y**3 + 165*k*y**2 + k*y + 1 wrt y.\nAnswer: 288*k**3 + 2664*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/7 + 48324*y + 338264\/7.\nAnswer: 4*(y + 1)*(y + 84566)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m + 127. Calculate the remainder when b(24) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/30*0 - (-1 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14*(-265)\/(-1431)*-189?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*w - w - 69, -3 = -d. Let a(y) = -y**3 + 23*y**2 - 31*y + 30. List the prime factors of a(w).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 26*g**2 + 2*g - 117. Calculate s(-25).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -4*t - 49. Suppose 22*h - 195 = t*h. Let i(a) = -3*a + 41. Let l be i(h). Solve 3*b - g = 2*g - 18, 0 = -2*b - l*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.36145 rounded to 0 decimal places?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36500354?\nAnswer: 2, 11, 1659107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3121 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436149218 to the nearest integer?\nAnswer: 20884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o, 2*m + 1 = 4*o + 5. Let l = -53 + 53.084. Let f = l - -0.016. What is the closest to -2 in 23, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299709739?\nAnswer: 7, 42815677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - 1. Let i be y(4). Let r = -0.12391 - 1.87609. Which is the smallest value? (a) i (b) 2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314079303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 210*r**2 + 426*r - 214.\nAnswer: -2*(r - 1)**2*(r + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 19 = -4*a, 4*a - 212 = -4*x. Calculate the remainder when 107 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 945*p - 114384. Calculate c(121).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3566845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.14 - -12.24. Put -2\/3, l, -0.1, -0.07 in descending order.\nAnswer: l, -0.07, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p. Let r(o) = -53*o - 53*o + 104*o. Calculate j(r(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 7:07 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24282 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/560*35*(32\/26)\/1?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -776\/1276295?\nAnswer: -776\/1276295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + z - 4. Let b be u(-3). Suppose 2*h - 40 = -0*h. Suppose t - 6*t + h = 0. Is t at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.028 (b) -6 (c) 5 (d) -3 (e) -53 (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 120?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 192\/((-88)\/(-88)*-4)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706705566 to the power of 1\/2, to the nearest integer?\nAnswer: 60883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + t - t + 8*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 268, -3, -0.3, 0.3?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709*g + 590*g + 18262 = 675*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 32.59, 0, 0.027?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 14 = -3*o, 0 = 128*v - 130*v - 5*o - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*o + 53*o + 3843 - 8841 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90*((-36)\/9 - (-1056)\/252). Determine o, given that -116\/7*o - f + 4\/7*o**2 = 0.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 682 - 326. Let q = c - 32. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 - 41. Let t = l - 118. Which is the nearest to 0.1? (a) -0.3 (b) t (c) -8\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.85 + 0.15. Which is the nearest to -1? (a) 1\/2 (b) 3\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -108062.\nAnswer: 1\/108062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1559759 or 0?\nAnswer: -3\/1559759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 19 + 14. Let i be ((-2)\/3)\/(6\/(-27)) - f. Suppose -i*v = -2*v - 2*o - 252, 0 = 4*o + 20. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656421 (base 7) to base 9.\nAnswer: 184816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/8)\/((-9)\/24). Suppose -3*h + 2*d + 76 = f*d, 3*d = 6. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:15 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*h = -2*v + 80*h, 9 = -v - 2*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + -65. Let d = t + 77. Sort d, -0.5, 4, 6.\nAnswer: -0.5, d, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -290*j**2 + 149805*j\/4 - 21285\/4.\nAnswer: -5*(j - 129)*(232*j - 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1444, 1432, 1420, 1408?\n\"Answer: -12*q + 1456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-844)\/(-16) + -6 + 1\/4 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/13 + (-12)\/78*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -16. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6012?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 50 - 138. Let v = x - -266\/3. Let z = -112\/3 + 37. Which is the nearest to z? (a) v (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**2 - 25*g + 144. Calculate t(7).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/2 + 195*w**3\/2 - 2457*w**2 - 17928*w = 0. What is w?\nAnswer: -83, -6, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 22*h - 25. Let k(n) = 5 + 3*n - 5 - 1 + 2. Give k(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30336 + 98436. What is i rounded to the nearest one thousand?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, -5, 8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1662531 is divided by 27686.\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 7*g**2 - 10*g - 19. Let m be f(-6). Find the second derivative of -2*c**m + 35*c**3 + 4*c**5 - 110*c + 0*c**5 - 16*c**3 wrt c.\nAnswer: 40*c**3 + 114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120003 microseconds in nanoseconds?\nAnswer: 120.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -80025 divided by -25?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppbpppbpbpppppbpbp. What is prob of picking 2 p?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475560 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.137189 litres to millilitres.\nAnswer: 5137.189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47\/15 + -14\/5. Let d(s) = s**2 + 13*s - 13. Let l be d(-14). Let r be (-90)\/40 + l\/4. What is the second smallest value in -1, g, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 89 = -2141. Let p = 66 + -51. Let a = p + m. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.4 + -0.6. Let y = 37.4 + -71.7. Let t = y - p. Round t to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b*b**1)\/b))**18)**(-6\/11) assuming b is positive.\nAnswer: b**(216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/12)\/4*5*75\/(-1375)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (516\/(-559))\/((-6)\/(-117))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1 - -1) + 1. Suppose 6*j - a*j = 242. Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 6:46 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*a - 1182*a = 171*a + 609*a + 153351 for a.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-18) - (-2)\/4. Suppose 2*q + g*u - 98 = 0, -281 = -5*q + 5*u - u. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -254*m**3 + 287*m**2. Let w(s) = s**3 + s**2. Let b(a) = q(a) + 3*w(a). Find the third derivative of b(t) wrt t.\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1793 + 31*u + 186*u + 245*u - 1793.\nAnswer: 462*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 51625.27m?\nAnswer: 51.62527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 11.4. Let p = q + 6.48. Let f = 0.08 - p. What is the second biggest value in f, -1\/3, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 23*v - 240. What is the highest common divisor of v and 1615?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1164*j**2 + 4949*j**6 + 4068*j**6 - 7758*j**6 wrt j.\nAnswer: 151080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/3800 and 87\/152.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12\/19 + -29\/76. Which is the closest to -1? (a) 2\/7 (b) v (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 5*y - 21*y - 49 + 58.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -31632?\nAnswer: -31626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d - 134*d - 3104 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 5*d**2 - 14*d + 13. Is q(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*z - 0, -4*i + 24 = 4*z. Suppose -i = -11*k + 19. Suppose k*d = -4*d. Solve d = 3*g + n - 0*n + 7, 5*n + 3 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 438.6861 to zero decimal places.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221 + -157. Let g(d) = d**3 - 7*d**2 + 27*d + 2. Let j be g(6). What is the highest common factor of h and j?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 2. Suppose 9*h - a*h = -508. What is h rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -26*h**5 + 30*h**4 + 438*h**3 + 322*h**2 - 60*h = 0.\nAnswer: -3, -1, 0, 2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(143)*-1)\/(sqrt(1100) + sqrt(1100)*-1 - sqrt(11)))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/3 - 278*o**4\/3 + 10592*o**3\/3 - 21744*o**2 + 47520*o - 34848 = 0. What is o?\nAnswer: 2, 3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155958411.\nAnswer: 3, 7, 83, 89477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -11 - (-2 + 1)) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let l be k(3). Let h(m) be the third derivative of 2\/3*m**l + 0*m - 3*m**2 + 1\/12*m**4 + 0 - 1\/30*m**5. Suppose h(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102684 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - -29. Let v be z*3\/((-27)\/12). Calculate the common denominator of (-2)\/3 + 332\/v and 20\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 - (416\/72 - 9). Suppose 5265 = -22*s + 25*s + n*f, -5*s - 3*f = -8773. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 2707358*o.\nAnswer: -o*(o - 2707358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - n = 2*n - 20, -14 = 3*a - 5*n. Suppose a*g = -2*g + 7552. Let o = 17014\/9 - g. Find the common denominator of o and 3\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 49 - 31 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6608 - -3747. Let b = n - 27139. Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 2*w**2 - 2. Let i(n) = -9*n**3 + 21*n**2 - 21. Suppose 4*a + 3*m + 5 = 0, a - 3*m - 3 = -8*m. Give a*i(j) + 21*x(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 406*g**2 + 10*g**3 + 406*g**2.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 12 - 8. Solve 9*v - 5*v + u = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -0.17. Which is the closest to 2\/3? (a) -2\/5 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00089 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 10:51 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78 and 6358896.\nAnswer: -495993888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - (23 + -131)) + (3 - 105)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 0*x**2 - 10*x + 11*x + 1 to i*x**2 + h*x + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose -z = -2*a + 9. Suppose 0 = -2*t - t + 3*q - a, -3*t + 18 = 3*q. Solve t*j - 1 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 2525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680597 is divided by 120038?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1\/3, 3, 51, 49\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 1\/60*g**5 + 1 + 0*g**3 - 3\/2*g**2 + 0*g - 1\/12*g**4. Let k(t) be the second derivative of q(t). Let k(m) = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -12*k + 25. Let r(g) = 34*g - 76. Let c(x) = -3*r(x) - 10*w(x). Suppose 3*a - 243 = -0*a. Calculate the remainder when a is divided by c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (12\/90 - (-124)\/(-30))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - x = 41*g - 389, 2*g - 5*x - 134 = 0. Let o = -73 + g. Suppose 2\/3*h**2 + o - 10\/3*h = 0. What is h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*5*6) + (sqrt(102) + 5*5*sqrt(102) + sqrt(102) - sqrt(102)))\/(-1*6*-4*sqrt(864)).\nAnswer: -sqrt(17)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 215\/360 - (-12)\/(-32). What is the second biggest value in r, -140, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cprhtrcaphrarh. What is prob of sequence cch?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0358 (b) 0.279 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2787 is divided by 254?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100582 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from huuhyyllylet.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5750308635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/3, -0.6443, -0.1, 1 in decreasing order.\nAnswer: 5, 1, 1\/3, -0.1, -0.6443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 divided by 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -7251\/7 and 0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:21 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 7:36 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95705586 divided by -71?\nAnswer: -1347966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 5, 3*s - 4*t = s - 20 - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740956250 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207 + 351. Suppose -5*v + x = 49. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4586 in -1\/6, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/10)\/((-6)\/(-164)). Is s <= 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -9. Let l(q) = 14. Let m(s) = 5. Let k(r) = a*l(r) + 11*m(r). Let p(c) = 5 - 4*c + 2*c + 0*c. Give 5*k(w) + p(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 170 - 48 + 51631657*m - 51631639*m as c*m + o and give o.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207073.\nAnswer: 207073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -892841, -892857, -892873?\nAnswer: -892889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 238 + 141. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:55 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 6\/7*c**5 + 2*c**4 + 0 + 2\/7*c**2 + 10\/7*c**3 + 0*c = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 8*y + 8. Let r(t) = 3*t**2 - 10*t + 10. Let g(b) = -5*c(b) + 4*r(b). Let n(f) be the third derivative of -5*f**4\/12 + 2*f**2. Give n(g(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.57 in -1\/4, 1\/3, -2\/13, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/5 (c) -2\/5 (d) -20 (e) 0.02 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3394 and 2818.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:08 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -166.\nAnswer: -165.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 4738*l - 186303.\nAnswer: (l - 39)*(l + 4777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**6\/120 + l**5\/60 - l**4\/24 - 11*l**3\/3 - 122*l**2. Determine a(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1088 (b) -56 (c) -0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*c - 1 = -5, 0 = p - 5*c - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 3*m**2 + 21)*(m**3 + 0*m + 0*m) + (0*m**4 + 4*m**4 + 2*m**4)*(m + 4*m + m).\nAnswer: 33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 78, 84, 78, 54, 6, -72, -186?\n\"Answer: -z**3 + 3*z**2 + 10*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -237*i + 670. Determine c(-6).\nAnswer: 2092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 7*o - 4. Let x be h(-8). What is the third derivative of -2*s**3 + 2*s**4 - x*s**4 + s**2 + 2*s**3 wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 638556323 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -s - 10, s - 3*j = -5*j - 6. Let l(h) = 26*h - 61*h + 3*h**s + 8 - 5. What is the units digit of l(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276 (base 12) to base 5\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/159 (b) -1454 (c) -2 (d) -7 (e) 5 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + 2)*-6)**2 + sqrt(68))*1 + -3 + (sqrt(68) + -6*(sqrt(68) - (sqrt(68) + 1)))**2.\nAnswer: 314*sqrt(17) + 2693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 - 8) + (-39 - -34) - 32?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 13 + 1 = 0. What is the tens digit of ((-16)\/(-6))\/(123\/117 + k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/(-570) - 372\/(-3534).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-221)\/(51272\/38976)*2\/4.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 289.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let l(b) = -1996*b**2 + 5*b - 9. Give l(x(i)).\nAnswer: -1996*i**2 + 5*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 18, -60, -244, -570, -1074, -1792, -2760?\n\"Answer: -6*g**3 + g**2 + 31*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*(-8)\/6. Let z = 364 - 361. Which is the second biggest value? (a) z (b) 2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2)\/(p**(-2\/13)\/p))\/(p**(4\/3)\/(p\/(p*p**(1\/10)))) assuming p is positive.\nAnswer: p**(238\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*j + 2*o, 4*j - j - 30 = 3*o. Let z(w) = -3*w + 37. Let s be z(j). Let l be 90\/(-105)*-7*s. Solve i - l = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 9*t**2 + 11*t - 11. Suppose -16 + 56 = -10*h. Let r(n) = -n**3 + 3*n**2 - 4*n + 4. What is h*l(d) - 11*r(d)?\nAnswer: 3*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8420 + -8132. What is the highest common factor of 640 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42745, 42466, 42013, 41392, 40609, 39670, 38581, 37348?\n\"Answer: m**3 - 93*m**2 - 7*m + 42844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1111301121 (base 6) to base 2\nAnswer: 101110001011111011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/3 - 5*z**2 + 6*z + 32\/3 = 0. What is z?\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 34*o = -36*o - 603 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4840*s + 96823. Calculate d(-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + n - 4 - 14*n)*(-10*n + 10*n + 11*n) as x + o*n**2 + v*n and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 9*h + 4 = 5*f, -3*f = -2*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8922?\nAnswer: 2, 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (4 - -1)*1. Let i = -3 + x. Suppose 2*h + 3 - 1 = -5*j, 0 = -j - 4*h + 14. Put j, i, -3 in decreasing order.\nAnswer: i, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*q**2 - 12*q**2 - 13*q**2 + 4*q**2 to x*q + h + u*q**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Let f be x\/1 + (-10)\/12. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, o: 9}. What is prob of sequence opp?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1106*l**3*v - 3*l**3*w**2 - 294*l**2*w**3 - 7*l*v*w**3 wrt v.\nAnswer: 1106*l**3 - 7*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25561 is divided by 84?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 + 438*l + 2140 = 0. Calculate l.\nAnswer: -214, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221212 + 0?\nAnswer: -221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23108?\nAnswer: 2, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/7 - 44238636*k\/7 + 44238638\/7 = 0?\nAnswer: -22119319, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 244, -17*x + 783*o = 1567*o - 782*o + 329 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - t = -2, 2*t = -4*q - 25514 + 25518 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/8*(20\/3)\/1. Solve -8*n - 2*a = -4*n + 14, o*a = -4*n - 23 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20*(2 - 3)*(-5 + -5). Let o be (24\/20)\/((-1)\/m). Calculate the common denominator of (-7)\/(6\/(-2)*o\/9) and 25\/18.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 - (-105)\/6. Suppose -2*w = -w - 4*m, 0 = 4*w + m - g. Suppose 0*s - 1\/3*s**w - 1\/3*s**2 + 0 + 2\/3*s**3 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1331 - -64?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419281748 to the power of 1\/2, to the nearest integer?\nAnswer: 20476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787*y**3 - 7488*y**3 + 6702*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*(-1)\/28*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 411015 and 530?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2. Let d(b) = 7*b**2. What is n(d(o))?\nAnswer: 7*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5123, 5246, 5439, 5702, 6035, 6438?\n\"Answer: 35*f**2 + 18*f + 5070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**8\/2688 - h**7\/840 + h**5\/240 + h**4\/192 + 18*h**2. Factor d(g).\nAnswer: -g*(g - 1)*(g + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 68\/745 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 338*z**2 - 4 - 151*z**2 + 4 - 433*z**2.\nAnswer: -922*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 767 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1237 - -553. Put a, 2\/5, 3 in decreasing order.\nAnswer: 3, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-88)\/(-120) - (-9)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 337, 333, 327?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*p**3 + 118*p**3 - 56*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1728 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*o**4 - o**3 + 29*o**2 - 2082 wrt o.\nAnswer: -288*o**3 - 3*o**2 + 58*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 497 = 137. Solve 67*f = s*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let d = 288 - 171. Suppose 2*a + 56 = x, -h*x + a - 2*a + d = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*v - 5, 151*v = -y + 156*v - 9. Sort 17, -35, y, 2 in decreasing order.\nAnswer: 17, 2, y, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 15*q + 47. What is the lowest common multiple of 27 and b(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 + -77. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*s = 0, 0 = 5*a - 2*s - 12 - 8. Let v = -1 - a. List the prime factors of 5\/(1 + 0\/v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5*u**2. Let l be g(4). Suppose -2*f = f + d + 32, 2*f = -2*d - l. Let v be (104\/f)\/(6\/(-9)). What is the greatest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*i**2 + 348*i**2 + 329*i**2 - 1123*i**2 - 51*i.\nAnswer: -i**2 - 51*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 148 in increasing order.\nAnswer: -3, 3, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 8*g - 15. Let k be d(6). Put 2, -0.3, k in increasing order.\nAnswer: k, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23688 by -423.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-14 + 6\/2). Suppose -6*q - 61 = -t. Let y = q + 89. Calculate the remainder when y is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v + 70 - 3*v + 154 - 109 + 122 as j + l*v and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 2*l**2 + 8*l**2 - 11*l**2. Let x(r) = -12*r. Determine x(v(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8292199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 52 = 4*h, -2*h + 43 = 3*j - 3. Suppose g + j = 5*v, -2*g + v - 8 = -4*g. Let 12\/5 - 2\/5*o - 2\/5*o**g = 0. Calculate o.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12131*k**2 - 370*k + 370*k.\nAnswer: 12131*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4 - 10*n**2 + 3*n + 11*n**2 + 3 - 8*n. Determine m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3863498 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 15810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 19*s**2 - 254*s**3 + 269*s**3 + 19*s**2 as n*s + v*s**3 + w*s**2 + q and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q - 35*q - 3*q)*(-3 + 3 + 4) + (0 + 1 - 3)*(-3*q + 0*q + 5*q) + (3*q - 2*q + q)*(1 + 0 - 3).\nAnswer: -100*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 273 in 5\/4, -0.4, -1\/6, -5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 26*t + 131. Give j(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnvpvpvnvvnnvvv. What is prob of sequence vnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 24*i**2 + 49*i - 15. Let t be q(-29). Calculate the greatest common factor of 213 and t.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-10))\/((-135)\/(-1350)). Solve -y + 19 = 5*g + 3, -a*g = y - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 393*x**4 + 86821*x**3 - 43470152*x**2 wrt x?\nAnswer: 9432*x + 520926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.2 + 0.2. Let i = h - -41.05. Let c = 22.05 - i. Which is smaller: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkxxxkxx. Give prob of sequence xkxx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = 7*n - 24. Let z be (-10)\/8 - n\/12. Let w be (-1 - z) + (-12 - -18). Solve -2*g = -5*c - 18, w*c = -0*g - g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 73 + 83 - 14*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*p + 5*p**4 - 61*p + (4 - 4 - 2)*(0 + 15*p**4 + 2 - 12*p**4) to the form i*p + w*p**4 + a*p**3 + l*p**2 + r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63960.32l in millilitres?\nAnswer: 63960320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*a = 91*a - 45*a - 249410000. Round a to the nearest 100000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/7)*p\/(p**(-2)\/p))\/(p\/(p\/p**(-1\/11))*p\/(p**(-4)\/p))*((p**(-1\/2))**(-17))**44 assuming p is positive.\nAnswer: p**(28684\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7*q + 12\/7*q**3 - 36\/7*q**2 + 0 - 1\/7*q**4.\nAnswer: -q*(q - 8)*(q - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 49 = 59. Solve z = 3*l - 8, 4*l = 2*z + 3*z + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*353.\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*u - 14*u - 18*u)*(88*u - 87*u - 39 - 26) to k + o*u + z*u**2 and give o.\nAnswer: 1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 800*-45875 - (0\/(-2))\/(-1). What is y rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45628*k + 22800*k - 1477 + 22821*k + 1477.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 208067359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2348 by -2.\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.5 - 9.6. Let s = -10\/7 - 1\/14. Sort 0.4, o, s in decreasing order.\nAnswer: 0.4, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 8796 + 8816 = -4*t, 2*h + 15 = -3*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let d(f) = f**2 + 11*f - 4. Let b(y) = -y. Let w(l) = -2*b(l) - 2*d(l). Let z be w(-10). Suppose -z = -4*v + 6*v. What is i(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 4 (c) 0.258 (d) 0.027 (e) -2 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(99) - -1*sqrt(99)) + sqrt(99)) + -5*sqrt(99)*1)\/(sqrt(81)\/(sqrt(63)\/(sqrt(7)*2))).\nAnswer: -11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -16. Let m = b + 11. Suppose 0 = -w - w + 12. Solve 0 = -w*t + m*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - 4*o + 4*o - o**4 + 2*o**4 - 3*o**4 + (-o**2 + 3*o**2 - 3*o**2)*(2*o**2 - 5*o**2 + 2*o**2) + 4*o**4 + 0*o**4 - 2*o**4.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*f**3 + 103*f + 226*f**3 + f**2 - 103*f - 8780 - 442*f**3 as p*f**3 + n*f**2 + z + c*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r)**(-2\/9) assuming r is positive.\nAnswer: r**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + c - 1. Let m(y) = -y**2 - 1. Determine i(z) - m(z).\nAnswer: 3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(3*c + 8*c - c) + (1 + 0 - 3)*(3*c - 2*c - 3*c) to t*c + j and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*q + 144 - 443 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 3. Let l be r(4). Let v be (l\/2)\/((-5)\/(-10)). Suppose t + 21 = -z - 3*t, -2*z - 4*t = 22. Which is the closest to 2\/5? (a) z (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 20 - (-9 + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from yyyvyvvyyvyyyoyvvoy?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l - x, 0 = 3*x - 2 - 13. Let u(m) be the first derivative of -7\/3*m**6 + 0*m - m**4 + 0*m**l + 18\/5*m**5 - 1 + 0*m**3. What is f in u(f) = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13031 and 6908.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(-8) + (-2)\/8. Let a = 6 + n. Let v = -6 + 10. Solve -3*j + 27 = -4*f, f - a*f - v*j = -14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1637532 and 240.\nAnswer: 32750640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 2\/15, 2\/11, 21\/5.\nAnswer: 2\/15, 2\/11, 5\/3, 21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 0, 3, -531 in increasing order.\nAnswer: -531, 0, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 571, 1141, 1711, 2281?\n\"Answer: 570*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000158839 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110636 take away -0.047?\nAnswer: 2110636.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 5b?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-54)*135\/(-180). What is the second smallest value in l, 0.3, -17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13574*g. Let j(a) = a + 232. What is j(t(s))?\nAnswer: 13574*s + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12541 + 10204. List the prime factors of u.\nAnswer: 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -68. Suppose 75 = -3*u - 3*j, u - 2*j = 3*j - g. What is u rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -52, 17, 1073 in decreasing order.\nAnswer: 1073, 17, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/3, -155, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 - 27. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 12:34 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3 - t**2 + 1\/3*t**4 + 1\/3*t**3 - 5\/3*t = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 130, 517, 1160, 2059, 3214, 4625?\n\"Answer: 128*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57681563, 115363124, 173044685, 230726246, 288407807, 346089368?\nAnswer: 403770929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 10 + (4 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 f when four letters picked without replacement from {f: 2, e: 7, g: 2, n: 4, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 6*z - 5. Let d be v(-6). Let r = 2 - 2.5. Suppose -2*w - 2 = -4. Which is the second smallest value? (a) d (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (10 - -2) - 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 35*u = 60. Let b(p) be the first derivative of -u*p**3 + 6*p**2 + 0*p + 3\/4*p**4 + 16. Factor b(i).\nAnswer: 3*i*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121.78, 1619, 0.1 in descending order.\nAnswer: 1619, 121.78, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2 - 12)*2\/(-4). Suppose 3*x - 6 = -4*y - 50, 0 = -4*x - k*y - 57. Let s be (2*2)\/(2\/(-4)). Is s >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != -679332\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 + 49*l**3\/2 + 95*l**2\/2 + 47*l\/2.\nAnswer: l*(l + 1)**2*(l + 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j + 63. Let a = -21 - j. Suppose 2*t = -a*t + 80. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22030230123 (base 4) to base 11\nAnswer: -1566656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 2 + 5*r**3 - 10*r**2 + 9*r**2 - r to the form g + c*r**2 + j*r**3 + f*r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*r**4 + 24*r**3 - 88*r**2 + 58*r**2 - 7*r**2 - 2 - 142*r**2 wrt r.\nAnswer: -168*r + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 49 + 43)*(-g**3 + 0*g**3 + 2*g**3).\nAnswer: 70*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15))\/(26\/65).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 58. Let k(j) = -2*j - 694. Let n(d) = -2*k(d) - 18*v(d). Let h(l) = 3*l**2. What is h(n(z))?\nAnswer: 48*z**2 + 8256*z + 355008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 5, -4, -19, 3\/4 in descending order.\nAnswer: 5, 3\/4, 3\/5, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-10)*(-4)\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.15, 5, 2, 0.2, 1\/558?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p**2 + 0*p**2 - 5*p**2)*((5*p - 3*p - 3*p)*(3*p - 3*p + 2*p) + 21 + 9*p**2 - 21).\nAnswer: -98*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 3 (b) -55 (c) -0.109 (d) -4\/5 (e) 0.034 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 67*x**3 - 734*x**2 - 25*x + 37. Let i(l) = 5*l + 2. Calculate the remainder when j(11) is divided by i(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 580 = 2*u + 160, 0 = 4*u - 4*j - 816. Let o = u + -4149\/20. What is the common denominator of -65\/14 and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**3 - 350*z**2 + 51. Let h(i) = 2*i**3 - 117*i**2 + 18. Calculate 17*h(p) - 6*u(p).\nAnswer: -8*p**3 + 111*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 204 = -19. Let x = d - -37. Let a(q) = q**2 + 2*q - 1. Let b be a(-3). Is b <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**2 - 47*a - 325. What is b(-5)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c682 (base 14) in base 15?\nAnswer: a213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 11*r + 2 - 2.\nAnswer: 3*r**2 + 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -14882\/19?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9 - 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**2. Let m(j) = -2*j**2 + j + 54. Give m(t(y)).\nAnswer: -72*y**4 + 6*y**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-20)\/(-16))\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.99999957 - -47. Round p to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 4*q**2 + 1\/3*q**3 - 1\/6*q**4 + 0 + 0*q. What is the first derivative of r(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 9. Suppose -9 = -y*z - 0. What is the third derivative of r**5 + r**2 + z*r**5 - 2*r**5 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i - 10. Let b = i - -6. Let a = -12\/59 + 181\/1180. Which is bigger: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((42\/3)\/2 - 3). Which is greater: p or -8\/21?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i - 70*i - 108855600 = -132*i. What is i rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15480, -30961, -46442, -61923, -77404, -92885?\nAnswer: -108366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -1722 in ascending order.\nAnswer: -1722, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*d + 2*d, 4*x - 5*d = -84. Let a = 31 + x. Factor -5*g**3 + 20*g**3 - 3*g**5 + 2*g**5 + 10*g**2 - 4*g**a.\nAnswer: -5*g**2*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5220572.\nAnswer: 2, 7, 47, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b091 (base 15) in base 6?\nAnswer: 1514514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*9\/(-2). Suppose -z = t*z. Suppose 0 = -z*h - 4*h + 20. Solve 0 = 4*x - h*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9)*x**(-49))\/(x*x*x\/(x**(-4\/29)*x)*x)**5)**(-12\/11) assuming x is positive.\nAnswer: x**(25644\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204678, 204717, 204756, 204795, 204834?\nAnswer: 204873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-25) + -5)*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40523, 40486, 40397, 40232, 39967, 39578?\n\"Answer: -4*b**3 - 2*b**2 - 3*b + 40532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16137*a**4 + 3*a**3 - 82092*a**2 + 1 wrt a?\nAnswer: 387288*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r - r)*(2 + 1 - 2)*(-5 + 3 + 3)*(0 - 298 + 52).\nAnswer: -492*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(2) + (-2*sqrt(18))\/sqrt(9)))\/(3*sqrt(24)*-5).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 0 + 5\/3*o**3 + 0*o - 1\/24*o**4 - 7*o**2. What is the units digit of k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432644.\nAnswer: 2, 108161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-482)\/(-4))\/(-1)*(96 - 98).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 386 and 160769?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -52 - 34. Let q be 1\/(-2)*18\/(-3). Suppose -t = -2*u - 0*z - q*z, -z = -2*u + 31. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.3 + -1.3. Let z = i - 17. Let w = -1.9 - 0.1. Which is the third biggest value? (a) z (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkkuankknkukkf. Give prob of sequence kk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -2 - sqrt(136)\/sqrt(72))**2.\nAnswer: -92*sqrt(17)\/3 + 9029\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12*x = -32. What is the second derivative of -76*o - 12 + 12 - 33*o + 73*o**x wrt o?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/6*(-225)\/(-60). Solve -s = 4*j + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291 + -315 + (49 - -3)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -7*v - 6015. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-306)\/8)\/((-3)\/(-12)). Let w be 3\/(-7) - i\/63. Suppose 2*b + w*b = 2*m - 22, 3*m = -4*b - 7. Solve 0*g + 3 = m*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 417, 418, 419?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 3. Let l = -8 - -12. What are the prime factors of x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -2*z**3\/3 - 2. Let a(s) = -12*s**2. Determine r(a(t)).\nAnswer: -288*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = q + 9, 3*l + l + 4*q - 36 = 0. Let x be 13\/26 + 6\/4. Sort x, -2, l in ascending order.\nAnswer: -2, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18607*i + 164 + 5602*i - 5935*i - 164.\nAnswer: -18940*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 238 = -25*c + 22*c, 0 = -2*c - 3*s + 165. What is the remainder when c is divided by 49?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080 = 7*w - 55*s, -4*w + 11 + 0 - 10 = s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 11*t**2 + 15*t - 61. Calculate s(11).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.009, -6, -2, 0.1 in decreasing order.\nAnswer: 0.1, -0.009, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 308 = -4*k. Let x be 43\/5 - (-9)\/(-15). Suppose -3*u = -x*u + 70. Calculate the highest common factor of u and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 17 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24*15\/(-540))\/((-4)\/(-2)). Sort j, -213, 0.5, 5.\nAnswer: -213, j, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1279\/8 - -325\/2. Let j = -2016\/5 - -4467\/10. Find the common denominator of j and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/(9*(-91)\/(-84))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziz when three letters picked without replacement from zzzzzzzzzzzziiizzizz.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m. Suppose q = 3*g - 0*g + 8, -4*q = g - 6. Let a(p) = -4*p**2 + 8*p**q - 5*p**2 + 2*p**2. Calculate l(a(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -1, 4255 = 5*q + 5*y. Suppose -449 = -3*a + q. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4578.4 + -4658. Does 1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = b - 5, 0*i + 3 = -3*i. Is b greater than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 405105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1130 (base 4) to base 2\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlld when four letters picked without replacement from llldlllllllllllldlll.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i - 19*i + 2 = 2*s, -2*i - 10 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -12.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from xgfbsks?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2134882 and 83\/4?\nAnswer: 4269764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2580 - -2607. Sort z, 0, -3 in descending order.\nAnswer: z, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.96. Let b = -0.0398 - h. Let y = b + 0. Round y to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17423166 + -60166. What is l rounded to the nearest one hundred thousand?\nAnswer: 17400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -746662 divided by -139?\nAnswer: 746662\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09015 equal to -437\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4\/7 (b) 5 (c) 3\/5 (d) 15 (e) -1\/286 (f) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2299) + (sqrt(2299) - (-1 + sqrt(2299) + -2 + sqrt(2299) + sqrt(2299))))**2 + 3 - (-6*(1*sqrt(684) - sqrt(684))**2 + -2 + 4).\nAnswer: -44*sqrt(19) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 54723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 9*g**2 - 3*g - 18. Does 16 divide d(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*w = 344, 4*j + 2*w + 0*w - 688 = 0. Suppose -4*m - 4*l = 4, m + 2*m - 5*l - 21 = 0. Find the third derivative of -i**6 + 172 - 4*i**m - j wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/20 + h**4\/2 - h**3\/2 + 3*h**2\/2 - h. What are the prime factors of b(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89963.742 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*27\/168)\/((-102)\/119)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.5 (b) 3\/7 (c) -2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -66.2 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3 - 19 + 2 - 10*k. Let n(y) = 2*y + 4. Let f(b) = b**3 - 6*b**2 - 6*b - 4. Let o be f(7). Let c(x) = o*u(x) + 14*n(x). Differentiate c(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147189870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 114.1. Let c be (-2)\/3 - (-36)\/81. What is the smallest value in -0.5, c, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30889 is divided by 10254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -181 + 174. Let w(v) = -11*v - 42. What is the least common multiple of w(c) and 55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 - s**2 + 2*s**2 + (129*s + 32*s + 7*s)*(-8*s - 7*s + 17*s) + 5*s - 5*s - s**2 to the form i + a*s**2 + t*s and give a.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 70 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 - 2.3. Let m = 6.2 + -1.2. What is the nearest to 1 in m, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 1 + 19. Let r = f + 14. Solve -4*x - 5*z = r - 46, 3*x - 4*z + 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j**5 + 0*j**4 + 0*j - 2\/3*j**3 + 0 - 2*j**2 + 1\/120*j**6. What is the first derivative of w(y) wrt y?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 154*d**2 + 625*d + 1. Let q be o(4). Solve q - 47 = -54*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 4*r**2)*(-1 + 0 + 3) + r**2 - 3 + 3 + 2*r**2 + r**2 - r**2 + (-2*r + 2*r - 2*r)*(-2*r + 0*r + r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -112, -393, -942, -1849, -3204, -5097, -7618?\n\"Answer: -15*k**3 + k**2 - k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 29*z**2 + 1341*z - 9582. Give n(-56).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 716*b - 713*b, 4*b - 230 = -n. Calculate the remainder when 1227 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + 11\/4. Let p be 0 - (22\/6 - 3). Which is the closest to -0.1? (a) p (b) -2\/17 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1041*x + 198. What is the tens digit of k(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 - -8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 691830383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a - 4. Let n be (20\/3)\/(a\/6). What is the units digit of n\/(-6)*(-30)\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.18862s in minutes?\nAnswer: 4.736477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 3*x**3 - 4*x**2 - 5*x**2 - 2*x**3 + 0*x**3 - 4. Let v be a(9). Let n be (1\/2)\/(3\/6). Solve 3*y + 2*k = -5 - n, 5*k - v = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*d + 15 = -8, 4*z = -3*d + 11. Is (-16 + 17342)*z\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538408 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and 17722657.01.\nAnswer: 17722630.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Let m be (-6)\/14*4\/4. What is the second biggest value in y, -2\/17, m?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7437, 29458, 66165, 117558, 183637, 264402?\nAnswer: 359853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 14 = -2*n, -4*n = 4*p - 0*p - 20. Let o = 7 - p. What is the second derivative of 3*w**o + 0*w - 5*w + 2*w wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594, 722, 1004, 1440, 2030?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1259545 + -3029\nAnswer: -3029.1259545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*a + 6, 0 = 3*a + 15. Let o = k + -5. Does 6 divide (-49)\/(-3) - o\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a millisecond in microseconds?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11))**(-28)*a**(2\/7)\/a**(-8))**(2\/65) assuming a is positive.\nAnswer: a**(492\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*b**2 + 99*b**2 - 3*b**2 + 2*b**2.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 17. Suppose g*w - 45 = -a - 2*a, 0 = -3*w + 5*a - 7. What is the smallest common multiple of (-4)\/(-24) - 179\/(-6) and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + (-885)\/10)*(-2)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1364 + 1370. Let s(g) = 11*g**3 - 3*g**2 + 2. Let a be s(2). Suppose -i*u = -9*u + a. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1.4. Let p = -0.5 - -0.1. Let g = p - u. Which is smaller: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and -102.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59868139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*3*(-297)\/(-54)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*m**3 + 84*m**3 + 36*m**3)*((4 - 4 + 6*m)*(-m - m + m) + m**2 - m**2 + m**2).\nAnswer: -365*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31558 to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 12*x + 15. Let f be c(9). Let z = 749 + f. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -15. Let n(a) = 79*a - 669. Let y be n(10). Calculate the highest common divisor of d and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5206 is divided by 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 5*a + 2. What is the lowest common multiple of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i = -45. Let w be (8\/(-6))\/((-6)\/63). Let q = w + i. Solve -2*c = -q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -872, -1753, -2634, -3515, -4396?\n\"Answer: -881*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*z + 11088 = 1417 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502802 (base 10) to base 16.\nAnswer: 7ac12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.086, 1\/3, 2\/137, 3\/14, 3 in decreasing order.\nAnswer: 3, 1\/3, 3\/14, 2\/137, -0.086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-48)\/(-105))\/8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 28 + 12 = 2*s, s - 16 = -v. Suppose 3*l + 51 = 3*y, 3*y + 3*l + 10 = 79. Let w = s + y. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 228.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from yyeyeeeeyceytn?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (5 - 2) - 3) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/(-27)*(-1 + 170\/8). Suppose a - 5*u = 1, -3*a - 3*u = -q + 15. Suppose 0 = 5*c - 56 + a. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3.583, 20\/39 in increasing order.\nAnswer: -5, -3.583, 20\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 - 32 + 107 - 3*g - 72 - 14*g**3 + g**2 - g**4 to d*g**2 + o*g**3 + v*g**4 + r*g + n and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15417 is divided by 186.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.57 - 0.13. Let o = g + -1.3. Does -2 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3 + 8*r**2 + 20*r + 16 = 0. Calculate r.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, x: 4, q: 2, e: 4, m: 1, p: 1}. What is prob of sequence le?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -453\/7 + 61. Which is the nearest to 1\/2? (a) -4 (b) 2 (c) u (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w**(-5)*w\/(w*w\/(w*w**9*w))*w**4\/w*w)**(-12\/13) assuming w is positive.\nAnswer: w**(-168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402963030 by -10.\nAnswer: 40296303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 5*x + 1\/150*x**5 + 0*x**2 - 8 + 0*x**3 + 2\/225*x**6 + 0*x**4 + 1\/315*x**7. Find z, given that s(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22b1 (base 12) to base 7\nAnswer: 14206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 116856 divided by -1\nAnswer: -116856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 2*w + 1. Calculate the remainder when u(4) is divided by 34\/(-119) + (-79)\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.3, 353, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -20 (c) 0.4 (d) 4 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 1. Let m(d) = d**3 + 14*d**2 - 12*d + 37. Let x be m(k). Let l be (-106)\/(-9) - x\/36. Calculate the highest common divisor of l and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 4 + 2 + (5 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, a: 3, o: 3, p: 1, n: 1, h: 2}. Give prob of picking 2 o, 1 w, and 1 n.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 - x**3\/3 - 9*x**2 + 11*x - 19. Is w(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91625.65 to the nearest one hundred.\nAnswer: -91600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - 1011112320?\nAnswer: -1011112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1741239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/180 and -29\/103662.\nAnswer: 1036620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 0.03, -1.\nAnswer: -37, -1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10984619 to the power of 1\/2, to the nearest integer?\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-218*a**3 + 173*a**3 - 355*a**3)*(-2*a**2 - a**2 - a**2).\nAnswer: 1600*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqkkqqkkkk. What is prob of sequence kkk?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014468508 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (7 - (-2032)\/256).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = 3*d - 8*f - 19, -4*f = -16. Let h be (-8)\/10 - (0 - 1). Which is the second biggest value? (a) 0 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*j + 51*j - 40. What is o in 2\/3*o**j + 2\/3 + 4\/3*o = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**5 + 116*y**3 + 207*y**2 + 2*y - 23588 wrt y.\nAnswer: -40*y**3 + 696*y + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 191087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 401632\/6160 + 105\/(-25)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.09 (b) -2\/43 (c) 0 (d) 1\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 5*i + 1687. What are the prime factors of i?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 213, 326, 445, 570, 701, 838?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 56\/3 + 6*h**4 + 22\/3*h**3 - 16*h - 50\/3*h**2 + 2\/3*h**5 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 32.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 55*j + 944. Calculate k(-22).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, t: 2, h: 1, w: 1, g: 1}. What is prob of sequence st?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drd when three letters picked without replacement from rrdrrrrdrrrd.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001010 + -10100010?\nAnswer: -100000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245173, -490289, -735405, -980521, -1225637, -1470753?\nAnswer: -1715869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/((-7)\/(-6)) + 0. Let g(o) = o**2 - 6*o + 2. Let u be g(y). Suppose -4*a = 20, a + 72 = 3*f - u*a. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -643, -652, -661, -670, -679?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(195\/100)*(-12)\/5. Suppose -o + 9 = d. Put 2, o, -4, 1 in ascending order.\nAnswer: o, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 4. Let z be k(-4). Let j(p) = -p**2 - 6*p - 4. Let g be j(-3). Solve g*i - i - 16 = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + q - 1. Suppose 18 + 42 = 5*p. Suppose 5*f = 9*f + p. Give j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -21*l**2 + 15. Let p(a) = 3*a**2 - 2. Give -2*b(u) - 15*p(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23141565 by 7713855.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3550697 is divided by 6527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 34, 13, 6\/11 in descending order.\nAnswer: 34, 13, 6\/11, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -859*w**3 - 7*w**2 - 13*w - 15. Calculate u(-1).\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1171.8719 times -0.11\nAnswer: -128.905909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 1092.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y. Let c(z) = 1450*z + 9. Calculate a(c(u)).\nAnswer: 2900*u + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from shuusuhhhuuuuhuuh?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-53 - -38)\/120).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -690 greater than -1553863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 11) in base 2?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 1 - 3 + 4.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 - f**2 - 18 + 5*f**2 + 2*f + 2*f**2 + 0 + 0 + (-2*f**2 + 7*f**2 - 3*f**2)*(0 + 0 + 1) to q*f + i + l*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 701 - 339. Is r a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - 3*v**4 + 4*v**4 + (-4 + 4 + v**2)*(3*v**2 - 2*v**2 - 3*v**2) + 4783*v**4 - 3325*v**4 + 5043*v**4.\nAnswer: 6498*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - l**2 - 2*l**2)*(-5 + 11 + 7)*(-1 - 3 + 1) in the form k + z*l**2 + x*l and give z.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbddddbdbdddddd. Give prob of sequence db.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(1\/(-60)). Is q > 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*x + 15 + 3 = 0, 0 = 5*p - 3*x - 23. Let c(y) = -y**3 + 2*y**2 + 4*y + 3. Determine c(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32916 is divided by 1134?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q, -2*q = 309*y - 311*y + 92. Suppose 0 = -5*r + 171 + 29. What is the smallest common multiple of y and r?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -825*f**4*j**2 - 13*f**4*j - 114*f*j + 11*j**2 wrt f.\nAnswer: -9900*f**2*j**2 - 156*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 - (4 - (-9 - -13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 + (-32 + -19 - -22 - -5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*s = 42*s + 54 - 1129 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9823 and 17348311?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 78068 divided by 4\nAnswer: 19517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -496.94 + 498.5. What is the third biggest value in i, 5, 0.4, -5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6169263 centuries to millennia.\nAnswer: 0.06169263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 8. Give b(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188 - -184) + -2 + -4 + 4 + -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 43 + 43 - k + 3*k + 0*k + (-1 - 1 + 4)*(-3 + 2*k + 3) + k - k + k)*(6 - 2 - 3)*(0 + 4 - 2).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (218\/(-3815))\/(900\/(-7)) and 83\/60.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86502 - 86527 - 835*z**2 + 831*z**2.\nAnswer: -4*z**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/k**(-1\/2))\/k*k*k))**(-2\/21)\/(k**(1\/4)\/k**0)*((k*k*((k\/(k*k**(2\/7)))\/k)\/k)\/k)**(5\/14)\/((k\/(k\/k**(3\/7)))\/(k*k**(-1\/2))) assuming k is positive.\nAnswer: k**(-235\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + (-8 - -4) + 49?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, o: 3, c: 3, w: 6, v: 1, j: 1}. Give prob of sequence nwnw.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 1935.\nAnswer: 13545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -220? (a) 2 (b) 0.07 (c) -5\/2 (d) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -30*i**5 - 558*i**4 + 4354*i**3\/3 - 3758*i**2\/3 + 1336*i\/3 - 56 = 0.\nAnswer: -21, 1\/3, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*w + 135*w = 124*w - 616*w + 29880 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - (-40)\/7. Let i = -4 + z. Calculate the least common multiple of 3 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -235*m**2 - 66*m + 126. Let n(x) = 47*x**2 + 13*x - 25. Let i(l) = 11*n(l) + 2*v(l). Is i(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 11*t + 21. Let s be m(10). Calculate the greatest common divisor of 99 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -745561 + 475?\nAnswer: -745064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8330 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssxs when four letters picked without replacement from {x: 3, s: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let g be (-1)\/4 - 2\/(-8). Let v be 2\/(-4)*g*(-9)\/(-9). Solve -z - 7 + 4 = v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -3 + 4)\/(-1). Solve 3*z + 6 = k, -x + z + 2*z + 1 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 8:26 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, 1, 40, 115, 238, 421, 676, 1015?\n\"Answer: 2*k**3 + k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 - 0. Let d = -5.91 - l. What is the biggest value in 0.1, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imymymimmiimnimbni. What is prob of picking 1 y, 1 i, and 2 m?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1231 and 23.\nAnswer: 28313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203805607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2 - (2 + -1 - 7)) + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108257996 is divided by 84.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 + l. Let z(p) = -2*p**3 - 18*p**2 + 11*p - 7. Let g(x) = x**3 + 9*x**2 - 6*x + 4. Let q(r) = 7*g(r) + 4*z(r). Determine 4*q(u) - 9*v(u).\nAnswer: -4*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 852, 1281, 1710?\nAnswer: 2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:48 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107776*u - 119*u**2 - 108750*u + 883*u**2 wrt u.\nAnswer: 1528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 13221.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 86.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -32*x**3 - 3*x**2 + 7. What is the units digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 555.000001352 - 555. What is n rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 27. Solve -4 = g - q*s, 6*g = g - 5*s - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1a36?\nAnswer: 1a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 154419431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/9 - (-145)\/174. Are t and -3788 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7.8. Let m = v - 1. Let j = 6.5 + -6.1. What is the closest to m in -0.1, j, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - 26 - (-52 + 44 + (8 - 0)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 5*y + 6. Suppose -f + y*f = 62. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**3*y + 2*o**3 + 80*o**2*y - 4*o*y + 18*y + 184143 wrt y?\nAnswer: 3*o**3 + 80*o**2 - 4*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 2:30 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-166)\/16*(-24)\/(-6). Let g = y + -17. Calculate the remainder when g is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Suppose s - 2*k + 2 = -8, -4*s + k - 5 = 0. Let j(r) be the third derivative of r**2 + 0 + 0*r + 1\/8*r**4 + s*r**3. Determine f(j(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let m be (-33)\/(-5) + t\/5. Let o be (-4)\/16 + m\/12. Is -1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/58 and -67\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.8654376 to 3 dps.\nAnswer: 82.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 757215.48 to the nearest 100.\nAnswer: 757200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57827799.\nAnswer: 3, 127, 50593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -29?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 1. Determine u(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33179874 divided by -23582?\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*(-16)\/(-36). Let i = -43 + 54. What is the third biggest value in i, l, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*g + 3*p, 9 = 3*g - 2*p - 4. Suppose -5*i = -g*i - 18. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -291 - -206. Let c = v - -120. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (18 - (-45)\/(-9))\/(-4 + -97) and 2\/5.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 7 = -31. Solve 2*o + x*h + 6 = -o, -3*h = 3*o + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 15.8. Which is the second smallest value? (a) 0.1 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546373933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2430 is divided by 808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = s - 3*s, 0 = -5*g + 5*s + 60. Suppose 4*t = g*t - 12. Is (t + 7)\/((-4)\/(-22)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2. Let d(l) = -2*l**2 + 2. Suppose 2*x + 1 = -1. Let i(t) = x*d(t) - 5*z(t). Differentiate i(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001582893372 to 6 dps.\nAnswer: 0.001583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7260 by 1.\nAnswer: -7260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20902 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -61295*g**2 - 2*g. Let c(v) = -v + 356. Give c(j(u)).\nAnswer: 61295*u**2 + 2*u + 356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839*b**5 + 49481*b**4 - 753081*b**3 + 687619*b**2 + 16820*b = 0 for b.\nAnswer: -20\/839, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 15 - 63515*p + 0*p**2 + 63494*p. What is n(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -24066?\nAnswer: -24060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3))\/v)\/(v\/(v**(1\/8)\/v)) assuming v is positive.\nAnswer: v**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -59*d**2 - d - 16. Let z be v(-8). Let x = 6897 + z. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8) + -6 + (-7 - (-5 + 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2568 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -1, 12, 25?\n\"Answer: 13*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 2*b - 13. Calculate the remainder when o(7) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**(1\/3)*n*n))**(-8)*(n*n**(2\/19)*n)\/((n**(-1)\/n)\/n*n))\/(((n*n**(-1\/10))\/n)\/n**(-6)*n\/(n**(3\/5)\/n)*n*n*n**4\/n) assuming n is positive.\nAnswer: n**(10529\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92723715 and 2115.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -455 + 35?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300*i**3 - 144565*i**2*o**2 + 507*i*o**2 + 628255 wrt i.\nAnswer: 1800*i - 289130*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129617.6ml to litres.\nAnswer: 129.6176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 29*b**3\/4 - 7389*b**2\/8 - 255*b\/2 + 8377. Factor t(m).\nAnswer: 3*(m - 85)*(29*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 3*q - 5. Let o = 1 - 8. Let n(c) = 3*c**2 + 6*c + 9. Let j(y) = o*g(y) - 4*n(y). What are the prime factors of j(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*k**2 + 2*k + 34*k**2 - 2*k - 3922*k**3 + 3921*k**3.\nAnswer: -k**3 - 35*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1679675467 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*d**5 + 0 - 1\/5*d**4 + 0*d + 1\/5*d**2 + 1\/5*d**3 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 10:15 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - 123. Let r = s + 105. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70427\/5 + -14085. Which is the nearest to r? (a) 0.7 (b) 0.05 (c) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**4\/8 - 476*b**2. Let f(t) = -123*t**2 + 2. Calculate l(f(n)).\nAnswer: -369*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in -2\/5397, 0.3, 1, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s + 18. Let m = s + 48. Calculate the remainder when m is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 44 + 3111*g - 6 - 3116*g. What is l(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10636.\nAnswer: 2, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 484323617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3671 - -73499\/20. What is the common denominator of 167\/168 and p?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505546988.\nAnswer: 2, 137, 922531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 108\/8*(-2)\/(-3) + -5. Let i be 17*b\/16 + (-12)\/(-16). Solve -m + i*m + 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72864?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13656 + 2530 - 27)*(1 - 1 - y)*(0*y + 0*y + 2*y) to t*y**2 + u + i*y and give t.\nAnswer: 22306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtl when three letters picked without replacement from pwltlpppwlppyp.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 650 + -2?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185878?\nAnswer: 2, 592939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*m - 2. Let z be 1 + m + (-3 - -2). Suppose 4*d - 4*w = 24, 3*d + z*w = 2*d - 3. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -81. Calculate the lowest common multiple of 4\/(-10) + 25098\/445 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5003 - 2*x - 4944 + 19980 - 4940 - 5007.\nAnswer: -2*x + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-12 - -13 - 10\/12). Suppose 3888 = k*d - 780. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 2. Let x(k) be the second derivative of k**5\/60 + 25*k**2\/2 + 37*k. Let z(i) be the first derivative of x(i). Determine z(y(p)).\nAnswer: 16*p**2 - 16*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 202, 388, 616, 886?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 12*o - 41. Let n(i) = 2*i**3 - 11*i**2 + 10. Let c be n(5). Let g be a(c). What is the greatest common factor of g and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33567, -134259, -302073, -537009?\n\"Answer: -33561*v**2 - 9*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-10)*(-4)\/(-21)*(-69)\/92\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*x + 2*y - 53, 5*x - 2*y - 115 = 0. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -390847 + 390847 + 836*c**2 + (4 - 4 + c)*(0 + 0 - 2*c) + c - c**2 - c as u + w*c**2 + a*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4 + 5\/(-10). Let m be 46\/4*(f - 0). Suppose 3*j - 4*o = m, 16 + 7 = 5*j + o. Solve d - 2*u - j = 0, -d - 2*d + 3*u + 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**9*g)\/g))\/g**(1\/14) assuming g is positive.\nAnswer: g**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 0*u**3 - 3*u**3 + 5*u**3 + 4*u - 6*u - 4 + 16*u**2 to the form q*u**2 + w*u + z + j*u**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 24184193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0 + 0 + 5 + a**3 - a + 5*a**2. Let k = -13 + 8. Let s be y(k). Solve -10 - s = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110212 (base 3) to base 9.\nAnswer: -11425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 <= 591116150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12218134 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24131 (base 7) in base 8?\nAnswer: 14145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + x + 0)*(80 + 506 + 513)*(-4*x + 5*x + 0*x).\nAnswer: 1099*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 14516144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 40 + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17346192 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44500103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-70)\/(-28) - 8)*((-320)\/385 - (-22)\/77). Determine q, given that 9\/4*q - 2*q**4 + 0 + 2*q**2 + 1\/4*q**5 - 5\/2*q**i = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 484122877 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 198180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 - 7*n**2 - 5. Let p(j) = -j + 9. Let c be p(6). Let k(w) = 7*w**2 + 2 + 6 - 4*w**2 + 6*w**c + 8*w**2. What is -5*k(y) - 8*z(y)?\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -3 - 2*b**2 + 0*b**3 + 0*b + 0*b**4 + 7\/5*b**5. Find the second derivative of l(s) wrt s.\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence madd when four letters picked without replacement from maulldudddaa.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -0.2, -0.13, 5, 0.5, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:54 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -4, 1\/4, 0.5, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -4*z + 6*z + 22, 2 = -2*v + 5*z for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.7 + 16.7. Let r = 3 - -2. Let k = r + -10. What is the third biggest value in 0.1, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjrr when four letters picked without replacement from {j: 6, r: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r = 106*r + 900 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1546 + 1565. Put 5, -3, s, -9 in descending order.\nAnswer: s, 5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8595?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 163956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + (-63)\/(-14). Sort a, -1, -4.\nAnswer: -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 72*r**2. What is the remainder when n(1) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + l = -7, -4*l - 11 = 4*c + 13. Is 62 a factor of (-55 + 19)\/(c\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1522146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189 - 187. Suppose -4*x - h = -2704, -13*x + 11*x + 1346 = p*h. List the prime factors of x.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {k: 1, e: 2, h: 1, o: 1, y: 1, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 103*o + 18. Let z be w(2). Let q = -219 + z. Suppose 5*i - 8 = 2. Solve -q*h + i*n = -5, 4*h + 0*n + 5*n + 29 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccscseeccccecycc. Give prob of sequence sy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 339943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53, -52, -57, -68, -85, -108, -137?\n\"Answer: -3*d**2 + 10*d - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 599 = 14*l - 9*l, 2*h = -l + 115. What is the second derivative of 96*m + 111*m**3 - 258*m**3 + l*m**3 wrt m?\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 61*s. Let d(k) = -748*k + 49. Calculate d(b(r)).\nAnswer: -45628*r + 49","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 22*j**2 - 5. Let p(d) be the third derivative of 7*d**5\/20 - 2*d**3\/3 - 4078*d**2. Determine -5*p(o) + 4*x(o).\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6934777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 49*v + 505. What is the remainder when 566 is divided by i(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2425 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (sqrt(200) - (sqrt(200) + sqrt(200)*1)**2) + -5 + sqrt(200)*-2*-4)*2 + 4)*2.\nAnswer: -9664 + 1080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(9\/18)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26543.2235 - -8.\nAnswer: -26535.2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgbchgbcgbcocc. Give prob of sequence cghm.\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 + (0\/(-4))\/3. Let p(m) = m**3 - 11*m**2 - 7*m + 1. Let k be p(d). Suppose 1 - k = -5*z. Calculate the remainder when 33 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9804061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 490133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1684)\/(-155) - (-64)\/(-992)) + (-8)\/(-40)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 56438*u - 620679. Determine m(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*k, 3*d - d - 3*k = 142. Let j = -64 + d. Suppose -2*h - 80 = -4*h + j*b, 4*b - 100 = -4*h. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3 + 1 - k + 8 - 4. Suppose -3*z + 16 = -2*z + j, -3*z = -3*j - 24. Determine o(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + 6*-6*(4 + 2*(sqrt(363) + 0)*6)**2).\nAnswer: 38016*sqrt(3) + 1882371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t + 504. Does 14 divide c(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 223*k**2 + 3265*k - 4573. What is u(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7533*b**2*x + 9*x - 650 wrt b?\nAnswer: 15066*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -507, -521, -559, -633, -755, -937, -1191, -1529?\n\"Answer: -2*n**3 - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 0)\/(-3) + 80\/120. Sort h, -28, 24, -2 in decreasing order.\nAnswer: 24, h, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 3*f + 27. Let o be b(7). Solve 0 = -2*v - o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -189\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14543952 divided by 3\nAnswer: -4847984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -454779*x - 2273920. What is s(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18973240*r**3 - 3*r + 3*r + 18973241*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -21*d**4 + 212*d**3\/3 + 850*d. Find the second derivative of i(v) wrt v.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1056 (b) -1\/2 (c) -2\/3 (d) -0.1 (e) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:34 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 459, -9\/67?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9880861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 2, -14 in descending order.\nAnswer: 2, -14, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28690060 - 0.4406\nAnswer: -28690060.4406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -1)\/(-2) - -1. Suppose -j*k + 65 = 3*k. Calculate the remainder when 24 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 0. Suppose 2*y - 5796 + 1201 = -q*r, y = 3*r - 2746. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuavouvacnvunuu. What is prob of picking 1 u and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-90)\/(-5))\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - q. Let d be h(-1). Let w(g) = g - 9. Let x be w(12). Suppose 0*y + x*y = z - 8, -3*y = 4*z + 13. Sort 5, y, d in descending order.\nAnswer: 5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n**2. Suppose 3*h + 16 = c - 3*c, 4 = -2*h - 3*c. Let a(u) = -7*u + 5. Let q(l) = 11*l - 8. Let y(k) = h*a(k) - 5*q(k). Calculate y(d(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 15. Suppose 40 - 204 = -k*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1056 and 88.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 11*x = -16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j = -489 - 89 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1017.670649 to the nearest ten.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -9*y + 10*y. Suppose 3*c - 113 + y = 0. Let x be 24 + -3*(-1)\/6. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*u**2 - 22*u**2 - 12*u**2 to l + y*u**2 + d*u and give y.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 312078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2670733 and 1027205?\nAnswer: 13353665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:21 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1037499*w**2 - 5*w - 4. Let n be k(-4). What is n rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*z + 29 - 644, 3*y + 325 = 2*z. Calculate the highest common factor of 62 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, a: 5}. Give prob of picking 1 a and 3 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -922 divided by -6\nAnswer: 461\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7281 = -5*q - 5*v, 0 = -2*v + 8. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 6 - 2)*(-1 - 7 + 1) - 2 + 1 - 3)*(3 - 3 - 2*s) to the form q*s + i and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4855, -4853, -4849, -4843, -4835?\nAnswer: -4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 25)\/(12\/16)*1\/13.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 420167.1+-5027.079\nAnswer: 415140.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -12. Let h = j - -14. Let q = 7.5 - h. Put -2\/3, q, 1\/7 in decreasing order.\nAnswer: q, 1\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158611743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p\/p**(-13)*p))\/p)*p**(12\/7)*(p*(p*p**(-3))\/p)**6)**(-11\/3))**25 assuming p is positive.\nAnswer: p**(-11000\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 - 96*p**3 - 332*p**2 + 1296*p + 1530 = 0.\nAnswer: -5, -1, 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*(-20)\/(-10). Let r be (-5 + -2)\/(a + 0). Let c = -4 + r. Solve -c*f - 23 = -5*u, -5*f = 4*u - 10 - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 3, c: 1, e: 1, m: 1}. Give prob of sequence cd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.71619 litres in millilitres?\nAnswer: 49716.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 + 212. Let i = 69 - s. What is the closest to -4 in i, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 2 + f + 8*f**2 - 3*f**2 - 5*f**2 to v*f**2 + i + h*f + c*f**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 minus -307.5?\nAnswer: 362.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 355, 774, 1347, 2068, 2931, 3930?\nAnswer: 5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -2, 0, -31, 4 in descending order.\nAnswer: 4, 0, -2, -31, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s**2 - 2 + 2221*s**2 + 2545*s**2.\nAnswer: 4734*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*y + 5472 = 97*y. Calculate the greatest common factor of y and 1026.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -4*p - 40. Let s = -2 - -6. Suppose 0 = s*z - 20 - 44. Calculate the remainder when p is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 0, -85, 809 in decreasing order.\nAnswer: 809, 5, 0, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1 + 3*s**2 + 6*s + 4 - s**3 - 4 + s. Calculate i(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = -4*n + 1660, 0 = -2*n - 5*l + 823. Suppose -n*z = -406*z - 4488. What are the prime factors of z?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25633\/8 + -3194. Which is greater: k or 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1696781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-31 - -27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9743653?\nAnswer: 9743653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (129\/(-430))\/(9\/12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -45, -1\/30, 2, -5?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.27 in -0.6, 0.1, -0.5, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 12 = 0. Let d = 1 + 0. Let k(z) = 5 - n*z - 4 + d. What is k(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 6. Is (j\/(-6))\/(5608\/(-5604) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64073.42 centuries in months?\nAnswer: 76888104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 922*s**3 - 431*s**3 - 36*s**3 + (s**3 - s**2 + s**2)*(-3 + 4 + 0).\nAnswer: 456*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ippppippppipppippi. Give prob of picking 3 i.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245 and 46200.\nAnswer: 323400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + (-5*3*sqrt(1377) + sqrt(1377) - sqrt(1377))**2.\nAnswer: 9*sqrt(17) + 309825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doddydddddyfddd. What is prob of sequence df?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*i = -29 - 113, -2*i = -2*j + 80. Let w = j + 11. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5. Let a = x - 3. What is the closest to 2 in a, -3\/8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.43, -5, -2.83 in decreasing order.\nAnswer: -0.43, -2.83, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20c1b (base 13) to base 10.\nAnswer: -59174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 - -255. Which is the nearest to 6? (a) 2 (b) m (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62186 - 2?\nAnswer: 62184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -2 (c) -10.721 (d) 0.4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*l - 2 - 1 = 0, 3*l = -5*t + 81. Suppose 3*w = -0*w + t. What is the tens digit of (-152)\/w*9\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 3*m**2 + 7*m - 11. Let y be u(4). Let g = -6 + 13. Let d = -10 + g. Which is the smallest value? (a) y (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 2\/135 (b) -0.03 (c) 0.2 (d) -0.3 (e) 2.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruuu when four letters picked without replacement from rurrrruurruur.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(5*s - 7*s - 3*s)*(-3 + 16 - 5 + 20).\nAnswer: -280*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x\/x**6)\/(x**0)**(6\/23) assuming x is positive.\nAnswer: x**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 78066276 divided by -4\nAnswer: -19516569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1*sqrt(238)\/sqrt(7))\/sqrt(2) - (4 + 3*sqrt(17) - (sqrt(119)\/sqrt(7) + -4)))*3)**2.\nAnswer: -144*sqrt(17) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:41 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*m = 30, k - 3*m = -2*k - 12. Let p be 1\/k - (-9)\/9. Suppose -p*d = 2*d - 8. Solve 3*y - 11 = -2*f + 4, d*f + 2*y = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108.13613 - 107.173. Round m to three dps.\nAnswer: 0.963","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 80. Round f to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4 = -14, g - 14 = -5*r. Suppose g*j - 127 - 17 = -4*q, -q + 30 = -j. What is the lowest common multiple of q and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 - 110*d - 2 - 6*d**2 + 4*d**2 - 1044*d + 4 to i*d + s*d**2 + m and give i.\nAnswer: -1154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9598.228um in millimeters?\nAnswer: 9.598228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 108. Let w = -152 - -139. Let v = w + d. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 24*t - 13. What is b(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394\/12 + (-10)\/(-60) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*f = -0*a + 4, 3*f - 2 = -a. Let l = 2332 + -2330. Suppose 0 = 2*j - b - 5, -a*b + 0*b = -2*j + l. Solve -h = j*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3275552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3335455384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405389*l + 803846*l - 398453*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 50. Calculate c(23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 3*o + o. Let n be h(4). Solve -5*a - 5 = -0*a - 5*z, -5*z - n = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2.62426 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26\/3 - -9. Let n be (-4)\/2 + 198\/72. What is the closest to q in 1\/5, n, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71192346 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.5 - 19.3. Sort 2, w, 1.\nAnswer: w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(-p**3 - 35*p + 35*p) + (p - 8*p + 5*p)*(-p**2 - 2*p**2 + 4*p**2).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4125 and 8250?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:54 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -317 + 633\/2. What is the fourth biggest value in -2, -3\/4, -0.4, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 64*o**2 - 46*o - 227. Let s be h(-6). Suppose 6*z - 10*z - w + s = 0, 0 = -5*z + 5*w + 2960. What is the highest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*i + 40 = -0*i, 6 = 2*m - 3*i. What is the common denominator of (-257)\/m + 1\/3 and (3162\/32)\/17 - 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(84)*1 + sqrt(84))\/sqrt(12)*4 - ((-2 + sqrt(7)*-1 - sqrt(7))**2 + -2)*-3.\nAnswer: 90 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -713 - -469. Let f = -249 - s. Which is the second smallest value? (a) 14 (b) -0.1 (c) 5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766620605.\nAnswer: 3, 5, 117774707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 333 = -459. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4809 times 2?\nAnswer: -0.9618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 41, 61, 79, 95, 109?\n\"Answer: -p**2 + 25*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-566)\/4510*1632\/16. Let f = v + 2\/2255. Let n = f - -66\/5. Do n and -2.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 6 + 12 - 4 - 3*o - o as j*o**2 + w + i*o and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 314054610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 8. Let z be 6\/36 - 50\/156. Which is the nearest to 0.1? (a) 0.4 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93299, 93298, 93297, 93296?\nAnswer: 93295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -20. Let p(l) = -l + 15. Let a be p(x). Suppose -i = 4*h - 64, 0*i + 5*i - 80 = -a*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 5 (c) 16\/5341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**5\/20 - 3*n**4\/4 - 13*n**3\/6 - 33*n**2\/2 + 8*n - 31. Let k(x) be the first derivative of l(x). Is k(11) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 141, 183.\nAnswer: -3, 141, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*b - 4*r - 34, 0 = 4*r + 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 - 2*o + 14. Let t be p(-5). Suppose -112 = -11*k - t. Solve -2*v = 5*b + 4, -k - 9 = 4*b - 3*v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163445421 is divided by 1047727.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**3\/3 + 7*o**2 - 37*o + 16. Let i be g(10). Sort -1\/9, i, 4\/5.\nAnswer: -1\/9, 4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19763640 divided by 439192?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 5842.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -118*v + 5515. Calculate p(36).\nAnswer: 1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -89, -141, -167, -167, -141, -89?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/(2\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 4:42 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -157. What are the prime factors of -61*(-63)\/12 + i\/(-8)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -268506*h**2*m*u + 2*h**2 - 42*h*u - 15*h - 4*m*u + 257*u - 2 wrt h?\nAnswer: -537012*m*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -3.8. Let p = 17323\/25 + -693. Which is the third smallest value? (a) x (b) p (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + -134?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578154 is divided by 3381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 105*r**3 + 209*r**3 - 106*r**3)*(8 + r**2 - 8).\nAnswer: -2*r**5 - 49*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 6:16 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:53 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = 265296 + 55249 + 305871. Does 137 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + s = -5*q + 265, -2*q + 172 = -4*s. Suppose 3*u - 13 = 5*v, 0 = 3*u + 2*v + 2*v - 49. Calculate the highest common divisor of u and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 3. Let l be m(-4). Let s(f) = 2*f**2 + 0*f**2 + 5*f + 4*f**2. Let r(g) = -3*g**2 - 2*g. Let q(p) = l*r(p) - 4*s(p). Factor q(a).\nAnswer: -3*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 18 - (-131 + 158)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -118. Let n = a - 26. Does 11 divide (12\/(-10))\/(n\/(-630))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) - 11573579\/(-553) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 310 in descending order.\nAnswer: 310, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, f: 1, b: 1, i: 2, k: 3}. Give prob of picking 1 o, 1 k, 1 f, and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21134563?\nAnswer: 89, 237467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4*r**2)*(-5 + 6 + 0) - 2*r**2 + 2*r**2 + 2*r**2 - 13*r**2 + 30*r**2 - 16*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70743 or 70738?\nAnswer: 70743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56119, 0, 7, 136 in descending order.\nAnswer: 56119, 136, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -212, -3, 129, 3732 in descending order.\nAnswer: 3732, 129, -3, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 33\/(-10))\/(6120\/(-2550)). Which is the smallest value? (a) h (b) -1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 7:19 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-12 + 27 + -12) - (20 + -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.006 in -4, -3, -62?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 - 30*v + 2. Let t be b(6). Solve 0 = -t*q - 3*a + a - 8, -3*a - 7 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -156. Let f(l) = -5*l**2 - 6*l - 6. Determine f(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -491097?\nAnswer: -1\/163699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12818437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266\/5 - 53. Let k(g) = -g**3 - 12*g**2 + 12. Let o be k(-12). Let b be o\/8*(-1)\/(-3). Sort s, b, -2\/9 in decreasing order.\nAnswer: b, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*d = -50, -14 = -5*n + 2*d + 30. What is the derivative of 37*w**3 + n - 29*w**3 + 1 + 0 wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3118 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*y + 0*y = 7793, -4*k = -3*y - 15607. Let m be 3125\/(-10)*(k - 0). What is m rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 44*b - 7. Is 5 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**2 - 2*v + 6. Let c(l) = -l**2 + l - 1. Let g(z) = -5*c(z) - n(z). Let t be g(-3). What are the prime factors of -9*(-1)\/t*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 4*q**2 + 0*q**3 + 0*q**4 + 0 + 0*q - 1\/30*q**6 + 1\/15*q**5. Determine n, given that w(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 34 = 5*z, 0 = s - 3*z + 16 - 4. Let c be (-658)\/4*s\/(-3). Let d = -138 - c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1942 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103 + 1934440*s - 2667*s**2 + 179 - 1934443*s wrt s?\nAnswer: -5334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 24 + 32. Let d be (-8)\/12*24\/o. Factor 2*f**3 + 0*f - 2*f**2 + d*f - 6*f**2.\nAnswer: 2*f*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrn when three letters picked without replacement from qqcriqcclcqcinn?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 6*s + 3. Let g be y(6). Let j be g*(-4)\/(-3) - 1. Suppose -2*w = j*t - 18 - 37, -4*t = -w + 11. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -563*h**3 + 1185*h - 28. Let n(u) = -562*u**3 + 1187*u - 24. Let b(z) = -7*n(z) + 6*r(z). What is the second derivative of b(j) wrt j?\nAnswer: 3336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ac (base 14) in base 3?\nAnswer: 1211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828*z + 830*z - 60 = 0. What is the remainder when 78 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63951*n**3 + 339460*n**2?\nAnswer: -383706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 2*z + 12. Let b be y(-4). Suppose 5*h = -2*a - 0*h + 28, b*a - 8 = 2*h. Solve -2*l + a = -3*c - 0, 2*c + 2*l = 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfdi when four letters picked without replacement from {d: 1, f: 9, y: 2, i: 4, q: 3}?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8)*-2)\/(84\/(-168))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143\/4 - -36. Let n = -136 + 547\/4. Which is the second biggest value? (a) y (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21478128 and 1940.\nAnswer: 107390640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -49. Let y be 8 - d\/9*(-12)\/(-4). Solve 3*k - 4 = c - 16, y*c - 16 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(5 - (-154)\/(-11))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 11. Calculate the greatest common divisor of 77 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -139, -558, -1255, -2230?\n\"Answer: -139*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -23*l + 234. Let i be v(10). What is the second derivative of -96*k + 52*k**4 + 6*k**i + 28*k - 2*k**3 wrt k?\nAnswer: 696*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:45 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39470096 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 629\/114 greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 30 = -2*k - 3*a, -4*k + 4 = -5*a. Solve -2*f = -0*f - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291801 divided by 12687.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -587 - j - 265 + 99 - 226 as g*j + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i + 3. Let h be f(-6). Let a = 6 + 7. What is the highest common factor of h and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000500768 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201012011 (base 5) to base 4.\nAnswer: 3002300330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.865 and -3?\nAnswer: -5.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 54 = 2*c, 4*a - 22 + 1 = -c. Let z be 12\/4 + c\/(-9). Let u = z - -1\/9. Put u, 1, -5 in descending order.\nAnswer: 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217808 equal to 1524661\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.371 - -37.629. What is the second smallest value in -2\/5, z, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**2\/2 - 933. Let n(g) = 88*g**2. Determine a(n(k)).\nAnswer: -88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**3\/3 - 5*j**2 + 1061. Give o(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 397*z + 119*z = 100*z - 97*z - 15390 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*x + i, -50*i + 67*i = 2*x + 91 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 3562*r**2 + 50253*r - 98. Give x(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 224949.83 to the nearest one thousand.\nAnswer: 225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.15 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2772*p - 2770*p - 1)*(1 + 3 - 1 + (-2 + 0 + 3)*(-2 + 0 + 0)).\nAnswer: 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) + 6*(sqrt(170) - (-2*sqrt(170) + sqrt(170) - sqrt(170) - sqrt(170)))))\/(sqrt(10) - (sqrt(40) - (sqrt(160) - sqrt(40))))*-6.\nAnswer: 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 18*j**2 + 2. Let k be w(-3). Suppose 4*h + k = 8*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:34 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129681583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 7*r + 22. Let a = -91 + 82. Let m be n(a). Let j be (4 - 1)*(-5)\/(-3). Solve 0 = -5*g + x + 13, j*g - m*x + 5*x - 7 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*3 + 296*(-29)\/232 + 25.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 - 660*w**2 - 1251*w + 12433. Calculate c(-218).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -40. Let l be 9\/t*(-10)\/(-3). Put -2, l, 12 in descending order.\nAnswer: 12, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 10*l**2 + 1. Let d be x(-10). Suppose 1 = -2*a - d, -u + 4*a + 19 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*v - 169*v - 706623 + 3576351. List the prime factors of v.\nAnswer: 167, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 + -1 + 152\/36. Suppose z*i + 14 - 20 = 0. Put i, 4, -3 in decreasing order.\nAnswer: 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(726) - sqrt(726)*-1))**2 + sqrt(10)\/(2*sqrt(500) + sqrt(5)).\nAnswer: 1\/242 + sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71*o - 42*o**4 - 71*o + (-5 + 3 + 0)*(2*o**3 - 2*o**3 + 2*o**4).\nAnswer: -46*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y. Suppose y = -5*d + 10*d - 115. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 + (-15)\/(-6). Let m(i) = 3*i**4 - 2*i**q - i**4 + 0*i**2. Let w(y) = -4*y**4 + y**3 + 3*y**2. Let l(a) = -5*m(a) - 2*w(a). Factor l(c).\nAnswer: -2*c**2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4\/5 (b) -1.11 (c) -51 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 32806 = -75905 - 9315. Is a a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 34*w - 2*a - 91708 = 0, 2*w - 3*a = 91713. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or 6471104?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 - 126. Let x be (108\/q)\/((-6)\/(-105)). Solve 0*j + 11 = -3*l - 2*j, 5*j = 4*l + x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/15675 and 91\/12540.\nAnswer: 62700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2675*d**4 + 32105*d**3 - 24135*d**2 - 58805*d + 110 = 0.\nAnswer: -1, 1\/535, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(0*j + 4*j - 3*j)*(-j**2 - 4*j**3 + j**2 + 2).\nAnswer: 12*j**4 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 0.4\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2684*l - 2710*l + 416 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.06, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -39. Let f = -35 + p. Calculate the remainder when 23 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5193 + 5064*n + 10396 - 5195.\nAnswer: 5064*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 323, 4, 3, 0, 5 in descending order.\nAnswer: 323, 5, 4, 3, 0, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -869 - 90.18922\nAnswer: -959.18922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -92, -265, -586, -1103, -1864, -2917?\n\"Answer: -8*d**3 - 2*d**2 - 11*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**2 + 1596*x - 21155. Determine n(252).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 334 + 478. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242961637?\nAnswer: 17, 1361, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4615*w + 1512*w + 1515*w + 1586*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 30*m - 39. List the prime factors of w(10).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 406260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/4 - 7*n**3\/3 - n**2\/2 + n - 5. Calculate k(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 45*i - 405. Calculate n(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2694\/(-5))\/(6\/60). List the prime factors of (12\/(-24))\/(2\/x).\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125866975 a multiple of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*p = -p - 7, -2*t = 2*p - 2. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-2 - -3)) + 7 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5877 - -5879. Let v = 53 - 72. Sort b, v, -5 in decreasing order.\nAnswer: b, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4132643 (base 8) to base 6.\nAnswer: 35245443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**4\/8 - 19*l**3\/6 - 811*l**2. Determine z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 121595? (a) -1\/13 (b) -2 (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 4}. Give prob of picking 3 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -963.62 - -1050.6208. Let b = -81 - -168. Let m = b - r. What is m rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3732*i + 11185 = -14939 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -31*m**2 + 1198*m - 1395. Calculate w(38).\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2126508 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57.602 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.1 (b) -29686 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/64 and -47\/208?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 167, -453, -1485, -2929, -4785, -7053, -9733?\n\"Answer: -206*h**2 - 2*h + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h - 8*h - 3*h + 20*h**2 - 6*h**2 + 18*h as r + n*h + t*h**2 and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 43*c**3 + 31*c**3 - 7*c + 5*c.\nAnswer: -15*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/555 and 107\/608448.\nAnswer: 112562880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 22 - 134. Suppose 3*k + k - b = 0. Let v = 33 - k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1 + 2*b**3 + 4 + 0*b - b - 2. Let f be z(1). Find the second derivative of -4*o - o + 3*o + o**f + 2*o**2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -219, -435, -647, -855, -1059, -1259?\n\"Answer: 2*i**2 - 222*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.81 - -3.81000093. What is d rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12*4\/(-8)*0. Let k = -22 - -21. Is (s + k)*5\/10*-166 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86044047 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -276*n + 4. Let d(h) = -5*h**2. Calculate p(d(r)).\nAnswer: 1380*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gouc when four letters picked without replacement from {c: 1, u: 3, o: 6, q: 5, z: 1, g: 1}?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*o**3 - 3*o**3 - 2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucwuuuc. Give prob of picking 1 u, 1 c, and 1 w.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 1. Suppose -x + 4*g - 14 = 0, -2*x - 12 = -g - 3*g. Suppose 0 = 5*d - x*d - 3. Give h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:52 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (570\/110 + 4\/(-22))*-15. Let y = -59 - x. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 812972, 812969, 812964, 812957, 812948, 812937, 812924?\nAnswer: 812909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 15*k**2. Let s(x) = -82*x + 62. Let m(v) = -138*v + 125. Let g(p) = 3*m(p) - 5*s(p). What is h(g(o))?\nAnswer: 240*o**2 - 7800*o + 63375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 10, 0*b + 2*b - 3*u = 8. Calculate the highest common factor of 56 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**4 - 797385*g**3 + 55806126*g**2 - 1029957036*g + 1843068600 = 0.\nAnswer: 2, 34, 265725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 81.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - n + 10, -3*b + 3*n = -4*b + 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = p - 5*x, 3*p = -0*p - 3*x + 867. List the prime factors of p.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 13 (b) 9\/193 (c) 213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(1\/6)*l))\/((l\/(l\/(l\/(l**(-3)*l)))*l)\/l)*l*l**(1\/4)*l\/((l**(-3\/5)*l)\/l))**(-49) assuming l is positive.\nAnswer: l**(-2009\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z - 5. Let i(t) = -t + 1. Suppose 9*d - 15 = 3. Let f be (-2 + 2)\/(d - (-2 - -1)). Suppose f = -13*c + 14*c - 9. What is c*i(v) + 2*k(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((2 + 24\/(-4))*4\/40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5220871 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -217, -0.4, 0.2, 2\/3, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -136386, -136422, -136458?\n\"Answer: -36*c - 136350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -50*(-310)\/(-150)*(-1 - 64\/2). Which is greater: o or 3407?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2574456, -5148907, -7723352, -10297791, -12872224, -15446651?\n\"Answer: 3*i**2 - 2574460*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1.4, 2, 4\/13, 5\/4 in descending order.\nAnswer: 2, 5\/4, 4\/13, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -21*w + 28. Let g(h) = 1250*h**2. Give o(g(i)).\nAnswer: -26250*i**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24342452 to the nearest integer?\nAnswer: 4934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 1153715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 48. Let r be m(14). Suppose -r*z + 27 = -9. Suppose -z*l + 392 + 280 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 485249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12514 + -12403. Calculate the remainder when r is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-2 + 22) - (-11 + 21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 468965 greater than 468952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -912, -1, 5, -35\/2?\nAnswer: -912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, 0, -637, -2\/5, -6, -4\/45?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -222102122110121 (base 3) in base 16?\nAnswer: -d655f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/20)\/(((-81)\/24)\/9)*(-65)\/52. Factor 0 + 0*x + 11\/4*x**n - 1\/4*x**4 - 5\/2*x**3.\nAnswer: -x**2*(x - 1)*(x + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -593\/50?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/4826 and -43\/12954.\nAnswer: 246126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-42)*(-3)\/(-2))\/(6\/(-4)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 130*a - 522. What is the lowest common multiple of m(6) and 348?\nAnswer: 14964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -808\/2259 - 80428\/1366695. Let t = g + 2\/121. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73516, -294108, -661760, -1176472, -1838244, -2647076?\nAnswer: -3602968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-1\/3)\/(y**1\/y*y*y**(-1\/4)*y) assuming y is positive.\nAnswer: y**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*g + 0)*(-1 - 1 - 4) + (-2 - 1 + 2)*(g + 3*g + 0*g) to j*g + w and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/61 - 150\/427. Let q be (1\/1)\/(-5) + 1. What is the nearest to -0.1 in -2\/13, d, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 - 195. Solve 77 = u*x + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 461*u**4 - 29*u**2 wrt u?\nAnswer: 11064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815*k - 150*k + 31*k - 36192 = 0 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -99*(-4 + 30\/9). Calculate the remainder when 6*4\/((-8)\/(-39)) is divided by 984\/33 - (-12)\/r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*3)\/((-18)\/(-12)). Suppose -2*q = d*b, -2*q = 5*b - 9 - 3. Sort -1, b, -5.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -18, 13 in descending order.\nAnswer: 14, 13, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 603 - 558. What is the highest common factor of o and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15 - -2 - (0 + 1). Let y be (-88)\/s + 14\/(-49). Let q(u) = 5*u + 4*u + 10 + u**2 - y. What is q(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4228791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 33 = l. List the prime factors of (3 + l)\/(6\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 4 + 0*j**4 - 2*j**4 + 4*j**3 in the form z*j + w*j**2 + m*j**3 + g + c*j**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 at most 603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 24 = 3*i + 10*q, 3*q = 5*i - 40. Calculate the remainder when 286 is divided by 40\/(-8) + i + 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h + 71. Let n(l) = 3*l + 25. Let d(f) = 17*n(f) - 6*z(f). Determine d(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 + 14 + 18 + -21)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 13)*(-d**3 + 6*d**3 - 3*d**3).\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 + 2*z**2 + 2*z + 2. Let s(v) = -3*v**3 + 3*v**2 + v + 3. Let h(f) = 3*c(f) - 2*s(f). What is the second derivative of h(x) wrt x?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20364*t + 20358*t = -5*w - 50, 0 = w + 4*t - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/8)\/(27\/(15552\/(-160)))*8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(99840\/(-432))*16\/(-6)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 r when three letters picked without replacement from {u: 1, r: 3, x: 3, l: 5, s: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71 or 13361?\nAnswer: 13361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 22, 24, 28, 34?\n\"Answer: f**2 - 3*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.969 - -0.031. Let u = 10.03 + -10. Let w = 0.07 + u. Which is the closest to w? (a) 1 (b) 2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 3 + (sqrt(21)\/sqrt(3))**2 - (1 + (sqrt(14)\/sqrt(2))**2).\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, w: 2, r: 1}. What is prob of picking 1 w and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 3*v + 53. Let o be j(31). Suppose s - 1142 = -2*s + 4*f, 3*f - o = -3*s. List the prime factors of s.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18746 divided by -14.\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 + 171. Calculate the greatest common factor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*q + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 24279, 1 in decreasing order.\nAnswer: 24279, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.5? (a) 0.3 (b) -12 (c) -29 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)\/j**5)\/((j*j**(2\/3))\/j)**(-1\/62) assuming j is positive.\nAnswer: j**(-1330\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = -5*q + 13, 3*d - 4*q - 5 = 0. What is the second derivative of t - t**3 - d*t + 3*t**3 - 6*t wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 8:19 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2137704872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 113120845247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/1330*980\/49\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182\/71 or 4?\nAnswer: 182\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.1834\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 + 2211*x\/2 + 10905.\nAnswer: 3*(x + 10)*(x + 727)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 185665\/4 or 46415?\nAnswer: 185665\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/12 - 211*w**2\/2 - w - 46. Let z(s) be the first derivative of g(s). Let j(t) = 2*t**2 - 28. Give z(j(a)).\nAnswer: 4*a**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-6)*12\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25889 * -1.6.\nAnswer: -41422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-6)\/(-34)) - -3. Let b be (-2)\/11 + 140\/44. Suppose 0 = -5*f - t, b*f + 96 = -n + 4*n. What is the remainder when n is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (10 - (10 - 5)))*(-2)\/(-60)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80369734.\nAnswer: 2, 19, 389, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/6 + 2*b - 5. Let x(o) = 7*o + 2. Calculate f(x(u)).\nAnswer: -98*u**2 - 56*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(567)*2*-4).\nAnswer: 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 + 4*v**2 - 2*v + 8. Calculate m(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(84\/(-175))*(12\/15)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4725*w**2 - 2957*w**2 - 2*w**3 - 1827*w**2.\nAnswer: -2*w**3 - 59*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 7 + 3. Suppose -3740010 = -a + 5*r, -f*r - 11219996 = -3*a - 4*r. Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 + 9*w + 24. Let m(z) = -3*z**2 + 5*z + 12. Let r(k) = -4*j(k) + 7*m(k). Let d(o) be the first derivative of r(o). Give d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:49 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6525817, -6525818, -6525819, -6525820, -6525821?\nAnswer: -6525822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -835*z + 21 - 72 + 29 + 22 as p*z + v and give p.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 210014*j + 2310155. Determine p(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -4 - -5 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67714904 divided by 67714904\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7505, -7506, -7505, -7502, -7497, -7490, -7481?\nAnswer: -7470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 33*w**2 + 36*w + 130. Let n be o(-32). Let s be 35\/n + (-6)\/(-4). Solve -5*d + 2*d + 15 = 0, -2*p + 3*d = s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50129 - 50121 + 18*r + 100250.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 2*w - 5. Determine r(-5).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 147*v**5\/5 + 96*v**3 - 365. What is the third derivative of n(q) wrt q?\nAnswer: 3528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1182440 divided by 8\nAnswer: 147805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 4*u**2 - 2*u**2 + (2*u**2 - 2*u**2 - u**2)*(-4 + 0 + 2).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136179 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*p = -2, 26*c + p = 27*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**3*z + 6*g**3 + 9*g**2*z - g**2 + 4*g wrt g?\nAnswer: -30*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 1\/2 (c) 1744 (d) 3 (e) -0.08 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2638194 divided by -33823\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 696\/7 + -100. Let b be 4*3*(-5)\/(-12). Let h = b - 5. Is v bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 728425\/4 - 182104. Determine w, given that -3\/4*w**5 - 39\/8*w**2 + t*w + 9\/4*w**3 + 0 + 9\/8*w**4 = 0.\nAnswer: -2, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 30*y + 5. Let g(h) = 28*h + 4. Let n(m) = -6*g(m) + 5*r(m). Let w be n(-1). What is the second derivative of -1 - 6*a**2 - 41*a - w*a**2 + 1 wrt a?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - t - 2*t - 10 = 0, -5*k + 42 = t. Suppose 838 - 270 = -k*n. Let l = -66 - n. What is the smallest value in 3, l, -1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.4 (b) -1148 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*y - 3*y**4 + 18*y**2 - y**3 - 20*y**2 + 2 to d + c*y**2 + w*y**3 + z*y + n*y**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 171, 1, 2 in decreasing order.\nAnswer: 171, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(190) + sqrt(190))\/sqrt(10) - ((sqrt(38)\/sqrt(2))**2 + -3)) + sqrt(19)*-2 + -1 + -1.\nAnswer: -18 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (0 - 3\/1) + 11. Let o(r) be the third derivative of 0*r**3 + 0 - 1\/240*r**w + 2*r**2 + 0*r**4 - 1\/120*r**5 + 0*r. Determine h so that o(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8869 and 2414902.\nAnswer: 16904314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 1629005.\nAnswer: 4887015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/2)\/((l*(l**(-4\/15)\/l)\/l)\/l)*(l\/(l*l*l*(l*l*l*l**(-5)*l)\/l))**47)**(-13) assuming l is positive.\nAnswer: l**(-2249\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 64\/19, -2, 55.\nAnswer: -6, -2, 64\/19, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5699767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q = -128*q + 18*q + 1194. Solve q = -3*s - 2*t - 3, 5*s + 16 = -3*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -6. Let g = j - -9. Factor -3*t**4 - 7*t**3 - t + 3*t**2 - 4*t**g + 5*t**3 + 7*t.\nAnswer: -3*t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.6 - -8.6. Sort -5\/3, j, 7.\nAnswer: -5\/3, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) -1 (d) 27\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*p - 1460 = 1148*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (651\/(-75) - -3)\/((-120)\/(-150)) and 3\/6448.\nAnswer: 32240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000110000101101100001001110 - 11?\nAnswer: 101000110000101101100001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -12) + (0 - 2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 2*o + o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 47)*(-3*t**2 + 2*t**2 + 0*t**2).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 13*x + 25. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -7138\nAnswer: -9\/7138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 12, -2*c = 4*q + q + 244. Let k = 299\/6 + q. Let t = k + -1\/6. Sort t, -1, -1\/6.\nAnswer: -1, t, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -116*c**3\/3 - 6558*c**2 - 904*c - 2512. Solve d(h) = 0 for h.\nAnswer: -113, -2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19118 - 3562 = 40*a. Let d be -5*(2 - a\/45). Do -70 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*p + 14, 0 = 6*m - m + 3*p - 54. Suppose -m = -7*i + 3*i. Solve i*a - 5 = 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 13514498?\nAnswer: -2\/6757249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -96503.8505 - 1.1?\nAnswer: -96504.9505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*g + 19, -5*g - 4*j + 38 = -5*j. Suppose g = d - 8. Let t = 10 - d. Put t, 5, 4 in descending order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 3\/16*y**2 - 3\/8*y**3 - 3 + 0*y. Factor h(r).\nAnswer: -3*r*(3*r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1580? (a) 0 (b) 0.2 (c) -2\/105 (d) 0.04 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roocrccrcrcorrrr. Give prob of sequence rrc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + 116. Let w = 107 + -2. Let s = o - w. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -31*o + 388. Calculate the remainder when h(3) is divided by 102.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, 2, 0, -11, -3190, 3 in decreasing order.\nAnswer: 3, 2, 0, -5, -10, -11, -3190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/(3\/(-6)). Let k(s) = -s**3 - 11*s**2 + 5*s + 3. Let x(o) = -o**3 - 7*o**2 + 3*o + 2. Let v(f) = -5*k(f) + 8*x(f). What is v(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030124 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 + 2*b + 3. Let r(z) = 8*z**2 + 3*z + 5. Let l(g) = -5*n(g) + 3*r(g). Find the second derivative of l(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 3:48 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 2. Let y be s(-4). Suppose 2*c + 0*c = -y. Let m(q) = -78000*q**3 - q - 1. Let l be m(c). What is l rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {v: 1, y: 1, g: 1, t: 2, x: 2, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61008 and 68634?\nAnswer: 549072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 23*i**3 + 5*i**2 + i - 9. Let h(o) = -22*o**3 - 6*o**2 + 9. Let z(d) = -4*h(d) - 3*l(d). Let u be z(4). Let m = 2058 - u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(63)*-2)\/(sqrt(9) - sqrt(729)*-3) + ((sqrt(847)*1 - sqrt(847)) + -4)**2 + -2*-2*sqrt(847).\nAnswer: 16 + 310*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 145 = -4*m, 0 = -5*m + 2*y + 122 + 60. Suppose 4*r = -5*v - m, -2*v - 2*r = r + 20. Calculate the remainder when 1 + v + -8 + 23 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 7:18 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.062, -33, 2\/9, 4, 33.1, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i*x**2 - 2*i*x - 4*i + 7*x**2 - 10 wrt x?\nAnswer: 22*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s. Let v be a(2). Solve -b = -v*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = y + 2*y - 3*j, y - 37 = -4*j. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/220 and 9\/383840?\nAnswer: 4222240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.122*3.\nAnswer: 0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -550 - -38240?\nAnswer: 378b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + l + 157*l**2 - 4*l - 103*l**2 - 57*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.2802\nAnswer: -0.1401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j)**(-10\/7)*j**(2\/5)*j*j\/(j**(-3\/11)*j) assuming j is positive.\nAnswer: j**(1744\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (sqrt(1377)*-1)**2 + (sqrt(1377)*1)**2 + (0 + -1*sqrt(153))**2 + 5.\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/518, 2\/7, 0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 75*x**2 - 1 - 5 + x.\nAnswer: -75*x**2 + x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - 4 - (-11 + 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-21 - (-1 - (-8 - -28))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-66 - -13) - 78?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 - 11 - (1 + 2))*2. Suppose -140 = -m*x + 462. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -2*w**2 + 5*w + 11. Suppose -13 = 3*u + 5. Let x(v) = 3*v - 4. Determine u*x(r) - 5*t(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 6, -19\/4, -25, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144739 (base 11) to base 9.\nAnswer: 373700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 78 (b) -10 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-192)\/(-36) + (-2)\/6. Suppose 3*m - 175 = -5*c, -h*c + 87 + 98 = 5*m. What is the lowest common multiple of 40 and c?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48, 66, 96, 138, 192, 258?\n\"Answer: 6*g**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 366238*w + 5127536. What is p(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + d - 2. Let q(r) = r**3 + 6*r**2 + 5*r - 2. Let g be q(-5). Let y be h(g). What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -837.1 and 0.5?\nAnswer: -418.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m**2 - 1. Let h be s(-1). Suppose h*v = 13*v - 2. Solve 0 = v*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44369264?\nAnswer: 2, 2773079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -28. Suppose -2*x + 3*x - 2*s - 134 = 0, -t*x = -s - 688. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24396?\nAnswer: 2, 3, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1568*t**2. Let s(a) = 14*a. Calculate s(r(v)).\nAnswer: 21952*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28397*k*l*s - k*l + 2*k*s + 6*l*s + 5*l - 191032*s wrt l.\nAnswer: -28397*k*s - k + 6*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 7) in base 2?\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xabfwawawxtaaaftwaaa. What is prob of picking 2 a, 1 b, and 1 w?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 4*o - 60, -240*w + 81*w + 66*w + 21*o = -88*w + 251 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17881.2 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6425565 (base 9) to base 15.\nAnswer: 47ed18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 3*s**2 - 37*s - 74. Let l be p(-2). Let b = 3 + 1. Sort b, -1, l, -5 in ascending order.\nAnswer: -5, l, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 10 = 2*v. Let o be 14\/(-12) + 0 + v. Let f = 42 + -127\/3. Sort o, 3, f in ascending order.\nAnswer: f, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 - 238*u - 1436\/3.\nAnswer: 2*(u - 359)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2366631916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 18. Let m = 19 - o. Is 4\/m + (-130)\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/20 and 19\/618238.\nAnswer: 6182380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 890, 993, 1096?\n\"Answer: 103*y + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/7946 - -1718333\/11919. Suppose -2*n = -6*n + 568. Let i = n - m. Is i equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or 6679?\nAnswer: 6679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7223215 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4831061?\nAnswer: 1567, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((450 - 460) + 32 + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 - 2*r**3 + 14*r**3 + 26*r**2 - 10*r + 0*r**3 + 22 - 9*r**3. What is the tens digit of f(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15304244239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*p, 5*f - 2*p + p - 59 = 0. Let b be (-4)\/22 + (-43130)\/(-55) + 1. Suppose g - 4*g = -f, 5*g - b = -5*u. Is 27 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -964 - -1868. Suppose -5*b - v = -2*d, 3*d + 4*b - 1752 = -d. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*q - f - 30, -5*q = -3*f - 50. Let y be (q\/3 - 2)*6. Suppose y*z = -0*z + 2. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 4 + sqrt(1900) + -1 + sqrt(931))**2 + (sqrt(1900)*1 + -5 - (sqrt(1900)*-1 - sqrt(1900))**2*6).\nAnswer: -39440 + 118*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/5080 and 37\/6.\nAnswer: 15240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (126\/(-35) - -3) + (-18)\/(-5). Let y be b + -3 + (8\/2 - 3). Let m(c) = -c**2 - 3*c + 4*c - 4*c - 2. Let l(r) = r. Give y*m(o) + 3*l(o).\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + 6*(sqrt(192) + 0)))**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -6*l + 5*l + 15, -3*l = 4*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 z when four letters picked without replacement from uzkbqzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 115155465 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2. Let x(l) = -637028*l. Determine g(x(b)).\nAnswer: -811609345568*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 4, r: 2, c: 8, z: 2}. What is prob of picking 1 r and 1 z?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2 + 1. Let t(r) = 8*r**3 - r**2 + r + 1. Let s(k) = -15*k**3 + k**2 - k - 2. Let n(i) = -3*s(i) - 5*t(i). Calculate n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 8 + 1)*(j**5 - 3 + 3)*(1 + 84 - 21).\nAnswer: 1536*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 37*n**2 - 170*n - 14. Give z(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-129)\/1204).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1603.7 in 5\/2, -4, 1\/10, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-12))\/((-35)\/(-14))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125501614.\nAnswer: 2, 7, 59, 151939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxvxjv. What is prob of picking 1 v, 1 x, and 1 j?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 754566 and 694602?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112 + 120121?\nAnswer: 202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f - 30. What is l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 874?\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62090186 is divided by 15522544?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/92*(-26)\/(-13)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 4:29 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvwmvvmftffw. Give prob of picking 2 w, 1 l, and 1 t.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 484123813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhyhyyh. What is prob of picking 1 h and 1 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 27*b + 59. Let f be z(-3). Solve 10 - f = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 10:28 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1. Let k = -13 + 29. Suppose -k = -0*j - 4*j. Let n(a) = a**2 + 3. Let z(i) = j*m(i) - n(i). What is the first derivative of z(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952, -1904, -2856, -3808, -4760, -5712?\nAnswer: -6664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26800557.\nAnswer: 3, 7, 229, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*w - 27421523*i**2 + 844*i*w - 14827*i - 2*w wrt i.\nAnswer: 2*w - 54843046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4. Let v(i) = 11. Let o(c) = -8*r(c) - 3*v(c). Let x(n) = n**3 + 4. Suppose -3*g = 5 - 2. Calculate g*x(z) - 4*o(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98775*i - 99973*i - 54648*i - 126160*i.\nAnswer: -379556*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155706 + 321706. What is d rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39294 - 39290. Let n = 0.5 + -3.5. Put -0.04, m, 3, n in decreasing order.\nAnswer: m, 3, -0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/139 and -27\/34738?\nAnswer: 4828582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 122*d - 6618. Give l(163).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 5, k: 6, d: 1}. What is prob of sequence ek?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 228*f**3*n*v - f**3 - 135*f**2*v - 3*f*n + 3*f + 4*n*v - 22262*n wrt v?\nAnswer: 228*f**3*n - 135*f**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 + 156*t**3 + 126*t**3 - 19*t**2.\nAnswer: 282*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, 8 in decreasing order.\nAnswer: 8, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2. Let r(h) be the first derivative of 4*h**3\/3 - 1. Calculate r(x(j)).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 3195.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1347, 2625, 3895, 5157, 6411?\n\"Answer: -4*w**2 + 1290*w + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Let o = 4 - 6. Let v = -6 - o. Sort -0.2, q, v in ascending order.\nAnswer: v, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.664789 rounded to 1 decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 104 = 3*z, 0*h = 4*z + 5*h - 127. Find the first derivative of 2*m - z + 9*m + 6*m wrt m.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 + 6*r - 3. Let b(y) = -112*y**2 + 98*y - 49. Let c(g) = -3*b(g) + 49*d(g). Let q(i) = 8*i**2. Give c(q(j)).\nAnswer: -448*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.799 - -0.109. Let y = c + 0.19. Sort 3\/8, y, -2\/7.\nAnswer: y, -2\/7, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-13 + -3)) + 1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45*2680668\nAnswer: -120630060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 29, 20, -3, -46, -115, -216?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 2, a: 2, t: 3, x: 4}. Give prob of picking 2 t and 1 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14295*x**3 - 39*x**2 + 76*x**2 - 6933*x**3 - 6629*x**3 - 37*x**2.\nAnswer: 733*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/61, -5 in decreasing order.\nAnswer: 2\/61, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from zkkkkkkikzkzkkikzkz.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.9827 millilitres to litres.\nAnswer: 0.2289827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 111739, -497.\nAnswer: -497, -2, 111739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 3?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 + -1 + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -7*n + n. Let a = -61 - -42. Let p = n + a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 6\/(-12))*(-2)\/3. Let j(y) = 4*y**2 - 2*y - 2. What is j(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**3 + 2*x**3 - 4*x**3 + (-1 + 3 + 1)*(0*x**3 + 2*x**3 - 4*x**3) as q + u*x**3 + t*x**2 + p*x and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (304\/40 + -8)\/(2\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 186*a - 345*a - 33 - 12*a**2 + 158*a - 72*a**2 in the form k + x*a**2 + v*a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 7*f + 3. Let y be z(7). Let d be 18\/5 - y\/5. Let o be 0 + 2*3\/(-21). What is the nearest to o in -3\/2, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i\/i**(1\/4))\/i*i)\/i**(-19))\/(i\/i**(-19)*(i*i\/((i\/(i**(-2)*i))\/i))\/i) assuming i is positive.\nAnswer: i**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2018 - 3831.884.\nAnswer: -1813.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 6) + 5 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 + -0.1. Let w = 0.018 + -0.218. Let h = -0.28 - -0.68. Which is the closest to w? (a) -0.4 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 137 = -99 + 371 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003935055696 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260290654 - 0.2928.\nAnswer: 260290653.7072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561 and 16779?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 9*m**2 - 27*m - 91. What is v(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 11. Let r be d(8). Suppose 0 = 4*c - 3*h - 11, c - r*h - 3 = 4. Suppose 6\/7*w**4 - 2\/7 - 4\/7*w**3 + 6\/7*w - 4\/7*w**c - 2\/7*w**5 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(sqrt(32)\/sqrt(4)))\/((5*sqrt(36) - sqrt(4)) + sqrt(4)).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/3*(-17 - 1903\/(-110)). Let t = 1\/5 + 1\/5. Let w = -0.04 + -0.26. What is the closest to t in w, -2, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5135197?\nAnswer: 5135197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.872 + 2.128. Let u = -2 - 3. Let j = 215\/7 + -31. Which is the nearest to 3? (a) u (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110.5 + -112. Which is the nearest to -1\/2? (a) f (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5 - 3562*d**4 + 28414*d**3 - 81614*d**2 + 99312*d - 42552 = 0.\nAnswer: 1, 2, 3, 1773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6653 + 13285?\nAnswer: 19938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + (3291\/(-300) - -5))\/((-27)\/(-56)). Is c >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851109 greater than or equal to 17022173\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/4 + u**3\/6 - 3*u**2 - 5*u. Let v be l(3). Calculate the greatest common factor of 36 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544) + 2*(sqrt(544) - (sqrt(544) + -2*sqrt(544))) - sqrt(544))\/((sqrt(200)*-2 + sqrt(200))*4) + -2.\nAnswer: -2 - 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 83 + 283. Does 32 divide (-9604)\/(-20) - (-4)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let n be (1\/1)\/((-2)\/(-4)). Suppose 0 = -n*j + 3*k + 8, 2*j + 5*k + 3 = 11. Let z(r) = 2 + j*r - 2 - 3*r. Give z(q(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*c**3 + 3)*(0 - 3 + 4) + 3319*c**3 - 62652 + 62652.\nAnswer: 3317*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i. Let b(s) = -29395*s - 4. Determine r(b(f)).\nAnswer: 323345*f + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**2 + j + 19*j**2 + 41*j**2 + 43*j**2 + 30*j**2.\nAnswer: 100*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7280 is divided by 3599?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33727, 68133, 102525, 136897, 171243?\n\"Answer: -t**3 - t**2 + 34416*t - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27924939, -27924938, -27924937, -27924936, -27924935?\nAnswer: -27924934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 - 6*m**2 + 9\/2*m**3 + 3 - 9\/2*m = 0 for m.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/(-6))\/(1*6\/(-9)). Find the third derivative of 54*n**4 - 54*n**4 - n**2 - r*n**6 wrt n.\nAnswer: -1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17 and 145586?\nAnswer: 145603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 20708.685 months?\nAnswer: 1725.72375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a + 6. Let p(z) = 4*z + 5. Let c(m) = 5*n(m) - 6*p(m). Let i be c(0). Suppose -3*j = -2*j + 4*b - 197, i = 5*j + 4*b - 937. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-4 + -18)) + -7 + -1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48235 - 3?\nAnswer: 48232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26007148 a multiple of 811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -67*z + 4 + 155*z - 4 - 84*z. Let v(k) = -3*k - 30. What is m(v(h))?\nAnswer: -12*h - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13b84 (base 15) to base 13\nAnswer: 22ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**3 - r**2 - r. Let v be p(-1). Let b be (3\/1)\/(28\/8). Let a = 92\/91 - b. Put a, 0.3, v in ascending order.\nAnswer: v, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 27?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + u**3)*(-37*u - 1439 + 1439)*(0 - 1 - 1).\nAnswer: 74*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 336 + 244 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10178 = -s + 4*k, -5*s + 3*k - 40686 = -s. What is s rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 29 = -61. Let p be -4*-2*(-5)\/z. Solve u - 2*j = -3*u + 10, -4*j = p*u - 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011010 - 11101?\nAnswer: 100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -46605?\nAnswer: 46623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -59532681 and 70.6.\nAnswer: -59532610.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*q - 48*i**2*q + 2*i*q + 61*i wrt i?\nAnswer: 6*i*q - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-2\/5))*m)*m)**19\/(m**(-2\/3))**(2\/37))\/((m**(1\/4)\/m*m)**(-9))**45 assuming m is positive.\nAnswer: m**(250163\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.331 - -0.631. Sort 2\/7, -94, 0.4, -2, n in increasing order.\nAnswer: -94, -2, 2\/7, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29670, 29666, 29662, 29658, 29654?\nAnswer: 29650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -57*b**3 + 4*b**2 + 2*b - 2. Let i be d(4). Let j be (-28667)\/(3\/((-6)\/(-16))). Let m = j - i. What is the common denominator of m and 83\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)*x\/((x\/(x*x**(-3)*x))\/x*x))**(-32)*((x*(x*(x**(-1)\/x*x)\/x)\/x)\/x*x**6)\/(x*x*x\/((x**(-1\/2)\/x)\/x)*x)**50 assuming x is positive.\nAnswer: x**(-281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6*u = -5*u - 34, -2 = u. Suppose 0 = 3*o + o - 184. Calculate the remainder when o is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 1078*s - 12617*s - 29.\nAnswer: -11539*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -252*m + 17. Let d(a) = 125*a - 7. Calculate -5*d(z) - 2*j(z).\nAnswer: -121*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((5002592\/115)\/28)\/(4\/(-30)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6) - (0 - (-1)\/(-3)). Let r = -0.1 - 0.5. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -948*p + 941*p + 47621. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130\/57 + 204\/95. What is the closest to -1 in f, -1\/24, -3\/4, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/805 and -187\/62160.\nAnswer: 1429680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 - 4. Let d be t(-5). Let v = d + -1544\/7. Let k be (-102)\/(-56) - 32\/56. Sort 4\/5, v, k.\nAnswer: v, 4\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, w: 1, g: 5, b: 1, e: 3}. Give prob of sequence bgeg.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 5*d - 6. Find the second derivative of 0*m**5 + d*m**5 + 6*m + 0*m wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = 10*d. Is d not equal to 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-297)\/180)\/11)\/((-1)\/4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*t**5 - 40*t**5 - 11*t**5 + (-64*t + 4*t - 16*t)*(t**2 - t**2 + 2*t**4) + (-4*t - t + 3*t)*(-4*t**2 + 4*t**2 - t**4).\nAnswer: -187*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 11:23 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3527843 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 2*d**2 + 7*d + 4. Calculate m(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*a + 342, 219 = 4*h - 4*a + 1607. Let m = 631\/2 + h. Is -31 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12330155*s + 12330155*s + 12115*s**2 to n*s**2 + y*s + r and give n.\nAnswer: 12115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 45. What is the closest to v in -2, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**3 - 10*q**2 - q - 61. Let p(a) = 3*a**3 - 10*a**2 - 3*a - 55. Let f(z) = -5*p(z) + 4*r(z). What is f(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 122, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16990243 is divided by 2831702.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/4*r**2 - 11\/2*r + 1\/4*r**3 - 14 = 0.\nAnswer: -7, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/6 - 7*z**3 - 248*z**2\/3 - 368*z - 1664\/3.\nAnswer: -(z + 4)**2*(z + 8)*(z + 26)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:03 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**3 - 15*n**3 + 956*n - 942*n.\nAnswer: n**3 + 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 2, o: 1}. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 41 + 8*c + 3*c - 54 - 10*c. Let y(r) = r - 9 - 7 - 3. Calculate -7*m(s) + 5*y(s).\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 3409.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 7.3927, -8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2547981023 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2107 by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 2*r**4 - 3*r**3 - 5*r**4 + 79 + (0 + 0 - r)*(-3*r**2 + 2*r**3 + 3*r**2) as n*r**3 + t + m*r**2 + p*r + g*r**4 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/26 and -101\/338.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 6, -4*k + 5*q = -294 + 260 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7403, 1, 87.92?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from bbbbbbtbbbteteebtebb?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/7, 4, -2\/15, -190, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 3, s: 1}. Give prob of sequence smw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (132\/220)\/((-2)\/(-5510)) + -9.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 825 and 21?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -99*r**2 + 5*r - 165. Let p(j) = 59*j**2 - 3*j + 83. What is 6*i(u) + 10*p(u)?\nAnswer: -4*u**2 - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2671977662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -307\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-168) + 21\/(-20) - (-5 - 432\/15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10183120 + 5?\nAnswer: -10183116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**4 + a**2 + 5*a**2 + 13*a**3 - 13*a**3 wrt a.\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18581, 18570, 18557, 18542?\nAnswer: 18525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269979804 divided by -3.\nAnswer: 89993268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 101248*w**2 - 1281394688*w.\nAnswer: -2*w*(w + 25312)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + ((sqrt(119) - sqrt(119)*-1) + sqrt(119))*6)\/(-1*sqrt(252) + sqrt(7)).\nAnswer: -19*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.456171946 rounded to 2 decimal places?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4444695 and 3870?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165563, -165486, -165395, -165284, -165147, -164978, -164771, -164520?\nAnswer: -164219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**3 - 42387*c + 42387*c.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*h - 98 = -326. Let l(a) be the first derivative of -14\/3*a**h + 3 + 0*a**2 + 9*a. Find the first derivative of l(v) wrt v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -17) + 19 + -55?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -1)*1 - (sqrt(500) + -4 + sqrt(500)*3))*6 - (5 + sqrt(500) + -2 + sqrt(500) + sqrt(500) + (sqrt(500) + 2 + -3)**2).\nAnswer: -486 - 190*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37\/21 - 3\/7. Let b = -1.30555 + 2.30555. What is the nearest to -2\/9 in w, b, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 2991?\nAnswer: 11964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**4 + i**2 + (0 - 2 + 4)*(-149 + 141 + 2*i - i)*(-3*i**3 + 2*i - 2*i).\nAnswer: -5*i**4 + 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 1, a: 3, w: 4}. Give prob of sequence aaan.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -1797160, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7469, 14938, 22407, 29876?\nAnswer: 37345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by -9 - (-4 + -6 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcgg when four letters picked without replacement from {q: 4, x: 2, g: 3, j: 2, c: 2, z: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 26. Solve -5*i - r = 0, a*r - r = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-8) + 6 + 29\/((-87)\/27).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-129)\/903)\/(25\/70). Which is the closest to i? (a) -4 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 34 = -20*z + m, 7 = -z - 3*m. Calculate the remainder when 2734 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h. Let d(k) = k**3 - 3*k**2 - 2*k. Let o be d(4). Let u(b) = 2*b + 6*b - 3*b. Let p(m) = o*z(m) + 5*u(m). Let c(t) = 3*t**2. Determine c(p(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-12) + (-1)\/3. Suppose 0 = -4*j - 2*p + 4473 + 24319, w = -j + 2*p + 7208. Round j to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 26 = -1. Suppose -3*w = 2*i - 6, -2*i = -k*w + w - 6. Suppose 0 = 2*x - 4 - 0, 3*t + 5*x - 16 = w. Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**7\/42 - m**6\/8 - m**5\/12 + 5*m**4\/8 - 3*m**2\/2 + 10*m - 157. Let l(f) be the second derivative of a(f). Factor l(p).\nAnswer: 5*p*(p - 3)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132011240 + 3?\nAnswer: -132011232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.7. Let k = 6.1 + -6. Let b = 0.31 + -0.01. What is the nearest to 0.1 in b, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134249186.\nAnswer: 2, 401, 167393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5 + 7 + 0 - 96*w as f*w + q and give f.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 2\/7 (b) -0.005 (c) 1.82 (d) 3 (e) 4 (f) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676270500 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from moooooamoyommommmoov.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 + -74. Let v = 170 - j. Let i = v - 79.99922. Round i to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9893 or -538.5?\nAnswer: -9893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 154, 189, 260, 379, 558, 809?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 + 102\/(-90) - (-2436)\/45 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v + 2 - 2 + 0 + 742*v.\nAnswer: 770*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 z when four letters picked without replacement from {f: 2, z: 2, y: 2, j: 2, g: 3, o: 8}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 56 = -a. Suppose -4*u + 4*v + a = -u, 4*u + 4*v - 28 = 0. Let r(m) = 6*m + 17. Is r(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-6 + 2 + 0 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 + 6*w + 6. Let o(h) = h**2 + h + 1. Let s(c) = 6*o(c) - u(c). Let r(j) = 13*j. Give r(s(z)).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4 - 12300*x**3 - 49085*x**2 + 86010*x + 122800 = 0.\nAnswer: -2456, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-30)\/25)*-10. Determine x, given that -19*x**b + 58*x**2 - 25*x - 19*x**2 - 25*x**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274 minus 120.96960663?\nAnswer: -1394.96960663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 4577740*o**2\/7 + 2619449205176*o\/7 + 15716860030128\/7.\nAnswer: 2*(o - 1144438)**2*(o + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = -5*d, 4*f - 5 = 3. Suppose -d = -6*g - 39. Let x(w) = w**2 + w - 1. Let i(t) = 9*t**2 + 6*t - 7. Calculate g*x(j) + i(j).\nAnswer: 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 555 and 55.\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11*b**2 - 69*b + 7. Let x(q) = -5*q**2 + 34*q - 3. What is 3*a(i) + 7*x(i)?\nAnswer: -2*i**2 + 31*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 347625036 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/132)\/((-35)\/((-2205)\/14))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41013117 + -0.13?\nAnswer: -41013117.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa8983 (base 11) to base 12.\nAnswer: -7136b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 14. Let s(m) = -m**3 + 16*m**2 - 7*m + 106. Let x be s(16). Calculate q(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:03 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -192, 1, -184 in increasing order.\nAnswer: -192, -184, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, a: 1, j: 3, e: 1, k: 4, d: 4}. Give prob of picking 1 k and 2 j.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 1348541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:11 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.694521 to 2 dps.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m**3 - 4*m - m**3)*((m + 4 - 4)*(-m - 3*m + 3*m) + 6*m**2 + 0*m**2 - 3*m**2).\nAnswer: 2*m**5 - 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -0.2. Let h = 42 + -41.7. What is the second biggest value in -2\/3, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*k - 12, -4*k - 2*h + 0 + 8 = 0. Let x be -2*(k - 1 - 1). Suppose 0 = 13*q - 11*q - d + 1, 54 = 6*d. Solve -q = r - f, r - x*f = -r - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 156209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/13 + 1674*s\/13 + 3356\/13.\nAnswer: -2*(s - 839)*(s + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2 - 144\/144.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 12*s - 13. Suppose -16*d - 14 = -78. Let f be v(d). Solve -5*j = -3*j - 4*u, 0 = f*j - 5*u - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let p be k(0). Let f(c) = -15 - 3*c + 4*c - 3*c**3 + 2*c**3 - c**2 + 14. Let w be f(p). Which is smaller: w or 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106*p - 45 + 10*p + 342 + 41*p wrt p?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3833 - -3958. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 0*o + o**2 + 0*o**3 + 0*o**4 - 14 + 7\/5*o**5. Find the second derivative of n(l) wrt l.\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.7598 to one dp.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-224)*(-1)\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1399\/4 (b) -0.1 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 5*u**4 + 3*u**4 + (u**2 - 2*u**2 + 2*u**2)*(-u**2 - 3*u**2 + 3*u**2) - u**4 + 0*u**4 + 2*u**4 + 4*u**4 + 7*u**4 - 19*u**4 + u**4 + u**4 - 5*u**4.\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 18, 1, 2181?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*2\/20)\/((-84)\/(-30)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/221712 and 73\/1810648?\nAnswer: 10863888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.109.\nAnswer: 0.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3213719, 6427564, 9641409?\nAnswer: 12855254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2\/3 (c) -3 (d) 209 (e) 2\/5 (f) 46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + 0*v**3 - 749*v - 181 - v**3.\nAnswer: -v**3 - 749*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 23, 10, -19, -70, -149, -262, -415?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/c**(-1\/13)*((c\/c**7*c)\/c)\/c*c*c*(c*c*c\/(c*c**(4\/3)))\/c*c)**(-17) assuming c is positive.\nAnswer: c**(6800\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2593)\/18151)\/(2\/(-350))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 - 6*a**2 + 9*a**2 + (-a + 3*a - a)*(0*a - 3*a + a) + 34*a**2 - 39*a**2 + 3*a**2 + 231*a.\nAnswer: 6*a**2 + 231*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 5, i: 5}. Give prob of sequence ix.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v + 21. Find the third derivative of 21*d - 2*d**3 - v*d + 2*d**2 wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**4\/24 + s**3\/3 + 9*s**2. Suppose -2*h + 5*d - 7 = -38, 3*d = -4*h - 3. Suppose 0 = h*o + o - 32. Calculate y(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 31. Let x = -9 - s. Let h be (-1)\/x + 116\/408. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -29, -51, -75, -101?\n\"Answer: -k**2 - 17*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -109 - (364 - 367) - 28?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9419462147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1515*m**5 - 3*m**4 + 4844*m**2 + 82416640*m wrt m?\nAnswer: -30300*m**3 - 36*m**2 + 9688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156942341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 6 = -5*w, 3*r + 6 + 2 = -2*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c2b7 + 63?\nAnswer: -c254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 3. Let q be a(-9). Suppose 0*t + 34 = 3*x + 2*t, -2*t - q = -2*x. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/x**0)**29\/(((x**(-8)*x)\/(x**(-1\/6)*x))\/(x**(-1))**(-10\/9)) assuming x is positive.\nAnswer: x**(-239\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -9.9 (c) 7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*g + 1, -c = -6*g + 8*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*c + 24 + 419, 0 = 3*d + 15. What is the highest common factor of 16 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 489.833 + -5.663. Let j = t - 482. Let r = j + -2.17436. What is r rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031204 (base 5) to base 6.\nAnswer: -213503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 0, 200.06, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-27))\/((-4)\/24)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 940 + -985. Is g < -318\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58574.376 microseconds to hours.\nAnswer: 0.00001627066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1767 - 1770. Which is the closest to w? (a) 0.3 (b) -2\/3 (c) 0.02 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 9:28 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*k - 30*k - 35*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.996 and -54.\nAnswer: -161.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -14, -1, -3.\nAnswer: -14, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.964985 + 0.143445. Let f = -0.13 - -1.24. Let q = o - f. Round q to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -4.99. Let w = 738\/5 + -148. Which is the second biggest value? (a) g (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2971609.557 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 79 (b) -314 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:51 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 84 = 10*x. Solve 2*z - 4 = -2*z, 3*z + 5 = x*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2866 - 2862. Let o(k) = -3*k**2 - 2*k - 6. Let l(u) = 2*u**2 - 2*u + 2*u**2 + 7 + 4*u. Let n(r) = b*l(r) + 5*o(r). Determine n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36279*f*w**2 + f*w - w + 92629 wrt w?\nAnswer: 72558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83612786 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36433 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4 = -2*r, r + 10 = 5*p + 3. Let g be 0*2\/(r - -1). Suppose 0 = -l - g*l + 6. Solve 2*z + 4*a = l*a, -3*a = -5*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4*m + 176, 40*p - 37*p + 0*m + 107 = -2*m for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in decades?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**3*v**3 - 3*q**3*v + q**2*v**4 - 5*v**2 + 43*v wrt v?\nAnswer: -24*q**3*v + 12*q**2*v**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 0)**2*6.\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11051592679 + -1416.\nAnswer: -11051594095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156104, -156106, -156108?\nAnswer: -156110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:12 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 8) in base 16?\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 109, 123, 137?\n\"Answer: 14*w + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/3 + 2041*a**2\/3 - 34408*a\/3 = 0. Calculate a.\nAnswer: 0, 17, 2024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 91 = -136 + 62 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51\/2? (a) 5 (b) -2\/5 (c) -0.5 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4049434?\nAnswer: 2, 17, 119101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 25 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:45 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 32711490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3282465253 rounded to 5 dps?\nAnswer: 0.32825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 0 + 10 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:50 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/80 and -5\/4656.\nAnswer: 23280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5601307\nAnswer: -4\/5601307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40\/7 - 2393\/420. Let o(y) be the third derivative of 4*y**2 - 1\/525*y**7 + 0*y + 0*y**3 + h*y**4 + 1\/150*y**5 - 1\/300*y**6 + 0. Factor o(b).\nAnswer: -2*b*(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/29784 and -97\/2006.\nAnswer: 1757256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -3, 0.4, 3, 1\/68.\nAnswer: -3, -0.03, 1\/68, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33463 or -33465?\nAnswer: -33463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2.5. Let p = z - 0.5. Let l = 23.7 + -24. Is p less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4 - 25 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 less than 5696\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 950.84133 rounded to the nearest ten?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -2.3\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -233 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 50.6?\nAnswer: 10.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose 0 = -2*u + 2*h + 14, 4*u + 5*h - 7 = n*h. Calculate the least common multiple of 1 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -501 and 5?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 6. Calculate the remainder when 35 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211695645 to the power of 1\/2, to the nearest integer?\nAnswer: 14550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z**(-1\/7)\/z*z))))\/z**7*(z**0)**(-38) assuming z is positive.\nAnswer: z**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44617 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (60*(-40)\/60)\/(1*(-78)\/3*1)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 3526456.\nAnswer: 1410582.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 65*w - 29. Let p be b(32). What is the third derivative of -932*c**2 - 2 + p*c**3 + 1 - c**5 + 935*c**2 wrt c?\nAnswer: -60*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 3*o**2 - 3*o + 13266. Does 110 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (46\/(-115))\/(((-4)\/5)\/(-2)). Is p at least 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20.5 (b) 2\/7 (c) -151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 18*f - 60. Give m(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -5 (c) 23 (d) 3684 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x + x)*(7*x**3 - x**3 - 4*x**3) + x**4 + 3*x**4 - 2*x**4.\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773*g**2 + 239*g**2 + 579*g**2 - 931*g**2.\nAnswer: 660*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -296138 bigger than -296138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6497 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 152 = -3*p + 12, -3*f + 191 = -4*p. Let l = 45 + p. Is 3 + -5 + l + 755 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 134492, 134515, 134554, 134609?\n\"Answer: 8*d**2 - d + 134485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:32 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 20*j**2 - 26*j - 28. Calculate the least common multiple of 80 and i(4).\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*q**3 + 1843*q - 38086 wrt q.\nAnswer: 21*q**2 + 1843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -750, -1514, -2292, -3090, -3914, -4770?\n\"Answer: -p**3 - p**2 - 754*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004 = -16*w + 1036 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3074130?\nAnswer: 2, 3, 5, 34157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*w**2 - 34*w**2 - 42*w**2 + 39*w**5 - 11*w**5 wrt w?\nAnswer: 1680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaanaanaaa. Give prob of sequence ann.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 76.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let w(o) = -2*o. Calculate 8*q(f) + 5*w(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - 0. Let c = 0.9 + 0. Let v = c - -0.1. Which is smaller: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - v = -2*d - 3, -3*v - 25 = -5*d. Let u(g) = -5*g + 3*g**2 - g**2 - 7 - d*g**2 + g**2. What is u(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from yyyyftwymwwyfmwyttf.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 2. Let s be f(4). Let q be 16\/(-6)*(-119)\/s. Let m = -23 - q. Is 0 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88.8 and -12?\nAnswer: -1065.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t - 257. Let l be c(5). Calculate the common denominator of 9\/16 and 209\/48 + (l\/24 - -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -137400 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34438, -68875, -103312, -137749, -172186?\nAnswer: -206623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u**2 + 2*u + 2. Let t(o) = o**2 + o + 1. Give -j(i) + 2*t(i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 12*f - 18. Is 31 a factor of h(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*v**4 - v**3 - 3*v + 12*v - 6*v + 3*v**2 as j*v**2 + k*v + w + o*v**4 + r*v**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -633 - -14?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 10251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -581*q - 25576. Determine x(-44).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-420)*-6*-4767010 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 120\/(-160)*(-4)\/(-5). Which is the nearest to 0.079? (a) n (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m\/(m*m\/(m*m**(-3)*m)))\/m*m)**(-48))**13 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83293 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 next term in 7382, 14787, 22204, 29639, 37098, 44587, 52112?\nAnswer: 59679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x + 289. What is b(40)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t = 15*t + 66 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 722735533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-48762657.\nAnswer: -146287971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) - (sqrt(315)\/sqrt(5))\/sqrt(9)) + 1 + ((sqrt(7) + -3 - sqrt(7)) + 5 + (sqrt(1008) - sqrt(1008)*-1))**2.\nAnswer: 96*sqrt(7) + 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 2, -2\/3, -0.02.\nAnswer: -2\/3, -0.02, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + sqrt(612) + 4)*1)**2.\nAnswer: 72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-36))\/(435\/(-696)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*r + 53, 2*o + 310 - 342 = -3*r. Let n = -16 - -321. Calculate the remainder when n is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2655.7 times -2359\nAnswer: 6264796.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -4231 and -4453 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18713 - 484?\nAnswer: 1823a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2239779?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 - 3. Let q = -41 + 40. Let m(v) = v**2 + v. What is q*u(p) - 2*m(p)?\nAnswer: 2*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**6*p))\/p**(2\/27))\/(p\/((p\/(p\/(p*p\/p**(-2\/11))))\/p*p*p)*p**(-1)) assuming p is positive.\nAnswer: p**(-859\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:59 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = 305 - 305 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 5, e: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.3 + -6.2. Round x to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11235991 is divided by 178349.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -21 - -14 - 19\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 2 r when four letters picked without replacement from ymyhrryyhhhm.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvssshsvhsvslsvll. Give prob of picking 1 h and 1 v.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 8*b**2 - 147*b - 35. Let j be k(9). Solve -4 = -j*s + 18*s + m, -2*m + 4 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3332528 != -3332529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 20, -5*a + 0*a + 4*g = -24. Suppose a = -4*f - 4*v, -4*v + 5 = -9*v. What is the least common multiple of 16 and (f - 8)*(-6)\/9?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 2*r + 1 - 0, 5*k - r = 20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (10 - 4) + 7 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5882, -11785, -17712, -23675, -29686, -35757, -41900?\n\"Answer: -2*y**3 - 5889*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 303?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55059*c - 14424*c + 69485*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -938604 divided by -9202\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 199, 303, 407?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2577*v + 152006. Calculate r(-59).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n + 140*n - 18*n.\nAnswer: 107*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22409847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*q - 553 + 241 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 4. Suppose 0 = -500*f - 11 - 805 - 184. Let d(j) = j**2 - 3. Let p be d(0). Let r(m) = -4*m + 5. Determine f*r(k) + p*z(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*2*(-57)\/(-342)*(-81)\/(-6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - 65 - (-8 - (0 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/o**(-12\/13))\/o**(-2\/21))\/((o*o\/o**(-19))\/o**(-4\/5)) assuming o is positive.\nAnswer: o**(-22907\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/2 - 1608*m**4 - 217359*m**3 - 3723672*m**2 - 7015845*m\/2 = 0. What is m?\nAnswer: -103, -19, -1, 0, 1195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227524 divided by 20684.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4*l - 26*b**3*l - 40*b**3 - b**2*l - 13*b**2 + b*l - 43*b wrt b?\nAnswer: 48*b*l - 156*l - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 7, l: 2, y: 1, p: 1, g: 4}. What is prob of picking 2 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 4.4\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - f = 17*j + 2342, -4*f = -j + 476. Is 36 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -394, -604, -832, -1084, -1366, -1684?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from egegeeeee?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 2\/2*(-66)\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3 - (165\/(-42) + 1)). Let j(n) = -n**3 + 13*n**2 + 17*n + 22. Let f be j(g). Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(704)*1 + sqrt(704))*3)**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30130 and 511520.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 410\/41 - (-4 + 13). Sort 32, p, -1, 2, -6.\nAnswer: -6, -1, p, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 498, 7, -3, 1, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -112924 divided by -85?\nAnswer: 112924\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118343000 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -44. Calculate the remainder when p is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4*n - 3*n)*(2*n - 2*n + 2*n) - 3*n**2 + 3*n**2 + 3*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*b + 51*b - 31*b**2 + 51*b.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddddxd. Give prob of picking 1 d and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 + 1 = 0. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from twhhwwhwhth.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - z**2 + (2 - 2*z - 2)*(-3*z + 5*z - 4*z) + 3*z - 3*z + z**2 + z**2 - 4 + 4)*(5*z - 6*z + 2 - 6)*(-2 + 0 + 0).\nAnswer: 10*z**3 + 40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 843, 851, 861, 873, 887?\n\"Answer: k**2 + 5*k + 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -5, 2, 27, 1.2 in descending order.\nAnswer: 27, 2, 1.2, -0.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.02 (c) 2\/5 (d) 6\/1061 (e) -6\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -7, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 10*p**2 - p - 2. Let l be f(-10). What are the prime factors of -3 + l\/2 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/12 + 2*t**3 + 6*t**2 - 2*t. Calculate the remainder when 45 is divided by z(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -2*y**3\/3 + 7*y**2\/2 - 4*y - 3. What is h(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.696 + 3650.12.\nAnswer: 3650.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*3*(-2)\/18 + 116. Calculate the greatest common divisor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 + -126. Let z = -71 + 56. Let m be ((-8)\/50)\/((-6)\/z). Which is the closest to m? (a) -1\/14 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (2 + (-8)\/4). Calculate the smallest common multiple of -2*(2 + u) + (-130)\/(-5) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 24456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 8*a - 175. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 8. Let k(x) = -x + 5. Let z be k(n). Is 15\/z*(-1218)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from wewwwwewewwwwww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 781637.7 months in millennia?\nAnswer: 65.136475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 27. Suppose -2*q = -6*q - 140. Let j be (-7)\/(q\/15)*-5. Let m be w(j). Let n(s) = s**2 + 1. Calculate n(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 5*t + 3. Let q be m(-4). Let d be (-12)\/42 - 124\/q. Let l = d + 17. Is 2\/5 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*n - 2*v - 3, 21 = 3*n - 4*v. Suppose -n*i + 1 - 4 = m, 0 = m - i - 13. What is the remainder when 35 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12074?\nAnswer: 2, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 7*n**2 - 5*n + 9. Let o be j(-9). Suppose -o = g - 3*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.883*-0.04\nAnswer: -0.11532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 16. Let r(p) = -6*p + 86. Let y(w) = -3*r(w) + 16*s(w). Let g(h) = 3*h - 2. Give 6*g(a) - 5*y(a).\nAnswer: 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55275127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 27*f + 6. Let j(m) = -6*m**2 + 53*m - 14. Give 3*j(d) + 7*k(d).\nAnswer: -4*d**2 - 30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17383306, 17383307, 17383308, 17383309, 17383310?\nAnswer: 17383311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1891 + 3561 = 69*h + 119*h for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.93 - -17. Let m = -7.83 - 0.17. Let f = 7.9 + m. Which is the closest to 0.1? (a) f (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086696?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -849.389 to the nearest 10.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.1, -481, -4, -5 in decreasing order.\nAnswer: -0.1, -2\/5, -4, -5, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65, -66, -77, -104, -153, -230, -341?\n\"Answer: -v**3 + v**2 + 3*v - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -23764?\nAnswer: -23756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3682.4 times 5?\nAnswer: -18412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 296589060 less than -15?\nAnswer: -296589075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let r(z) = -621*z + 16593820 - 16593820. Give r(x(m)).\nAnswer: 621*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 63095809*-0.03\nAnswer: -1892874.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -1\/4, 0.15 in descending order.\nAnswer: 0.15, 0, -1\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92087050 to the power of 1\/2, to the nearest integer?\nAnswer: 9596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -303, 3 in decreasing order.\nAnswer: 3, -3, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*q**2 + 2 + 62*q**2 - 2*q - 1 - 3 to the form j*q + x + s*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**3 - 1. Suppose 0 = q + 1 - 2. Let f be n(q). Let u be (((-12)\/f)\/2)\/((-4)\/18). Is 2 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by -54.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20011021 (base 3) to base 12.\nAnswer: -2721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-39)*18\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:31 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) -2\/7 (c) 0 (d) -912\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {q: 6, u: 4, o: 2, z: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 - -5.3. Let v = h + -8. Let y = -2 - v. Which is the closest to 0.2? (a) -1\/7 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - o + 9*o - 4*o - 9 - 7*o. Let a(c) = c + 4. Give 13*a(l) + 6*b(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-9)*(-18)\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4598 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3504, 3496, 3474, 3432, 3364, 3264, 3126?\nAnswer: 2944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -419 - -425. Suppose -2100 = -j*q - q. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -520, -518, -516?\n\"Answer: 2*u - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -64\/22311?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0*x - 13*x**2 - 1\/20*x**5 - 3 - 1\/8*x**4 + 6*x**3. Suppose m(y) = 0. What is y?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:56 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -8 (c) 0.024 (d) 5 (e) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414176304 divided by 103544076?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*f = 363 - 391, 2*f - 19 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o - u - 3855, 0 = -2*o + 2*u - 1920. Let c = o + 1881\/2. Let l = 3929\/170 - 262\/17. Calculate the common denominator of l and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vddd when four letters picked without replacement from {v: 6, d: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15273795 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.064467 and 0.2?\nAnswer: 0.0128934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(432) - (-4 + sqrt(432)))*-3 + (sqrt(432) - (-1*sqrt(432) + -3)) + -3 + sqrt(432) + -2*sqrt(432))**2*-4.\nAnswer: -2128 + 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 0.01 (c) -1\/6 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/8)*k*k**(-8) assuming k is positive.\nAnswer: k**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:19 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*c = -28, 5*g - 145*c + 150*c = 0. Solve -12*i - g = -13*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(5\/2)))\/w)\/(w**(-7\/2)*w))**(2\/71)\/((w\/(w\/w**(2\/5)))**(2\/153)\/(w**(-1)\/w)**(28\/9)) assuming w is positive.\nAnswer: w**(-110708\/18105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -10.6. Let u = 9 - v. Suppose 0 = 5*r - 5*t - 15, 5*r + t + 4 = -11. Which is the nearest to u? (a) -0.1 (b) r (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -11. Calculate the highest common divisor of 198 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33531 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 10*l - 24. Suppose l*m - 2 = 16. Let d be m + -1 - (7 - 6). Which is the closest to -0.1? (a) -2\/9 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.44384ml?\nAnswer: 0.04144384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 113, 198, 317, 470, 657, 878?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4032243011 (base 5) to base 3.\nAnswer: 120012212122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3683565.4432 + -5.\nAnswer: 3683560.4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70\/30*26166 + (1 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/((-7623)\/(-22)))\/(22\/99).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33324 (base 6) to base 16\nAnswer: -1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-950)\/(-1425))\/(4\/6))\/(1\/(-9))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*d + 36*d + 28*d)*(-1 + 1 - 3)*(1 + 2 - 2).\nAnswer: 135*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -732 divided by 2?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -15556 to the nearest one hundred.\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361779 (base 10) to base 13.\nAnswer: c8892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 31*t + 3 = 26*t, 2*l + 2 = 2*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80590 = 408*n - 32854 for n.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**5 - s**4 + 183*s**2 + 78*s - 16 wrt s?\nAnswer: 100*s**3 - 12*s**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2984 and 10312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.58 * 4158\nAnswer: -2411.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-1425)\/(-76))\/((-3)\/(-168)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**6\/180 + 67*m**3\/6 - 17*m. Let p(x) be the second derivative of t(x). Let d(w) = -w + 19*w**2 + w. What is p(d(u))?\nAnswer: 722*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1832, 4 in ascending order.\nAnswer: -2, 3, 4, 1832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -1038, -1536, -2012, -2460, -2874, -3248, -3576?\nAnswer: -3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - -4*(2*sqrt(144) - sqrt(144))) + sqrt(144))\/((sqrt(54)\/sqrt(2))\/sqrt(9)*-5).\nAnswer: -24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.5967 to 1 decimal place.\nAnswer: 200.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 300 = -25*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8190802*y**3 - 45408522*y**2.\nAnswer: -49144812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 34*z + 53. Give d(-32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1620 by 5.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 11 - (-5 + 6 + -9) - 19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5518 and 104563.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35237, 38859, 42481, 46103, 49725?\nAnswer: 53347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0179 - -0.0179. Let u = -419\/13 - -32. What is the nearest to z in u, 2\/3, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 420.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9526 + -0.0474. Suppose 7*m = 4*m - 18. Which is the smallest value? (a) d (b) -3\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9718 - -9738. Solve -4*j - 3*t - l = 0, -4*j - 11*t - 52 = -0*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -297, -302, -309, -318?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 7.2. Let w = -2.2 + d. What is the third biggest value in -2, 1\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) -5 (b) -3 (c) 0 (d) 0.007 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i\/i**10)\/(i*i*i*i\/(((i*i**(-1))\/i)\/i)*i*i*i**(2\/27)) assuming i is positive.\nAnswer: i**(-542\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 5*r - 8*r + 18*r. Let h(x) = -5*x - 28*x + 23*x. What is q(h(j))?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -6*j**3 - 516*j**2\/7 - 1278*j\/7 - 324\/7 = 0.\nAnswer: -9, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 14\/(-91) - 1252\/(-26).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/3 + 269*m**2\/3 + 3056*m\/3 + 2240 = 0.\nAnswer: -8, -3, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.148 - 0.248. What is the closest to 0.2 in v, -1.1, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 2*q, q = 2*o. Factor 11*g**o + 42*g + 20*g - 38*g + g**3 + 3*g**2.\nAnswer: g*(g + 2)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -1.3. Let o = -35 - -34.43. Let m = 6.43 - o. Is m greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.014075 + 61.983075. Let x = -62 + p. What is x rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5)*u\/(u*u*u**3)*u)\/(u\/(u*u\/u**(1\/2)))**(1\/4) assuming u is positive.\nAnswer: u**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*t**3*v - 2*o**3*t**2 - 73*o**3*v + o**2*v - 6*o*t**3*v + 2*t**2*v wrt t?\nAnswer: 12*o**3*v - 36*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 10*v**2 - 6*v + 1. Let o be l(-5). Solve 37*q + 24 = o*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11158*c**3 - 26*c**2 + 12 wrt c.\nAnswer: 66948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvnjvvnnvv. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2943953?\nAnswer: 887, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*6\/15 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(44\/40)*(38\/228)\/(6\/(-60))\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + -6 - (-12 + 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 620.6 * 15.\nAnswer: 9309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r - g + 7 = 0, -2*r = g - 3. Suppose 1 = -o + r. Suppose 12 = 5*u - o*d - 10, 3*d = 2*u - 16. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*a + 1540*a = 507*a + 467*a + 4559 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/201 or 1?\nAnswer: 4\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -155649 and -155211 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77154165 by -11.\nAnswer: -7014015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r - 97*r + 784*r**2 - 1573*r**2 + 784*r**2 in the form l + x*r + a*r**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-157)\/((-9263)\/(-767)))\/(2\/12).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1850*l = 1936*l + 9460 for l.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2267*a = 2262*a + 55, 3*x - 5*a + 49 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 45636.579 to the nearest one hundred.\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-63))\/((-2)\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64200290 and 5390?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2, 1249?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 + -161. Let v = -39 + d. Let b(u) = -u**3 - 11*u**2 - u + 1. What is the remainder when v is divided by b(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -65.4, -2\/290251, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v + 8. Let o be g(6). Suppose 2*f = -o*f - 68. Let q = f - -12. Put 1, q, 5 in descending order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -2864, -2\/15, 47\/5 in descending order.\nAnswer: 47\/5, -2\/17, -2\/15, -2864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:34 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.1 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s = -8*s - 10*s - 11, -5*s = -4*r - 55 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8606004?\nAnswer: 2, 3, 11, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 414714024 by -23039668.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p**5 - 1\/40*p**6 + 2*p**2 + 0*p**3 + 0*p + 0 + 1\/24*p**4. What is z(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (881\/(-3))\/(81\/110943). Let q = 401098 + b. Let v = q + 1126. Find the common denominator of v and -27\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Let a(m) = -7*m**3 - 7*m - 5. Let j(u) = u**3 - u**2. Let f(w) = -a(w) - 6*j(w). Let z be f(-4). Solve -y*b + b = -z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195722, 195186, 194296, 193058, 191478?\nAnswer: 189562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 1409880.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 207, 177, 149, 123?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 2875, 3, 114 in descending order.\nAnswer: 2875, 114, 12, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {j: 2, d: 1, n: 2, f: 4, c: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*m*r + 15268000*m - 238626*r wrt r?\nAnswer: -23*m - 238626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427214.\nAnswer: 2, 3, 79, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204189 and 3480?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -73736*m. Let j(c) = -2*c. Determine d(j(b)).\nAnswer: 147472*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + (-66)\/4. Let d be 8\/(-6) + s\/(-48). Let b be (d + -2)\/((3\/2)\/(-3)). Solve b = l - 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 + 8*t**2 + 6*t - 1. Let u(v) = -v**3 + v**2 + v. Let f(i) = 5*u(i) - w(i). Let s be f(-2). Which is the closest to 0.1? (a) s (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*n - 2, -5*n + 4*n = 5*k - 52. Let t(l) = -72*l + 4540. Calculate the remainder when k is divided by t(63).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.034 - -0.244. Let s = -0.79 - h. Is -0.6 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.026, 3\/10, 1\/2526 in descending order.\nAnswer: 3\/10, 0.026, 1\/2526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 1920*v - 320364. What is p(215)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -21. Which is the fourth biggest value? (a) -1\/4 (b) 3.1 (c) 0.5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 greater than 17\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -17 + (-22 - (4 - 30)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80209*d**2*f**2 + 23*d**2 - 2*f - 536 wrt f.\nAnswer: -160418*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1222942 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/57 and 119\/912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 c, and 1 h when three letters picked without replacement from hhhhhcccwhhww?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -18. Let d be 2 - -1*(-9299994)\/r. Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.865625 or -1?\nAnswer: -0.865625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 41\/(-2)*(-1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -1\/112*t**8 + 0*t**6 + 1\/12*t**4 + 0 + 0*t**7 + 0*t**5 - t**2 + 0*t**3 + 0*t. What is the second derivative of d(z) wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45878587?\nAnswer: 45878587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010001011 (base 2) to base 9.\nAnswer: 7822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -7 + 2*z - 68\/3*z**3 + 578\/9*z**2 + 23\/36*z**4 - 1\/180*z**5. Suppose h(f) = 0. What is f?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 + 39 + 39 + 2006*z + 178*z - 78 in the form b + a*z**2 + f*z + x*z**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 10) in base 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -147*d**2 - 137*d**2 + 489*d**2 - 118*d**2 - 145*d**2. Let p(o) = -o**2 - 61*o. What is p(j(v))?\nAnswer: -3364*v**4 + 3538*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a89 - -1b8?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124671937 or 124671936?\nAnswer: 124671937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.063 (b) 9 (c) -4 (d) 6 (e) -2\/19 (f) -28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/144173?\nAnswer: 1\/144173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.4445 and -2.24605.\nAnswer: -6.69055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727555111 to the nearest integer?\nAnswer: 26973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*k - 6. Solve 0 = 3*b - 9 - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:43 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 96*v - 198. Let k(l) = 6*l**2 - 288*l + 596. Let o(f) = 3*k(f) + 10*m(f). Let i be o(45). Is 536\/7 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - s - 19 = -0*j, 0 = j - 2*s - 13. What is the second derivative of r + 0*r - r - 5*r**5 - j*r wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 5:40 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12389326591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(14*v**4 - 165 + 165).\nAnswer: -14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-4 + 6 - -2). Solve 8 = 2*b - 4*c + c, 3*b + 4*c = -r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**3 + 10*x**3 - 35*x**3 - 2*x to n*x**3 + u*x**2 + m*x + c and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2300631 - 11*o - 2300631.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 9*q - 52. Let x(z) = -z**2 + 5*z + 13. Is 4 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1031*r**3 + 7*r. Let s(u) = -518*u**3 - 3*u. What is 2*l(h) + 5*s(h)?\nAnswer: -528*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - -1*(-115)\/30. Suppose -4*d + 2*z = 12, -3*d - 17*z = -13*z + 9. Which is the closest to -1? (a) -5 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 14*q - 28*q = -108. Solve 4*y + 65*p - 63*p = -6, -5*y - q*p - 12 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 73333377.\nAnswer: 73333377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r. Suppose r*d - d = -11. Let t(s) = 5*s + 118. Let p be t(-6). Calculate the greatest common divisor of d and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + -1)*(3 + -2). Suppose 3*j - 4*u + 108 - 345 = 0, -2*u + 338 = 4*j. Let h = -35 + j. Calculate the greatest common divisor of h and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45704079 to the power of 1\/2, to the nearest integer?\nAnswer: 6760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = g - 155, 5*n + 13*g - 193 = 11*g. Calculate the greatest common divisor of 15 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-140)\/21*(-122)\/183.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -531546369.000143 - -531546722. Let l = -659 - -306. Let k = l + w. Round k to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 140*s.\nAnswer: -2*s*(s - 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 19. Let r(g) = g**3 + 5*g**2 - 1. Let i be r(y). What is the second derivative of i*h**2 - h - 14*h**2 + 5*h wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -23*w - 50. Let y(h) = 6*h + 12. Determine -2*t(p) - 9*y(p).\nAnswer: -8*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 < -0.164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 547 + 134 = 0. Let b = -543 - -933. Let z = b + p. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfff when four letters picked without replacement from {f: 8, q: 5, j: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 4?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let o(m) = -3*m**2 + 4. Let w(x) = x**3 - 5*x**2 + 7. Let t(v) = i*w(v) - 5*o(v). What is the first derivative of t(u) wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10845?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 22 = 5*v, 363*v + 14 = 368*v + 4*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 3 + 3 + 20 + 17 + -28\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 25.9. Let x = o + -0.5. Let s = x - 0.9. Which is the smallest value? (a) 2 (b) -1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 3*m - 2. Let f = 10 + -7. Let h be s(f). What is the closest to 2 in h, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/9 + 13*t\/3 - 30 = 0. Calculate t.\nAnswer: -45, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 238684369 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**7\/42 + 19*j**6\/24 + j**5\/4 - 295*j**4\/24 + 95*j**3\/3 + 33*j**2 + 20. Factor o(n).\nAnswer: -5*(n - 19)*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 31 = 35 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1092.768 * 0.1\nAnswer: 109.2768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -o - 14 + 9, 2*g + 10 = 0. Let m be -2 + (-3)\/(3\/(-5)). Solve m*j + o = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 4*f**2 + 2. Suppose 3*c + 169 - 142 = 0. Let o(k) = -3*k**3 - 17*k**2 + k + 9. Calculate c*v(m) + 2*o(m).\nAnswer: 3*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0) + 2 + 3. Suppose 9 + 1 = 5*i. Suppose -3*t - 3*z = -18, 0*t - i*t + m*z - 6 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9735 by 885.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose 5*f - z*f = 77. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*24506)\/((65\/(-10))\/(-13)). Let k = 2940851\/60 - n. What is the common denominator of 43\/35 and k?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77984.65 centuries to months.\nAnswer: 93581580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-22))\/(2697\/(-1276))\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 13*p**2 + 16*p - 3. Let m be s(12). Suppose -m = v - 2*v. Suppose 0 = -6*j + 5*j + v. 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: Four letters picked without replacement from ykfkkkffyfff. What is prob of sequence yfyf?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*r + 170 = 4*b + 183*r, -4*b + r + 155 = 0. Calculate the greatest common factor of b and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52523241.5 rounded to the nearest ten thousand?\nAnswer: 52520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*w**6 + 179*w**2 + 34*w**6 - 204*w**2 wrt w.\nAnswer: 3480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2. Let k(z) = z**3 - 2*z**2 + z + 35. Let j be k(0). Let f(a) = -8 - 2 - 23*a + 63*a - j*a. Determine f(y(h)).\nAnswer: 5*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 24*t + 10. Let z(o) = -o - 4. Let a(l) = l + 2. Let f(r) = 9*a(r) + 4*z(r). Let i(u) = 2*u**2 - 4*u - 2. Let p be i(4). Determine p*f(n) - 3*q(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 270.2904 - 270. Round y to two decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpmmpmp. Give prob of sequence pmmm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12809 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2613 - 2615 + 242*i + 5228 - 126*i - 119*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3406 + -13.34053. Let s = l - -8. What is s rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 16 = 5*w. Suppose w*x = -2*x + 702. Let g = x + 146. What is g rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 8:46 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2291377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 - 4786*b**2\/3 - 71854178*b\/3 + 238503030610\/3.\nAnswer: 2*(b - 4349)**2*(b + 6305)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 277261195?\nAnswer: 277261190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - b - 2 - b + 0*b + 3*b + (2 + 4 - 4)*(2*b + 4 - 4) - 2*b - b + 2*b + (2 - 3 + 5)*(-13*b + 4*b - 7*b).\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.36 and -399.07?\nAnswer: 398.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3066 + 3075. Solve 3*g + 5*y - 32 = 0, 3*g - 5*y + d - 1 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*y = -0*o + 3, 2*o = 3*y - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 0)*(1 + 11 - 2)*(0*q - 2*q + q).\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -255 != -256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (208\/24)\/((-16)\/(-120)*-5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 16*v**2 - 2*v + 30. Let j be a(16). Put j, 1, 0, 2 in descending order.\nAnswer: 2, 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 94b3b - 0?\nAnswer: 94b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0, -0.01662, -5\/3, -1 in ascending order.\nAnswer: -5\/3, -1, -0.01662, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*l - 1116 = -15228 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 225?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10.34. Let z = n + -0.14. Let a be (-3)\/(-14)*4\/2. What is the second biggest value in a, z, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(3\/5))*c*c**(-5))\/(c**(2\/25)\/(c**(2\/5)\/c)))**(-3\/32) assuming c is positive.\nAnswer: c**(153\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 61 - 7 = 0. Suppose -24 = h*f - 28. Let j(n) = 2*n**2. What is j(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -116 + -1340 + 1380.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 2*f**2 - 7*f - 3. Let i(j) = j**3 + j**2 - 7*j - 3. Let k(l) = -2*i(l) + 3*t(l). Let p(v) = 2*v + 9. Let y be p(-7). What is k(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 591 + 12859?\nAnswer: 13450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3292 - -49418\/15. What is the common denominator of g and -38\/333?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/15536 and 141\/2240.\nAnswer: 2175040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*n + 66 = 0, 4*d - 3*n - 99 = -6. Suppose -3*b = -5*b + 146. Calculate the remainder when b is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erw. Give prob of sequence er.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 8:51 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c**3)*(-8 - 14 - 2)*(-230 + 230 + 20*c).\nAnswer: 480*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 + 2.41. Let u = 161 + -161.138. Let y = z - u. What is y rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 5*m**4\/12 - 11*m**2 - m. Let a(c) be the second derivative of c**4\/6 + c. Determine a(u(x)).\nAnswer: 200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -7 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 793 + -799. Let s(k) = -k - 2. What is s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -3c61e07?\nAnswer: 3c61e09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.058213 or 0?\nAnswer: -0.058213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 6*q**2 - 2*q + 3. Let g be p(5). Solve 0 = -y - y + 2*r + 4, -g = -5*y - 3*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1488*a**4 - 387*a.\nAnswer: -17856*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20668.\nAnswer: 2, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001603965075 to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125253148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 134, 147, 160, 173, 186?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9 plus 0.074366260472?\nAnswer: -12.825633739528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 856 = 992. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*v - 602, -13*v - 905 = -16*v - 5*t. Calculate the greatest common factor of 500 and v.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5601762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 4*p + 19, 5*p + 3 + 14 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -b + x + 12, -2*b + 2*x = -16. Suppose 5*j = s - 2, 0 = -2*j - 0*j - 5*s + b. Solve j = -3*w + 6 + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2450 = -4*s, -2*x + 2277 = 5*s - 779. Is 610 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -24. Let r = 0.1 + b. What is the closest to r in 0.03, 2\/13, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2516241 and 105.\nAnswer: 12581205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.088 and -1022.\nAnswer: -1022.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1015.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 774480168 divided by -1676364.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**7\/42 - o**5\/60 - 2*o**2 - 2. Let w(x) be the second derivative of r(x). What is the third derivative of w(l) wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - z - 8, -a + 14*z - 5 = 15*z. Is -20\/887 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -653 - -650. Let g = 29 - 33. What is the nearest to 0 in g, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6553 in 0.5, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4 and 117\/603170?\nAnswer: 1206340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:31 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13778*l**2 - 3110*l - 1?\nAnswer: -27556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7994.36 to the nearest ten.\nAnswer: 7990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 0*w + 0*w. Let t(c) be the first derivative of -c**2\/2 - 112*c - 4761. Determine s(t(l)).\nAnswer: l + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -1\/27 (c) 0.1446\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -4 - (4 + 0) - -5 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84867 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-2)*((-177)\/(-6))\/(-1). Let o = -211 - y. Let d = o - 122. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33087.7 and -3381.\nAnswer: 29706.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 155*r**2 + 1176*r + 1. Determine g(147).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12*f. Suppose 6 = 5*x - 4. Let t be p(x). Suppose -16 = -4*u, -t = -0*r + 2*r - 5*u. Which is the third smallest value? (a) -0.3 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - (-3 + (4 - 6)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 - 6 - n**2 + n**4 - 10*n + 2 + 12*n + 2*n**4 as i*n + c*n**4 + u*n**3 + f + l*n**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31411 (base 8) in base 4?\nAnswer: 3030021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04162 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + -5 + 2 - -17. Factor -m + 2*k - 15*k**3 + 53*k**3 - 135*k**2 + 63*k - 35*k**4 + 21*k**3 + 56*k**3.\nAnswer: -5*(k - 1)**3*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -1\/36*i**5 - 1\/9*i**3 + 1\/90*i**7 + 1\/24*i**6 + 8*i**2 - 1\/8*i**4 - 1\/168*i**8 + 0*i + 0. Suppose h(y) = 0. Calculate y.\nAnswer: -1, -1\/2, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d + 58. Suppose -11*s - 75*s = 10*s + 960. What is y(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179692 divided by 44923\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3165, -3161, -3157, -3153?\nAnswer: -3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n + 3*n - 337752 - 108551. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 + 48*t + 23. Suppose 4*u - 10*p - 40 = -9*p, -2*p = 0. Let x be h(u). Factor 0*w + 0*w**4 + 1\/4*w**x - 1\/4*w**5 + 0 + 0*w**2.\nAnswer: -w**3*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 15 = 3*b + 3*x, 3*b = 3*x + 45. Suppose 3*m = -2*c + 5, -3*m + 0*m + 4*c = -17. Suppose -f - b = -m*f. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13347303 (base 8) to base 7.\nAnswer: -34342223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/856 and -34\/97263.\nAnswer: 778104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -25. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)**14\/(z**(2\/7)*z)**(-12))\/(((z*z**(-2\/7)*z)\/(z\/z**5))\/(z*z*z\/((z**(-5)*z*z)\/z)*z**(2\/11)\/z)) assuming z is positive.\nAnswer: z**(146\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6*(14 - 14). Suppose -h - m - 4*m + 166025 = v, -2*m = -h + 165990. Round h to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1377) + -2*sqrt(1377) + sqrt(17) + 0 + 3 - (5 + -1*sqrt(17) + -2)**2).\nAnswer: 2*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/13 + 61720*f\/13 - 9496 = 0. What is f?\nAnswer: -30862, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(3*i - 4*i + 2*i)*(32*i + 13*i**2 - 32*i).\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2891006231 to the nearest integer?\nAnswer: 53768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 64 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 960282*j**3 + 31338*j**2 + j + 3 wrt j.\nAnswer: 5761692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/164, 694, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 729 and 864711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-8)*2\/10*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.625516 to one decimal place.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 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: What is the value of (-585)\/5031*((-2)\/(-15))\/((-18)\/(-54))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 0*n + n)*(-5 - 5 - 8)*(30 + 101 - 50) to the form r*n + d and give r.\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4306*x - 637*x = -148290 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4781 + 8139 = 8*a. Suppose -1301 = -2*m - i + a, i - 7293 = -5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 537472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1674 and 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j**3 - 3*j**2 + 4. Let g(v) = v - 1. Let d be g(9). Let p = -6 + d. What are the prime factors of r(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7817 is divided by 712.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0116871201 to 5 decimal places.\nAnswer: -0.01169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.01, -1, -1\/2 in descending order.\nAnswer: -0.01, -0.3, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-46)*(p\/(p*(p\/p**(-29)*p)\/p))\/p)\/(p*p**25)**(2\/51) assuming p is positive.\nAnswer: p**(-3979\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282447 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*o - 14, 3*t - 2*t = 4*o + 19. Let y be (0\/(-1))\/(6\/t). Is -2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - h**2 - 5*h**2)*(2*h**2 - 3*h**2 + 0*h**2)*(2951 - 1898 - 2353).\nAnswer: -2600*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/963 + -142\/321. Let a be -2 - (-10 - -5) - -10. Suppose -17*o + 98 = a. What is the fourth biggest value in o, j, -4\/7, 2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 4, i: 3, x: 1, w: 1, e: 2}. Give prob of sequence ip.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)*(0 + -3 + 2). Let m be -76*-2*(251 + x). Suppose -3*t = -5*t - m. Round t to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139752, 279476, 419202, 558930?\n\"Answer: k**2 + 139721*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9302.9999995831 + -9303. What is w rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4570928764280 - -12.\nAnswer: 4570928764292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from {j: 13, n: 6}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**8\/48 + 3*r**4\/8 - 7*r**2. Find the second derivative of v(u) wrt u.\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*z = 168*z + 12. Find the common denominator of -56\/15 and (-10)\/z*(-650)\/125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -2*v + 42 = v. Let k = 17 - v. Is k smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.0328624.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(12)\/sqrt(4)) + 0)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (1 - 0))\/(60\/30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Let y(g) = -408*g + 1. Calculate y(v(x)).\nAnswer: 816*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 1427*t - 1352*t. Let a(j) = 3*j**2 + 10*j - 2. Give a(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/54 and 119\/5422194.\nAnswer: 5422194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*l + 4 - 0, 2*l + 8 = 4*h. Let g be (-42)\/8 - ((-11)\/(-4) - 3). Sort l, g, -4.\nAnswer: g, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12074 * -1006.\nAnswer: -121.46444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 10*f - 12. Let w(l) = -l**3 - 9*l**2 - 5*l + 19. Let x be w(-8). Let v(c) = 2*c**2 + 13*c + 7. Let m be v(x). What is i(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012152 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (398\/32 - (187 + -177))\/(225\/(-100))?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-1\/8)*r)*r*r)**(-3)\/(((r*r\/r**4*r)\/r)\/r)**(-6) assuming r is positive.\nAnswer: r**(-195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 3*q**2 - 21*q**2 - 33*q**3 + 56*q**2 - 2*q - 33*q**2 to u*q**2 + i*q**3 + w*q + m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 3*x**2 - 7*x + 39. Let g(r) = r**3 - 24*r**2 - 53*r + 18. Let m be g(26). Is w(m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 35. What is u(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -56*z. Does 24 divide v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454533?\nAnswer: 3, 127, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22002 + 0.08002. What is the closest to 2 in -1\/6, 9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278.9339 - -0.0661. Let u = m + -278.7. What is the nearest to -2 in u, -8, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535 divided by -5.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 9 + 20 - 12*c + 5.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sst when three letters picked without replacement from {t: 3, s: 4, g: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 4*i**2 - 3*i**4)*(0*i - 5*i + 4*i) - 9*i**5 - 17*i**5 + 0*i**5 + (2 - i**5 - 2)*(0 - 3 + 4).\nAnswer: -24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166497 - 83287 + 5*o**2 - 83253.\nAnswer: 5*o**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12904555*n*u**3 + 1723*n - 14*u**2 - u wrt u?\nAnswer: 77427330*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -162162.\nAnswer: 1\/162162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11461.\nAnswer: 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 c when four letters picked without replacement from {c: 10, j: 4}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i + 1 = 0. Let p = 91\/4 - 23. Let h = 0.1 - 0.3. What is the nearest to i in 5, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnw. What is prob of sequence ww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -5. Suppose 4*h + s = 5*h. Solve 0 = h*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 14 = -r, -36 - 6 = 5*u - 3*r. Let h be (u\/(-3) - 1)*1. Let w(k) = k**2 + 1 - 1 - h. What is w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 - 128. Sort -2, 8, r in decreasing order.\nAnswer: 8, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 21*i**2 - 68*i - 573. Give m(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l - 1310. Let v = 4221 - 4197. What is the remainder when l is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1343 or -1159?\nAnswer: -1159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) 24.6 (c) 2\/21 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11279177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 14. Let h(z) = z**3 + 8*z**2 + 5*z - 10. What is h(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9338889.\nAnswer: 3, 7, 401, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**6\/3 - 4*b**5\/5 - b**4 + 4*b**3\/3 + 9. What is t in a(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 17 - 14)*(-200 + 24*r + 31*r - 54*r)*(-2*r**2 + 2*r**2 - r**2).\nAnswer: -18*r**3 + 3600*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f**3 - 7 + 6*f**3 + 3*f**3. Let q(a) = 8754 + 0*a**3 - 8758 + 5*a**3. Calculate 5*q(k) - 3*v(k).\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2. Let q(i) = -i**2 - 1521412. Calculate q(a(v)).\nAnswer: -16*v**4 - 1521412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 661954 and 2260?\nAnswer: 6619540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 800.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, -3, 0.0965, 0?\nAnswer: 0.0965","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Let m be z(0). Solve -28 - 7 = -5*c + 2*k, m = 3*k + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2301136 - -5932210. Let n(h) = 5653*h**3 - h**2 - 3*h - 8. Let f be n(-6). Let z = f + w. Round z to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 17*d**2 + 15*d - 3. Let c be h(-16). Suppose -5*n - 21 = -o - 8, -5*o - n + c = 0. Solve o*l - 5 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w\/((w**4*w)\/w)))))\/w*w**(1\/5)*(w\/w**(-7)*w)\/w**0 assuming w is positive.\nAnswer: w**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10\/24)\/(4\/16)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 360*w - 317*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 3:45 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 77636 (base 8) to base 9\nAnswer: 48730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-11 - (-43 - -13)) + -17 + (33 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -567, -560, -553, -546?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*n = -217 + 314 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 582956 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 7*a**2 - 6*a + 8. Let g be t(6). Let u = 13 - g. Let d(c) be the first derivative of -c**3\/3 + 3*c**2 + c - 2. Give d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - z + 3. Let c(p) = p**3 + 4*p**2 - p - 2. Let b be c(-4). Solve -n = b*n + z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12965 and -12963 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 3*l - 85 - 131 + 9*l**2 - 16 + 67 to the form r*l + y + z*l**2 and give y.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -24*y**3 - 8*y**2 + 2*y + 8. Let l(w) = 8*w**3 + 3*w**2 - w - 3. Calculate 8*l(v) + 3*q(v).\nAnswer: -8*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -395821 less than or equal to -395937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15919, 23305, 30691, 38077, 45463, 52849?\n\"Answer: 7386*v + 8533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 10 - 14. Let l(c) = 4270*c + 4. Let m be l(d). Let x = -2447 - m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + s = 56, 0 = 3*x - 4*s + 15068 - 14923 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 316. Let v = 1761 - m. Let w = v - 5603. Round w to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + (-1248984)\/(-270) + 2\/15.\nAnswer: 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3728851578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -15.54. Let d = -12.04 + g. Let f = 17 + d. What is f rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**6\/10 + 6*w**5\/25 - 2*w**3\/5 + 3*w**2\/10 - 151. Determine n so that i(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -68. Suppose r + 13 = -3*y + m*y, -2 = 2*r. Suppose y*d - 9*d = -1200. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/30 - 2*n**3\/15 - 2*n + 3. Let j(s) be the first derivative of p(s). Factor j(z).\nAnswer: 2*z*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 4*s**2 + s + 2. Suppose 3*l + 2 = 2*a, 0 = -8*l + 3*l - 3*a - 35. Determine h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 5600425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 63*o**3 + 261*o**2 + 345*o + 144.\nAnswer: 3*(o + 1)**2*(o + 3)*(o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 2 u when four letters picked without replacement from ssssutsttooausou.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 2*f - 3*f**2 + 3*f**2 - f**3 + 6*f**2 - 6. Let v be n(4). Solve -3*u = 3*o - 3, o - 2 = -v*u + 4*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11 and -3038.9315362.\nAnswer: -3039.0415362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813*t - 1 = y + 812*t, 4*y = 2*t + 2. Let v(x) = x**3 - 5*x**2 + x - 1. Calculate v(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -283 + 91*q**2 + 278 + 131*q**2 - 8*q**2 as a + l*q**2 + z*q and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1 - 3) + 13 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 536509808 and -445991.\nAnswer: 536063817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -90, -187, -318, -483, -682, -915?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, y: 3}. Give prob of picking 3 j.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11*b + 122. What is p(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5523 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l**3 - 5*l**2 + 52*l - 9. Let p(m) = -12*m**3 + 4*m**2 - 52*m + 8. Calculate 5*p(a) + 4*s(a).\nAnswer: -4*a**3 - 52*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.37, -1\/7, 3, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Let r = 0 - c. Let b = 1 - r. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11625 divided by -15\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from guggguggggjgs?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6613\/9 - -735. Which is the third biggest value? (a) p (b) -0.038 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o + 3. Let z be w(0). Suppose 5*u + 31 = 4*x + 10, -3*u = z*x - 9. Suppose -b = -r - 27, 5*b - x*r - 1 - 129 = 0. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -2. Suppose 0 = 3*b + 3 + 18. Let z = b + a. Solve -3*l + 4*f + 9 = 0, -l - z*f = -5*l + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43\/4 + -11. Sort n, 5, 0.02, 0.3, -0.4 in increasing order.\nAnswer: -0.4, n, 0.02, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6166763 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -13. Suppose q + 4*p = -2*q + 15, -4*q + 5*p = -20. Calculate the highest common factor of q and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 2*k**2 - k**2)*(6 - 1 - 3) + 2*k**2 + 0*k**2 - 5*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2 + 1) + 2. Let g be 2\/(-9) + (-110)\/(-9). Suppose g = i*d, 2*w - 2*d + 8 = 2*d. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 15*o. Let g be 2\/4 + o + 910\/(-364). Let n(v) = -4*v**2 - 2*v - 2. Calculate n(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 60, -4, -58, -102, -136, -160?\n\"Answer: 5*p**2 - 89*p + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/14 + 1272\/21. Suppose 5*t - h - 233 = 0, -h + 83 = 3*t - g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -137 + 122 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**2))**35\/(v**1\/(v\/(v*v**(-3\/2)))))**(-32) assuming v is positive.\nAnswer: v**(-2256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgzzggmwzzzzz. Give prob of picking 1 z and 3 g.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 + 70. Let i(h) be the first derivative of -h**2\/2 - 3060. What is i(p(l))?\nAnswer: -5*l**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -21*m - 197. Give f(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < 428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 3 - 8)*(2*a**5 - 2*a**5 - 3*a**5).\nAnswer: 48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164630\/7 + 23518. Put 1\/4, n, 5, -170, 0 in decreasing order.\nAnswer: 5, 1\/4, 0, n, -170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)*-3 + 0. Let x(m) = -752*m + 752*m - 3 + m**2. Let a be x(p). Solve -4*s - a*q = -q - 6, 4*q = -8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -52. Let c be (-1)\/((-4)\/5) - (-12)\/f. Let b be (-2 - (-60)\/(-2))*c. Sort b, -4, 2.\nAnswer: b, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/4, -2\/11, -1\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123320 - 1330120?\nAnswer: -2120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 6. Let r(a) = -2*a + 2. Let b be r(4). Let z be w(b). Solve 1 = -d - z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25498 - -25520.0096. Let r = o - 22. What is r rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/1 + 2*21\/12. Let v = -35.6 + 32. Let k = -4 - v. Which is the nearest to 0.1? (a) k (b) 3\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 528, 1250, 2276?\nAnswer: 3606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 6 = 0, 10 = -4*t + 3*f - 4*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68837.\nAnswer: 19, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/7)*(f**(1\/4)\/f)\/f*f**(2\/7)\/((f**(-4)\/f)\/f)*(((f*f**(-1)*f)\/f)**42)**12 assuming f is positive.\nAnswer: f**(135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.78 + 1.8. Put 3\/2, p, 0.5 in descending order.\nAnswer: 3\/2, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 12.9614.\nAnswer: 1.29614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 65386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let p = -2 + 3. Let y be 1 - (p + 1\/4). Sort -1\/9, y, f.\nAnswer: y, -1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43000, 42961, 42910, 42841, 42748, 42625, 42466?\nAnswer: 42265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 131 (b) 5 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4099, 8199, 12299, 16399?\n\"Answer: 4100*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21122 + -20884. List the prime factors of z.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 4. Let k(q) = 1. What is c(u) - 4*k(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -15264, 16.\nAnswer: -15264, -4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:59 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 42*h - 255. Give v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4030 (base 7) to base 2\nAnswer: -10101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) - (sqrt(245) + -2))*3)**2 + -2)*-5.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7544*b**3 - 369*b**2 + 369*b + 369. Suppose 149*o - 57564 = -7*o. Let r(j) = -41*j**3 + 2*j**2 - 2*j - 2. Determine o*r(x) + 2*v(x).\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579*q - 29106 = -612*q. Is q at least as big as 882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 7*w + 1. Let f be c(6). Let u(v) = v - 2. Determine u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3527 + -3439. What is the lowest common multiple of 242 and w?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1625, 3222, 4783, 6302, 7773, 9190, 10547?\n\"Answer: -k**3 - 12*k**2 + 1640*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2653 + 2*k**3 - 2653 + 15*k**4)*(5*k + k - 4*k).\nAnswer: 30*k**5 + 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 105*t**5 + 93*t**4 - 99*t**3 - 57*t**2 + 30*t = 0?\nAnswer: -1, 0, 2\/5, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5 + j**3 + 5 + 7*j**2 - 4 + 5*j + 0*j**3. Is u(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*((f\/f**3)\/f)\/f)\/(f*f**(-4\/5))*f**3*f**(-6) assuming f is positive.\nAnswer: f**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*p - 26*p - 99*p + 23*p to the form o + z*p and give z.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2 - (-9)\/18. Let r = -3 + p. Which is the second biggest value? (a) 4 (b) r (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 + 210. What is the highest common divisor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29348794 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 1 w when three letters picked without replacement from {g: 3, u: 9, h: 3, w: 2}.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 12 = m + o, m - 9327*o + 9322*o = 78 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9789 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(3*i - i + 0*i) + 5*i - 4*i - 2*i + 3*i + i - i + (1 - 1 + 3)*(2*i - i + 2*i).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3604 + -0.0796. Let a = -0.56 + s. What is the biggest value in 2\/15, 6, 2\/7, a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-2)\/1 - -3). Factor -164*k**3 - 4*k**h - k**2 - 120*k**4 - 80*k**5 + 119*k**3.\nAnswer: -5*k**2*(k + 1)*(4*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266 - (6 - 28\/4).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + (-156)\/20)\/(2\/(-195)). Is q less than 315\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 30*t - 5. Let s be r(4). Let h = 234 - s. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -597, 47, 3\/5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**4\/12 + z**3\/6 + z**2\/2 - 4*z. Let m(r) = -10*r**2 + 9*r + 5. Let d(g) = -m(g) + 6*y(g). Is d(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - -10 - 0\/2. Suppose 5 = n - 2*a - a, -o*n + a = -39. Let g = -85 + 173. What is the highest common divisor of g and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17144 (base 9) to base 12\nAnswer: -69a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*u - 12, -7*r = -2*r + 2*u - 6. Solve -l - 4 = -r*l, 4*m - l = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + -35. What is the common denominator of 23 and (-10)\/(-24) + (-12)\/s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -7)*3\/(-6). Let i be u\/22*20\/15. What is the second smallest value in -0.1, i, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*j + 3*x = 85*j - 6, j = 3*x - 9. Calculate the remainder when 11412 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -28221.234?\nAnswer: 28217.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 35 = -2*j + 4, -19 = 2*o + 3*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcptqnw. Give prob of sequence pc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11351433 - -120?\nAnswer: 11351553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081*g**2 + 1827288*g - 1827288*g.\nAnswer: 1081*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 3)*(-3*i**3 + 2*i**3 + 8*i**3).\nAnswer: 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 4*u + 1. Let k(i) = i**2 + i. Calculate -c(t) - 2*k(t).\nAnswer: -3*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - 199. Let r = 315 + c. What is the remainder when 93 is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 215009000 to the nearest one million.\nAnswer: 215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 12*y**2 - 14*y - 13. Let l be b(-13). Suppose -2*k - 6 = -4. Sort k, 4, l in increasing order.\nAnswer: k, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqqjqjj. What is prob of sequence qjq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5376)\/(-5888)*(-117)\/273\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 482856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/24534*-87)\/(18\/(-4)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) -108 (b) 147 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 14*y**2 + y + 12. Let d be n(-14). Let j be d\/(-2*4\/(-3)). Let s = 42.05 + -42. Which is the second smallest value? (a) j (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649162715?\nAnswer: 5, 129832543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwuukwukkukuuwkkuk. Give prob of sequence ukkk.\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60580*b - 30291*b + 13*b**3 - 30289*b + 1.\nAnswer: 13*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6797, -6795, -6793?\n\"Answer: 2*g - 6799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211212 (base 5) to base 9.\nAnswer: 10611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 356450 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:00 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34490, -69564, -104638?\nAnswer: -139712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 25. Let y be (-4)\/g + 5523\/15. What is the highest common factor of 46 and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000001010100 (base 3) in base 11?\nAnswer: -99a4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1601 - -1603. Let c(m) be the first derivative of -4\/5*m + 16 + 2\/15*m**3 + 1\/5*m**a. Let c(q) = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 5*k + 216. Let d be ((-4)\/6)\/(16\/k). Solve -4*h - 2*q = -6*q, -q = d*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 743*c - 480. What is the thousands digit of t(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49646*v + 49605*v = 287 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, t: 1, l: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77270.\nAnswer: 2, 5, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -43, 82299.\nAnswer: -43, 0, 82299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 56. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24619 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -204, -816, -1830, -3240, -5040, -7224?\n\"Answer: h**3 - 207*h**2 + 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p. Let n(f) = -58*f + 51*f + 13*f + 115*f. Determine n(v(q)).\nAnswer: 363*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c8 - -3?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -35*a + 2. Let g(x) = 120*x - 3. Let c(z) = -2*g(z) - 7*p(z). Let d(r) = 16*r**2. What is c(d(j))?\nAnswer: 80*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3)*15 - 5. Let o(r) = r**2 + 10*r + 10. Determine o(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1607*x**2. Let b(q) = 23*q - 2. Calculate p(b(r)).\nAnswer: -850103*r**2 + 147844*r - 6428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -3, -3\/4 in decreasing order.\nAnswer: 40, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, t: 4, v: 7}. What is prob of picking 2 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251780137 and 35455.\nAnswer: 7091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -26. Let s = 195 - 189. Calculate the least common multiple of l and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 3*o**2 + 3*o**2)*(11*o - 9*o - 9*o) + (-3*o**3 - 3*o**3 + 4*o**3)*(-3*o + 3*o + o).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(((-135)\/(-15))\/27)\/(2\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42457\/5 - -8491. What is the closest to p in 5, 2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-189)*-4)\/(3*(-6)\/27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {h: 5, i: 2, v: 2, j: 2, f: 1, d: 8}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 12*o + 9. Suppose -5*c - 25 = 0, 0 = -4*m - 4*c - 8 - 8. Sort m, 4, o in descending order.\nAnswer: 4, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-6)*(-7)\/35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24611261.5 plus -64816?\nAnswer: -24676077.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5122911.9 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 + (-2205)\/135)*378\/(-44). Factor 2\/11*g**3 + 18522\/11 + 2646\/11*g + h*g**2.\nAnswer: 2*(g + 21)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1 - 31*n + 13*n + 1. Let k(p) = p**2. What is y(k(c))?\nAnswer: -18*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -13*m + 3. Let n(b) = -7*b + 2. Let t(g) = -5*n(g) + 3*v(g). Let r be t(6). Let d be r\/(-15) + (-2)\/(-6). Solve -d = -w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003844 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2262141 + -0.9878024?\nAnswer: -1.2140165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3))**50*(s**(-1))**(-3\/14) assuming s is positive.\nAnswer: s**(709\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 34*y - 9. Let j be f(5). Suppose -191 = -5*s - j. List the prime factors of s\/21 - 6096\/(-28).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {m: 2, n: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151 by -133.\nAnswer: -151\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*c + 2 = 0, 4*y - 1 = -11*c + 16*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**3 - r**2 + 5*r - 3. Give o(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 387017 + -268231. Let k = m + -118978.921. Let n = 193 + k. Round n to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0 + 4. Let s = 0.2 + -0.1. Let n = 0.4 + 0. Which is the closest to s? (a) j (b) 2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) 0.5 (b) -2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 + 2 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5124, 19433, 42930, 75615, 117488, 168549, 228798?\nAnswer: 298235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 9*l + 6. Suppose 0 = -28*u + 29*u + l. What is the second smallest value in u, 3, -4, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/8)\/(-45 - (-445)\/10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 1. Let p(d) be the third derivative of d**6\/360 + d**5\/20 + d**4\/6 + 2*d**3\/3 - 3*d**2. Let x(u) be the first derivative of p(u). Give x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 12*v + 34. Let g be n(15). Let x(p) = -7*p - 78. Let o be x(g). Is -7\/8 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15928*k - 17061*k - 140492 for k.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Suppose -k*p + 9 = -a + 2*a, 2*p = -2*a + 14. Let l be (-44)\/12 - (-4)\/a. Put l, 4, 2 in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:01 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -303*i + 12113. What is q(40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 26*g = -492. Let d = 123 - g. Solve -4*i + 13 + 3 = d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**7\/210 - w**6\/15 - w**5\/10 + w**4\/3 + 7*w**3\/6 + 25*w**2. Factor q(v).\nAnswer: -(v - 1)*(v + 1)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.594 - -0.406. Which is smaller: 1\/52 or o?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-22746)\/(-420801).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 5*z + 2*m + 136, -64 = 2*z - m. Let o be ((-18)\/z)\/(8\/22). Sort o, -2, -0.13, -3.\nAnswer: -3, -2, -0.13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23496 is divided by 9112.\nAnswer: 5272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-36))\/((3\/(-9))\/1). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 11*l**2 + 4*l**2 + 12*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7730307 less than 10?\nAnswer: 7730317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 83785*p**2 + 515047*p.\nAnswer: -12*p**2 + 167570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a decade?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 + 6*d**2 - 4*d - 15. Let l(b) = 15*b**3 + 17*b**2 - 11*b - 48. Calculate 17*h(j) - 6*l(j).\nAnswer: -5*j**3 - 2*j + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**5 - 1770*u**4 - 1765*u**3 = 0.\nAnswer: -353, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1539 and 11\/2128.\nAnswer: 172368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 20*g - 36 = 0. Differentiate -37 - 97 + 41 + 13*v**g + v**2 wrt v.\nAnswer: 52*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34307.94 to the nearest 10.\nAnswer: -34310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*t**(5\/4))**(1\/38))**(-47) assuming t is positive.\nAnswer: t**(-799\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 4 + sqrt(192) + 0)**2 + 2 + -1 + 5*(-2 + sqrt(3)) + -2.\nAnswer: 133*sqrt(3) + 773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - d - 11 = 0, x - 9*d = -5*d + 8. Do x and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (0 + -1)*-2*-2. Suppose -17*o + q*o = -36. Find the second derivative of -11*s - 9*s**o - 13*s**3 + 38*s**3 - 12*s**3 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k - 130. Calculate b(-6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82736.\nAnswer: 2, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 33 = 4*h - 7*m, -2*h - 4*m = -16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -10000?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/7, 16, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:43 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000120876229 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -561368\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 64*n + 4. Let g be l(4). Suppose 0 = 5*t - g - 950. Suppose t = h + h. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 - 47\/(517\/(-416108)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*u = -143*u + 1152. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdddddddddldpd. What is prob of picking 1 p and 1 d?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*m + 1. Suppose -5*z + 122 = -v, 0 = 4*z + v - m*v - 106. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*p - 0*j + 92, 0 = 5*p + 2*j - 108. Suppose 2*z = 3*c + 5, -5*c + 20*z = 25*z - 25. Calculate the remainder when p is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -9.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28864)\/246*10\/440*33.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i + 5. Let q be i*2*214*(-7)\/(-28). Suppose 0 = w + 4*w - 5, -2*w + q = 3*h. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*p + 82*p - 158*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-22) - 94\/(-33). Let n = s + -43\/15. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -148, -443, -892, -1501, -2276, -3223?\n\"Answer: -p**3 - 71*p**2 - 75*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/11 + 1838200*s\/11 - 33088248\/11 = 0?\nAnswer: -919118, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 1\/3 (c) 984.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fafffikfffaffaf. Give prob of sequence aiaf.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 330194 or 330195?\nAnswer: 330194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(((-21)\/(-18))\/(-7)). Let g be (-31)\/(-2)*(-5 - (-6)\/j). Let f = -70 - g. What is the nearest to -0.1 in f, 3, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y + 31. Determine h(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431 - 79816.\nAnswer: -79385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -10, 490, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19654130181 + -0.02.\nAnswer: -19654130181.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*sqrt(11) - (-2 + 0 + sqrt(11)))*-6)**2.\nAnswer: -576*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 5*x**2 + 4*x - 5. Let l be v(5). Let z = l - 11. Solve z = -3*r - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1174\/5221 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14499, 28987, 43461, 57915, 72343, 86739, 101097, 115411?\n\"Answer: -n**3 - n**2 + 14498*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133743?\nAnswer: 3, 109, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*c + 4, 0 = -k - 4*c - 2 - 2. Suppose -h - 4*h = k. Let f = -23\/10 - -41\/20. Which is greater: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0*m**2 - 31\/6*m**4 + 3*m + 0*m**5 - 3 + 0*m**3 + 79\/30*m**6. Find the third derivative of i(r) wrt r.\nAnswer: 1896*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11 + 6*h**4 - 12 + 1 - 32*h wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 + 39 - 178 + 104 + 35.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let i(h) = -663*h**2 + 81. Give i(y(n)).\nAnswer: -2652*n**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - (5 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 888.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k + 5 + 2 - 1. Is f(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18658, -35418, -52178, -68938, -85698, -102458?\n\"Answer: -16760*o - 1898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 7937225.\nAnswer: 7\/7937225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/7))**(-2\/23))**(-43) assuming i is positive.\nAnswer: i**(430\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z + 1246*i - 630*i = 612*i + 462, -5*z - 5*i + 155 = 0 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 1. Let p(u) = 20*u + 22. Let h(q) = 44*m(q) + 2*p(q). Let z be ((-12)\/(-4) - 1)\/2. Let d(l) = 78*l - z - 75*l + 1. Calculate d(h(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7788 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 3:57 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088\/(-102)*222\/(-4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -28*q**3 + 4*q**2 - 5*q + 5. Let p(u) = -85*u**3 + 11*u**2 - 14*u + 14. Determine -4*p(j) + 11*t(j).\nAnswer: 32*j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -15. Let l(w) = 2*w**2 + 15. Determine 4*l(v) + 5*q(v).\nAnswer: 8*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-1\/7)*(((j\/(j\/(j**(-5\/8)*j)))\/j*j)\/j)**(-43) assuming j is positive.\nAnswer: j**(1481\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13b563 + -10?\nAnswer: -13b573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 15*q**2 - 12*q - 93. Let h be o(13). Let b = h + -21. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.79606 + -1\nAnswer: 1.79606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 - 100 - (-18 - -29).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2322 = 61*y. What is the remainder when ((-1)\/(-2))\/((-1)\/(-294)) is divided by 34 + y + 0 + 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*q + 24660 = 256*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 = 49*l - 24 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/35 - -8 - (-4)\/5. Let c be (b + 4)*((-147)\/(-74) + -2). Is 0 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - (-43 + 17)) + 14 + 3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-13 - 8) - -3 - 4) + -4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, 2\/15, -4, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0925221 - 1.95646.\nAnswer: -1.8639379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101110101011 (base 2) in base 6?\nAnswer: -1143151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 18\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*(-5)\/(-30))\/(6\/197082) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -295.3 - -295.6. Let i = 0.65 + -0.6. Let t = 5.05 - i. Sort t, u, 7 in decreasing order.\nAnswer: 7, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*l - 22, -6*f + 236 = -f + 497 - 251 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-22 - (14 + -11 + -18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from idhdiiqdhidhdhwi.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/4))**(-4\/7)*((k*k*k**0*k)\/k)**(-18) assuming k is positive.\nAnswer: k**(-255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114.21 - 113.51. What is the second smallest value in -1\/5, 3, 1\/2, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*w**4 - 1200*d + 153043*w**4 - 18608 wrt w?\nAnswer: -4*d*w**3 + 612172*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 163486176439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16132 and 1526?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67*(-58)\/(-268134)*-575.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -8. Suppose 23*r = 15*r + 32. Let z be r\/(-14) - 10\/70*-6. Which is the closest to 0? (a) d (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1321080 - 1321080 - 3486*z)*(3 - 2 - 3).\nAnswer: 6972*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363440 and 1680?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*k - 73*k - 1445*k**2 + 1451*k**2 + 154*k + 3 + 39*k**3 to the form o*k + w + f*k**2 + t*k**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20.846, -2\/9, -4 in ascending order.\nAnswer: -20.846, -4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -50*x + 53*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**(4\/7)\/q)\/q)\/q)\/((q**(-13\/3)*q)\/q))**(-4\/3))**(-12) assuming q is positive.\nAnswer: q**(640\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-333)\/(222\/(-592)*-12)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -670 (b) 5\/6 (c) -1\/4 (d) -330\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -25*p**2 + p + 42. Let q(h) = 8*h**2 + 1. Let o(v) = -3*q(v) - r(v). Give o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.121 + -6845651\nAnswer: -6845662.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -737 + 3452*k**2 + 248*k - 64*k - 183*k wrt k?\nAnswer: 6904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4)*x*x)**(-8))**11 assuming x is positive.\nAnswer: x**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 - g. Suppose -5*n = 42 - 12. Does 11 divide j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -1595.1.\nAnswer: -1600.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 11*m**2 + 13*m + 43. What is u(-6)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) + (-16)\/(-9). Let k be 15\/6*(j + 0). Suppose 0*w + k*w = 0. Solve -s = -w - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 + 21*r**2 + 8*r + 59. What is j(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 461 - 461 - 545*q + (-12 - 8 + 1)*(4 - 2 + 0 - q) in the form g + y*q and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 16*u - 3 - 2 in the form o*u + c and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e56294a + 4?\nAnswer: -e562946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-21) - 1*(-12)\/9. Suppose 173*d - 175*d + 2366 = z. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -5*s**4\/24 + 12*s**2. Let y = 3080 - 3073. Let c be 0 + 2\/(-1) + -2. Let i(f) = -9*f. What is c*i(n) + y*x(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3. Let a(i) = -3*i**2 - 2*i + 98. Determine -a(b) + 5*x(b).\nAnswer: 3*b**2 + 2*b - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 553 - 554. Let z = 6.8 - -2.2. Let g = -13 + z. What is the closest to f in -3\/2, 5, g?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/188*16\/(-18). Let a = 311817294\/33071785 - 55\/422193. Let u = t + a. What is the common denominator of 69\/10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 55283662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -16 - (84 + -94)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/66 - n**3\/33 + 4*n - 4. Factor z(k).\nAnswer: 2*k*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1350 = -3*h, 2*n - 2714 = -372*h + 371*h. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 7) in base 6?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-5) - (-2)\/10. Suppose o + t = -0*o. Let n be 1*2*o\/(-12). Which is the closest to -1? (a) -2 (b) -1\/10 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l - 0*l. Let x = -2 - -1.8. Let r = 0.1 + x. Which is the closest to r? (a) -5 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 1113?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/60 + 7*l**2. Let x(p) = 18*p**2. Give x(d(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134430 - 4014100?\nAnswer: -4204030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -29. Suppose -v + 1280 = i, 0*v = -v + n*i + 1292. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.886 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301286 and 5572?\nAnswer: 4218004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**3 + 2*i**2 + 9*i - 6. Let t(v) = -6*v**3 + 2*v**2 + 8*v - 5. Let g(z) = 5*b(z) - 6*t(z). Let o be g(3). Sort o, 4, -5 in increasing order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 3407990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/4835850 and 53\/40.\nAnswer: 19343400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 78 = -3*l, -2*i = -4*l + 3*i + 104. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(18))**2 + sqrt(18) + -2 - (-2 + sqrt(648) + sqrt(648))**2) + -5*(2*sqrt(648))**2*-1.\nAnswer: 159*sqrt(2) + 10384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28301531 - 2.1.\nAnswer: -1.81698469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuhhhuu. Give prob of picking 1 u and 2 h.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 6, h: 6, y: 1, x: 1, t: 5}. What is prob of sequence uy?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221020 - -121011222021?\nAnswer: 121022220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30031.\nAnswer: 59, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:03 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m - 5*m + 0 + 1 - 2. What is w(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -50596\nAnswer: -1\/12649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 387 - e59?\nAnswer: -ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3 - 709227*m**2 - 7801630*m + 8510856 = 0. Calculate m.\nAnswer: -12, 1, 709238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4558984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17547 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166.1 + 149.1. Let g = 175.8 + -159. Let n = s + g. What is the third biggest value in n, 0, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6606\/54*(-6)\/8. Let b = -5825 + 5732. Which is bigger: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnpnwpopoonnwo. What is prob of sequence np?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 3, 0.11, 530 in decreasing order.\nAnswer: 530, 3, 0.5, 0.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, p: 7}. Give prob of picking 3 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9445.5993 + 9446. Let h = -0.0053 - q. Let c = 0.054 - h. What is c rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**3 - 25*n**2 - 53*n + 4. What is the thousands digit of c(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525130*-30.\nAnswer: -15753900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 1003 - 2008 + 1005.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 20*z**2 - 14*z + 292. Let l be i(68). Round l to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (-1*sqrt(76) - sqrt(76)) - sqrt(76))\/sqrt(4)*-3.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -111731523\nAnswer: 111731517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00458710244 to 6 decimal places.\nAnswer: 0.004587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = d + 36, 4*d + 220 - 148 = -11*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 6. Let n(a) = -a**3 - 816*a - 1 + a**2 + 817*a - 3 + 5. Let y(r) = -6*r**3 + 10*r**2 + r + 1. Let b(p) = c*n(p) + y(p). Calculate b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.765 + -8.755. Which is the closest to g? (a) 1\/7 (b) 1 (c) 0 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*j = 3, -31 = 3*a - 6*a - 4*j. Suppose a*t = -7*t + 2184. Suppose -14*y = -21*y + t. Calculate the greatest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4986*b**2 + 4983*b**2 - 895 + 123 to x*b**2 + j*b + o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let v(l) = 2*l + 333302. Determine v(q(k)).\nAnswer: 2*k**2 + 333302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 2*a - a + 5*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013371404 rounded to four decimal places?\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 11330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5018 + 5023. Put 9, -4, 2, o in descending order.\nAnswer: 9, o, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**3\/3 + 3*p - 14. Let k(h) be the first derivative of 3\/2*h**2 - 1 + 0*h. Calculate k(q(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*f - 21*f - 4. Let u be ((-25)\/f)\/5*4. Let v(z) = 2*z**2 + 12*z + 8. Let y be v(u). Put 1, y, 4, -1 in decreasing order.\nAnswer: 4, 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 - m + 2*m + 2*m**2 - 2*m + (2*m + 5*m - 4*m)*(4*m**2 - 4*m**2 - m**3) to k*m + f*m**4 + c + u*m**3 + w*m**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z + 6*z**3 - 5*z + (25*z - 33*z - 61*z)*(0*z + z**2 + 0*z).\nAnswer: -63*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1373650 and 339470?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-7)\/98). Let l(w) = w**2 + 6*w - 10. Let g be l(b). Suppose -23 + 19 = d. Sort d, g, -5 in descending order.\nAnswer: g, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 1. Let m be p(2). What is the common denominator of 1*(106\/m)\/2 and -111\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2. Let n(s) = 588*s - 1772*s + 594*s - 34 + 597*s. Give a(n(i)).\nAnswer: -343*i**2 + 3332*i - 8092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2193 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:19 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 6*b - b + 4*t, b - 10 = t. Let i = -6 + b. Calculate the remainder when 3 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.2101935+-4\nAnswer: -24.2101935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 13428171.5 to the nearest one hundred thousand.\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2 - 215654*x - 86260.\nAnswer: -2*(x + 21565)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c - 54*c = 301*c + 5076 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12))**43 assuming h is positive.\nAnswer: h**(-516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -7) + -4 + 7 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5634 + -5639. What is the nearest to 0 in o, -0.04, -1, -3\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10947, -1, -14 in increasing order.\nAnswer: -10947, -14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90, 352, 800, 1440, 2278, 3320, 4572?\n\"Answer: g**3 + 87*g**2 - 6*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*(-23)\/(1012\/(-32)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3428\nAnswer: 1\/3428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/304 and -137\/313080?\nAnswer: 11897040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 140*o**2 - 6 - 11 - 137*o**2 in the form d*o + y + n*o**2 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:54 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 59*l**4 - 26*l**3 - 60*l**2 + 62. Let z(j) = -2*j**4 + j**3 + 2*j**2 - 2. Let h(c) = 2*x(c) + 62*z(c). Determine u so that h(u) = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-9))\/((-24)\/(-1440)*-25).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.7 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 0.055 (c) -4 (d) 4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 3:59 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/31005 and -71\/117819.\nAnswer: 589095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -109 and -1414.7.\nAnswer: 154202.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 2*q**7\/105 + q**6\/15 - q**4\/3 - 2*q**3\/3 + 4*q**2. Find y, given that t(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 799*r - 16 - 18 + 59 - 12 - 15 as u + o*r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsndsxswnxlwsws. What is prob of picking 1 w and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:56 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 855, 852, 849, 846?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 487274597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 572498.19 to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/24*6*(-45)\/175\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126273 (base 11) in base 10?\nAnswer: -198641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {l: 2, v: 8, i: 5, u: 1, d: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5437430 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.06. Let b = 89 - 85.94. Let f = b + v. Sort -6, f, -0.4 in descending order.\nAnswer: f, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-11\/5)\/v)\/v)\/v**(1\/7) assuming v is positive.\nAnswer: v**(-152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((-28)\/(-7) - 21\/8). Which is the fourth biggest value? (a) 3\/4 (b) -1\/11 (c) u (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geeeuikezuku. What is prob of sequence kge?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43244?\nAnswer: 2, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 751, 297 in ascending order.\nAnswer: -59, 297, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230604089 to the power of 1\/2, to the nearest integer?\nAnswer: 35080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 7. Let g(k) = 21*k + 36. Let w(d) = 2*g(d) + 11*p(d). Let m = -3 + 8. Let v(n) = 3*n + 9. Calculate m*w(o) + 3*v(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -0.5 (c) 5\/699431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**3 + m**2 - 8*m - 6. Let t(r) = -7*r**3 - r**2 + 7*r + 5. Calculate 5*d(q) + 6*t(q).\nAnswer: -2*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -23 + (1 - 8) - (-1 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1126, 8636, 29022, 68722, 134174, 231816?\n\"Answer: 1073*v**3 - v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(156))\/((sqrt(3) - 1*sqrt(108)) + sqrt(3) + sqrt(3)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 9:09 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 256218 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 5*u**2 + 0*u**2 - 4 - 2*u**2 + 4 + (0*u + 0*u + u)*(2*u - u - 2*u) + 10 - 10 - 18*u**2 - u**2 - 2*u**2 + u**2.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 790961, 1581930, 2372909, 3163904, 3954921, 4745966, 5537045, 6328164?\n\"Answer: c**3 - c**2 + 790965*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1136a - -4?\nAnswer: -11366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -15396171?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*t**2 - 17*t**3 - t**4 - 27*t**4 - 9*t**4 - 173*t**2 to q*t**4 + w + f*t**3 + g*t**2 + m*t and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 5c771?\nAnswer: -5c774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-9)*(-3)\/(-2). Suppose 0 = -a - t*a. Suppose 0*r + 3*r = a. Solve 2 = -2*k, r = -2*o + o + 5*k + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 4*o + 3. Let k be b(-4). Suppose n + k - 8 = 0. Let c = n + -5. Is -1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Suppose n*s = s. Suppose 4*t - 3*r = 21, -t + 2*r + 1 + 3 = s. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*-554.\nAnswer: -1218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -115, 261, 769, 1409, 2181?\nAnswer: 3085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(99)\/sqrt(9))**2 + -6*sqrt(55)\/sqrt(5).\nAnswer: -6*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s + 28. Let x be t(2). Suppose -x*u = u - 238. Calculate the least common multiple of 6 and u.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172783, 172776, 172769, 172762, 172755?\nAnswer: 172748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2 + 0)*4*19. Suppose g = 2*j - 5*h - 85, 0 = -5*j + 4*h + 282. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*n - n = 146, 2*u + 2*n + 52 = 0. Calculate the common denominator of -31\/354 and (-15)\/u + -1 + 8.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/5 + 49864*a\/5 - 29773604.\nAnswer: -4*(a - 7511)*(a - 4955)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646674 and 5709.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131\/378 + 2\/189. Calculate the common denominator of -61\/22 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13952266, -27904528, -41856790?\n\"Answer: -13952262*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 19. Let m be w(-11). Suppose 64 + 35 = m*v. Is -3 + 4800\/22 - 6\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -81.8, 2\/15, -0.1, -0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 + 10)*(0 + 0). What is the derivative of x - 2 - 2 + 4*x + k wrt x?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(40\/(-299750))*(-3)\/15*2?\nAnswer: 2, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - 26\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - 1)\/((-513)\/(-3363)*(-6)\/(-16227))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3 + (984\/144)\/((-1)\/(-2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 5*o**2 + 5*o + 2. Let q be g(-6). Find the common denominator of -97\/6 and 2\/(-11)*(-166)\/q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 64326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Suppose 0 = -4*g + 20, 2*g = -5*p + g + 40. Suppose n + 25 = 5*i - p, -2*i = 5*n - 2. Solve 3*c - i*c - 3 = l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ae12 (base 15) to base 3.\nAnswer: 112201212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4079620901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4625 divided by 25?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -235545?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500646 = 55*s - 3732281. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-3 - 4)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + 34*g + 90 = 0. Suppose g*h - 14*h = 8. Is 30\/17 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 take away 2.475?\nAnswer: -68.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11))**12*x*x**(2\/45)\/x*x*x*x\/(x\/((x\/(x*x**(2\/45)))\/x)*x) assuming x is positive.\nAnswer: x**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4812738 to the nearest integer?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/9, 57, -52, -2, 0, -3, -23?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*t**2 + 79*t**2 + 88*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 251191, 251184, 251155, 251092, 250983, 250816?\n\"Answer: -2*y**3 + y**2 + 4*y + 251188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 2*o. Let n be f(4). Let t(x) = x**2 - 3*x - 5. Let h be t(5). Calculate the highest common divisor of n and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 400243136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/22*2)\/((-6)\/(-306)). Let m = -476\/143 + n. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*o = -54*o - 25. Let t(w) = w**2 + 6*w + 4. Let r(m) = m**3 + m**2 + 5*m + 5. Let i(u) = o*t(u) + 4*r(u). Find the third derivative of i(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 2*v. Let t(z) = -42*z**2 + 28*z. Let j(x) = -42*i(x) + 3*t(x). Let b(a) = 2*a**2. What is j(b(l))?\nAnswer: -672*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 22 = 4*w, 4*w - 2*y = -0*y + 28. Let x be w\/(-2)*20\/(-6). Let b be x\/4*(-18)\/(-5). What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvbv. Give prob of picking 1 b and 1 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-26)*(-1 - 2). Let f = o + -4\/39. Find the common denominator of 31\/9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-9) + 14\/(-63). Let z(g) be the first derivative of -2*g + w*g + 3*g**2 - g**3 - 6 - 2*g. What is the second derivative of z(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**9\/72 - y**5\/60 + 2*y**2 - 7*y. Let j(n) be the first derivative of v(n). Find the third derivative of j(d) wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 7:49 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/(-20)*(-498)\/1107 and 33\/5?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 415548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -133204 (base 6) to base 8\nAnswer: -30144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**2 + 17. Let m(w) = -5*w**2 - 4 + 7 + 8*w**2 + 3. Give 11*m(g) - 4*z(g).\nAnswer: -3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.0629mg in tonnes?\nAnswer: 0.0000000320629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*j + 30684 - 8289. Let c = j + -543. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77337 is divided by 504?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w - 3. Let d(x) = 4*x**3 + 3*x**2 + x + 28. Let f(b) = -d(b) - 3*g(b). What is f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13671421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 703105 and 88595.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {p: 2, r: 5, x: 3, w: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 35*r**2 - 246*r.\nAnswer: r*(r - 41)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.4000038. What is r rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2220?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*h = -8. Let t be 0 + 4 - 3 - h. Suppose r = t*r - 28. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*b + 1890 = -230*b - 81*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2 - 7 + 808*q**3.\nAnswer: 808*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37\/22889 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -263\/312 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89376 divided by -112.\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 7174 and 7174 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -263 + 262.5. What is the second smallest value in -5, -1\/5, -5\/6, d?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 + l**3 + 23*l**3 - 7*l**3 - 12*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2748527973 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/14658 and 113\/78176.\nAnswer: 234528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 306296119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 17*o**2 + 20*o - 62. Let j be a(16). Suppose 0 = j*f - 4*f + 1970. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7730, -15272, -22734, -30080, -37274, -44280?\n\"Answer: 6*j**3 + 4*j**2 - 7596*j - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 57*h - 813. What is c(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-2\/3)*p))\/p**20)\/(p**(2\/25))**(-29))**(1\/48) assuming p is positive.\nAnswer: p**(-319\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 9*h = -7*y + 851, 101 = y - 4*h. Solve 5*s - y + 115 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -0.04, 1.4, 268, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825\/22 - 2\/4.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*i + i - 2*d, -4*d = 5*i - 25. Let n be (2\/(-6))\/((-1)\/(-3)). Let r be n - -2*(3 - 2). Which is the third smallest value? (a) r (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**2 - 127*j**3 + 10189*j + 7*j**2 + 114*j**3 - 632*j**3 + 0*j**2 wrt j.\nAnswer: -3870*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.7 + 0.3. Let u = 6960.045 - 6946. Let s = u - r. Round s to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -14 - 1\/2*l**2 + 6*l. Determine a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.155661 meters in micrometers?\nAnswer: 7155661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 368?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*z + 2*m - 3*m, 0 = 5*m - 15. Suppose 5*s + z*d - d = 14930, -d + 5 = 0. Is 20 a factor of 2\/4 + s\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28b - -4?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1 - 2) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*j**2 - 1\/3 - 1\/6*j.\nAnswer: (j - 2)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -14*i**2 - 27*i + 32. What is the derivative of y(p) wrt p?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5622, 11243, 16866, 22491?\nAnswer: 28118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 167139 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -883*q**2 + 12*q - 6. Let r(s) = 2179242*s**2 - 29614*s + 14807. Calculate 14807*j(a) + 6*r(a).\nAnswer: 871*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l\/(l\/l**(-18)))*l**2)\/((l*l**15*l)\/(l**7*l*l*l)) assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32, -38, -40, -38, -32?\n\"Answer: 2*r**2 - 12*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5\/7 + 32*o**4\/7 + 26*o**3 - 1656*o**2\/7 - 2419*o\/7 - 88 = 0. What is o?\nAnswer: -7, -1, -1\/3, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 41\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 - 2*u**4 - 4*u**4)*(4*u - 6*u + 0*u) + 226*u**2 - 226*u**2 + 14*u**5.\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 16. Which is the nearest to 2\/7? (a) -0.1 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -17.4, -16?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9781\/45675 + -77\/725. Let l = i - -4\/35. Let r = -269\/3 + 91. Which is the second biggest value? (a) r (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/10 (b) -10 (c) -1\/4 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 7. Let j be (-1)\/((3\/18)\/(-1)). Let y be w(j). Do 2 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 16871 - 45991. What is the highest common factor of n and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1032, -99, 13 in decreasing order.\nAnswer: 1032, 13, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -y, -3*y = -3*a + 1 - 19. Solve 0 = y*j - 14 + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2. Let a(f) = 20*f - 20*f + 9*f**2. Calculate a(s(w)).\nAnswer: 81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-one thirds of a week?\nAnswer: 3976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:43 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -738710 - 311?\nAnswer: -740121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 78*i**3 + 3*i**2 - 18*i + 16. Determine r(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 183\/7?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60775\/1683 + 1\/9*-1. Solve 83 = -s*g - 61 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6)\/(sqrt(300)*5) + -3 + (4 + sqrt(200))*6)**2.\nAnswer: 63084*sqrt(2)\/25 + 4787633\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 18\/15*(-60)\/(-18)*(1710 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 812*g - 811. Give o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4742\/1885 - -168\/65. Sort 0.5, 3, 2, z in increasing order.\nAnswer: z, 0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiigiiigigig. What is prob of sequence ii?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.0746 rounded to one dp?\nAnswer: 220.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48\/59 + 435\/118. What is the nearest to -4 in -3, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f + 12. Let q = -4401 + 4400. Which is the second biggest value? (a) 1\/2 (b) f (c) 4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p - 13. Let a(f) = 3*f**2 + 4*f**2 + 9 - 4*f**2 - f**3 + 0*f**2. Let d be a(4). Let c(l) = 9*l + 9. What is d*c(n) - 5*w(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/97 in -4, -82, 3\/2, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -4*u**3\/3 + u**2\/2 - 2*u + 878. Determine s(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.6 + -35. Let b = w + -22. Let r = -247 - -3209\/13. What is the smallest value in b, -6, r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - c = 18, -27*c = 3*n - 25*c - 54. What is the greatest common divisor of 162 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -1091, -2.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 824.9037l in millilitres?\nAnswer: 824903.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -589\/6287 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.3922 + -16.8. Let p = k - -1.15782. Let d = 0.25 + p. Round d to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29160, 29422, 29662, 29868, 30028, 30130, 30162?\n\"Answer: -2*q**3 + q**2 + 273*q + 28888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.858 + 0.078. Let i = 35.68 + q. What is i rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**3 - 65*t**2 - 79*t - 14. Calculate a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-110)*-10 - (0 + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 255137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 4. Let a be b(4). Suppose j - 2 = 1. Solve -h + 4*m - 3*m + 1 = 0, a = -j*h + 4*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196.99999861 + 197. What is p rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 611330704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 k when four letters picked without replacement from {k: 12, f: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119420128.\nAnswer: 2, 34981879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1060 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a decade in months?\nAnswer: 1470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/799, 2, 340, -6, -21, -2, 1.\nAnswer: -21, -6, -2, -2\/799, 1, 2, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/200)\/(((-36)\/15)\/2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*n + 97218 = 2626*n - 69193 + 33291 for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + (sqrt(720) + 3 - sqrt(720)) + -1*sqrt(5) + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oco when three letters picked without replacement from occo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1)*(21\/(-3))\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3 + 1. Suppose 0 = -i*o - 0*o + 40. Calculate the least common multiple of 2 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnnnhjnpsnsp. What is prob of sequence pss?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3360 and 5376.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -16 + (7 - 2) + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -2*s**3 - 171*s**2\/2 + 84*s + 2. Let o be u(-15). Solve -21 = 6*z + o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.51323966 + -76423164.48676034. Let z = y + 76423163.99999996. Let k = 2 + z. What is k rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*m - 58, -6*f + 8*f + 58 = 2*m. Let z be -9 + 12 - ((0 - m) + -3). Suppose -4*y + 35 = y. Calculate the greatest common divisor of z and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -799\/90 - -172\/45. What is the common denominator of 127\/12 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 1393*p**4\/12 + 139*p**3\/3 + p**2 + p - 12. Find the second derivative of r(q) wrt q.\nAnswer: 2786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w + 11. Let n(t) = 12*t - 12. Let c(x) = -2*n(x) - 3*p(x). Is c(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 2756661.\nAnswer: 35836593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnc when three letters picked without replacement from cncn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5735 + 45988. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 2\/19, -1 in increasing order.\nAnswer: -1, 2\/19, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/2)\/2 - -1. Suppose z*p - 7*p + 5*j = 24, -p + 5*j - 21 = 0. Sort -3, p, 1 in increasing order.\nAnswer: -3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1566 = 1541. Suppose 27*k - n*k = 2954. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let t be 0 - (u - -2 - 5). Suppose -2*p - 3*p - t*a = -113, -3*p = 5*a - 55. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 10, 1 in ascending order.\nAnswer: -1, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194*t**2 + 6*t - 43 + 400*t**2 + 232 - 199*t**2 - 5*t to p + j*t**2 + f*t and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52566.\nAnswer: 2, 3, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l + 39342 = 35*l - 115785. What is the highest common divisor of l and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33249.9223 to the nearest 100.\nAnswer: 33200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -49*t**5\/20 - t**4\/12 + t**3\/2 + 3*t**2\/2 + 10*t - 1. Does 16 divide w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*a = -90*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 229)*(-18)\/(-15)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2696*l = 1732*l + 55912 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 < -432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 - (-34 - -37).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010001011000001 (base 2) to base 10.\nAnswer: -74433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 2099984*c - 48299103.\nAnswer: -(c + 23)*(c + 2099961)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/13)\/a*a)\/a)\/(a*a*a**(-14)*a))\/(a**2\/a)**50 assuming a is positive.\nAnswer: a**(-519\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067237138 rounded to five decimal places?\nAnswer: 0.06724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 175*u**2 - 30171*u - 331. Give g(107).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -27, 3, -5 in ascending order.\nAnswer: -27, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Suppose -2*q + 10 = t - q, 0 = -2*q + 10. Let n be 220\/(-924)*279\/(-155). Which is the closest to 7? (a) f (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 - 1735*u**2\/2 - 298376*u - 23554528.\nAnswer: (u - 2039)*(u + 152)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -w - 5. Let h = w - -40. Suppose -2*a + 4*z = -122, -5*a + 3*z + h = -4*a. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1))\/((12\/(-6))\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 2. Put -3, -2\/17, i in descending order.\nAnswer: -2\/17, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(864)*-2*-2)\/(sqrt(288)*-1 + (sqrt(96)\/sqrt(3) - sqrt(32))*-5).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 137462 = 130630. What is f rounded to the nearest 100?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*j**3 + 137*j**3 - 72*j**3 - 8*j to w + f*j**3 + q*j + b*j**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 - 9. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 74. Let m(b) = 9*b + 2*b - a*b + 25*b. Let p(w) = 6*w. Let n(o) = -o. Let q(s) = 4*n(s) + p(s). Determine q(m(c)).\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*p = 9, 0 = -2*m + 6*m - p. Let z be 807*m\/((-1)\/1). Suppose 5*w + 634 = 3*g, 3*g + g + w = z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k - 1. Let b(p) = p**3 + 7*p**2 + 7*p + 5. Let u be b(-6). Let v(x) = 16*x**2 - 160987*x + 4 + 321973*x - 160991*x - 9. Give u*v(h) + 5*f(h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 + s**2 - s**2 - 2*s**2 + s. What is the remainder when i(-1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f + 1. Let u be h(2). List the prime factors of (-15)\/2*(u + -5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1878040 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*w - 21*w - 56. Let c = 46 + w. Let h = 79 - c. Solve 3*i + 0*i - 4*u = 0, i = -5*u + h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 19 = -3*w, 2*w - p = 2*p + 12. Solve -t - 1 = -w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 9. Let h be c(-5). Suppose 0 = -4*b + 3*r + 57, 29 + h = 3*b - 4*r. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = p. Find the common denominator of -3 + 1\/(p\/118) and 59\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - ((sqrt(209) - 2*(sqrt(209) + -1*sqrt(209) + sqrt(209) + sqrt(209))) + sqrt(209)) - sqrt(209) - sqrt(209))\/(sqrt(55)\/sqrt(5)*-5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {z: 7, m: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669*h = -738*h + 207. Solve 3*x = 8*m - h*m - 30, -x = 2*m - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 586.1 - 586. Put z, -5, -2, -0.5 in decreasing order.\nAnswer: z, -0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/2))**(-25)*(d\/d**6)\/((d**(-6)\/d)\/d) assuming d is positive.\nAnswer: d**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-5))\/(38\/76))\/(182\/65)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*d**2 - 12*d*t**2 + 2*t**2 + 9207 wrt d.\nAnswer: -52*d - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10652?\nAnswer: 2, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/20 and -105\/4960472?\nAnswer: 24802360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3103, 6206, 9309, 12412, 15515?\nAnswer: 18618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*y = -16. Let x = 23 + -20. Let i be y\/x*(-6)\/4. Which is smaller: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 114, 166, 244, 348?\n\"Answer: 13*m**2 + 13*m + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 4*w + 80. Suppose -5*t + 46 = -3*v, -2*t = -0*v - 2*v - w. Suppose 3*z + t - 242 = 0. Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 302.7 + -303. What is the nearest to 1\/3 in k, -9, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 0*c + 0*c + (12*c + 7 - 7)*(-2 + 5 - 2) - 3 + 2*c + 3.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l = -28*l - 25. Suppose -14 = -2*t + 24. Calculate the remainder when t is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*i - 40, -5*i = -4*i + 3*s + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/13? (a) -0.2 (b) 2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2. Let l(x) = -24*x**2 - 3*x. Let a(d) = -15*d**2 - 18*d + 4*d - 104*d**2. Let r(i) = -3*a(i) + 14*l(i). What is o(r(g))?\nAnswer: -441*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 966\/(-690) + (-257)\/(-55) and 1\/3758?\nAnswer: 41338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108*a*i*s - 8*a*s + 5*a + 4*i**3*s - 27*i - s - 21 wrt i?\nAnswer: -108*a*s + 12*i**2*s - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d. Let o be ((-140)\/(-75) - 2) + 124\/30. Let j(b) be the third derivative of 0*b**3 + 0*b**o - 1\/20*b**5 - 4*b**2 + 0*b + 0. Determine j(h(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1385462187.99999981 + -1385462198. Let i = 11 + -1. Let m = w + i. Round m to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b - 20. Let z be (264\/14)\/(-3) + (-8)\/(-28). Let j be q(z). Find the second derivative of j*m - 128*m**3 - 12*m + 108*m**3 wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.69\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 + 16 + 37 + -9 - 7\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1\/3*o**3 + 8 - 7\/5*o**5 + 0*o**2 + 0*o**4 + 0*o. Find the third derivative of a(v) wrt v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 0. Let k = s - 5. Find the first derivative of -3*w + k*w + w + 5*w - 3 wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1336803629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*r**2 - 249*r**2 - 370*r**2 - 135*r**2 - 2 - 11*r**2 - 5*r**3 as s + a*r + y*r**3 + d*r**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.01483863 to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43432*j - 43418*j + 260 - 20 + 11 to the form k*j + c and give c.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -149\/4. What is the nearest to g in -1, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*q = 4*q + 12, -2*i + 6 = -2*q. Factor 10*s**2 - 10*s**5 - 6*s**i - 10*s**4 + s**3 + 15*s**5.\nAnswer: 5*s**2*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5303266 + -31?\nAnswer: -5303330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700\/25*5\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**4 + 475*v**3 - 3 + v**2 - 2*v**4 + 471*v**3 - 6 - 945*v**3 as l*v**3 + m*v**2 + j*v**4 + x*v + z and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5738 - -10.2192. Let h = 9.68 - -3.32. Let l = h - u. Round l to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 2, a: 2, n: 2}. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/(-16) - 5) + (-3)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31.9 (b) -9.08 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*4 + 1\/(-12 - 4) and 83\/196?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 9. Let j be (-1)\/2*-18*-1. Let p = -11 - -16. What is the remainder when m(j) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 4:54 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + -929)\/(34\/(-68)).\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22 and 651434?\nAnswer: 651412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 119982297 to the power of 1\/2, to the nearest integer?\nAnswer: 10954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2746520*y**3 - 3505862 wrt y?\nAnswer: 8239560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/19 - 4374*l\/19.\nAnswer: -2*l*(l + 2187)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*b - 2, 4*m - 5*b + 6 = -8. Suppose 1 = -4*c + 5*k - 5, -k = 2*c + 10. Let x = -34723 + 34725. Sort m, 1\/3, c, x in ascending order.\nAnswer: c, m, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9662616*b*k**2 + 4857554*k**2 wrt b?\nAnswer: 9662616*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2586841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2472 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 19 = 5*g. Suppose g*a - t - 58 = 0, -2*t - 3*t = 4*a - 58. Let x = -5 - -8. Calculate the highest common factor of x and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 32535659.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/45)\/((46\/552)\/(1\/(-14))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 870, 0.8, -10\/27, -0.3 in decreasing order.\nAnswer: 870, 0.8, -0.3, -10\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3 + 1 - 3)*(16 - 16 - 15*s**3).\nAnswer: 15*s**4 + 75*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 27 = 4*l + 11, -2*a + 4*l = -44. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 2*v - 6, s - 17 = -3*v. Solve 1 = s*a - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 520 - 36. Suppose u + y = -c - 1556, -10204 = 5*u + y. Calculate the common denominator of (-4)\/(-6) - u\/(-156) and 37\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*f**2 - 11556*f + 11556*f.\nAnswer: -616*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12353 - -24?\nAnswer: 12377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -17.8767?\nAnswer: -17.8767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 18*d**2 + 7*d + 7. Let l(v) = -v**2 + v + 8. Let g be l(4). Let x be y(g). Suppose -3*s - 33 = -x. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*a = 20, -j + 37*a - 41*a = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14332502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1172 - 906. Calculate the highest common factor of 238 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2 - 99*g + 2621. What is c(-25)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.13. Let s = -0.04 - 0.03. Let v = k - s. Sort 2, -2, v in descending order.\nAnswer: 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/4))**48*b**0\/b**4*(b\/b**(-1))**48*b**(2\/15)*b**(2\/21)\/b assuming b is positive.\nAnswer: b**(4453\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 11:17 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*5*55\/((-1119250)\/(-330)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4078 - -16231\/4. What is the common denominator of t and -117\/370?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3*g**2 - 144*d**2*g**3 + 57*d**2*g - 6*d*g**3 - 4158*d*g**2 wrt d.\nAnswer: -24*d*g**2 - 288*g**3 + 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/2*24\/(-540). Let r = -0.01 - 3.99. Let w be ((-8)\/(-3) - 2)\/2. Which is the second biggest value? (a) r (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b = 32*b + 5*z + 5, 0 = -b + 5*z + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1494 or -1495?\nAnswer: -1495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let w = -8 + 10. Suppose 2*q = w - 0. Let v(b) = q + 27*b - 28*b - 1. Give h(v(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38589 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 59*j + 0 + 0 - 84*j + 27*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/(-63) + 12\/(-14)*-1. Suppose z = -r, -5*b + 16774 = -b - z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -76\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, f: 7}. What is prob of sequence vvf?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 770\/50 - (-2)\/(-5). Suppose -9 = 2*z + 3*u, 0 = u - 4*u - t. Suppose k + 109 = z*f, f - 1 - 34 = k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29, -110, -241, -422, -653, -934, -1265?\n\"Answer: -25*c**2 - 6*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/1612*16\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/2 + (-24)\/(-18). Let z be (t + -3 + 1)*-2. Let i be (26\/z)\/(-1 + (-2)\/(-1)). Calculate the highest common factor of i and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28521 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 10*s**2 - 8*s + 10. Let u be h(-9). Which is smaller: u or 3\/1055?\nAnswer: 3\/1055","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3. Let z be m(-1). Solve 2 = -2*p - z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23268*b**2*n**2 - 212*b**2*n - 4*b**2 - 7 wrt n?\nAnswer: 46536*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10970880 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 r when four letters picked without replacement from {r: 3, i: 3, o: 6, q: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w + 1491 + 45*w**2 - 83*w**2 - 1495 + 0*w to the form k*w + j*w**2 + s and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 217605416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 87346 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = 5*c + 2*r, -2*r = -4*c + 6. Let n = c - -4. Suppose 0 = 4*i - 10 + 14. Put n, i, -3 in ascending order.\nAnswer: -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0 - 26)*(-3*b**4 + 4*b**4 + b**4).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450012 and 225006?\nAnswer: 450012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21051163 is divided by 701705.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -3*sqrt(119)*-3) + 2*sqrt(119)*1 + sqrt(119))\/(2*sqrt(756)\/sqrt(3)).\nAnswer: -5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**4 - 178*z**3 - 356*z**2 - 173*z - 3. Let q(t) = -13*t**4 - 358*t**3 - 712*t**2 - 347*t - 5. Let h(c) = -3*q(c) + 5*w(c). Factor h(v).\nAnswer: 4*v*(v + 1)**2*(v + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-9 + 7) - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -181, -742, -1677, -2986, -4669?\n\"Answer: -187*s**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 3*d**5 + 5*d**5 + (5*d**4 - 4*d**4 + 3*d**3 - 8*d**3)*(d + 4 - 4).\nAnswer: 10*d**5 - 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/21*(-30)\/(-4). Let r(n) = -n**2 - 11*n - 6. Let t be r(k). Suppose -t*q + 40 = 4*v, 8*q = 3*q + 4*v + 68. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416343 - 134290. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 48616 - 406618. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.3. Let g = -92 + 89.6. Let q = t - g. Is q greater than or equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(133) + (2*sqrt(133) + sqrt(133) + sqrt(133))*1)\/(sqrt(7) - (sqrt(175) + sqrt(175)*-2 - sqrt(175))) - ((2*sqrt(114)*-2)\/sqrt(6) + 0)).\nAnswer: -2 + 49*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1960*d**4*u**3 - 2*d**3*u**2 - 615*d**2 + 5*u**3 wrt d.\nAnswer: 47040*d*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244.704mg in grams?\nAnswer: 3.244704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 0, 4, 32, 0.06, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -76, -82?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x - 4. Let f(p) = p + 1. Let w(u) = -4*f(u) - n(u). Let k(l) be the third derivative of 0*l + 1\/24*l**4 + 0 + 3*l**2 + 0*l**3. Calculate w(k(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-56)\/7 + 7). What is the biggest value in w, 0, -25, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 3*u**2 + 3*u + 6. Let l be t(3). Solve -12*j + l*j = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*m**2 - 23 + 23 - 377*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6166983 divided by 4?\nAnswer: 6166983\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 234*s**2 + 225*s - 462.\nAnswer: 3*(s - 1)*(s + 2)*(s + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g - 1. Let w(u) = -8*u**5 - 84*u**4 - 296*u**3 - 378*u**2 - 134*u - 6. Let z(s) = -6*p(s) + w(s). What is m in z(m) = 0?\nAnswer: -4, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120332 (base 4) to base 3\nAnswer: -21210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 2*p**2 + 1. Let b(y) = 19*y**3 - 39*y - 11. Let m(r) = b(r) - 9*v(r). Factor m(d).\nAnswer: (d - 20)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 e when three letters picked without replacement from ececeec.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0491 - -0.877. Let y = p + -0.93. What is y rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 2 - (-12 + (-3)\/3). Let c(w) = -w**3 - 17*w**2 - 17*w - 11. Let m be c(-16). Solve -m*n + u = -4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 + 2 = 5*l, 0 = 3*l + 3*t - 45. Let z be (-4)\/18 - 8\/(-90). What is the closest to l in 6, 1, 0.2, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((8 - 3 - -15)\/(-2))\/(-2). Sort c, -6, 13 in ascending order.\nAnswer: -6, c, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 - 270. Let i = -14 - -9. Let l be 3\/3*7*(-3)\/(-63). Which is the smallest value? (a) i (b) -0.1 (c) l (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1856, -3074, -3630, -3524, -2756, -1326, 766?\n\"Answer: 331*u**2 - 2211*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1605*a - 5. Let s be q(1). Let g = -429 + s. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -2\/7, 3, 9\/5, 36\/11, -2\/9?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/38712 and -43\/474222?\nAnswer: 1896888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19113 and 4.\nAnswer: -76452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*s = 4*m - 4, 4*s + 12 = 4*m. Solve t + 4 = m*x, -5*x + 4*x - 3*t = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-6) + 6\/(-18). Suppose b*x + 69 = 225. Suppose 0 = 2*i + i - x. What is the remainder when 37 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 + -82. What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 11*q + 4. Let f(d) = -d**2 - 12*d + 369. Let c be f(14). Sort q, -0.29, c in descending order.\nAnswer: c, -0.29, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3820115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/3*4\/30)\/(-1). Let n be 4\/26*1\/1. Sort b, n, 4\/7.\nAnswer: b, n, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (744\/651)\/((-4)\/70)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d**2 - 4*d - 267. Let m be g(0). Let o = 262 + m. Let x(u) = u**2 + 6*u + 1. What is x(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (1 - 6)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = 0, -r - 26 = -3*n + 3*r. Let k(j) = j**2 - 8*j + 9. Let u be k(n). Let o = -4 - 0. Which is the third smallest value? (a) o (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4500 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**7\/84 - 23*t**6\/240 - t**5\/3 - t**4\/4 + 1136*t**2. Factor l(q).\nAnswer: q*(q - 6)*(q + 1)*(5*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3 or 13176?\nAnswer: 13176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/3)\/(5\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -601 - -975. Find r such that 36*r + v*r**3 - 129*r**3 - 90*r**2 + 36*r**2 - 133*r**2 + 3*r**2 - 25*r**4 = 0.\nAnswer: 0, 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -128*i**2. Let d(y) be the second derivative of y**4\/6 + 3*y + 13. Give z(d(s)).\nAnswer: -512*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675117 is divided by 3029.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**3*n**2 + 63*a**3*u + 6*a**2*n**2 + 16*a*n**2*u - a*n**2 wrt a?\nAnswer: 24*n**2 + 378*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/8)*w**(5\/2)\/w)\/(w\/(w**(-3)\/w)*w**(-6)\/w) assuming w is positive.\nAnswer: w**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 1052*g**3 - 251940*g**2 - 10201700*g + 98260000 = 0. What is g?\nAnswer: -85, 8, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13, -1.3, 0.2, 0?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r + 3. Let m be p(-1). Suppose w + 25 = 6*w. Factor 12*g - m - 4*g**2 + g**2 - w.\nAnswer: -3*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 426320\/9 + -47372. Let m be 12\/9*(-1 - 2). Is m at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -12*f - 45. Let u(a) = -12*a - 46. Let n(l) = -6*o(l) + 5*u(l). Differentiate n(d) with respect to d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*m + y - 11, -5*y = -7*m - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 117 - 440 + 94 - 757 - 70 to the form t + g*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -39, -0.1, -759, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - 2*s)*(s**2 + s**2 + 0*s**2) + (2*s - 2*s + 2*s**2)*(-2 + 2 - 3*s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 12*h**2 - 10*h - 14. Let y be d(11). Let j be (y - -4)*(-12)\/90. Let q = -2.161 - -2.561. Sort j, q, -4\/9, 0.1 in increasing order.\nAnswer: -4\/9, j, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, e: 2, s: 10}. What is prob of picking 3 f and 1 s?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*1*(-5)\/20. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*b - 574 + 574)*(-97 - 267 + 684).\nAnswer: -16320*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160270, 160312, 160354, 160396, 160438, 160480?\nAnswer: 160522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(((-4)\/470)\/((-1)\/(-5))) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(4*(-4)\/2112). Suppose -13*c + 2*c = q. Sort -4, 0, c in ascending order.\nAnswer: c, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 9) in base 12?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -15*m**2\/2 - 15*m + 53. List the prime factors of y(-10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 * -24022.789\nAnswer: -103297.9927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3339 (b) 1\/19 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.674162 micrograms to kilograms.\nAnswer: 0.000000001674162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**7\/360 + a**4\/3 + 25*a**2\/2 + 59*a. Let q(v) be the third derivative of n(v). Let c(p) = -3*p + 5 - 5. Give c(q(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**2 - 2*w - 1. Let t(z) = z**3 - z**2 - z + 1. Give -m(n) - t(n).\nAnswer: -n**3 - 7*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j - 6. Let m be (1\/(-1))\/(3\/(-3)). Which is the nearest to 2\/3? (a) m (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 0)*(-1 + 1 - 3) + 2 - 1 + 1)*(2*s**2 + s**2 + 2*s**2)*(-3*s - 3 + 7 + 2*s) as r*s**2 + p*s**3 + a*s + l and give r.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*a + 14360 = -367*a + 92*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(187) - -1*sqrt(187)) + sqrt(187) + sqrt(187) + (sqrt(187) - (-3*(sqrt(187) - 1*sqrt(187)) - sqrt(187) - sqrt(187))))\/(4*4*sqrt(891)*-3).\nAnswer: -sqrt(17)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c. Let z(d) = -27*d**2 + 2. Determine f(z(u)).\nAnswer: 54*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14568.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 323919 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 572 - -55. List the prime factors of r.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*j + 18 - 2 = 0, 3*q = -4*j - 15. Let i be q\/2*(-1 - -1). Suppose i*m + 3*m = 159. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7 + d**2 - 4 + 4 + d. Let i be t(3). Factor 4*r**5 + 14*r**5 + 11*r**i - 4*r**5 + 4*r**3 + 20*r**4.\nAnswer: r**3*(5*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2 - 21\/7. Let u be (b\/3)\/((-3)\/63). Let o = -4 + u. Are 4 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w = 36*w. Suppose 7*j + 93 = 5*x + 4*j, w = -5*x + j + 91. Solve u - 13 = -x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-18) - (-2 + (-35)\/(-21)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.50605252 to two dps.\nAnswer: 7.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221223 - -3?\nAnswer: -221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(1700) - (3 + sqrt(1700) + 0 - sqrt(1700))))**2.\nAnswer: -170900 + 6000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*(q**16*q)\/q)\/q)\/q*q)\/q)\/q*q**(1\/3) assuming q is positive.\nAnswer: q**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200012 (base 3) in base 11?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-5 + 45\/6)*-182. Suppose -8*v = c - 1656. Calculate the highest common factor of v and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 6.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2635, 2, -3, 79.\nAnswer: -2635, -3, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6395 - 6393. What is the fifth smallest value in -2\/3, u, -2, -0.4, -0.09?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 20, -2\/3, -0.38, 58, -3, 1?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 26. Let w be 7\/(-21) + 5326\/3. Suppose 0 = m - b - 446, -b = -s*m - 4*m + w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -78*f + 1264. Give j(16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 3*o**2 - o**2 + (2 - 4 - 1)*(-4*o**2 + 3*o**2 + 0*o**2) + o**2 + 3*o**2 - o**2 - 353*o**2 - 25*o**2 - 19*o**2 as m*o + j + h*o**2 and give h.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 <= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 2.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**3\/3 - g**2 - 2*g - 242. Let m(z) = z**2 + 3*z + 3. Determine -3*f(x) - 2*m(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*1*(-128)\/(-40). Suppose -28 = -4*q - 0*q - 3*m, -5*q - 3*m = -o. Find the second derivative of 2*d**4 + d**q + 0*d - 5*d wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 10:37 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 5*g**3\/6 - g**2\/2 + 9*g. Let j be i(2). Let o(s) = -s**2 + 1 + j + 2*s**3 - s**3. Determine o(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.61 - 0.39. Let a = 104.96 + -104.91. Put 0.03, 3, l, a in decreasing order.\nAnswer: 3, a, 0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cff6 (base 16) to base 5.\nAnswer: -21344220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/64 and -19\/2496.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602260531 to the power of 1\/2, to the nearest integer?\nAnswer: 60019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 59.8?\nAnswer: -179.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) 1\/7 (b) 2 (c) -1435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99*(-98)\/8085)\/((-44)\/10).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*h = -68, -3*h = 4*j - 5*h - 84. Suppose j = -0*o + 4*o. Let c(s) = 4*s + 10. Let n(g) = -g - 1. Let r(t) = -c(t) - 5*n(t). Calculate r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 202\/6 + (-46)\/69. Suppose -4*a = -0*o + 5*o - 3, -4*o - 5*a = 3. Is o*j\/27*21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) 43\/56 (c) -3 (d) 1\/4 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {r: 2, y: 5, i: 1, d: 3, m: 6, q: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3\/5 (c) -3\/7 (d) -4 (e) 1\/44 (f) -1.225 (g) 12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -12. Let m(u) = u**3 + 5*u**2 - 3*u + 2. Calculate the remainder when 66 is divided by m(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1175299, -2350612, -3525927, -4701244, -5876563?\n\"Answer: -l**2 - 1175310*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14300 and 1760.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:01 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/68 and (-532)\/48 - -6*(-1)\/9?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 12231262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/24*(0 - -2). Let w = 21 + -11. Let g = -9.9 + w. What is the nearest to l in -5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 6. Let m be j(4). Let p(n) = 4*n + 3*n**m + 3*n**2 - 2*n**2 - 11 - 3*n**2. Is p(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + (-3 + -10 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11989 + -3?\nAnswer: -1198c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(7\/2)*u)\/(((u**(-12)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d + -3e1?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -4 - -4)\/(-1 - (-126)\/120). Solve 52 = s*a - 14*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50302 times 153?\nAnswer: 7696206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -40, -59, -78, -97?\n\"Answer: -19*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-11 + 29 - 14 - (-10 + 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11428957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.348 - 13.448. Which is the closest to z? (a) -28 (b) 0.4 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 10*f + 6 = 0, -4*f + 72 = 4*m. Solve -35*x = -m*x + 76 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 4*q - 834. Suppose -127 = 4*n - 3*s, 4*s - q = -0*n + 5*n. Let o = n - -34. Solve 2*x = -u - 1, 5*x - 3*u + 5*u = -o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**6\/40 + 3*n**4\/8 - n**3 - 2*n**2 + 3. Let r(j) be the second derivative of w(j). Factor r(a).\nAnswer: -3*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135118 divided by -6\nAnswer: 67559\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.2575 hours in seconds?\nAnswer: 1397727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6207*t - 1360 with respect to t.\nAnswer: -6207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qykkkkaqykqk. Give prob of sequence ky.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a**2 + 2*a. Let k be v(3). Let q(i) be the first derivative of 1\/3*i**3 + 1\/4*i**4 + i - 3\/2*i**2 + 2. Calculate q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234645569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4643 is divided by 166.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(24))\/(-2*sqrt(1008) + sqrt(7)))**2.\nAnswer: 3\/2116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136347881 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -252 (base 8) to base 6\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -45.6. Let y(q) be the third derivative of q**4\/24 - 2*q**2. Let i be y(-1). What is the nearest to 1 in i, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8742.858l in millilitres?\nAnswer: 8742858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550525 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42616269?\nAnswer: 3, 181, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 58*f + 176 + 368 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-1 + -1))*9. Let v = p - -9. Suppose -i = i - v. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 10.91818 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 110383?\nAnswer: -110393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -225, -0.5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 8, 5, 2, -1, -4?\n\"Answer: -3*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(475) + 3 - ((sqrt(931)*3)**2 + sqrt(19))).\nAnswer: -8373 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 - 1274*w\/9 - 6076\/3.\nAnswer: 2*(w - 651)*(w + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/8117 - 16208\/105521. Which is the fourth biggest value? (a) -1\/5 (b) -3 (c) -89 (d) 3\/5 (e) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 51. Suppose -3*w = 2*g + g - 81, -3*g - w = -73. Let x = g + h. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15209*q**2. Let t(r) = r**2 + 30*r. Calculate t(u(z)).\nAnswer: 231313681*z**4 - 456270*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - -1) + 0 + -3. Suppose -3*n + 24 = -3*u, -3*u = -4*n - 8*u + o. Calculate the remainder when 13 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7024246 tonnes to kilograms.\nAnswer: 702.4246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, 4, 1\/82, -15 in descending order.\nAnswer: 4, 1\/3, 1\/82, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.95*-0.67.\nAnswer: 1.3065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q. Suppose 2*i - i - 7 = -u, 3*u + i - 13 = q. Suppose -r + 19 = -u*l, l + l - 14 = -2*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*4 - (-189)\/7. Differentiate -6 + 57*t**2 - 13 - 9 - z*t**2 wrt t.\nAnswer: 56*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -877, -878, -879, -880, -881?\n\"Answer: -o - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 8*c**2 - 11*c + 4. Let i be s(-6). Let k = -28 - -30. Put -1, k, i in increasing order.\nAnswer: i, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 771 - 135 - 129 - m - 376 - 3*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -19037\nAnswer: 5\/19037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpc when three letters picked without replacement from {a: 3, p: 6, c: 1, j: 4, t: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b**2 - 2*b + 2. What is the remainder when 19 is divided by z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 25 = 5*q. Factor -3*f + 3*f**4 + 3*f + 2*f**3 - 2*f**q - 2*f**2 - f**4.\nAnswer: -2*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523*m - 518*m + 2*h - 127 = 0, 4*m - 3*h - 74 = 0. Calculate the lowest common multiple of 43 and m.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l**2 - 17*l + 14. Let j(o) = 11*o**2 - 17*o + 10. Give 4*j(x) - 3*k(x).\nAnswer: 5*x**2 - 17*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -28*v + 32*v - 52, 29 = 2*k - v for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Suppose 0 = 3*u + l - 8. Suppose -2*n - 2*a + 4 = 0, -2*n + u*a = -0*n - 4. Solve 4*z + 4 + 16 = n*b, 5*b - 32 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390790827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/272*-39*408\/(-24).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -28. Suppose 4 = -4*q - b. Which is smaller: 3\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, r: 3}. What is prob of picking 2 f?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-36))\/((-3)\/(1914\/(-11))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6813.655l in millilitres?\nAnswer: 6813655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/(882\/(-28))*(-14)\/34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 11201012?\nAnswer: -11201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-960)\/50*16)\/(6\/(-460))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 206\/36 - 0\/15 and (-1)\/4 - (-189)\/(-36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/17, -1\/4, 0.5, -3\/5, -1, -0.2, -11795?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 551*g + 552*g - 1105*g. Let t(o) = 287*o**2. Give t(v(q)).\nAnswer: 1148*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q + 0)*(-184*q + 184*q + 5*q**2).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -23573 and -23574 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/4 + (-6)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90807.41 rounded to the nearest one hundred?\nAnswer: 90800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 3*p - 7. Let f(a) = 2*a**3 - 4*a + 7. Let u(s) = 4*f(s) + 5*j(s). Let v be u(2). Solve v - 5 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + 36\/8. Suppose -2 = u - x, -3*b + 22 = -4*u. Suppose 3*h - b = -y, 4*h - y - 14 = h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 15*c - 24. Let u(l) = 7*l - 11. Let g(q) = 3*b(q) - 7*u(q). Let n(p) = 2 - 7 + 4*p + p. Let z(j) = -6*g(j) - 5*n(j). Give z(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*s + 3*m + 11 = -500*s + 996*s, 2*m = 4*s - 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (32*(-36)\/1152*1\/1)\/((-4)\/(-116))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323665 is divided by 17981.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/12)\/(-1)*-3. Solve 3*j = f*q + 6, 3*q + 3*j + j + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35163844 and 5933?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-72))\/((-4)\/(-6)). Solve 4*f - c + 9 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7625 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 2*o - 2*o)*(49*o**2 - 68*o**2 - 3*o - 100*o**2 + (o - 3 + o - 3*o)*(o - 7*o + 4*o)) in the form r*o**3 + v + q*o + s*o**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20939 is divided by 676?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/(373\/(-373))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.6 + 15.6. Is r > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:42 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 4*f**2 + 2*f**2)*(-18*f**3 + 171*f - 171*f) + 7*f**5 + 11*f**4 - 10*f**4 + 3*f**4.\nAnswer: -29*f**5 + 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 13*q - 3. Let w = 32 - 27. Let c(x) = x**2 + 6*x + 2. Let u(m) = w*c(m) + 2*t(m). What is the tens digit of u(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1188 = -5*v - v. Let d be (-16)\/(-32)*6*26. Let h = v - d. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngnngnggggn. What is prob of sequence ggg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 10*d**4\/3 - 2758596*d**3 + 570739995270*d**2 - 1369750830296*d\/3 - 1369770692168 = 0.\nAnswer: -6\/5, 2, 413789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 24*g**2 - 6020*g + 16890. Give o(248).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -2, 18.\nAnswer: -2, -1, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1868246 millilitres in litres?\nAnswer: 0.0001868246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9838348*y - y**3 - 2909662*y + 8466*y**2 + 5678318592 + 30*y**2 + 717674*y - y**3.\nAnswer: -2*(y - 1416)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let q(n) = -2*n. Let g(m) = -q(m) + 3*v(m). Suppose -17*z - 35 + 103 = 0. Let k(o) = -z*o + o + 5*o - o - 4*o. What is k(g(i))?\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 5, 4.5, -10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*r**3 - 1 + 1285*r**2 - 104*r**3 - 642*r**2 - 643*r**2 + 17.\nAnswer: -18*r**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i + 42. Determine w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.31 - 2.61. Let y = 17.7 - x. Which is smaller: 1\/16 or y?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3)*o**(8\/3))**(-2\/7))**(1\/35) assuming o is positive.\nAnswer: o**(-4\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 28 + 84 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 - 195. Let c = i + 23. Which is smaller: c or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005966 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -161 + 1129\/7. Let m = -8.4 - -8. Let y = 4 - 0. Which is the nearest to h? (a) y (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b**3 - 14*b**2 - 23*b + 15. Let u(q) = -9*q**3 - 14*q**2 - 22*q + 16. Let n(v) = -6*u(v) + 5*w(v). What is n(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 0.24, -3, 7, -4\/3 in descending order.\nAnswer: 7, 0.24, 0.13, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 112 = b + 3*b, 15 = 5*b. Solve 0*c + x = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(3 - 7\/2). Let q = -8 + i. Suppose -c + q = -0. Solve -l = c*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (4 + -2) - -5. Let z = -0.442 + 0.042. Which is the third smallest value? (a) m (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51622 - -212?\nAnswer: 51834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -a45a?\nAnswer: a45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 21. Which is the nearest to j? (a) 2 (b) 1\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151437077*j**5 + 557975803*j**2 wrt j.\nAnswer: -9086224620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**3 + 2*i**2 + 23*i - 17. Let j(u) = -5*u**3 + 3*u**2 + 22*u - 18. Let w(d) = -3*j(d) + 2*k(d). Solve w(c) = 0 for c.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/8091 and 129\/620?\nAnswer: 161820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99*c*r**3 + 29265*c*r**2*z + 246*r**3*z - r**3 + 24*r**2*z + 22*r**2 - 3*r - 2*z wrt c?\nAnswer: 99*r**3 + 29265*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 11310322312?\nAnswer: 11310322322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1847b (base 14) in base 7?\nAnswer: -343414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 99, -42?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 2*n - 2, -3*n + 2 = -5*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/24093090 and 15\/49.\nAnswer: 168651630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -2 - (-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 10*h**2 - 10*h + 78. Calculate r(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03217 and -5810?\nAnswer: 5809.96783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5212 + -0.2212. Suppose -q + 26 = -5*x, -x = -2*x + q - 2. Which is the nearest to 5? (a) x (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 + (-2)\/13 + (-106)\/(-13) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 740525187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1308914.\nAnswer: 1\/654457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 11*y + 44. Let v be g(-14). Suppose 5*m = -v*p + 4, -4*m + 8 = 3*p + p. Solve 4*r + f + 16 = 0, p*f - 6*f = 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28030451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5328059?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k + 51 - 299 = 166. Solve -k = 11*x - 17*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156434 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -5*i**3\/3 - 5. Let u(x) = 3*x. What is m(u(d))?\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -14*b - 96. Let s be q(-7). Suppose s*i + 2 = 0, m + 2*i = 6*i + 63. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176286*g**2 - 16*g + 16*g - 239061*g**2.\nAnswer: -415347*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - -3)*(-350)\/105. Let u(h) = h**3 - 22*h**2 + 39*h + 2. Calculate u(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, 4, -11, -2 in decreasing order.\nAnswer: 14, 4, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*i - 19 = 0, -i + 4*i + 6 = -3*j. Suppose 0 = j*c + 2*c + 15. Is 19\/(-1)*(c - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 78\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350988 and 40.\nAnswer: 3509880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.14 - -0.015. Let x = h + 0.125. Sort -1\/5, x, -2\/5, -2\/13.\nAnswer: x, -2\/5, -1\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 + 104*y\/7 - 100\/7.\nAnswer: -4*(y - 25)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 675\/2 + -338. Let t be (-4)\/3*(-1)\/(-4). Suppose 9*n - 46 + 19 = 0. What is the fourth smallest value in -0.1, t, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4477 and 35.\nAnswer: 156695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:53 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 89*z - 1569. What is the remainder when 312 is divided by n(-59)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*h + 35*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61168*p**4*z - 74*p**4 + 480186*z + 279 wrt p.\nAnswer: 244672*p**3*z - 296*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170120508 divided by -28353418?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -307*z - 48. Is s(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2961 = -5*v + 27555, 5*x - 24380 = -4*v. What is v rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**5 - 280*b**4 - 1188*b**3 + 280*b**2 + 1184*b = 0. Calculate b.\nAnswer: -4, -1, 0, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15319641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - 0.1. Let t = -10.89 + 10.91. Let u = o + t. Put u, -0.4, -2 in increasing order.\nAnswer: -2, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/u)\/u**(2\/7)*(u**(-1))**(-30)*(u\/((u*u**6*u)\/u)*u*u**(3\/7))**(-18) assuming u is positive.\nAnswer: u**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7830, -1, -0.1, 11, 0.5 in decreasing order.\nAnswer: 7830, 11, 0.5, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/11)\/(v\/((v*(v\/((v**(-11)*v)\/v))\/v)\/v)*v) assuming v is positive.\nAnswer: v**(95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869623157?\nAnswer: 13, 157, 426077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f + 13. Let p = -16 + 38. What is the remainder when w(-3) is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1254*u - 682. Let q(x) = 33*x - 18. Let p(b) = 77*q(b) - 2*y(b). Let i be p(-3). Let d = -119 - i. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -155*k**8\/336 + k**6\/40 + 7*k**4\/24 + 55*k**3\/6 - 135*k**2. Find the second derivative of f(z) wrt z.\nAnswer: -3100*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19089 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/20 + 3*k**4\/2 + 3*k**3 - 2*k**2 - 2*k + 755. Determine z(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -70a9 - 484?\nAnswer: -7582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 0.16. Let d be (-8)\/12 - (-2)\/2. What is the nearest to d in o, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i + 9. Let x(q) = q**2 + 3*q + 4. Let p be x(-2). Let j(y) = -2*y - 3. Determine p*g(l) + 7*j(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2616803 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 9*z**2 + 6*z - 10. Let k be h(-8). Let j be ((-1)\/3)\/((-1)\/k). Suppose -j*x - 2 = -3*x. Solve -15 = -2*f - 5*d, -x*d = -4*f - 3*d - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:26 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -0.2, -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 1 + 1 + (2 + 1 - 1)*(-6 + 7*v + 6)*(3*v - v - 3*v))*(-6*v**2 + 43 - 43).\nAnswer: 96*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*t + 5*t - 16, 2*t = -4*o + 12. Let s be (-390)\/(-18) + o\/(-6). Calculate the highest common factor of 63 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3 + 14*w**2 + 3*w - w**3 - 7*w**2 - 1 + 2*w**3. Let y be p(-6). Suppose -157 = -2*u - 45. What is the greatest common divisor of u and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c - 32*c = 181450. List the prime factors of c.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10594839 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.5, -21595?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 2*b**3\/3 - b. Let i be -5 - (2 - 2 - 7). Let l(k) = 2*k - 1217*k**2 - 2*k + 1214*k**i. Give l(m(g)).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-3 - 5)) + -7 + 1 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5240368601+845\nAnswer: 5240369446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/2*(-8)\/6. Let j = -53 - -93. Let v = j - 28. What is the greatest common factor of v and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v = 0, -5*v - 90 = -l. Let n(d) = 14*d**3 + 2*d**2 + 2*d + 1. Let i be n(-1). Let r = i + 23. What is the greatest common divisor of r and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3 - k**2\/2 + k - 2360. Determine n(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110720 divided by -22144?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 1. Let v(x) = 7*x + 7. Let p(d) = v(d) - 6*z(d). Let r be p(2). Suppose r*a + 2*f - 12 = 6*f, 0 = -3*a - f - 3. Solve a = -0*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 0*c**4 - 1\/60*c**5 + 2 + 0*c + 0*c**3 - c**2. Let u(l) be the second derivative of v(l). Factor u(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 14*u = 0. Suppose -3*n + 4*s + 13 = u, n + 0*n - 5*s = 19. Sort -4, n, -5.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*m**2 - 68*m**4 + 396*m**2 + 128*m - 18 - 78*m**4 + 34*m**4 - 118*m**3 - 434*m = 0.\nAnswer: -3, -3\/56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 6*t**2 - 22*t + 145. Determine l(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-4)\/m))\/m)\/((m\/((m*m\/(m*m\/(m*m**(-2))))\/m*m)*m)\/m)*(m\/(m\/(m*m\/(m\/(m*m**(-1))))))**(-1\/3) assuming m is positive.\nAnswer: m**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 17129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2593 + -4?\nAnswer: 258b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 307\/904, -2\/3, 3\/5 in increasing order.\nAnswer: -2\/3, 307\/904, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -22*g**5 - 3*g**4 - 13*g + 3. Let d(b) = -43*b**5 - 5*b**4 - 27*b + 5. Let v(k) = -3*d(k) + 5*s(k). Find the second derivative of v(o) wrt o.\nAnswer: 380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14855 - -29813. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = g + 2*w, -9*g - w = -12*g + 88. Solve -13*a + 108 = -g*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86881 + 2d?\nAnswer: -86852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 112517.9 kilograms?\nAnswer: 112517900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 7. Let u(q) = 3*q - 27. Let t(c) = -15*d(c) + 4*u(c). Suppose -3*r + 7 - 13 = 0. Let x be t(r). Solve -5*l - x*g = 6, -2*l - 6 - 3 = -g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 48 + -28 - 36\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/8*764\/573\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212273 is divided by 710.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - 7) + 7695\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38160 or 38182?\nAnswer: 38182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2600, -5204, -7806, -10406, -13004?\n\"Answer: p**2 - 2607*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -72, -16, 0, -78 in decreasing order.\nAnswer: 4, 0, -16, -72, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 109 = -45. Suppose 0*o - 2*p = -4*o + 202, o - 5*p - r = 0. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 2084*v - 2079*v + 26 - 2*v**2 in the form u*v + s + z*v**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 14*r. Let n(c) = 9*c**2 + 2*c**2 - 10*c**2 + 2*c**2. Calculate n(d(x)).\nAnswer: 12*x**4 + 168*x**3 + 588*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 4, -5306, -8, 6, 5 in decreasing order.\nAnswer: 6, 5, 4, 1, -5, -8, -5306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrxxqxj. Give prob of sequence jxr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -372*o**3 + 739*o**3 - 371*o**3 + 29*o**2 as v*o**2 + x + s*o**3 + p*o and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:44 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 2*o - 5. Let d be (-55)\/10 - 1\/(-2). Let h be n(d). Solve 0 = -3*j - h - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*i + 896*i + 894*i - 3624*i + 924*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*b + 31 = 8, -3 = 3*j - 3*b. Solve j*n + 4 = w, n - 2*w = -w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93465 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*t = 37 + 2, -2*r = -3*t + 3. Solve -7*v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 3:19 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 4*r**2 + 2*r - 4. Let k be u(-5). Suppose 12*n + 40 - 92 = -4*w, -n + 51 = 5*w. Is w at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r**2 + 3*r**2 - 5*r)*(-6 + 7 + 2 + r).\nAnswer: 5*r**3 + 10*r**2 - 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-1 + 0)) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 22*y - 21. Give o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1224\/300 - 8) + 4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.37 - -5. Let p = -0.07 - f. Let x = 0.5 - p. Which is the closest to 3? (a) -2\/5 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b9e2 (base 15) in base 4?\nAnswer: 202111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + -13c1?\nAnswer: -140a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145 - (-74245)\/558)\/((2\/4*10)\/(-4)).\nAnswer: 86\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21030043241 - -11?\nAnswer: 21030043302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 - 58*h\/5 + 3192\/5.\nAnswer: -2*(h - 28)*(h + 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 divided by 33?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - 44) + 25 + 1063*4?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -2.1. Let n = -0.03 - 6.97. Let h = n + r. Which is the closest to 0.1? (a) 5 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664.6154t in kilograms?\nAnswer: 664615.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*w = -w + 6, -3*w = 4*p - 12. Solve -5*o - 4*z + 2*z = 30, -31 = 4*o + p*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/8 + 7621*b**3\/8 - 4833615*b**2\/8 - 8072121*b\/8 - 1615441\/4 = 0. Calculate b.\nAnswer: -1, -2\/3, 1271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 = 1. Let n(m) = -m - 1. Let r(s) = -7*s - 8. Let q(w) = -6*n(w) + r(w). Let g be q(l). Solve -4 = -g*y + 6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/(-342)*42439\/2782. Let s = b + 3\/2782. Let k = -7398 + 162711\/22. Find the common denominator of s and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:12 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3 + 1472*a**2 + 1986138*a - 13974408 = 0. What is a?\nAnswer: -699, 7, 1428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 786646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25484062595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 87. Let n be z(15). Which is bigger: n or 9\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893*a**2 + 1475*a**2 + 416*a**2.\nAnswer: 2784*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -196735 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**4\/6 - z**3\/2 + z**2\/2 + 540*z - 1. Let w be (-2 - 16\/(-2)) + -2. Calculate r(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203920 and 37580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -478, -714, -950, -1186?\nAnswer: -1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (17 + -10 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - x - 2*x)*(41905 + 66025 + 142067 - 18161 + 27314 - 21401) to the form h + d*x and give d.\nAnswer: 475498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m + 32 - 7*m - 4*m. Let p(u) = -5*u + 11. Let n(x) = -6*j(x) + 17*p(x). Let r(f) = -2*f + 2. Determine 3*n(z) + 8*r(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 6\/20*106 + (4\/(-4))\/(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72533.35 years in decades?\nAnswer: 7253.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 23*k - 253. Let s be l(11). Suppose 14*o + 5*o - 13984 = s. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2184205220?\nAnswer: 2, 5, 17, 109, 58937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:49 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.4, -4461, 29\/5 in increasing order.\nAnswer: -4461, -0.3, 0.4, 29\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 40 = 47*a + 14. What is the smallest value in 2\/13, 0.94, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/((-160)\/32).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 18 - -12 - -1 - 7) + -52 + -15?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 9*w + 25. Let v be b(5). Suppose -v*j + 8*j - 45 = 0. Suppose 3*p - 113 - 19 = 0. What is the remainder when p is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4144 and -125\/11424?\nAnswer: 422688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -2\/3*z + 3 + 0*z**3 + 2\/15*z**5 + 1\/3*z**4 - 2\/3*z**2. Factor s(v).\nAnswer: 2*(v - 1)*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721250 (base 13) to base 15.\nAnswer: 377bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 - 40*d + 5. Let g(b) = -b**2 + 9*b + 1. Give 12*g(t) - 3*s(t).\nAnswer: 3*t**2 + 228*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(240) - -2*sqrt(375))\/(-1*sqrt(50)\/(sqrt(1440)\/sqrt(4))).\nAnswer: -108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 13*q + 37. Let p(a) = a**2 - 2*a + 10. Let j(f) = p(f) - u(f). What is j(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 8*x = -3*p + 10, 12 = 4*p + 4*x. Solve -p*f - 7*f + 18 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2)*30\/70*-7. Let m(t) = -2 + 5*t - t - 3. Let x(w) = -2*w + 3. Give c*m(d) - 5*x(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:11 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836 is divided by 89?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110935409 to the power of 1\/2, to the nearest integer?\nAnswer: 45945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-27)*y**37*y)**(-32) assuming y is positive.\nAnswer: y**(-352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = k - 5 + 8, 2*k = 5*u - 27. Let b(l) = 8 - 6*l - 28*l**3 + 4*l**2 - 2*l**2 + l**2. Let z be b(k). What is z rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*u + 73, -p - 48 = -2*u - 0*p. Suppose -u = -8*m + 17. Let t(c) = -c**2 - 7*c + 18. Let l be t(-6). Solve -m*h + 4 = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24090 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92287.\nAnswer: 13, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-6))\/(24\/(-27)*(-108)\/288).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003302 to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20699 <= 20703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p. Suppose 5*b + s - 94 = p, 3*b - 2*b - 26 = -2*s. Let u(k) = k**3 - 8*k**2 + 12. What is the lowest common multiple of u(8) and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.09 - 43. Let q = -0.21 + d. Let p = 0.12006 + q. What is p rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 22)\/(-6 + 7). What are the prime factors of ((-8)\/i)\/((-1)\/(-3)) + 103?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-10))\/((-2)\/10). Suppose -2 + g = r, 0 = -4*m + r - 3. Suppose -90 = -5*z - m*z. Calculate the remainder when 87 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140858729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:11 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 435765*v**6 - 2*v**2 - 1545*v - 9 wrt v?\nAnswer: 52291800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*n**2*o - 416*n**2 - n with respect to o.\nAnswer: 95*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3304 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 936977620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from ooooxooooooxlfono.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 396 = -6*o. What is the lowest common multiple of 20 and o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80115 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*3*sqrt(1331))**2 + 1*sqrt(1331) + -1 + sqrt(1331) + -5.\nAnswer: -191670 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/36*40\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 3.5. What is the closest to -2\/9 in 1, h, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2061147042 divided by -4.\nAnswer: 1030573521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.556185 milliseconds to days.\nAnswer: 0.0000020550484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-8 + 6 - -9) - (1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 73. What is the first derivative of r*h**4 - 6 - 5*h**2 - 34*h**4 + 5*h**2 wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b7 (base 13) to base 9\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - sqrt(19))*-6 + sqrt(171)\/(2*sqrt(9)) + 3)*-1.\nAnswer: -3 + 35*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:48 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -616 + 616.411. Let l = 3.589 + b. Sort -13, -5, l in decreasing order.\nAnswer: l, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Suppose 2*l = l. Suppose -2*k - 3*k - 15 = l. Which is the third smallest value? (a) -4 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1100.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 372\/5 + -74. Let s = -983 + 982. Which is the closest to -1\/5? (a) 5 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -174*r**4 + 500*r**3 + 134*r**4 - 1008*r + 3*r**5 + 2*r**5 - r**5 - 1024 - 224*r**4 + 784*r**2 = 0.\nAnswer: -1, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -0.1072.\nAnswer: 0.018224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*i**4 - 605396*i**3 + 37832816*i**2 - 17019772*i + 1788520 = 0. Calculate i.\nAnswer: -3665, 1\/6, 2\/7, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frfeggegeb. What is prob of sequence rf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 15}. Give prob of picking 2 i.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.01*-2.\nAnswer: -46.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1385074 and -37\/66?\nAnswer: 45707442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6366 - -9646. Let a = 239461\/73 - l. Let p = a + 3607\/657. Calculate the common denominator of 83\/4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46968563 is divided by 165.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccyy when four letters picked without replacement from ycyyycccyy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (-45)\/35) + (4 - 1). Let a = 2.2 - 2. Let z = -0.37 + 2.37. Sort a, j, z, -5 in ascending order.\nAnswer: -5, a, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 12. Suppose -4*o + 0*o = -40. List the prime factors of h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/3*2\/(-5). Suppose 5*i = 3*m + 104 - 7, -v*i + 5*m + 75 = 0. Let d = -90 + 129. Calculate the remainder when d is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/3, -1\/4, 495, -0.07471, 4, 5\/6?\nAnswer: -0.07471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(3 - 4 + 2) + 4 - 4 - 2 + 2 + 0 + 0 + 2 + 1 - 2 - 2 + 3 + 2 - 3 + 2 + 3 + (1 - 1 + 2)*(0 + 0 + 2))*(-1 - 5 + 5)*(0*c - 5*c - 3*c).\nAnswer: 88*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -1\/2, -5\/3, -0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0. Let m = 8981 + -8976. Let l be (1 - 0\/(-1))*3. What is the third smallest value in l, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*z = -2*p - 11, 12 = -4*z. Suppose 0 = -p*g + 41 + 167. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - 19*o**2 - 16. Let f be j(13). Suppose 54*g = 40*g + 42. Suppose 0 = g*i + 54 - f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 15, -5, 0, 5, 3.\nAnswer: -5, 0, 3, 5, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18588.16um to centimeters.\nAnswer: 1.858816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 28662*g**3 - 216309825*g**2 - 154526277244*g.\nAnswer: -g*(g + 796)*(g + 13933)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104434735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**4 - 4*a**3 - 7*a**2 - 4. Let c(w) = w**5 - 9*w**4 + 9*w**3 + 14*w**2 + 9. Let r(h) = -9*b(h) - 4*c(h). Find the third derivative of r(g) wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -45. Suppose 0 = m*s - 3*o - 13, 7*o = 5*s + 3*o - 14. Suppose 0*c + 4*c = -s*t + 134, -4*t + c + 259 = 0. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*5*3\/10. Let g be 4\/6 + -1 - (-5781)\/r. Let b = g + -434. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b + 48*b - 64*b. Let r(m) = -m - 3. Let o be r(-6). Let x(y) = 2 - o*y**2 - 2. Determine l(x(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 6, e: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150*y**3 - 5392*y**2 - 33312*y + 1792.\nAnswer: -2*(y + 8)*(y + 28)*(75*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*j + 75 = 125*j. Suppose -14*m - 1 = -j. What are the prime factors of (20 - m)\/(13 + -14)*-3?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60360 to the nearest 1000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**3\/6 - 3*f**2 + 5*f. Let d be i(-9). Solve -d*b = -b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 253 = -662. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -3.54. Let q = 0.36 + h. Let w = q + 0.15. Round w to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -2*v + 1, g - 2 = v. Let f = -819 + 819.06. Put 4, 0.3, v, f in decreasing order.\nAnswer: 4, 0.3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*f + 83*f - 33 = -1997 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*t + 2)*(2 - 10*t - 2 + (-1 + 3 - 1)*(2 + t - 2) - 3*t + 5*t - 4*t)*(-2*t + 3*t + 0*t)*(1 - 3 + 3).\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 9. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180) - (1 + (sqrt(180) + -4 - sqrt(180)))) + 1 + -2.\nAnswer: -1 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3141656 + 13?\nAnswer: -3141643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exrom. Give prob of sequence xrom.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1434 = -22*v + 1602. Let l be (-9)\/36 - 1829\/(-4). Suppose u + l = 4*i, 4*u - 35 = i - v. What is the greatest common divisor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97 in -0.15, 4\/2415, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1 - 3*j**2 - 11*j - 2*j**3 + 11*j. Let t(c) = 3*c**3 + 3*c**2 + 2. Let n be (-4)\/(-10) - 34\/10. Let k = -359145 + 359141. Determine k*p(f) + n*t(f).\nAnswer: -f**3 + 3*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 - -331?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {i: 1, l: 1, x: 1, u: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2\/(-14)) + 0. Let m = -309 - -303. Put m, s, 3 in descending order.\nAnswer: 3, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21592, 21927, 22262, 22597, 22932, 23267?\n\"Answer: 335*q + 21257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z + 4. Let t(m) = 2*m**2 + 8*m - 1. Let r be t(z). Let l = 35 - r. Solve -j + 3 = -4*y, 3*j + 5*y + 3 - l = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*c**5 + 2*c**4 + 3*c**2 - 34 wrt c.\nAnswer: -9120*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/644685 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f + 1. Give a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l + 27*l + 26*l + 0*l in the form t + y*l and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, 1.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 0*r**2 - 7 - 6 + 15 + 4*r + r**2. Let q be o(-4). Suppose 4*z - q*h - 56 = 0, 2*z - 56 = -2*z + 5*h. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a minute in seconds?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxkkkkkxxxkkhxke. Give prob of picking 1 x and 1 e.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1222 (base 12) to base 14.\nAnswer: 5dc26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29806025537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from vgyggqvvyvgyvgv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-825)\/(-35))\/(-5) - -5. What is the nearest to -1\/2 in i, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7573.248s?\nAnswer: 7573248000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) 10 (c) 57\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-68952)\/(-1352) - (2 + -34)*1\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2167725 and 3885.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 67*t. Let z(i) = -2986*i**2. Give z(l(w)).\nAnswer: -13404154*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or -542.82?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d - 10. Let p(w) be the first derivative of -11*w**2\/2 + 8*w - 21. Let x(a) = -6*p(a) - 5*r(a). Determine x(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/33840 and -17\/19317.\nAnswer: 4636080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7225*g + 7229*g - 304 = 0, 5*f - 4*g - 470 = 0. Suppose -2*z - 2*z = -344. Is f > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -251, -558, -987, -1538, -2211, -3006?\n\"Answer: -61*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0\/m)**(-6\/13)\/(m**(-2\/27)*m**6\/m) assuming m is positive.\nAnswer: m**(-133\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aacaacc. What is prob of sequence cc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1439.4 + 1439. What is the nearest to 2\/3 in y, -5, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 2*d**2 - 29 - 7*d**3 + 93*d**3 - 29.\nAnswer: 86*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 555872951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - q - n = 0, 0 = -q - 4*n - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 42*t - 66. List the prime factors of g(7).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*4*(-3 + sqrt(3))**2*-2.\nAnswer: -48*sqrt(3) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*o - 2*o. Suppose -5*n + 7 = -o. Let s(h) = h**n - 4*h**2 + 4*h**2. Let b(g) = g**2. Determine b(s(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:11 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.032 litres to millilitres.\nAnswer: 41032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(475) - sqrt(475) - (sqrt(19) - 3*sqrt(1216)))**2*4.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/4)\/(-3))\/((-5)\/(-50))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3231, 6800, 10367, 13932, 17495, 21056?\n\"Answer: -u**2 + 3572*u - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-53)\/(-141) - (-3)\/(-9). Let l be ((-50)\/150)\/((-2)\/6). Is d at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v - 3*j + 7 = 0, -j + 3 = -v. Suppose 0 = n - 3*z - 0*z - 9, -2*z - 34 = 4*n. Sort v, -4, n.\nAnswer: n, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 45. Let q be f(9). Find the third derivative of 36*k**3 - 13*k**3 + 4*k**2 - 1 - q*k**4 - 23*k**3 wrt k.\nAnswer: -1296*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3989 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6908244.\nAnswer: 2, 3, 7, 82241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wmwwxmw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 609381450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 + 48*q**2 + 9*q + 36. Let v be t(16). What is the greatest common divisor of v and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 13*z**2\/2 - 3*z - 1. Let k(p) = -6*p + 1. Let i(b) = -3*g(b) - 5*k(b). Differentiate i(v) wrt v.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174920746 a multiple of 1694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1135 and 13?\nAnswer: 14755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -295482.751 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u + 3*s + 83, -3*u = -2*s - 117. What is the remainder when u is divided by 1*19 + (20 - 25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 4, 2, -7.5, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 17996?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((796\/5970)\/(2\/(-318)))\/((-2)\/(-5))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12718 - 30*j**2 + 63*j**2 - 35*j**2.\nAnswer: -2*j**2 + 12718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*i - 5*k, 2*i - k - 43 = -4*k. Suppose 4*z - z = 9. Suppose 0 = 2*j - z*t - 47, 2*j + t + 3*t - 26 = 0. Is i greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 - f + 5. Let j = 7 + -3. Suppose -d + 0*d + 2 = 0, -j = -2*a + 3*d. What is the lowest common multiple of a and l(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 33 = 3*i, -i + 0*u + 4*u = 19. Let x be ((-6)\/i)\/(66\/21 - 3). Suppose x*t = 3*t + 105. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*f + n, -8*f - 3 = -9*f - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*((sqrt(88)*-1)\/sqrt(8) + 3).\nAnswer: -7 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539 - 0.14?\nAnswer: 3538.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39759660 to the nearest integer?\nAnswer: 6306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19053 = -28*h - h. Let t be (10\/6)\/((-58)\/(-22866)). Let w = h + t. Are w and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-231)\/55)\/(1\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-820)\/20 + 39)\/((-32)\/6).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -806*a**2 + 397*a**2 + 404*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 7*k**2 - 10*k - 4. Let i be h(-6). Solve -i = o + 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(1\/7)\/l*l*l))\/l**2)\/(l**(-1))**13)\/((l*l**(-1))**(-33)\/(l\/l**(-6\/7)*l*l**(-2\/11))) assuming l is positive.\nAnswer: l**(965\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 45708*j + 16 = 45713*j, 4*n - 35*j = -101 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-276)\/782)\/((-137)\/(-137)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.2, -0.3, 0.4, -23, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 947158.2 decades in centuries?\nAnswer: 94715.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6264.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 6*d - 11. Suppose -14*l = -17*l + 9. Suppose -2*y + y + 11 = -3*n, 0 = -5*y - l*n + 1. Let z be (-31)\/(-8)*y + (-6)\/(-24). What is j(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 3*s**2\/2 + 6*s - 227. Give t(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11022 + 11?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (355 - 320) + 8 + 3 + 37?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*b + 10, -4*b - 5*h + 5 = -10*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7833 - 1985 = 2409*f - 2341*f for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*b + 78*b + 39. Suppose -b*o - 7*m + 8*m + 4522 = 0, 0 = -o - 2*m + 1505. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 10. Let a be q\/(-1) + (-27)\/(-9). Suppose 14 + 16 = a*p. Solve -5*x + 5*v + 0*v = 0, 3*v = -2*x - p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 10283913.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 38813.05 minutes?\nAnswer: 2328783000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 10*j**2 + 22*j - 37. Suppose 2*g + 72 = 5*g. Calculate the lowest common multiple of g and v(8).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*a**4 - 18*a**2 + 2991 with respect to a.\nAnswer: -72*a**3 - 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 560? (a) 0.1 (b) 2 (c) 4 (d) 79.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.5 - -1.5. Let t = -1087.5 + 1138. Let z = t + v. What is the fourth smallest value in 2, 1\/3, 1\/4, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328\/(-12)*(-3)\/2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -560500 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -15. Let s be x\/10 - 44\/(-10). Let z(l) be the first derivative of -l**4\/4 + 4*l**3\/3 + l**2 - 3*l + 9. Determine z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23898658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -22, 5.\nAnswer: -22, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 41 - 11*a + 20.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:31 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -87, -99, -103, -93, -63?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 + 455. Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -12202110201120202?\nAnswer: -12202110201121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4 + 17928*t**3 + 17937*t**2 - 35862*t = 0?\nAnswer: -2, 0, 1, 5977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83.9999951 + 84. What is i rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, t: 10, v: 2}. What is prob of picking 1 t, 1 s, and 2 v?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h + 27. Let g(k) = -7*k - 14. Let u(b) = -11*g(b) - 6*v(b). What is the first derivative of u(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25203 * 54.6.\nAnswer: 1376083.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/51)\/((-28)\/6) - 6840\/25704?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7758, 1, -4 in increasing order.\nAnswer: -4, 1, 7758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/12 + 3914\/12. Let z = -336 + p. Calculate the common denominator of z and (1\/(-22))\/(2\/(-150)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3766131 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 14. Give t(-9).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -16520*u + 997 - 995 + 16512*u. Suppose 7 = 3*m + 2*d, 1 = 3*m + d - 1. Calculate q(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - (56 + -20)) + 35\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1104 * 0.04.\nAnswer: -44.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1162 and 236292?\nAnswer: 19612236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, g: 1, j: 2, k: 2}. Give prob of sequence ege.\nAnswer: 11\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 46*v. Let r be d(2). List the prime factors of 7\/(28\/3)*r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3722681 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 1635. Let l(q) = q. What is l(t(j))?\nAnswer: 2*j - 1635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 2 - 4 - 1 + 7*a. Let k be q(5). Suppose -k*s + m = 5*m - 26, 5*s - 35 = -5*m. Solve s*d + 5 = 5*i, -3*i + 6*i - 3 = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2233044 and 181500?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7787069 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -97651 times -0.2\nAnswer: 19530.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44435206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2\/49 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 2. Let i be 3 + 0 + -11 + 3. Let o = -8 - i. Which is the closest to -0.5? (a) 1 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 3*t**2 - 13*t - 237248 + 0*t**2 - 237236 + 474474. Let b = -14 - -27. What is i(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 6\/11*b**2 + 32\/11*b - 8\/11 - 8\/11*b**4 = 0 for b.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 551135, 551034, 550919, 550784, 550623?\n\"Answer: -t**3 - t**2 - 91*t + 551228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2090172823, -2090172824, -2090172825, -2090172826?\n\"Answer: -b - 2090172822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 21*c + 169. Calculate w(27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 10. Suppose -16 = 4*c, 2*r + t*c = r + 7. Let l = r + -5. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3513 (base 6) to base 3.\nAnswer: -1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnvbagga. Give prob of picking 1 a, 1 v, and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + -5.7. Let m = -7 - p. Let j be 1 + (-490)\/275 + (-2)\/(-11). What is the third biggest value in m, 1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11139 (base 15) in base 16?\nAnswer: -d407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 9*k**2 + 2*k - 4. Let c be p(9). Let r = c + -15. Which is smaller: -2\/15 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from tmmmjttttkmttmjkmm.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(500) + (3*(sqrt(500)*3 + sqrt(500)))**2 + sqrt(500) - (-1*(-5*(sqrt(320) + sqrt(320) + -2 + sqrt(320) - sqrt(320)) - sqrt(320)))**2.\nAnswer: 1780*sqrt(5) + 33182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5568 times 0.977\nAnswer: 5439.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 7 - -2 - (-10 - -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 167*q**2 - 155 + 79.\nAnswer: 167*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001035 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 7*h + 6. Let l(k) be the first derivative of -k**4\/4 + 8*k**3\/3 + k**2\/2 - 2*k + 3. Let b be l(8). List the prime factors of o(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2\/7 + 675708*u\/7 - 8108064\/7 = 0.\nAnswer: 12, 225224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide ((-1886)\/115)\/(2\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -60.707.\nAnswer: 303.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 3*n - 3. Let z(y) = 3*y**2 + 2*y + 3. Calculate -2*h(i) - 3*z(i).\nAnswer: -3*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvocavrrvav. What is prob of sequence co?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Suppose -20 = -2*a - r. What is the highest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 428567 to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*i + 221*i = -25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-26) + 378\/78. What is the closest to 0.3 in m, -4, -201?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.8 - -33. Let c = h - 0.19. Let r = -5.39 - c. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*g, 4*g = 3*p - 0*p + 23. Suppose 0 = 5*f - g*a - 293, -3*f - 3*a - 69 = -4*f. What is the remainder when f is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10\/s**(-2\/15))\/((s**11\/s)\/s*s)**28 assuming s is positive.\nAnswer: s**(-4048\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + (sqrt(396) - (-1*sqrt(396)*2 + sqrt(396)) - sqrt(396)))**2 + -5.\nAnswer: 36*sqrt(11) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-6)))\/t**5)\/(t**(2\/9))**(-10\/11) assuming t is positive.\nAnswer: t**(119\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 - 134. Suppose 72 = -6*t + 2*t. Let c = t + g. Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(2 + 1489*i**2 - 1489*i**2 + 36*i**5).\nAnswer: -72*i**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 - 53*m\/5 - 546\/5.\nAnswer: -(m + 14)*(m + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 9) to base 12\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + ((sqrt(117) - sqrt(117)*-1)*6 - sqrt(117)))\/((1*sqrt(108))\/sqrt(12)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (154\/(-55))\/(198*16\/1440)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23203303012 (base 4) to base 3.\nAnswer: 12200221200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13158255 divided by -85?\nAnswer: -154803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fggfgfgg. What is prob of sequence fff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*x**3 - 2*x + 3*x - 3*x + x + 3 in the form v*x**3 + t*x**2 + c*x + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -4 - (220 + -157)) + (3 - -1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/72 + (-18)\/(-243)*3. What is the nearest to -3 in -0.1, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 2, s: 2, f: 2, e: 3, q: 2}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -481009 - -115855?\nAnswer: -365154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, 0, -10, 24, -3, 14 in decreasing order.\nAnswer: 265, 24, 14, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuu when three letters picked without replacement from uzzzzzzzzzzzzuuz?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/30)\/(1576\/1242). Let n = z - -1\/197. Find the common denominator of 2\/7 + (-1767)\/84 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2. Let s(y) = 24 - 54 - y + 30. Calculate s(p(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4263?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) + (sqrt(99) - ((sqrt(99) - 2*sqrt(99)) + sqrt(99) - sqrt(99)) - sqrt(99))))*-6)\/(1*sqrt(729)))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6606, 6588, 6570?\nAnswer: 6552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/3 and 87\/178058.\nAnswer: 534174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*j - 3047 = 8918, -3*j = o - 5987. Suppose 10*z - o = -z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-2 + -3) + (-2)\/(-1). Solve -3*i - 2*k + 4 = -z, 0 = -4*i - 3*k + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15731999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*c = -22, -3*c - 6 = 2*s - 17. Solve -s*d + 25 = 65 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 7) + (2 - 7) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = -4*v, -55*v + 13 = -57*v - c. Let h = 0 + 3. Let z be (-8)\/(-14)*(-15)\/4. What is the fourth biggest value in -1, v, h, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9*b + 8*b - 11 = 0, 3*b + 23 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 86535, 346101, 778699, 1384323, 2162967?\n\"Answer: -w**3 + 86522*w**2 + 7*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10277 and 23392?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n*n*n**15)\/n)\/n)\/(n*n**3)*(n**(-3))**(-2) assuming n is positive.\nAnswer: n**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*t - 3 + (-5*t + 2*t - 4*t)*(-1 - 4 + 2) + 2780 - 2780 + 7*t to j + a*t and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 3*w**2 - 2*w - 9. Let s be 55\/11*6\/(-10). Let g be h(s). Let t(k) be the first derivative of -k**3\/3 + 3*k**2\/2 - 3*k - 10. Give t(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114535 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7862031 and 7985?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9527859?\nAnswer: 3, 11, 157, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*d**2*m**2 - 87*d**2*m - 3*d**2 + 1796*d*m**2 + 8*m**2 + 1769*m + 1 wrt m.\nAnswer: 264*d**2 + 3592*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 11*f**2 + 70*f - 291. Let c be n(7). Solve -h + c*y - 15 = -25, 0 = 4*y + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 887 - 587*y**2 + 8*y**3 + 193*y**2 + 195*y**2 + 199*y**2 in the form l*y**2 + q*y**3 + k + v*y and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32327496 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3 - 3 - 3*q + 0. Let w = 40 - 25. Let z(j) = w*j - 4*j - 8*j. Determine l(z(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 663 + 273 = -2*k - 3*k, 6*b + 5*k - 97 = 294 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-1 - 0) + (4 - (74 - 65))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*a - 92*a - 87*a + 365*a - 97*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 + -35?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -19. Let n(r) = 2*r**2 - 1 + r + 7*r - 2*r. Let u be n(-6). Calculate the highest common divisor of u and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/8, -3\/1298, -0.7, 3, 2\/11.\nAnswer: -0.7, -3\/1298, 0, 2\/11, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28408998 to the power of 1\/2, to the nearest integer?\nAnswer: 5330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 8. Suppose -3*w - 10 = -4. Let y be 3*w\/(-12)*-20. Let h be m(y). Solve 0 = 3*a + h*a - 25, 4*t = 2*a - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88652485 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((2*-1*sqrt(132) + sqrt(132) - -2*sqrt(132)*-3)*-2)\/((sqrt(12) - sqrt(432)*-2) + sqrt(24)\/sqrt(2)*3))**2.\nAnswer: 539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + x = 5*v + 1, -v + x = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/20*7724\/(-28965).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 + -4. Let r = 2642.9 - 2643. What is the nearest to r in i, -4, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*l**4 + 32\/5*l + 17\/5*l**3 - 78\/5*l**2 + 128\/5 = 0. Calculate l.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 9, y: 1, w: 1}. What is prob of picking 1 v and 2 f?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229825.\nAnswer: 5, 49193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4396270?\nAnswer: 2, 5, 61, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 - 9320*c**4 + 27968*c**3 - 9326*c**2 - 27967*c + 18646 = 0. Calculate c.\nAnswer: -9323, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 30 = 0. Suppose x + i = 6*x. Let p(j) = -4*j**2 + j**x + j**2. Let y(f) = 3*f. Calculate p(y(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19*i**2 + 2*i - 1. Let w(n) = -95*n**2 + 11*n - 5. Suppose 0 = 5*r + 55*p - 60*p + 25, r - 13 = -5*p. Determine r*w(f) + 11*m(f).\nAnswer: -19*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/2, -0.5, -216106, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.17597598 rounded to one dp?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1584 and -53\/576.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*z = 2*t - 68, 0 = 2*t - 3*z - 42. Let c be 1*(-31)\/(7 - 8). Suppose 5*b = 189 + c. Calculate the remainder when b is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-430)*4\/5.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 22*h**3 + 12*h**2 + 16*h - 25. Let j(b) = 56*b**3 + 24*b**2 + 31*b - 49. Let t(o) = 5*i(o) - 2*j(o). What is t(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.13 (b) 5 (c) -2 (d) 2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, l: 1, f: 4}. Give prob of picking 3 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x - 6. Let t be f(-4). Suppose -2 = 4*m - t. Suppose -3*b + 2*b - 3*h = 9, 2*b - m*h = 37. Calculate the least common multiple of 4 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4632 divided by 193\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 80. Suppose 5*m - 1 = 3*y, 4*m - 2*y - 1 = 1. Let g = m - q. Which is the smallest value? (a) -0.4 (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -1 + 25. Let p be -2*12\/j + -1. Let u(v) = v**2 - v. Calculate u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15651.\nAnswer: 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -2 - 2 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 590?\nAnswer: 1\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/87 and -22\/87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6407, -12774, -19063, -25232, -31239, -37042?\n\"Answer: 7*c**3 - 3*c**2 - 6407*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2))\/((l**(-1\/2)*l)\/l))\/(l**(-2\/5)\/l**(2\/21)) assuming l is positive.\nAnswer: l**(839\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -36. Suppose 4*j = -2*c + 4, -5*j = -3*j + 4*c + u. Solve 2*g = 3*g + j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/24*(-2397)\/4. Let t = -50 + w. Suppose 4*h = -4*z + 12, -9 = z + 2*h - 5*h. Is z greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, p: 6}. Give prob of sequence ppr.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 = -268*d + 572 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9604 - 2158)*(2 - -3)*1\/(-2).\nAnswer: 5, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -19*m + 7. What is the hundreds digit of z(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51200*p**3 - 7790720*p**2 - 1264978*p - 51376.\nAnswer: -2*(p + 152)*(160*p + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 15*t - 2)*(t**2 - t**2 - t**2)*(1204 - 575 - 555).\nAnswer: 1110*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.07 - 1.07. Which is the nearest to -0.1? (a) 0.3 (b) 3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2 + 1) - -1. Let m(b) = b**3 - 4*b**2 + b - 1. Let x be 10*((-12)\/(-5) - 2). Let y be m(x). Solve -y*k + 0*k = j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240218?\nAnswer: 2, 11, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (62*u + 59*u - 105*u)*((2 - 6 + 3)*(2*u - 4*u + 13*u) + u + 0*u + u) in the form d*u + z*u**2 + m and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -60, -64, -62, -54, -40?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0)\/(4\/180). Suppose 0 = 3*p - 381 + f. Let w = -33 - -47. Calculate the highest common divisor of w and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249680 and 8988480.\nAnswer: 8988480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493131*q = -493291*q + 160 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6229*r + 629220. Give f(101).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15753 + -15681. Let d = -10 - -80. Let x be 3 + d - (-1 - -1). Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -1 - 1\/3*l**3 + l - 5*l**2. What is the tens digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*a**3 + 1 + 4*a**4 - 286*a**2 - 6*a**4 + 141*a**3 - 65*a**3 to y*a**2 + g*a**4 + f*a**3 + p*a + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from {f: 1, h: 1, u: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 - q**2 + 4*q**2)*(5*q + q - 3*q) + 21*q**3 + 3*q**3 + 18*q**3 in the form j*q + o*q**2 + u*q**3 + n and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.001 - 0.101. Let g = 4 - 2. Let s = g + 3. What is the nearest to m in -2\/9, -2\/5, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(70)*-3)\/sqrt(10))**2 + (-2*(sqrt(84) + sqrt(84)*1))\/(sqrt(36)\/sqrt(27)).\nAnswer: -12*sqrt(7) + 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 6:16 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = l - 2*l - w, 0 = -3*w. Let b = -87 - l. Let a = -46 - b. What is the highest common factor of a and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-567)\/18*(-96)\/36. What is the highest common factor of 108 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5639 - 15813 - 2747 - 4524 - 5790)*((-j + 2 - 2)*(4 + 3 - 5) - 2 + 2 - 2*j + 2*j - 3 + 3).\nAnswer: 69026*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 0*z)*(5*z**3 - 5*z**3 - 2*z**3) + 7*z**4 + 6 - 3 - 8311*z**2 + z**3 + 8308*z**2.\nAnswer: 5*z**4 + z**3 - 3*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iyiyyyyiyyyyyyiyyyyy?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 255 + 87 - 5*v + 84 + 6*v**2 + 87. Let l(q) = 2*q**2 - 3*q**2 + q + 0*q. Determine 6*l(b) + o(b).\nAnswer: 2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-2)\/c))\/c)**(36\/11)\/(c**(-1\/3))**(-38))**28 assuming c is positive.\nAnswer: c**(-2632\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18 + -15)\/((-3)\/(-2)). Suppose -4*o + y*m + 100 = 0, 38 = 2*o + 3*m + 2*m. Let c(d) = -2*d - 46*d**3 + o*d**3 + 3*d + 25*d**3. Give c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*w - 2 + 2 + 18*w)*(717 - 67*w - 717).\nAnswer: -2546*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) - sqrt(133)\/(sqrt(7) + sqrt(7)*1) - sqrt(19)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 22 = 46*g + 1282 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -380 < -363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-28))\/(1\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t - 2*t)*(-40 + 41 + 93) + t - t + t.\nAnswer: 95*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.9999852 + -16. Round i to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from pppppppepepe.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/5 (c) 0.9 (d) -1\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from krgqtqkt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q\/(q*q*q*q**(1\/8)*q*q*q))\/q)*q*q**(-3))\/(q**1\/q)**(-5\/21)*(q**(1\/2))**(1\/31)\/(q**(-2\/17)\/q**(-6)) assuming q is positive.\nAnswer: q**(1091\/4216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 8 - 0. Let f = 222 - 3772\/17. What is the biggest value in k, -2, f, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 + 12921*c**3 + 2045064*c**2 + 77171472*c - 438600960 = 0. What is c?\nAnswer: -4144, -84, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/38)\/((2\/60)\/((-258)\/(-1935))). Sort 6, v, 7, 0.21, 5 in decreasing order.\nAnswer: 7, 6, 5, 0.21, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 4. Suppose 0 - 12 = 2*w. What are the prime factors of o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by 2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/4*816\/918. What is s in -4\/9*s**2 + 2\/9*s**3 + 0*s + x*s**4 + 0 = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.074 - 0.054. Sort -2\/25, 5, a in descending order.\nAnswer: 5, a, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 10*o + 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.021*-1449.\nAnswer: 30.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*w - 143 = -34 + 45. Suppose 12 = -3*i - 6. Let k(l) = l**3 + 5*l**2 - 8*l - 4. Calculate the smallest common multiple of k(i) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*j = 18, -3043*j + 3039*j + 6 = 3*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1371, -1199, -917, -531, -47, 529?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, 8, 28, 48?\n\"Answer: 20*g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 1. Let v be 22\/(-110)*-1*5. What is the nearest to i in v, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847218 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 1287849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eene?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + aa?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193.65 * -4.9.\nAnswer: -948.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13993794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p + 0 - 3\/2*p**3 + 0*p**4 + p**2 + 11\/60*p**6 + 0*p**5. What is the first derivative of y(u) wrt u?\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -11617 - (-18 + 15). Let x(t) = -t - 11621 + n. Let s(f) = 13*f**2 - 5. Calculate x(s(q)).\nAnswer: -13*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 773300226 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 greater than or equal to -0.27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 4*v**2 + 6*v**2 + (-9 + 19 + 14*v - 8)*(3*v + 2*v - 3*v).\nAnswer: 36*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3707 - -3707.4. What is the nearest to 0.06 in x, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.9 - 11. Let l = i - 0.1. Let s = 38.5 + -38. What is the nearest to l in s, 3\/10, -2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -122. Let o(m) = -m**2 - 3*m + 6. Let f be o(a). Let u be (-124)\/(-3) + 4\/f. Calculate the highest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-24)\/(u**11*u))\/(u**(-1\/4)*u*u**(-1\/7)) assuming u is positive.\nAnswer: u**(-1025\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:23 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.4139 times -3977\nAnswer: 5623.0803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -521, -1113, -1705, -2297, -2889, -3481?\n\"Answer: -592*v + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/24*(33\/(-9) - -4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100821 or 100844?\nAnswer: 100821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8096 + 14861. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 3*f + 2. Let k = 45 + -30. Suppose u - k = -4*u. What are the prime factors of z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i + 8. What is n(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1, 24, 3\/2, 6, 586, -2 in decreasing order.\nAnswer: 586, 24, 6, 3\/2, 2\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 2753176\nAnswer: 33\/2753176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:53 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23692381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -696238, -696301, -696364, -696427, -696490, -696553?\n\"Answer: -63*b - 696175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3049*v - 399 = -2992*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 5427*b**2\/2 - 1136*b + 8082. Differentiate d(a) with respect to a.\nAnswer: 5427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/3181850 and -87\/14.\nAnswer: 3181850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0 + 108 = 0. Let a be 2023\/9 - (-6)\/x. Let b be 1 + 148\/6 + (-126)\/189. Calculate the highest common factor of b and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -18. Suppose 0 = 11*o + w*o - 75. Solve -j + 12 = -3*r, 0 = 5*r + j - o*j + 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.46 + -4.26. What is the third smallest value in 0.07, -0.5, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 1. Let o(c) = c**2 - 2. Let i(k) = 2*m(k) + o(k). Let q(d) be the second derivative of -1\/3*d**3 - 9*d + 0 + 0*d**2. Give i(q(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((2 + 5*(sqrt(272) - (sqrt(272) + 1)))*1)**2 + -5)*-6*-2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, 55, -17, -159, -395, -749, -1245, -1907?\n\"Answer: -4*o**3 + o**2 - o + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 27. Calculate the greatest common divisor of 8 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**3\/4 - 1613*o**2\/4 + 16919*o\/2 - 1860.\nAnswer: (o - 155)*(o - 24)*(9*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcvkcvmckvacm. What is prob of sequence mccm?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 338.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.13, -6, -6.8517, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56549 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x + 40. Suppose 0 = -x*p + 104 + 200. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 1, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.5 (c) 45\/22 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - (-121)\/344. Let a = l + 1\/43. Sort 1, a, -5 in descending order.\nAnswer: 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -19. Suppose -4*a = -5*i - 88, 0 = -k*a + 4*i - 27 + 94. What is the greatest common factor of 85 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w**2 - 2. Let r(a) = 35*a**2 - a + 5. Determine -2*r(l) - 5*y(l).\nAnswer: 15*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2311276 (base 9) to base 11\nAnswer: 782337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/13))**23 assuming g is positive.\nAnswer: g**(92\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-5)\/(-40))*((-640)\/32)\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10582400 and 7400.\nAnswer: 391548800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/3? (a) 1 (b) -1 (c) -3 (d) -5\/236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -80?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -93*i + 49*i + 49*i. Let l(q) = q. Let m(c) = -h(c) + 2*l(c). Let u(z) = z**2. Calculate m(u(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1749, -3858, -7383, -12324?\n\"Answer: -708*x**2 + 15*x - 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbvgnvpab. Give prob of sequence pbnb.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630429844 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 9 = -3*u - 1, 3*r - 1 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxxxxtxxxt?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2 - 17. Determine g(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25\/4 - -13\/2. Let g = -28011 + 28008. Which is the closest to l? (a) g (b) 1\/4 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 4*z**2 + 144*z + 6*z**2 - 8*z**2 in the form u + r*z + x*z**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259897 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -119*g*o**2 - 27*g*o - 3*o**2 - 2*o - 146 wrt g?\nAnswer: -119*o**2 - 27*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6 - 3. Let a = -0.03 - -0.33. Let v = a + p. Sort v, 1, -1.\nAnswer: -1, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/78 + ((-6012)\/(-39))\/(-1). Let k = t - -167. Let d = 16 + -11. Solve 7 = -d*h - k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1579*k - 314*k - 317*k - 313*k - 337*k - 310*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872992389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(1785\/6))\/((136\/40)\/17)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/r**4)))**7*(r**0*r*r)**20 assuming r is positive.\nAnswer: r**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r - 7. Let u be j(-5). Let f be (-408)\/(-7) + (-8)\/u. What is the common denominator of -103\/12 and (5 + -6)\/((-4)\/f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (647\/126)\/((-1)\/(-2)). Let s = c + -75\/7. What is the closest to -2\/7 in -1, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -58.7. Which is the closest to 0.07? (a) -0.1 (b) 7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -10*f**4\/17 + 116*f**3\/17 - 122*f**2\/17 - 368*f\/17 - 120\/17 = 0.\nAnswer: -1, -2\/5, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(20)\/sqrt(2)) - sqrt(25)\/sqrt(5)*-6)**2*-4.\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*5*(-4)\/(-122)*183610\/30100.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 + 3 - 5 + 0*r**2 + 539*r - 2 - 544*r. Let s(z) = 2*z**2 - 2*z - 2. Give -5*s(x) + 2*v(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39348 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82879 is divided by 370.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 2}. What is prob of picking 4 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27501413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058536660?\nAnswer: 2, 5, 61, 867653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2280154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 181183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 6*f**2 + 50*f - 301. Let z be o(7). Solve 34*p - 14 + 82 = z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 276134*t**3 + 45921.\nAnswer: 828402*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -895 plus 32.6?\nAnswer: -862.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 1110.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*b - v - 2*v - 258, -11*b + 9*b + 63 = -601*v + 600*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.63163 + 0.26497. What is r rounded to one dp?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 + -767. Find the common denominator of o\/(-4)*(-1)\/(-25) and -4 + 1 - (-10)\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u + p = 68*u + 9, 3*p - 35 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-4) - 0)*10. Let c = 101 - -39. Calculate the greatest common factor of c and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25679331 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -52153354 (base 6) in base 8?\nAnswer: -5601306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.39 + 0.74. Let u = q - -2.87. What is the third smallest value in -2\/3, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058017920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202220 (base 3) in base 15?\nAnswer: c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 323100330130 (base 4) to base 10\nAnswer: 15535900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**5\/30 - a**2 + 4. Let d(s) be the second derivative of f(s). Let x(l) = l**2. Determine d(x(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 11*g + 3*g + 8*g + 4*g**4 + 2 in the form t + y*g**4 + w*g + i*g**2 + l*g**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -679*m**2 + 775*m**2 - 1730*m**2 + 2 - 2 as f*m + v*m**2 + s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 20, -j + 14*p = 9*p - 187. Calculate the smallest common multiple of 21 and j.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 9*y - 236*y**3 + 238*y**3.\nAnswer: 2*y**3 + 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((1 + sqrt(833) + 1)*-5 + 0)*1*2)**2.\nAnswer: 2380*sqrt(17) + 83589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 6. Let x be j(-5). Let v = 22871 - 22871.2. Which is the second biggest value? (a) x (b) -1\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8440.845 years in millennia?\nAnswer: 8.440845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*h + 4*o, 2*h - 3*o + 13 = 58. Let v = h - 5. Suppose -v = -11*f + 7*f. Calculate the lowest common multiple of 7 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**3 - 3*x**2 + 4. Let k(a) = -11*a**3 - 6*a**2 + 9. Determine 3*k(b) - 7*z(b).\nAnswer: 2*b**3 + 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/17000 and 218\/(-20) - (-63)\/(-105)?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 11*j)*(-2*j + 3 + 1 - 6).\nAnswer: -14*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -262.\nAnswer: 5\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 39 = 14 - 77 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -19. Let i = x + -47.7. Sort -0.2, i, 1 in ascending order.\nAnswer: -0.2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u + 75. Let l(g) = g**3 + 25*g**2 - 13. Let f be l(-25). Let h be n(f). What is the nearest to -3\/7 in 0.4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 20*i**2 + 25*i + 10. Let h be (35\/10)\/(4\/24). List the prime factors of b(h).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*z**3 + 32*z**2 - 48*z**3 - 32*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 6*g + 7. Suppose -y + 3*r + 3 = -3*y, -3*r - 12 = -y. Let u be 0 + (y - (4 - 1)). Let i = u + 6. What is m(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/31? (a) -2\/13 (b) 1\/6 (c) -3\/2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 6. Which is smaller: -7 or o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-362417)\/2103)\/(66\/36).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 375330 or -5?\nAnswer: 375330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8190\/(-21))\/26*(-6)\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 596\/25*(-9)\/(-2 + 20) - (-26)\/(-325).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10886000 to the nearest one hundred thousand.\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.162484 plus -3345?\nAnswer: -3342.837516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*s**3 - 262*s**3 + 200*s**3.\nAnswer: -193*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 1. Let c(h) = -h**2 + 4*h + 4. Let t(k) = -2*k**2 + 9*k + 9. Let y(f) = 9*c(f) - 4*t(f). Determine y(s(w)).\nAnswer: -25*w**4 - 10*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**9\/60480 - n**8\/13440 + 11*n**4\/24 - 30*n**2. Let r(d) be the second derivative of y(d). Factor r(q).\nAnswer: -q**3*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-21)*(-24)\/(-112). What is the second smallest value in 3\/4, -0.3, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 6*y + 28. Let u(i) = i**3 + 9*i**2 + 10*i + 3. Let a(c) = c**2 - 7*c - 8. Let g be a(7). Let h be u(g). Is v(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18.2 (b) 2\/177 (c) 2\/3 (d) 0.04 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:11 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 24*r - 1. Let b(z) = -z - 2. Let y be b(-3). List the prime factors of s(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7644 = 5*t - 7541. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -43. Suppose -m = 13*p - 14*p. Suppose 4*h - 85 - 23 = -2*t, -3*t - p = -h. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -0.5 (b) -50 (c) -0.2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7*p + 4*c = -1052, -4*c - 269 = -p. Let a = -239 + p. What is the smallest common multiple of a and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 27*y**2 - 20*y + 111. Let g be j(13). Solve 0 = 4*v - 2*n - 10, 5*v + 20*n - 16*n = -g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjjjrrqr. Give prob of picking 1 r, 1 j, and 2 q.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -841\/5*j + 7 - 1\/15*j**3 - 29\/5*j**2. Factor d(x).\nAnswer: -(x + 29)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 318*c**2*n**6 + 167*c**2 - 2*c*n**2 + c*n wrt n?\nAnswer: 38160*c**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 0 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 788895?\nAnswer: 8677845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.7898 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*w + 321, -4*w + 25 = w. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/248862 and 51\/22496.\nAnswer: 3981792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230 and 104449210?\nAnswer: 104449210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8370 + 8373. What is the third smallest value in -1\/2, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5245.\nAnswer: 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -1, 5, -151, -3, -4, 0.\nAnswer: -151, -116, -4, -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8084505?\nAnswer: 3, 5, 11, 13, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25076 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 6 - (-45)\/(-19). Let c = 1329\/152 + v. Let b = 35\/12 - 169\/12. Calculate the common denominator of b and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7123197 (base 11) in base 12?\nAnswer: 4275074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -56.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -3483.7683?\nAnswer: 3483.2683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -641754 and -3.9.\nAnswer: -641757.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2\/7 + (-15)\/(-21). Let q be (-6 + 2)\/((-2)\/3). Suppose q*h = r + 65. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/20 and 57\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -1\/4*d**5 + 0*d**3 + 0*d + 200*d**2 + 1\/12*d**4 + 0 + 13\/120*d**6. Factor c(b).\nAnswer: b*(b - 1)*(13*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74*1*1*(-14)\/(-28)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2299)*-2*-1)**2 - (4 + (sqrt(2299) + sqrt(2299) + sqrt(2299) + -4)**2 + sqrt(2299))*6) + -4 + -5.\nAnswer: -115081 + 1518*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -9)*(-25634)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -102. Calculate the remainder when 16 is divided by 4\/20 - a\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 - 3*a + 175*a**4 + 197*a**4 - 573*a**4 + 204*a**4 in the form t*a**4 + i*a**3 + z*a + f*a**2 + g and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/87185247?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 - -111110121112120?\nAnswer: 111110121200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -1\/13, -4\/9, -84, 3\/13?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (13 - (19 - 14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/12 - 7*l**3\/6 - 3*l**2 - 5*l. Let v be -7 - (-105)\/15 - (-1 + 7). Give o(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5712234 a multiple of 1166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -1000002?\nAnswer: -221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 906 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1210))\/sqrt(2) + (sqrt(320)\/(sqrt(16)\/sqrt(2)))\/sqrt(8).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 39. Factor 18*i**2 - 15*i - 15*i**2 + 0 + k + 3*i.\nAnswer: 3*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -r + 4, r - 5*r + 9 = -3*o. Calculate the smallest common multiple of 2\/r*(-7 - (1 - 11)) and 92\/6 + 6\/9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3) + 3)*-5 - (-5 + sqrt(75) + sqrt(27)*1))**2.\nAnswer: 360*sqrt(3) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 4*r + 12, -5*r = 5*q - 15. Suppose q = 3*b + 2*b - 15, 4*b - 440 = -4*i. What are the prime factors of i?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, 1 y, and 1 r when four letters picked without replacement from nyrlnyyqrr?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 - (-25 + -51 - -26 - -14).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + 57*j - 177. Calculate g(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22133, 44273, 66413, 88553, 110693?\nAnswer: 132833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*d - 3. Let l(i) = -2*i + 1. Let j be l(d). Solve 0 = j*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 13437\/4 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-24)*g**(1\/4))\/((g**(-4\/33)\/g)\/(g**26*g)) assuming g is positive.\nAnswer: g**(7045\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**(-4\/3)*g*g)\/((g**(-6)*g)\/g*g*g**(-8))*(g**(1\/12)\/g*g**(-3))**35 assuming g is positive.\nAnswer: g**(-1517\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 246249 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k + 8*k - k**2 - 5 - 3*k. Let i be z(9). Suppose 94 = 4*l + g, i*g = -2*l + 6*g + 52. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907026523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2789766, 2789773, 2789778, 2789781?\nAnswer: 2789782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 3:35 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1151 and -208007.\nAnswer: -208006.8849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 348 + -6973\/20. What is the common denominator of 8\/45 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 15 = -13*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27009 + 6692 - 1631 = 708*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2467\nAnswer: -3\/2467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t + 39*t - 61*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7770905 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-7)*c\/c**(2\/13))\/((c\/(c\/(c**(2\/5)*c*c)))\/(c\/(c*c\/(c**3\/c)))) assuming c is positive.\nAnswer: c**(484\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*f**3 + 19*f**3 - 18*f**3)*(-3 + 10 + 6).\nAnswer: 988*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = 4*v, 2*r - 4*v - 280 = 0. Calculate the remainder when r is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(4\/8). Suppose 4*p - 7 - 17 = -2*y, -q*p + 12 = 0. Calculate the smallest common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -52, 1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126129360 a multiple of 5790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.49079 rounded to 0 decimal places?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*w - 14*w - 4*w as o + g*w and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 1 - 1)*(h**3 + 3*h**3 - 2*h**3).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.2, -0.02, -0.03, 0, 122?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18725 (base 11) to base 16\nAnswer: -6633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8056)\/(-532)*(-602)\/(-4).\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2782, -5562, -8342, -11122?\nAnswer: -13902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66.9999264 - 67. What is t rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/75273767 and -2\/239.\nAnswer: 75273767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/785, -4, -0.1?\nAnswer: -2\/785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -414*r - 1 + 2 + 215*r + 5*r - 2*r - r + r - 2 + 2 + (-2 - 2 + 5)*(2*r + 0*r + 0*r) + 2 + 2 + 23*r - 31*r.\nAnswer: -202*r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1956017?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0*r**3 + 0 + 0*r**5 + 12*r + 1\/2*r**6 + 1\/12*r**4 + 0*r**2. What is the third derivative of t(a) wrt a?\nAnswer: 360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**3\/3 + t + 23. Let o(l) be the third derivative of 89*l**5\/20 + 57*l**2. Determine o(c(q)).\nAnswer: 1068*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence leeg when four letters picked without replacement from uulugueueule?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 10 - 3)*(1 - 3 + 4)*(3*f - 9*f + 9*f - 1).\nAnswer: -180*f + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 - -370. Let s = -531.9 + y. What is s rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**3\/2 - 85*m - 2. Let i(x) = 2*x. Calculate 3*i(s) - v(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 4*f**2 + 25*f - 15. What is h(4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 4, v: 1, q: 1, x: 6, d: 3}. What is prob of sequence gqc?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 9*h - 9. Let g be s(-8). Let p = 8.7 + -2.2. Let d = p - 7. Which is the third biggest value? (a) 0 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/2*20\/(-30). Suppose 0*s + 4*s = f - 20, s + 43 = r*f. What is the second derivative of f*g - 5*g**5 - 3*g + g**5 wrt g?\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - (-30)\/(-8). Let j = 123 + -124. Sort j, 2, i in decreasing order.\nAnswer: 2, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*w + 17500 = 50*w + 116*w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4.3, 4, 19, -4.\nAnswer: -4, 2, 4, 4.3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 2*s + 0*s - 3*s - 2*s + 9*s - 4*s - 3*s - 6739 + 6724 + 0 + 0 + s + (4 + 0 - 1)*(-2*s + 5*s - 2*s).\nAnswer: 4*s - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/3 - 40*p**4\/3 - 48*p**3 + 124*p**2\/3 + 334*p\/3 - 92 = 0. What is p?\nAnswer: -3, -2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + v**3 + v**3 - 8.\nAnswer: -3*v**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 2122?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a - a**2 + 20*a**3 - 2 - 10*a**3 - 17*a**3 to s*a + l*a**2 + m*a**3 + v and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*n**3 - 9*n - 303?\nAnswer: -105*n**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k - 19 + 39 + 22*k + 28*k + 22*k.\nAnswer: 103*k + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157 in 1\/6, 271, -0.2, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161\/2 + 79. Let w be (38\/6 - 1\/3)\/(-2). Let s be (-20)\/(-45)*w\/14. Is v greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -35, -64, -93, -122, -151?\n\"Answer: -29*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + -1 + -4 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -14. Suppose -c*p - 5*z = -4, p + 6 = 4*p + 3*z. Suppose p*l + k - 3*k = -7, -2*k + 8 = -4*l. What is the nearest to l in -5, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 + 6787*r**2\/4 + 489790*r + 34628300.\nAnswer: -(r - 7067)*(r + 140)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*u = -13, 5*i - 6*i - 3*u + 8 = 0. Solve i*g - 7 = 3*z, -4*g + 2*g - 22 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -79. Let i be -16*(2 + (-21)\/6). Is i at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 17*n + 286. Calculate the least common multiple of x(-16) and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*g + 4*l - 9, -1386 = 5*g - 2*l - 1399 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-4) - 7\/(-28). Let f = 2 - m. Suppose 0 = -3*v - 4*w + 69, -3*v = -7*v + f*w + 120. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364684.\nAnswer: 2, 341171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 8 - 2*q**3 - 16 + 8*q**4 to the form r*q**4 + c*q**2 + f*q**3 + b + w*q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 23 = 14, -5*j - 21 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7088730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - 49. What is the units digit of y\/(-10) + 3\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8\/3)*(z\/((z*z**(-7))\/z*z))\/z)\/(z**(2\/3)\/z**(6\/11)) assuming z is positive.\nAnswer: z**(106\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149611*n**2*q**3 - 2*n**2*q**2 - 36*n**2*q - 423*n - 2*q**2 - 2*q wrt q?\nAnswer: 897666*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 - 12 = 0. Solve -s - j*l = -25*l + 3, s = -l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, j: 3, f: 2, m: 2, v: 1}. What is prob of sequence eve?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2489329383 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 190\/15 + -6 + 0 - 6. What is the third smallest value in 58, -3, 6, k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89.78 + -79.78. Which is the third smallest value? (a) 0.7 (b) z (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13 = -3. Suppose 0 = j*u + u - 70. Calculate the least common multiple of 10 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-3) + (-2 - 0). Let c = -0.49 + 0.69. What is the third biggest value in n, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-8)\/(-4100)*305 - -6?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 26*m - 68. Let g be y(-23). Solve q = -g - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 572 or -235?\nAnswer: 572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24368505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*r + 185 = 4*r - 160 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -32 + -6 + (-18 - -19 - -5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096912762?\nAnswer: 2, 11, 29, 1719299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 286915100?\nAnswer: -286915100.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 5*y**2 - 3*y - 10. Determine a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 5. Suppose -f - 2397 = -5*r, 55*f + 1437 = 3*r + 54*f. Suppose 0 = -o*w + w + r. Calculate the remainder when w is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 129 = 5*u, -3*u + 0*j + j = -77. Let m = u + -5. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487b67 (base 13) in base 14?\nAnswer: 330b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -554\/7 - -79. Let y = -1460.7 - -1461. What is the second biggest value in 0.2, w, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1667*d**3*m**3 + 64*d**3 + 20*d**2 + 2*d - 13*m**4 + 2 wrt m?\nAnswer: 5001*d**3*m**2 - 52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2232496 or -35719935\/16?\nAnswer: -2232496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42224, -42202, -42180, -42158, -42136?\n\"Answer: 22*s - 42246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.3424 rounded to one dp?\nAnswer: 122.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 5, u: 7, b: 1}. Give prob of sequence uu.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/71, -8, 0.3, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.256 and 4.2465863.\nAnswer: 4.5025863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 513688.7 kilometers?\nAnswer: 513688700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4002 - 845. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 9 + (3 - (2 + 4)) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/10)\/(y\/((y\/y**(3\/7))\/y)))\/((y\/(y**(-32)*y)*y)\/((y**(-2\/11)*y)\/y)))**(2\/65) assuming y is positive.\nAnswer: y**(-26881\/25025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 19*c**2 - 25*c + 19. What is the thousands digit of y(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*k = -64, -17*b + 255*k = 258*k - 236 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 391*j**2 - 91*j - 254. What is the hundreds digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 39 = -9. Let s(d) = -10 - 4*d - 2*d**2 + 0*d + 6*d + 3*d**2. Calculate the smallest common multiple of s(q) and 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17196980*f**3 + 845320722*f**2 wrt f.\nAnswer: 103181880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14718 + 35984. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**6\/15 - y**5\/12 + 31*y**4\/24 + 5*y**3\/2 - 42*y**2. Is n(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 55734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1510 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/5)\/(-2 + 11\/5). Let o = q - -12. Let z be 4 + o + 512\/(-258). Is z at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41045.5 - 41045. What is the second smallest value in -1\/4, 1.4, 0.24, -0.4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -508651*f + 27467149. What is o(54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + -9 - (-1 + -24)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 15834 = -0*d. Let u = -713 + d. List the prime factors of u.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 804017014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*h + 10*h + 1234 = -1292 - 1074 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -35, -53, -73, -95, -119?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -210422 - 0.3\nAnswer: -210422.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 3. Let w(i) = -i + 1. Give -2*w(h) - z(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 10.6.\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 519.1314 weeks in hours?\nAnswer: 87214.0752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/7*f**5 + 0*f + 15\/7*f**3 + 6*f**2 + 0 - 24\/7*f**4 = 0 for f.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 107172, 214430, 321686, 428940?\n\"Answer: -x**2 + 107261*x - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -1402?\nAnswer: 25\/1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 580 = 1048. Sort -2, 0, k in ascending order.\nAnswer: k, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x**2 + 117*x**2 - 59*x**2 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 10*x + 2. Let p be y(-10). Let o(j) = j + 2. Let l(u) = 3*u + 5. Let f(h) = p*l(h) - 5*o(h). Let w(i) = -26*i. Determine w(f(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1619 + 1618. Which is the nearest to -9? (a) 0.5 (b) 0.35 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**4 + 9*d**4 + 4*d**5 + (3 - 3 - 2*d)*(3*d**4 - 3*d**4 - 2*d**4) - 23*d**5 - 260 + 260.\nAnswer: -15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124134473?\nAnswer: 23, 47, 114833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-1) + 35 + (-40 - -16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 49, 4, -90 in increasing order.\nAnswer: -90, -1, 2, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1)*(-4)\/((-12)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3052555568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62106022*s**4 + 49026684*s**2 wrt s.\nAnswer: -1490544528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = -7*n + 11248. Is n a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167680 to the power of 1\/2, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**8\/48 + a**4\/12 - 4*a**2 - 1. Let m(u) be the second derivative of h(u). What is the second derivative of m(d) wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22518 and 1162874?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29967575.\nAnswer: 5, 11, 59, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -491737901\/371235 + 4\/74247. Let c be (-278911)\/(-210) + (-4)\/(-6). Let z = c + s. Find the common denominator of -5\/2 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9d8 - -18?\nAnswer: -9c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 4}. Give prob of picking 1 o and 2 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4226 - -2.5226. Which is the nearest to i? (a) -5 (b) -0.128 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3045 + -3042. Solve 2*c + 19 = 5*a, -4*a + a - z*c + 24 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.45875km in micrometers?\nAnswer: 20458750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 7. Let h(d) be the second derivative of -5*d + 0 + 1\/6*d**3 - d**2. Let c = -636 + 638. Determine c*v(t) - 7*h(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - -8) + 7 + (20 - 5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113728?\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 9538*a**2 + 57290*a + 47750.\nAnswer: -2*(a - 4775)*(a + 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/4))**(-49)*(w*w\/w**2)**16 assuming w is positive.\nAnswer: w**(-343\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*f - 2*j = -58*f + 12, -3*j = -19*f - 10*f - 52 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.067103 + -0.0641. What is p rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(2\/5)))*y)**(-4\/3)\/(((y\/(y**(2\/7)\/y))\/y*y)\/(y**(2\/11)*y)))\/((y*(y**(-2\/5)*y)\/y)**8)**(-1\/18) assuming y is positive.\nAnswer: y**(-2771\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.013 - -0.187. What is the nearest to 0 in k, 1, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - z - 7, 3*z + 16 - 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 9 + 27. Let x(i) = -i + 2. Let q be x(-3). Suppose -q*g - 113 + 773 = 0. Calculate the highest common factor of g and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*z**2 + 6 + 714*z**2 - 6.\nAnswer: 1344*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154412 is divided by 3431?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 o, and 1 q when three letters picked without replacement from uoqmqcgo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 5*r + 18, 5*o - 5*r + 10 = -20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -2)\/(-4) - -2. Suppose -s = -6*s + 5*o + 1480, o - 876 = -k*s. What is the remainder when s is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.507750231 to five dps.\nAnswer: 0.50775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - 0.57. Let j = -0.5 + l. Let x = -23 + 27. What is the second biggest value in -0.2, j, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let t(o) = -1. Let u(v) = -2*v + 6. Let j(k) = y*u(k) + 5*t(k). Determine j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 + 15*n**2\/2 - n - 2. Let z be a(15). Put 4, z, 8 in increasing order.\nAnswer: z, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1582)\/9 - 2\/(-18)*-2. What is the units digit of (-3)\/8 + (-11154)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 0*v + 8*v + 2 + (-2*v + 2*v - 2*v)*(3 + 0 - 5))*(0 + 2 + 1) to the form h*v + k and give h.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c655 (base 16) to base 6.\nAnswer: 2254245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 1, r: 2, u: 1}. Give prob of sequence ir.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3326446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9070 by 907.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1392441961 to the nearest ten thousand.\nAnswer: 1392440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*d + 77 - 26 - 36 = 0, 0*a - 5*a - 25 = 8*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12112010212010 (base 3) to base 2.\nAnswer: -1011001100101100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17773035*r**5 - 1187*r + 1648.\nAnswer: 355460700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/5 + 376*d**3\/5 - 1536*d**2\/5.\nAnswer: 2*d**2*(d - 4)*(d + 192)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7*q**2 + 1 - 3.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -7, 5.\nAnswer: -7, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u)**(14\/3)\/((u**(-1)*u)\/u)**(-14) assuming u is positive.\nAnswer: u**(-112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*x - 657 - 663 - 626 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.4, -12, -351, -23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-130618)\/(-6)*2\/24. Let h = g - 1814. Let x = -1\/9 - h. Which is the nearest to -2\/7? (a) 1 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2114542915 - -0.21144. What is d rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41320.1 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31746, -31318, -30890, -30462, -30034?\nAnswer: -29606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 651289 at least as big as 651284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5430756.\nAnswer: 2, 3, 47, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -84 (c) 3 (d) 6\/97 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 2, z: 8, i: 2, a: 2}. Give prob of picking 1 a, 1 i, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + o + 3*o - 2*o - o + 5*o + (2 + 12 - 7)*(-9*o + 18*o - 3*o).\nAnswer: 46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -h. Let j(u) = -6*u + 15. Let c be j(5). Let l(w) = -2*w - 30. Let v be l(c). Put v, -3\/2, h, -4 in ascending order.\nAnswer: -4, -3\/2, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than 3.52?\nAnswer: 4.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + -3)*461\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1020\/2844 - (-176)\/(-6952))\/((-10)\/(-354))?\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -67*s + 144. Let v be r(3). Which is bigger: -71 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 4022320?\nAnswer: -4022320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x. Let u(t) = 50 - 6*t - 4*t - 6*t - 50. What is -5*o(v) + 6*u(v)?\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 26, 0.03?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/6 - (-2)\/(-3). Differentiate -22416*j - 64 + 25*j**s + 22416*j with respect to j.\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = 3*t, -2*p + 28 = -5*t - 4*p. What is the tens digit of -21*(16\/t)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17302?\nAnswer: 2, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/1)\/(4 - 3). Suppose 0 = -f*l + 2*l - 4. Let x = 13 - l. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85576?\nAnswer: 2, 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12 + 36 + 10*w - 23 + 2*w. What is d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c**3 - 19*c**2 - 5*c + 13. List the prime factors of t(5).\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and -776850.586.\nAnswer: -776850.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**30*o)\/o)**10)**(-26) assuming o is positive.\nAnswer: o**(-7800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-14)*d)\/d)**36\/(d\/d**(2\/9))**(-2\/7) assuming d is positive.\nAnswer: d**(-4534\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 381590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l**2 - 52*l - 80. Let g(f) = f. Let m(q) = 5*g(q) - j(q). Let z(d) be the first derivative of m(d). What is the derivative of z(c) wrt c?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18106*c - 7296 = -18258*c for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 838084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -86. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 351, 569, 839, 1173, 1583, 2081, 2679?\nAnswer: 3389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/2 + w**3\/6 + 10*w. What is the second derivative of u(s) wrt s?\nAnswer: 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, 2, 254, 598, 1064?\nAnswer: 1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -270, -4\/23, 0.5, -32, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1797701468?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 842\/27?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 234*x**2 + 463*x + 51. Determine k(232).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from hhhmhhhbhmhmhhhhmmhh?\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -1\/2, -2\/7, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(-537 + 75*s - 169 + 718 - 6*s**2) to c + f*s + h*s**2 and give f.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -131500*v**2. Let c(p) = -1485*p**2. Determine y(c(m)).\nAnswer: -289987087500*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8661.00004971 + 8661. What is j rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -984, -2762, -6196, -11838, -20240?\nAnswer: -31954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -4, 4, 0.8, 243, 1\/4?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(1\/11))**23)**47)**(6\/11))**(1\/22) assuming g is positive.\nAnswer: g**(3243\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*v + 16. Suppose 2*s + 2*s = v*u, u + 4*s = 0. Suppose u = -d + 139 - 24. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30305 is divided by 5045.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.47029 times -4\nAnswer: 1.88116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 4*c + 36. Let g(f) = -f**3 + 10*f**2 + 2*f + 16. Let u be g(c). Let n = u - 80. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 17. Let y(p) = 0*p + 81 - 69 - p. Let r(s) = 1. Let f(g) = 6*r(g) - y(g). Let t = -28 - -17. Determine t*f(i) - 4*h(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55323 (base 13) to base 15.\nAnswer: -30ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 145*j + 4366. What is r(43)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -608134755*o**2. Let g(j) = 3*j. Give g(h(t)).\nAnswer: -1824404265*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 - 3*r**4 + 5*r**4)*(3 - 2 + 1) + 17*r**4 - 74884*r**3 + 74884*r**3.\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + y**2 + 11*y**4 - 5 - 2*y**3 - 5*y**4 + 4 - 7*y**4 to the form v*y + z*y**3 + o + a*y**2 + q*y**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -47 + 10 + 4 - -6 - -16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 7. Let b(p) = p + 3. Let a(y) = -9*b(y) + 4*o(y). Let r be -6 + (-3 - (-6)\/1). What is a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((sqrt(2736) + -2*sqrt(2736))*-1 - (5 + (sqrt(2736) - 2*sqrt(2736))) - ((sqrt(76) - -1*sqrt(76))*6)\/(-2*sqrt(4)*5))**2).\nAnswer: -504*sqrt(19) + 604538\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290094943 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5 = 2*k + 5, 2*h + k + 5 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-1)\/((-5)\/(-2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*13*126\/702.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 minus 21.705?\nAnswer: -336.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + -5 - -1987)*18\/12?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276401 equal to 276401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 66 = z. Let m(q) = 20*q**2 + 3 + q**3 - z*q**2 + 20*q**2 + 6*q. Calculate m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzzk when four letters picked without replacement from zbzzzzbkzzkzzzz?\nAnswer: 11\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - f - 3*f - 5*f + 16*f + 21.\nAnswer: f + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 71*l**6\/30 - 26*l**3\/3 - 3*l**2\/2 - l + 1. Find the second derivative of j(i) wrt i.\nAnswer: 852*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1.5 (b) -4\/9 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let g(x) = 11*x**2 + 4*x - 4. Let p(v) = -23*v**2 - 9*v + 9. Let z(s) = 9*g(s) + 4*p(s). What is o(z(h))?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27435985 divided by -5487197.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 0 - y**3 + 4 - 5 + 0*y**3. Let p be x(-1). Solve p*c = -2 - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70733 - 0?\nAnswer: 70733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 8, -4, -5 in ascending order.\nAnswer: -5, -4, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 23*h - 4*h. Let w(l) = l**2. Give s(w(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s - 63*s + 29*s = -232 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c**2 + 1. Let u(n) = n + 5*n**3 - 3*n**3 - 2*n**3 + 10*n**2 - 2*n**3 + 9. Let y(i) = 3*t(i) + u(i). Let b be y(-13). Is -1 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b. Let v(t) be the third derivative of -t**7\/840 - 179*t**4\/24 + 148*t**2. Let y(d) be the second derivative of v(d). Determine h(y(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827039528?\nAnswer: 2, 7, 17, 868739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3246*a**2 + a - a + 3245*a**2 - 6485*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 2, t: 1, o: 1, m: 1, g: 1}. Give prob of picking 1 m and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 4*o**2 + 4*o + 7. Let m be x(5). Let r be (-3)\/m*90\/(-27). Sort 2, r, 4.\nAnswer: 2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)\/(w**18*w) assuming w is positive.\nAnswer: w**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -12068?\nAnswer: -11\/3017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -430 - -429.253. Let h = -0.747 - l. What is the third smallest value in -8, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066895 rounded to the nearest 1000?\nAnswer: -1067000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*h = 2*b, 3*b + h = 8. Suppose -4*l + 8 = -12. Let u(i) = -i + 3 - 2 + 3 - l. Let t(p) = -4. Give b*u(n) - t(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - 0?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41088, 40988, 40820, 40584, 40280, 39908?\n\"Answer: -34*c**2 + 2*c + 41120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3370 + 3267. Which is the nearest to 2? (a) j (b) -5 (c) -2.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(119) + -2*sqrt(119)) + sqrt(119) + sqrt(119)*1*-6)\/(-3*sqrt(7)*-1 + sqrt(28)*3).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 1. Suppose 2*i - y = -8, -5*i + 5*y + 1 = 16. Let m be 30\/(-24)*1\/i. Is m at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 683 + -685. Let t(u) = -4*u**2 - 9*u**2 + 8 - 6. Let i(f) = -2*f**2 + 2 - 1 - 2*f**2 + 0*f**2. Determine p*t(q) + 7*i(q).\nAnswer: -2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(1900)))**2 + sqrt(1900) - (sqrt(2736) + 1)**2*-3.\nAnswer: 62*sqrt(19) + 10112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 51*g. Let y(f) = -f + 431174. Give y(b(x)).\nAnswer: -51*x + 431174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 100.4994 millennia?\nAnswer: 100499.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1664 = -36*b + 34604. Suppose 5*x = -2*q + 351, -6*q + b = -q + 5*x. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -184815, -184830, -184855, -184890, -184935, -184990?\n\"Answer: -5*i**2 - 184810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 25*k - 17*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8297 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -9434.\nAnswer: -19\/9434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 37*a + 5*a + 49*a - a + 3.\nAnswer: 11*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122 in 5, -6, -2, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30167521523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2118227 - 0.0118227. Let j = -1\/42 + -1\/7. Sort w, -2\/11, 1\/3, j in descending order.\nAnswer: 1\/3, w, j, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + (109 - 37 - 50)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 3*v**2 - 6*v**2 + (-4 - 2 + 4)*(4*v**2 - v**2 - v**2) + v**2 - 2*v**2 + 6*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 8 = -3*d, -d + u = -12. Let t = 18513 + -18573. Let j be d\/(-6) - -1 - 182\/t. Are j and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 6*r. Let z = 29 + -33. Calculate o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329 by 16943.\nAnswer: 329\/16943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1358)\/(-13580)*(-3)\/(6\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 21*o**2 + 41*o + 128. What is h(23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 10 - 10. Solve r = 2*t + 30 - 36 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 4*-3*sqrt(14)\/sqrt(7)).\nAnswer: -72*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/12 - g**3 - 4*g**2 - 128*g. Determine y(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w, -5*w - 75 = -777*x + 772*x. Solve -71 = x*j - 143 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 5*x - 7*u + 8*u, -4*x = -x + 9*u - 93 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 21865795?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3384?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 86.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 5*b + 233, 12 = -96461*b + 96461*b + 4*z for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4097, 17462, 39737, 70922, 111017?\nAnswer: 160022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4245, -8531, -12817, -17103?\nAnswer: -21389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*i = 26, -360*v + 4*i + 24 = -356*v. Solve -f - 2 + 1 = -k, -v*k + 14 = 4*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225.6 - 225.65. Let t = 70.4 - 71. Sort -2\/3, t, v, 4 in increasing order.\nAnswer: -2\/3, t, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 9 - 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315639759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from {v: 2, z: 2, u: 5, i: 1, r: 2, m: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l*s**5 - 3*l*s**2 + 2*l - 17*s**6 + 2*s**3 wrt s.\nAnswer: -60*l*s**2 - 2040*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62443397 a multiple of 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -30510?\nAnswer: -30510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {r: 2, t: 2, y: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-16)\/(-6) - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5196257, 5196151, 5196045, 5195939, 5195833?\n\"Answer: -106*m + 5196363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-425 - 404 + 575)*((-1 + 0 + 0)*(-2*u + 4*u - u) + 0 - 7*u + 0).\nAnswer: 2032*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18600 and 900.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44449 by 21.\nAnswer: 44449\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-40))\/((-36)\/30)*2\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.2 (c) -0.08 (d) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 204\/(-5406) - 16544\/(-212). Which is the nearest to 0? (a) n (b) 5 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 4\/6)*9. Suppose 22*s - 78 = -4*s. Let z = m + s. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726545 is divided by 863259.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -459*p**2 + 176*p**2 - 424*p**2 + (6*p**2 - 8 + 8)*(2 - 3 - 1) as b*p + w + d*p**2 and give d.\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:20 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15759302 and 6461?\nAnswer: 110315114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6 + 51\/18 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/30 - 832598\/(-12090).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -906891, -3627709, -8162405, -14510979, -22673431, -32649761, -44439969?\n\"Answer: -906939*f**2 - f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0805055 - 1300.0025055. Let r = z + 1301. Let s = 1.1 - r. Round s to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d = 5*l + 250, -3*d + 4*l = -146. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54011340 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 8*s - 7. Let z be -5*((-12)\/36 + 2\/(-3)). Suppose 0 = -4*g + z*w - 20, g - w = -3*g - 20. Let a be d(g). Is 8 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {r: 1, a: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/80)\/((-6)\/4)*80\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -4e?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g**5 - 6*g**3 + 25*g**2 + 6. Let k(z) = 12*z**5 + 7*z**3 - 24*z**2 - 7. Let u(i) = -6*k(i) - 7*q(i). What is the third derivative of u(t) wrt t?\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.8722 - -12.7722. Let l = -83\/3 + 28. What is the third smallest value in 5, l, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**4 - 21675*w**3 + 64980*w**2 + 20*w - 86640 = 0?\nAnswer: -1, 2, 4332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -4*u**3\/3 + 1822. Let n(a) = 12*a**2 - 20. Determine n(l(k)).\nAnswer: 192*k**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 0*w + (2*w + 3 - 3)*(2 + 3 - 6 + (3 + 5 - 4)*(74 - 26 - 19)))*(-2 + 2 - 4)*(5*w - 2*w - 2*w).\nAnswer: -916*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {j: 5, o: 8, u: 4, t: 1}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 188 + 2309\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o**2. Let n(m) = 11*m**2. Calculate n(j(k)).\nAnswer: 1331*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 1. Let p(h) = h**2 + 2*h + 5. Calculate 4*f(w) + p(w).\nAnswer: w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 25) + (11 - (-31 - -11 - 1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83451 is divided by 435?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -19*o**7\/35 - 31*o**5\/20 - o**4\/24 - 28*o**2. Find the third derivative of t(u) wrt u.\nAnswer: -2736*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:14 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44\/17*o**4 + 6\/17*o**3 + 0 - 8*o**2 + 88\/17*o - 2\/17*o**5 = 0. What is o?\nAnswer: -2, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 24 = -0*n. Suppose n*a = 18 - 6. Factor j - 12 - j**3 + 8 + 3*j**2 + a - j**4.\nAnswer: -(j - 1)**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - -102. Let w be 36\/90*5\/n. Let t be -6*(-1)\/(4\/6). Which is the second biggest value? (a) w (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Let z = w + 5. Suppose -12 = -3*b, -99 - z = -4*f - b. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 0 + 0)*(-2*p**3 + 2*p**3 + p**3) - 190*p - 2196*p + 3*p**4 - 124*p as m*p**3 + g + w*p + u*p**2 + j*p**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f**4 + 52*f**3 - 80*f**2 - 16*f = 0.\nAnswer: -2, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 + 6 = 0. Let m = 2.2 - 1.2. What is the closest to m in -2, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 460\/(-352) + (-86)\/(-473). Put -2, w, -0.1 in descending order.\nAnswer: -0.1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -44730589421783 and 0.\nAnswer: -44730589421783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200200012 (base 3) to base 13.\nAnswer: 53ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 585\/(-234) - 1\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 912, 1072, 1340, 1716?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-1 - (-1)\/2). Let b be (2 - 2)\/(-2 - u). Suppose b = -t + 2. Solve 2 = -3*j - 4*z, j = -t*z - 4 + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 + -205 + 8 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 t when four letters picked without replacement from eueutbjzebu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 + 0.22.\nAnswer: 210.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 142\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + m + 12 = 0, 3*z - 26 = 2*m - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4746260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from {y: 2, o: 1, h: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68204 and 24276.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 14. Let v be w(-6). Calculate the highest common factor of v and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23112 and 7128.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1090 - -1569. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -52. Suppose 3*z - 844059 - 1420380 = d. Suppose -z + 165813 = -h. What is h rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b + 8*b - 15*b - 1. Let z(y) = 2*y + 3. What is -3*w(a) - z(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-5))\/((-3)\/(-15)). Solve -p + 6 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3 + 3*x**2 + 2*x + 0 + x. Let k be -1 - (-2 - (0 + -4)). Let u be y(k). What is the greatest common divisor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**4*t - 11*l**4 - 9*l**3*t - 1190*l**2*t wrt l?\nAnswer: -48*l*t - 264*l - 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7d2c8 (base 15) to base 11\nAnswer: 252766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (9\/(-6))\/((-3)\/140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-156)\/(-52).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -23. List the prime factors of 82*2\/8 + q\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013353347 a multiple of 3398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -0.16, 4\/81, -5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 167*u**2 + 647*u - 815.\nAnswer: (u - 1)*(u + 5)*(u + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from {z: 2, h: 7, x: 11}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(6\/4*1). Let s be (-1)\/(0 - (-4)\/r). What is the units digit of (s - 0) + 42\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3))**(-7)\/(n*n**(-8)*n**(-3\/5)) assuming n is positive.\nAnswer: n**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(18)\/sqrt(3)) + 2 - -3*4*sqrt(14)\/sqrt(2)) + 3 + (sqrt(14)\/sqrt(2) + -5 - sqrt(7)*-2*3)*-5 + -1.\nAnswer: -22*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 38*w + 18*w - 46*w - 3 - 2.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 27.1408863.\nAnswer: 23.1408863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*j + 0 = 10, -2*j + 4 = 0. Let c be (-5)\/((-2)\/2*h). Is -11\/2 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -452.9?\nAnswer: -905.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 0*l**5 + 6*l**3 - l**2 + 5*l**4 + l**4 + 2*l**5.\nAnswer: 2*l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 15*n - 132. Let w(o) = -23*o + 185. Let h(s) = -7*i(s) - 5*w(s). Determine h(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -7*v**2\/2 + 9*v - 2. Let b(p) = 4*p - 5. Let d(z) = -11*b(z) - 6*r(z). What is the units digit of d(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4 + 8. Let q = v + 0. Suppose 3*j + 3 = -0*n - 3*n, -4*n = 5*j + 9. Calculate the lowest common multiple of n and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/13*813 - 646\/4199 and 400.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2858 or -2857?\nAnswer: -2857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0 (c) 3 (d) 19.26 (e) -4 (f) 5 (g) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 37 = 17. Suppose 0 = -z*x + 17*x + 6. Solve -2*p - 8 = x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/30)\/(645\/5418) - 4 - -2\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 205043701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ad - 213?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppl when three letters picked without replacement from {p: 3, l: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 7. What is o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, h: 2, d: 1, y: 4, p: 4, e: 2}. Give prob of sequence dpy.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2016)\/15*(9 - (84 - -10)). Is b not equal to 11425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -688 and 21.2053?\nAnswer: -14589.2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6 minus 63671453.91?\nAnswer: -63671445.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 8*t + 270 = -t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116304107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/3 + p + 1. Let s(o) be the first derivative of g(o). Let v(k) = 3*k. Determine s(v(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -596358 divided by 126?\nAnswer: -4733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 3\/4, -1, 36451, -2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c**3 + 1\/24*c**6 + 1\/20*c**5 - 2*c**2 - 1\/12*c**4 + 3 + 0*c. Let z(n) be the second derivative of l(n). Factor z(x).\nAnswer: x*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - 60. Let w be (4 - (3 + 4))\/(-1). Suppose -38 = -w*x - 5. Calculate the remainder when g is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/95 + 87\/380. Let i(l) be the second derivative of -5\/6*l**6 - 1\/3*l**3 + 3\/14*l**7 + 21\/20*l**5 - l + 0*l**2 + 0 - q*l**4. Factor i(f).\nAnswer: f*(f - 1)**3*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a\/a**(2\/17))\/a)\/(a\/((a*a**(3\/4))\/a)))**(-2\/43))**(-47) assuming a is positive.\nAnswer: a**(47\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1556 - 1556. Which is the closest to 0.03? (a) m (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248 - -339. Suppose -87*d = -w*d + 1520. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 < -1693281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32643 = 179*g - 33001. Factor -69\/5*y - 36\/5 - 6*y**g + 3\/5*y**3.\nAnswer: 3*(y - 12)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v + 17*u - 11 = 2*u + 19*u + 303, 0 = -v + 4*u - 6 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)*q*q**(3\/5))\/(q**4*q*q**5\/q) assuming q is positive.\nAnswer: q**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 times -8.5?\nAnswer: -25551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-18) + 4 + (-34)\/9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1462*a + 11698. Let p be o(8). Let j = 1 + -1. Solve p = c - j*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -26*b**2 - 77*b + 1. Let x(t) = 124*t**2 + 390*t - 6. Let v(i) = -19*k(i) - 4*x(i). Let r(j) = -j**2 - 48*j + 2. Give 5*r(a) - 2*v(a).\nAnswer: -a**2 - 46*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -380 or -382?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -32, -66, 0.3, 64?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*m - 39737, 5*x + 4*m - 35342 = 14337. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125\/452 + -3\/113. Which is the fourth smallest value? (a) 5 (b) 0.2 (c) 1\/9 (d) k (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 210*u**2 - 873*u + 105. Calculate f(109).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 3*m = -10*b - 29, b - 7*m = 75 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18796015223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4439 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1903 is divided by 629.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = 1. Let b = i + 8. Suppose u - b = 7. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 8)*(-v + v - 2*v**2)*((3*v**2 - 5*v**2 + v**2)*(0 + 3 - 1) + 3 - v**2 - 3).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 10:00 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*h - 4, 2*t + 23*h = 26*h + 20. Solve -7*m + 16 = t*f - 5*m, -2 = f - m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:32 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 18 = 7*w - 70. Solve -75*v = w*v + 237 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1067, -1072, -1089, -1124, -1183, -1272?\n\"Answer: -s**3 + 2*s - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/5)\/(40\/700). Let o be (z - -25) + (-52)\/14*1. What is the closest to o in 5, -0.05, -9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*j - 4*m = 255*j - 31, 0 = -2*j + 3*m + 18 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 85\/(-15)) + 2\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**7\/5040 + z**6\/90 - z**5\/30 + 2*z**2. Let b(s) be the third derivative of q(s). Differentiate b(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 6 (c) 0.2 (d) -0.2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3615788 and 5772?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1931746.09 and -0.3.\nAnswer: 579523.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1341034432 (base 5) to base 6.\nAnswer: 202022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2750*v - 2749*v + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*q + 30 = 0, 0 = 5*b + 9*q - 2*q + 4*q - 10*q + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310225 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k = 6 + 32 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 28. Let w be ((-4)\/(-3))\/(8\/12). Suppose 4*b + b - 48 = -3*y, -m*b = -w*y + 32. Calculate the lowest common multiple of 10 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 5*m**2 + 4*m + 2. Suppose 4*s + 3*n - 17 = -1, -3*s + 5*n + 12 = 0. Let q be o(s). What are the prime factors of q\/9 - (-4)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312944 rounded to the nearest one thousand?\nAnswer: 313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 280 + 269. Let j = f + -528. Is 11 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5444.588 decades in years?\nAnswer: 54445.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 8*h**2 + 8*h - 4. Let p be q(7). Solve 0 = -5*m - 2*d + 15, -5*d + 9 = p*m - 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.466 - 0.066. Which is the fourth smallest value? (a) 2\/3 (b) -74 (c) y (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610 divided by -61.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -5 (c) 2\/21 (d) 2\/171 (e) 0.4 (f) 51 (g) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11699 + -11695. Let g(t) be the second derivative of 0 - 2\/3*t**3 - 26*t + 12*t**2 - 5\/3*t**m. Suppose g(c) = 0. Calculate c.\nAnswer: -6\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 10, -3, -17830 in increasing order.\nAnswer: -17830, -3, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10746 + 10748 + 10744 - 2*j**2 - 53716 + 10743 + 3*j**2 + 10746.\nAnswer: j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962314 is divided by 386?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 12 + 1. Suppose -k*n - 15 = -8*n. What is the smallest value in -4, n, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54016071 and 0.0242.\nAnswer: 54016071.0242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*o - 4*w - 26608, -w = 5*o - 66538. Suppose 75*t = 82*t - o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 90 = 8. Calculate the remainder when 11\/(-1) - (-130626)\/1107 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12 + 7 - 48 - 29 - 53*q**2 wrt q?\nAnswer: -106*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*k**2*x - 49*b**2*x + 52*b**2 + 2453*b*k**2*x - 2*b*k**2 + 2*b*k*x + 2*b wrt b.\nAnswer: -4*k**2*x - 98*x + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22309.29 micrograms in milligrams?\nAnswer: 22.30929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 44, 40, 34?\n\"Answer: -y**2 + y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 13*o + 10. Let l(c) = -5*c**2 - 14*c - 11. Let x(u) = 4*k(u) + 3*l(u). Give x(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*q + 5*g, 4*q - 5*g + 2 = -28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-4) - (16 - 15). Calculate the highest common factor of 52 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)*f**(-10\/3)*f)**(2\/57)\/(f*f**(-2\/5)*f*f*f**(2\/7)*(f**(-1)*f)**10) assuming f is positive.\nAnswer: f**(-20281\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 10 = 0, 0*f = 2*z + f - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302221 - 213033?\nAnswer: -1121320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 2*x. Let u(z) = z**3 + z**2 - 3*z - 2. Let c be u(x). Is (c\/(-2))\/((-6)\/(-36)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(40\/(-4)))\/(3\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + 9. Let b be 0\/1 + 9\/3. Suppose 0*r - u = -b*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13013 * -0.17.\nAnswer: 2212.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*x**5 - 95*x**4 - 15*x**3 - 211283*x**2 wrt x?\nAnswer: -5520*x**2 - 2280*x - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -22. Suppose 4*x - i - 201 = 0, 168 = -x + t*x + 5*i. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -776010 and 160.\nAnswer: -775850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5 - 4*z - 3 + 2*z. Let g(q) = 2*q - 3. Let j be (-16)\/(-136) + (-49)\/(-17). What is j*g(r) + 4*x(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6704, -13350, -19958, -26528, -33060, -39554?\n\"Answer: 19*a**2 - 6703*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/21198 + 4713023\/21198. Let k = b + -9323\/42. Calculate the common denominator of k and 43\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqp when three letters picked without replacement from {q: 3, x: 1, t: 1, p: 10}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880 = 37*o + 50*o - 131*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.1 - -18. Let g = 1.9 - n. Suppose -5*f + 5*o = 20, -2*f - 4 = -5*o + 7. Which is the closest to g? (a) -4 (b) f (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*i - 36*i - 221223*i**2 + 1 + 221224*i**2 - 71*i to j*i**2 + k*i + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/13)\/z*z)\/z)**(-5\/7) assuming z is positive.\nAnswer: z**(80\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -1\/4, 4\/9 in increasing order.\nAnswer: -4, -1\/4, 4\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/21)\/(292\/1533). Let y = 8 + -3. Let j(c) = 2*c - 3*c - 2*c. Let s(k) = 4*k. Determine u*j(n) + y*s(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*d, -2*f + 2*d - 7119 + 7123 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 6*d + 2. Let s be f(-6). Let j(a) = 0 + 4*a - 2*a - 4 + 2*a**s. Let c be j(-5). Calculate the greatest common factor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 82863 = 3*f - 4*c, 3*f + 5*c - 248674 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 190 and -1973745040.\nAnswer: -1973744850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**9\/4536 + o**8\/630 + o**7\/420 + 5*o**3\/3 - 6*o**2. Let i(t) be the first derivative of q(t). Factor i(f).\nAnswer: 2*f**3*(f + 1)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1274*y**3 + y**2 + 2*y. Is q(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 902880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(270)\/(sqrt(18)\/sqrt(2)) - sqrt(30)))\/((3*sqrt(162)\/sqrt(3))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 14 = -225*f + 223*f, 2*x - 24 = -5*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 185.8\nAnswer: 186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617525 a multiple of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 16 = d + 14, 4*a = 3*d - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -24*n + 73*n - 20*n - 45 - 26*n. Let i be s(16). Which is the second smallest value? (a) i (b) -2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17085 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 144 = 198. Calculate the remainder when 172 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154300 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 608, 611, 614, 617, 620?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103022 (base 4) in base 2?\nAnswer: -10011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -57695*t + 807762. What is a(14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*a**2 - 100*a**3 + 98 + 15*a**4 - 95*a - 18 - 151*a + 6*a = 0. Calculate a.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t - x - 529 = 0, 0 = -4*x - 16. Let q = -14 - t. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1799735 divided by 51421\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1839 is divided by 911?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*q + 6 = 12 - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**4 - 1954449*l**2 + 1763535*l - 3.\nAnswer: 12*l**2 - 3908898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (123 - 132) + (6 - 5) + 1 + -27\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + -9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4505866338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 84 - 16 = 0. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 < -37917\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 8. Suppose 80 = i + 63. Suppose x = 5*s - 2, 4*s = -13 + i. Give k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1693 (b) 4 (c) 204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose -19 = -a - f. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182266 and 1064?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233033030 (base 4) in base 15?\nAnswer: 90003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x + t, 3*t = -4*x + 21 - 7. Solve 2 = x*q + 2*l, -q - 4*l + 4 = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (2 - 3 - -3) - -10) + 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 79 + 15*l + 95 - 6*l - 6*l.\nAnswer: -l + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/104)\/(3755\/(-3004))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18)*36\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 473917*h**3*t**2 + 9799*h**2*t**2 + 38*h**2*t wrt h?\nAnswer: 2843502*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(704) + 3 - (sqrt(704) - (-4 + 1 + sqrt(704)) - (4 + (sqrt(704) - (sqrt(704) + sqrt(704) + 0)))))**2.\nAnswer: -240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - 96. What is the smallest value in x, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**5\/5 - 1242*c**4\/5 - 9*c**3\/5 + 744*c**2 + 2484*c\/5 = 0. What is c?\nAnswer: -1, 0, 2, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - j = -409, 4*v - 38*j - 1618 = -39*j. What is the greatest common divisor of 1053 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 5*n**3 + 7*n**3)*(-5 + 0 + 2 - 5 + 1 + 3 + (5 - 4 + 1)*(1 - 2 - 1)).\nAnswer: -88*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(3\/11))\/w**36)\/(w**(-2\/3)*w\/w**(-2\/19)) assuming w is positive.\nAnswer: w**(-22391\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.5693 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**5\/10 - d**3\/2 + 6*d. Find the second derivative of a(x) wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - j + 4 - 5, -3*m + 34*j - 31*j = -97 + 94 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/6 + -3\/2. Let u = -71.8 + 82. Let s = u - 10. What is the closest to g in s, 2\/23, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 0, -f + 5*x + 122 = -55. Let u = -11030 + 11041. What is the greatest common factor of f and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -65*u**2 - 1634*u + 12920. Let j(b) = 20*b**2 + 545*b - 4308. Let v(i) = -10*j(i) - 3*m(i). What is the derivative of v(a) wrt a?\nAnswer: -10*a - 548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22771\/12 - 1888. Find the common denominator of -1\/108 and d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-343)*14\/4. Find x such that -2\/7 - g*x**4 - 1\/7*x + 3\/7*x**2 + 1\/7*x**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 42*m = 44361. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2. Let j(s) be the third derivative of 1\/60*s**5 + 0*s + 0*s**4 + 2\/3*s**3 + s**2 + 0. Let y(c) be the first derivative of j(c). Give y(r(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**3 - 63*u**2\/2 + 114*u - 334. Solve s(d) = 0 for d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + a**2 - 42 - 3*a**2 + 17*a**2 - 43 + 85.\nAnswer: 15*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 13. Let n(i) = -i + 7. Let o be n(x). Let z(g) = 7*g**3 + 7*g**2 - 7*g - 1. Let k(b) = b**3 + b**2 - b - 1. Let s(u) = 6*k(u) - z(u). What is s(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 2268*f**2 - 31160*f + 106176.\nAnswer: -4*(f - 553)*(f - 8)*(f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25013 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 2:05 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -24*h**5\/5 + 49*h**3\/3 + 39. Find the third derivative of s(g) wrt g.\nAnswer: -576*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*n + 33. Let p be 7 - n*(-8)\/(-20). Find the first derivative of 6 - p*b**3 + 0 + 5 wrt b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**3*s**3*v - 133*r**3*s**2*v + r**2*s**3*v - 4*r**2*s**2*v + r**2*s*v + 14*r*v wrt r.\nAnswer: -6*s**3*v - 798*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = -3*l + 6, -4*l - i + 3 = 0. Let x be -2 + (10 - (8 + -4)). Suppose -3*d = 1 + 2, -2*d = -x*b + 10. Solve l = -o - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -69. Factor -6*q**3 - 50 + 50 + 5*q**b + 2*q - q**2.\nAnswer: -q*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) - (sqrt(396) + 2*sqrt(396)) - ((sqrt(121) - sqrt(121)*2)\/sqrt(11) - sqrt(11)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - 42 = 7*g. Suppose -g*m + 119 = -5*o + 2*o, 0 = 5*m + 5*o - 285. What is the highest common divisor of m and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 21057*q**2 - 21060*q.\nAnswer: 3*q*(q - 1)*(q + 7020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 2\/13, -5, 0.01, 4, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(728\/(-32))\/(21\/(-6))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 293*f - 7312. Give i(-267).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2335*w**2 + 2686*w?\nAnswer: -4670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20641.386 - -0.422.\nAnswer: -20640.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 678 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2191*h + 606*h = -924*h - 81862 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 13864*g + 419528. Calculate m(30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13)*-2*6 + -2 + -3)**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = w - 3*m, -4*w = -9*w + 5*m + 260. What is the remainder when w is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/362 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2773, 9635, 20595, 35653, 54809?\nAnswer: 78063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - -0.3. Let j = -1.1 + s. What is the third smallest value in 0.5, -2, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = 3*a. Let g be -3*a\/6 + 3. Let j(t) = 47*t - 186. Let l be j(4). Solve 3*n - l = -g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488480148 to the power of 1\/2, to the nearest integer?\nAnswer: 22102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -128126710\nAnswer: -1281267.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 1, j: 8, n: 5}. What is prob of sequence nnm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 5*i**2 - 236*i + 14*i**2 + 6*i**2.\nAnswer: 29*i**2 - 236*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 175974?\nAnswer: 527922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*o + 66, -4*o + 0*o = 5*z - 107. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(50) - sqrt(100)\/sqrt(2)) + sqrt(162) + -1.\nAnswer: 3 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + 2 + sqrt(17) + 3*sqrt(272).\nAnswer: 7 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111797.67556 - -111795. Let t = -2.68 - m. What is t rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p + 61*p = -54 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 304 + -2429\/8. Let q(n) = n + 2. Let i = 24 - 27. Let z be q(i). Which is the third smallest value? (a) -1\/6 (b) v (c) z (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -24. Let o be (-6)\/4*(-50)\/h. Suppose o = 2*r - 117. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(70)\/(sqrt(810)*-2)) + -5)**2.\nAnswer: -25*sqrt(7)\/9 + 8275\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 9*o + 11. Let n be y(8). Is 24\/(-28)*(-14)\/n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.055 + -6.895. What is g rounded to 1 decimal place?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86258 + 294?\nAnswer: -85964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -2, -3, 0.6, 0.5, 132 in increasing order.\nAnswer: -26, -3, -2, 0.5, 0.6, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -210.7 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000199 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -296.9 + 299.7. What is the nearest to y in 13, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 16*z + 72. Let u(o) = -2*o**2 + 8*o - 38. Let g(i) = -3*j(i) - 5*u(i). What is g(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-3\/8)))**(1\/40) assuming w is positive.\nAnswer: w**(3\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 12 + 12)*(2*v - 848 - 1160 + 1076).\nAnswer: -6*v**3 + 2796*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1573 + 1834. Suppose -607 + r = 10*h. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*l = 4, -3 = 13*d - 16*d + 3*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5417*q + 2711*q + 2707*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0\/1*(-2)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -37*j**2. Let f(y) = 7*y - 10. Let o(c) = 30*c - 42. Let b(q) = 21*f(q) - 5*o(q). Determine n(b(v)).\nAnswer: -333*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k + 50*k + 1367*k**2 - 21*k.\nAnswer: 1367*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/49?\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**3 + 29*y**2. Let i(s) = -2 + 24*s**3 + 2 - 23*s**3. Let u(c) = -g(c) + 6*i(c). What is the third derivative of u(n) wrt n?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79180 take away 10.7?\nAnswer: -79190.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 8. Let j be f(10). Let h be ((-96)\/j - 5)*(-2)\/6. Let x be (-8)\/(-70) - 2\/5. Put h, x, 0.4 in increasing order.\nAnswer: x, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 104*z - 18. Let k be m(-8). What is k rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/300 - 143*l**5\/50 + 3053*l**4\/4 + 9245*l**3\/3 - 2*l**2 - 64. Factor t(i).\nAnswer: 2*(i - 215)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 - 0) + -1)\/(1\/(-3)). Solve 2*s = m, 0 = 2*s - g*s + 3*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2593, 2594, 2595, 2596, 2597?\nAnswer: 2598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfwjxujwuxjwjffh. Give prob of sequence hjwx.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - z**3 + 6*z + 6*z + 17*z**2 + 2*z + z**4 - 13*z to i*z**3 + x*z**2 + d + v*z**4 + k*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhtv when four letters picked without replacement from ffvffffffffffhtvfft.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*(33 + -33). Let n(g) be the first derivative of -3 + j*g**3 - 7\/2*g**2 + 0*g - 2*g**4. Find the second derivative of n(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-14))\/((-24)\/(-28)). Let l = 758\/7 + -108. Let s = 0.1 + 0.1. Which is the nearest to 0.1? (a) y (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -11*d**5\/6 + 56*d**4\/3 - 164*d**3\/3 + 160*d**2\/3 - 8*d = 0?\nAnswer: 0, 2\/11, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23781.\nAnswer: 3, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4446 and 3705.\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -761 or -759?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-5)*(2 + (-11)\/(-2)). Which is bigger: o or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38343965 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 49. Let x(w) = w**2 + 24*w + 6. What is the least common multiple of f and x(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**4 + 4*q**4 - 4*q**4 - 5*q**4 - 4*q**4 + 0*q**4 + (0*q + 2*q - 3*q)*(-q**3 + 4*q**3 - 2*q**3).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/20)\/((-3)\/(-15)). Suppose 0*o + u*o - 6 = 0. What is the third derivative of -4*k**3 - 22*k**2 - 3*k**o - 7*k**3 wrt k?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, s: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(3) - -1*sqrt(3)*1.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175463.6204 rounded to the nearest 1000?\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4767575 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*k - 0 - 6, -3*x + 3*k = 0. Suppose z = x + 37. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002*y - 1410*y + 35243 = 22*y + 132603 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 = 2*l, -3 = -5*l + 2*l + 5*g. Let d = l + -3. Calculate the common denominator of 714\/(-40)*d\/3 and -67\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1572446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68935.\nAnswer: 5, 17, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 348902 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24605.\nAnswer: 5, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 10*z - 1 - 4 - 16*z. Let i(f) = -2*f - 7. Let v(o) = -o**3 + 3*o**2 + 9*o - 2. Let m be v(5). What is m*t(x) + 5*i(x)?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2438119, 2438118, 2438117, 2438116, 2438115?\nAnswer: 2438114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 5763000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 52, -3*s = -324*c + 329*c - 74 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/5 - (-6)\/(-10). Suppose -2 = 3*b + d*a - 11, -2*b = -2*a - 14. Let g(p) = 6*p**2 + 5 - b. Let l(r) = -r. What is g(l(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 11283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1323*o**3*u**2 - 9*o**3*u - 17*o**3 - 24*o**2 - 4*o*u**3 + 2*o*u + u**3 + 4*u wrt u?\nAnswer: 2646*o**3 - 24*o*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/19? (a) -43 (b) 0 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -155871 divided by 5773?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 8 = -4*k. Let y(s) = 11*s - 8. Let v be y(8). Suppose -v = -6*n + k*n. What is the lowest common multiple of n and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -625\/2 - 25*w - 1\/2*w**2 = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 12:31 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1377)*-1*-3 - (3 + (sqrt(1377)*-1 + sqrt(1377))**2 + sqrt(1377))) + 4.\nAnswer: 1 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925915?\nAnswer: 5, 185183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 172\/16 + (-1)\/(-4). Suppose -6*o + h = -3*o - z, 5*z - 20 = 0. Suppose 0 - 10 = -o*v. Solve v*y + 15 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((48\/(-90))\/(-4))\/(7\/(-70)). Which is the second smallest value? (a) -27.9 (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 o when four letters picked without replacement from egoojgoogo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 - 0.4. Let j = k + 0.2. Let n = 334\/249 - 2\/249. Which is the biggest value? (a) n (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*y - 4 = 0, 4*y = -7*n + 8*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(1\/5)\/f)\/f)*f)\/(f\/f**10)*(f**(-1)*f*f)**(2\/11))**(-2\/105) assuming f is positive.\nAnswer: f**(-68\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -d - 138 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2540.354 + 2537. Let l = -0.051 + j. Let g = l + 3.6. Round g to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1343 - 1338. Let g = 7 + 11. Suppose -f*v + g = 3. Solve -v*y + t = -7*y, y = -2*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 5*f + 5*a, -3*f + 3*a = 18. What is the nearest to 2 in -1\/8, f, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2319\/86 - 66\/43. Suppose 0 = 7*i - 110 - 6505. Let r = i - 7549\/8. Find the common denominator of r and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 46. Calculate s(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 1\/2*f**3 + 3 - 1\/224*f**8 + 1\/20*f**6 + 0*f + 0*f**7 - 1\/20*f**5 - 3\/16*f**4 + 12*f**2. Suppose g(o) = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gghggggghgggg?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 8*i - 59. Let v = 40 - i. Suppose -3*j = -2*j - v*u - 3, 0 = 5*j - u - 15. Solve 2*a - 7*n - 12 = -3*n, -2*a - j*n = 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:30 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -111? (a) 1.03 (b) -39 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5) + 13034\/(-140))*(-14336)\/17920?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532286 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*d - 30, 3*m + 9 = 2*d + 19 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-24))\/((-1)\/9)*-4. Suppose 4*h = -r + 5, -4*h + f = 5*r - 2*r. Let o be -1 + h\/(-5) - 146999. What is o rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*n**2 + 8323*n - 8323*n.\nAnswer: 83*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**3 - 4*o**2 - 3*o - 1. Let j be r(-1). Let p be j\/15*(0 - -5). Solve -z = 2*h + h + 10, -2*h + p*z = 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*b**2 - 10*b**2 + 15*b**2)*(111 + 330 + 12)*(b - 5*b + 2*b)*(2 - 3 + 3) to r*b**2 + n*b + p + k*b**3 and give k.\nAnswer: -63420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + 2*c**5 + 2*c**5 + (-7 + 3 + 2)*(0*c**5 + c**5 + c**5) - 3*c**5 - 3*c + 3*c + (-2396*c + 2396*c + 1017*c**4)*(4*c - c - c).\nAnswer: 2028*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 335 + 2182. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)\/h*h**16 assuming h is positive.\nAnswer: h**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3647472 divided by 1823736\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 7497.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*k - 5316, 4*k - 7650 = -4*m - 2322. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 23*t + 5*s = -23, -3*s - 13 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4862.6379 seconds to hours.\nAnswer: 1.35073275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6188091?\nAnswer: 3, 7, 13, 19, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvgtlflgltfgvgf. What is prob of sequence lttf?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u, -4*s + 3*u = -14 - 111. Let a = -15 + s. What is the remainder when 37 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11026.\nAnswer: 2, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -13. Let v = -700 + 698. Sort -16, v, s in descending order.\nAnswer: s, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2783.728 rounded to the nearest 10?\nAnswer: -2780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 179*u - 209. Let k(l) = -60*l + 69. Let w(v) = 11*k(v) + 4*t(v). Differentiate w(q) wrt q.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:48 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3\/3 - 21049*j**2\/3 + 7376616*j + 16262532 = 0. Calculate j.\nAnswer: -11\/5, 2106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 - 450*s**2 - 10125*s = 0. Calculate s.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -2*s - 6*s. Let w = s - 45. Let n(t) = -2*t**2 + 3*t + 3. Give n(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/2 - -19\/6. Let k = -10.3313 + 10.6313. Let z = -0.3 - -0.1. Which is the second biggest value? (a) p (b) -2\/23 (c) k (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -427, -424, -421, -418, -415?\n\"Answer: 3*n - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4956098035 to the nearest integer?\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76863419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 6:09 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514, -667, -820?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from rssvvreeeere.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2937 = 2*j - 363. Round j to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 + 3*c**5 + 2 - 16*c**2 - 19*c**5 wrt c.\nAnswer: -960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1389042mm to nanometers.\nAnswer: 138904.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 282 = 2*s - 12*q, 5*s = 4*q + 699. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 - 248 = 4*z + 2*k, -3*z + 5*k = -13. Which is the nearest to -29? (a) -2\/7 (b) z (c) -0.5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/(-24) - (-78)\/208. Suppose 0 = -5*s + 20, 0 = 5*n - 3*s + 5*s - 33. Factor -122*z**2 - 2*z**5 + 110*z**2 - 15*z**4 - z**n + 0*z**5 - 24*z**o.\nAnswer: -3*z**2*(z + 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -26, -2, 5 in descending order.\nAnswer: 5, 0.5, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8*(-3)\/(-90))\/(4\/6). Let v = -4 - -4. What is the biggest value in 2, v, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = -4*i. Let t = 7 + i. Suppose t*q + 0 + 6 = 0. Which is the smallest value? (a) q (b) 1 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55160256.\nAnswer: 2, 3, 23, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2. Let o(r) = r**2 - r - 1. Let q(s) = -75*s**2 + 60*s + 60. Let w(y) = -60*o(y) - q(y). Determine w(d(v)).\nAnswer: 240*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 5\/7 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68072\/153 - 3766\/9. Is 26 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20180878 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 6:22 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46842 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - g = -y - 3, 0 = 5*y + 4*g + 15. Let x = -18 + 12. Let o = x + 4. Which is the third smallest value? (a) -1\/3 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -206786 + -5?\nAnswer: -206791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1526.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 1458*q - 11742. What is d(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2363, 8971, 19993, 35441, 55327, 79663, 108461?\nAnswer: 141733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 15*q + 11*q)*(2*q**3 + 2 - 4*q**3 + 3*q**3).\nAnswer: q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46234\/165 + 1408\/5. Calculate the common denominator of v and -40\/69.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u = 75*u - 1484 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-4)\/(-20))\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91830989\/615 + -746599\/5. Let d = t - 10\/123. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2)*-1 + sqrt(6)\/(sqrt(16)\/sqrt(8)) + sqrt(3) - (((-4*sqrt(18))\/sqrt(6))**2 + sqrt(9)\/sqrt(363)).\nAnswer: -48 + 10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127035378 rounded to the nearest 1000000?\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 98 = 23*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 98 + 1\/3*3. Suppose r + a = 4*r. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 44*v**2 + 11*v**2)*(-68*v**2 + 122*v**2 - 120*v**2).\nAnswer: -3894*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42077 is divided by 6009.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 + 35. What is the tens digit of h(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -34?\nAnswer: -83\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 + 25. Give x(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*m - 8*m - 13*f + 207, -5*m + 3*f - 72 = -m - m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.3 + -37.31. Let v = -0.01 - x. Sort v, 3, -3 in increasing order.\nAnswer: -3, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**7\/420 + f**6\/60 - f**5\/24 + f**4\/24 - 3*f**2\/2 + 11*f. Let r(y) be the first derivative of v(y). Solve r(h) = 0 for h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*-3 + sqrt(3) + sqrt(768).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**11*m*m*m**2)**(12\/7))**(-8\/7))**(3\/11) assuming m is positive.\nAnswer: m**(1440\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8314474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 8*n. Suppose 9 = -3*q, n = -2*y + q + 7 + 6. Solve -3*v - 6 = 2*l - 2, 2*l = -y*v - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:13 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.918597 millilitres?\nAnswer: 0.001918597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3204 and 100748?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 244152 and 5066154.\nAnswer: 20264616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2941\/181761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21004 and 535602.\nAnswer: 1071204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzaazjzrjrjjzkz. What is prob of sequence ar?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 8.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9913 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15796.\nAnswer: 2, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 14932 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 1. Let b be u(-2). Suppose 27 - b = -2*i. Let x = 22 + i. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/8*(-12)\/14. Let k = -244 - -246. Let n be (k - 2) + 6 - (-17 - -13). Solve -2*p = 4*w - n, w + c*p + 1 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + i + i - 5*i + 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 at least 313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 220\/24 + (-2)\/12. Let l be -3 - -6 - (0 + -1). Let q be 112\/(-672) - (4\/8 - (-14)\/6). Sort q, f, l in increasing order.\nAnswer: q, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 42, 83, 162, 291?\n\"Answer: 2*t**3 + t**2 - 2*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 2*y + 4. Let z be o(0). Let r(b) = 2*b - 8. Let l be r(z). Solve k - 4*i + 4 = -3*i, l = -2*k - 5*i + 27 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h - 5*h - 9 + 2*h + 5*h - 4*h as i*h + m and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2659 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529559 a multiple of 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12700099943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4 - -3)*6)\/(-2). Suppose -9*d + 15 = -c. Solve 5*q - 3 = d*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (13 + -2 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + j + 3. Let h be b(-2). Let o = h + -27. Which is greater: o or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, -0.908, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6298961959.\nAnswer: 859, 7332901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 9*h**2 + h - 2. Let s be z(9). Solve 0 = -s*t + 3*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 7 + (13 + -73 - -24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 + (-2 - (-16)\/12). Let r = -7 - -10. Let y = -0.4 + 1.4. Put m, r, y in descending order.\nAnswer: r, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - k - 8 = 0, 3*k = -13 + 1. Suppose -2*j - 9 = -4*s + 7, s - 13 = -l*j. Let n(t) = -j + 1 + 2*t - 3. Let d(p) = 2*p - 3. Give 6*d(b) - 5*n(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -34. Let z = x - 14.5. Let l = 13 - 14. Which is the biggest value? (a) z (b) l (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -882 and -40.\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8551 to 2 decimal places.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)\/y)\/(y\/(y**(-8)\/y)*y)*y**(-4)\/y**(4\/7) assuming y is positive.\nAnswer: y**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.745 and 1.\nAnswer: 0.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5 - 11 = 3*h, 4*n + 5*h = -19. Let o(m) = -2*m - 5. Let p(k) = 24*k + 502. Let g be p(-21). Let w(b) = -1. Calculate g*w(v) + n*o(v).\nAnswer: 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**7\/1155 - u**6\/132 - 3*u**5\/110 - 7*u**4\/132 - 2*u**3\/33 - 20*u**2. Suppose v(i) = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/(-10) - 1\/5. Suppose 81 - 596 = -q*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h**3 + 3*h**2. Let x be d(-2). Let a be -155*(x\/20 - -3). Suppose 54 = s + 5*m + 3, 2*m - a = -2*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**0)\/f)**(1\/11))**(-17)\/((f**(-1))**5\/(f\/((f**(-2\/15)*f)\/f*f)*f**(-1\/5)*f)) assuming f is positive.\nAnswer: f**(724\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2, 0 = -4*d + 4*f - f + 1. Let i be (-6)\/16*(-4)\/9. Let q = 0.04 + 0.36. What is the nearest to d in 4, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 26 = -14. Let j = -3 - -3. Suppose -v = -j*v - 12. Calculate the smallest common multiple of x and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266075 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-98)\/(-8))\/(-1 - (-23)\/24). What is y rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*o - 30. Let c = o - 3. Let q(z) = 3 - 3*z + 2*z**2 + 6*z - 3*z**2. Give q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*v - 564 - 300, 2*i + 368 = 4*v. What is the units digit of 9\/(-2)*i\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 21*p**2 + 2. Let d(y) = -91*y**2 - 7*y - 14. Let u(j) = -87*j**2 - 6*j - 13. Let m(v) = 6*d(v) - 7*u(v). Calculate -7*f(o) + 2*m(o).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:12 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14161755?\nAnswer: 3, 5, 131, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 18*b**7\/35 - 3*b**6\/10 + b**5\/20 - 3*b**2 + 14*b. Let p(l) = 0. Calculate l.\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 6. Let f be n(11). Suppose -t = f*a - 74, 3*t + 4*a = -20 + 231. Calculate the remainder when t is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034 < 5791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m + 81*m**2 - 1\/3*m**3 - 5\/24*m**4 + 0. Let j(p) = 60*p + 25. Give 25*g(b) + 2*j(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(200)\/sqrt(4) + 1 + sqrt(50)*1 + 1) + -3)**2.\nAnswer: 180*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Suppose -2*j = -20 + u. Let l(s) = 2*s - 10. Is l(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 7*y**4\/12 + 1490*y**3\/3 - 426*y**2 - 2*y + 6544. Factor c(h).\nAnswer: (h + 426)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -236067.6857 and 0.004.\nAnswer: -236067.6817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20605, -82050, -184393, -327634, -511773, -736810, -1002745?\n\"Answer: -20449*x**2 - 98*x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*a + 4284 = -298*a for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 - 14*z + 17. Let o(y) = 18*y**2 + 0 - 5*y + 3 - 15*y**2 + 3. Give -17*o(b) + 6*t(b).\nAnswer: -3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177.4 + -187.4. What is the third biggest value in m, 3\/13, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95.61 + -95. Let c = z + -0.11. Let y = -9 + 14. What is the closest to 3 in c, 2\/19, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1339 + 0.0661. What is the second biggest value in -0.25, r, -3?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 379\/(-13) + 4\/26. Let t = -15 - r. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s + 3*s)*(4 - 2 + 0).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by (-185)\/(-20) + 3\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217*-19.426\nAnswer: -4215.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31899 - -2580. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (0 - 33 - -11) + (6 - -2) + 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-2\/7)*b)\/b)**(-7\/3))**(29\/2)\/((b*b**(3\/2)*b)\/b**2)**(-17) assuming b is positive.\nAnswer: b**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.045688ns to seconds.\nAnswer: 0.000000000045688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 29 + -49 + -36?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-8)\/8*6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 6. Let g be (2 + -3)\/((-1)\/b). Is ((-26)\/(-5))\/(1\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2135*k**4 + 6493?\nAnswer: -8540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 6:38 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -4)*1\/3. Suppose 3*x + 1 - 25 = f. Factor -4*s - x*s**2 + 16*s**2 + 0*s - 12*s**2.\nAnswer: -4*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/79949 and -52\/66824469.\nAnswer: 2071558539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 75 in descending order.\nAnswer: 75, 13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.97 + -0.03. Is 2\/5 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v**6)**(-13) assuming v is positive.\nAnswer: v**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -619828, -1239723, -1859618, -2479513?\n\"Answer: -619895*b + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -12*b**2 + 103*b - 8. Let o = -655 + 663. Let w be u(o). Sort 2, -5, w, -3 in ascending order.\nAnswer: -5, -3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5\/3 - 53*c**4\/3 - 67*c**3 - 247*c**2\/3 - 98*c\/3 = 0.\nAnswer: -49, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 1\/5, 4, 0.5, -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -10, 0, -1.29, -4, 2, 39 in descending order.\nAnswer: 39, 2, 0, -2\/3, -1.29, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/15)\/(-7))\/((-2)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 q when four letters picked without replacement from {c: 6, j: 1, h: 6, q: 1, k: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 2. Determine l(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 minus -0.13?\nAnswer: -497.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/12 + h**3\/2 + 2*h**2 + 2*h - 2. Let x(i) be the first derivative of p(i). Let v be x(3). Solve 0 = -v*f + 4 + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/303071436 and -143\/24.\nAnswer: 606142872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 22*r**2 - 334*r - 20. What is b(11)?\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -228 and -1?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**3 - 19*f**2 - 15*f + 99. Let b be c(6). Calculate the greatest common divisor of 81 and b.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 432 - (4 + (-2 - -2)). Let y = q + -3443\/8. What is the common denominator of y and 27\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9411 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*l - 44 = 0, 0*c = 5*c + l - 34. Suppose 0 = -i + 2*i - c. What is the remainder when 15 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.07 or 499?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235709190*g**6 - 477075131*g**2 wrt g?\nAnswer: -28285102800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.727 - -5.732089. Round a to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64786, 64797, 64832, 64903, 65022, 65201, 65452, 65787?\nAnswer: 66218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a132 + -1?\nAnswer: 6a131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8609, -4947, -18503?\n\"Answer: -13556*f + 22165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-2)\/6 + -3. Let f(n) = n**3 - 3*n - 3. Let t be f(d). Let x = -28 - -169\/6. Which is the biggest value? (a) x (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 133\/4 - (-2)\/(-8). Suppose 56*x - 68 = 1892. Is w greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/27 - -1) + 40\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5423 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*u = 116, 7*u - 91 = -v + 8*u. Let y = -93 + v. Suppose -15*o = -y*o - 45996. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1695034, 1694963, 1694844, 1694677, 1694462, 1694199, 1693888?\n\"Answer: -24*x**2 + x + 1695057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66338 and 15662?\nAnswer: 12670558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.89 + 0.11. Let f = -6.5 + 9.5. Put -2, v, f in ascending order.\nAnswer: -2, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106625 is divided by 81.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(242))*-2 + -4.\nAnswer: -22*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6083632?\nAnswer: 2, 79, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/3)\/(-6) - (-2)\/1. Suppose -4*b = -9*b. Solve b = w*z + 4*l + 24, z = -5*l - 1 - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:12 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3*p**3 + 76264*i**3 - 2*i + 21162*p**4 with respect to p.\nAnswer: -6*i**3*p**2 + 84648*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12727\/28 + -457. Let s = 26\/7 + o. Factor -25\/2 - 145\/4*u - 13*u**2 - s*u**3.\nAnswer: -(u + 5)**2*(5*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6860 and -59\/3920?\nAnswer: 27440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1741 + 640 = -342*k + 609 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 - 6*l**2\/7 + 36*l\/7 = 0. Calculate l.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((102\/(-5))\/(-3))\/(1\/60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13187 less than -2590618?\nAnswer: -2590618.13187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 8*o**2 + 13*o - 44. Determine t(-5).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.93 - -0.07. Let t = -22 - -18.9. Let b = z + t. What is the nearest to b in 4\/3, 0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 - (-110)\/8. Let m(y) = y**2 + y + 39. Let h be m(0). Let x = h - l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 - -117. Suppose 4*t - 2*s - 1170 = 0, -3 = -5*s + c*s. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:22 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/767993 and 63\/6143944.\nAnswer: 6143944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -7 - (-5 + 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -4 (b) -101 (c) 0 (d) -5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05844861 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) + 15196\/(-10). Let b = 13736\/9 + n. Calculate the common denominator of 13\/5 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-441)\/150)*(4\/(-40)*-140)\/3.\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/3)\/m**(1\/2)*((m*m**1*m)\/m)**(-12)*m**(-2\/7)*m*(m*m**0)\/m*m*m*(m**(-1)*m)**(-4\/11) assuming m is positive.\nAnswer: m**(-971\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(68) + sqrt(68)*1))\/(1*sqrt(256)*-1).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3473781 micrometers to centimeters.\nAnswer: 0.00003473781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26076*l**3 + 2263802*l**3 + 1467759*l**3.\nAnswer: 3705485*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/25502 and -97\/10.\nAnswer: 127510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 4*f + 0*f - 3*f**4 - 2*f**2 - 5*f as i + k*f**3 + w*f + a*f**4 + r*f**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*(-46 - -50 - (-66)\/(-2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let f = 0.722 - 0.66. Let b = 0.362 - f. What is the closest to v in 2\/7, 0.4, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3573 at least as big as -5442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4514 is divided by 264.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 181267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -98 (b) 0.10414 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k + 4. Suppose -3*b = 4*n - 18, -2*n + 4*n = -3*b + 12. Solve 0 = -0*h - b*h - k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6593 and 122491.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287370971.\nAnswer: 37, 239, 32497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2882, -5767, -8652?\n\"Answer: -2885*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 1. Let u(y) be the third derivative of -31*y**5\/60 - y**4\/12 - y**3\/3 + 25*y**2 + 16*y. What is -2*f(v) - u(v)?\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o. Suppose o = -t + 10 - 4. Let m be (-3)\/t - (-3)\/(-6). Let i(x) = x**3 - x**2 - x + 1. Let g(l) = -l**2 - l + 1. Determine m*i(a) + g(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/21 + -2)\/(2\/(-42)). Solve w*y = -2*y - 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-21)\/2) - (-110)\/(-330).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Suppose -7 = -y*s - 2*s - j, 23 = 4*s + 5*j. Solve 2*n + 8 = 0, -14 = 2*i + n + s*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -24. Let t = 49 - d. What is the third derivative of y**2 - 7*y**3 + 7*y**3 + y**2 + t*y**5 wrt y?\nAnswer: 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0, -1213?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 25 = s. Suppose -8 = 4*n - 4*z, 3*n - 2*n - 4*z + 11 = 0. Suppose 5*a + n = 6. Solve s*p = -a - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2805\/4 - -701. What is the nearest to w in -3, 2\/5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c996 (base 14) to base 10.\nAnswer: 111656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 228*d**2 - 82*d**3 - 1 - 230*d**2 - 2 + 2*d**4 to the form m*d**2 + w*d**3 + b*d + g + a*d**4 and give w.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/13)*(d*d*(d*d**(-3\/4))\/d*d)\/d*d)**(-42) assuming d is positive.\nAnswer: d**(-2961\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -82039.9878 to the nearest 100.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + (-21382)\/(-3). Let d be 3\/2*24\/18. Suppose -d*q - 5072 - s = 0. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 336.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b**2 - 162*b - 29. What is m(15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -457?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-15))**18*(a\/(((a*a\/a**2*a*a)\/a)\/a))\/a*a*a**15 assuming a is positive.\nAnswer: a**(-236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112017900 divided by -37339300.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 11. Let a be m(-7). Find the third derivative of -4*r + r**a + 4*r - 5*r**2 wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 31. Let p be m(15). Which is the closest to p? (a) 5 (b) -4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 24. Let p = i + 14. Suppose 0 = p*k - 159 - 9. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + m**2 + 2*m + 1. Let i be c(-1). Suppose 5*o + 4*b = -8, -i*o + 4*b + 7 + 1 = 0. Let u be (-2 - -1 - o)*-2. Solve 0*q = u*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 4*x - 3*x)*(-x - 1 + 1) - 18*x**2 - 2*x**2 + 4*x**2 + (-8 + 8 + 2*x**2)*(0 + 1 + 2).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 886*q - 109072 - 55844 = -1150*q for q.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose -2 = 3*s + 3*n + p, 18 = 5*s - 2*n. Let z(h) = -h**s - 3 - 1 + h + 4. Let q(v) = 2*v**3 + 4*v**2 - 4*v. Determine -q(f) - 4*z(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t - 16. Suppose -t*q - 1 = -22. Solve -4*g + q*a + 28 = 0, -3*a + 8*a + 12 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 91. Solve -2*m + 4 = 2*u, 3*m = 2*u + a + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/68 and -19\/22?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from oohoohxoxooh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**3 + d. Let y(r) = -r**2 - r + 1. Let p be y(0). Determine w(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -80, -263, -556, -965, -1496, -2155?\n\"Answer: -z**3 - 49*z**2 - 29*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36969 is divided by 36948.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -33898.622?\nAnswer: 33899.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w. Let l(z) = z - 1. Let d(x) be the first derivative of -x**2\/2 + x - 1. Let v be d(0). Let r(y) = v*j(y) - 2*l(y). What is r(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239973 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 9:21 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69145091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1501 by -7.\nAnswer: -1501\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 17*c**2 + 43*c + 13. Determine m(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3.08. Let u = h - 0.082. Round u to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 2. Let j be p(6). Let g = j + 5. Suppose 25 = r + 4*r. Sort r, -4, g in ascending order.\nAnswer: -4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2570 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36 and 62.389249?\nAnswer: 98.389249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 1. Let w be k(2). Suppose -125 = -w*f + 100. What is the units digit of 2\/(3*6\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5 + 51*u**4 + 217*u**3 + 169*u**2 - 216*u - 220 = 0. Calculate u.\nAnswer: -2, -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.1 in 1\/9, 1, -0.6, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -515, -520, -525, -530?\n\"Answer: -5*j - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 92*w**2 - 2*w - 49. Let x be k(-6). Suppose 0 = 5*j - z - 4105, 4*j - z - x = -2*z. List the prime factors of j.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100404 and 2088.\nAnswer: 5823432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1542303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 1:28 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f. Let u(y) = -257*y. What is r(u(j))?\nAnswer: -771*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*y - 87*y + 255*y - 9*y**2 + 3*y**4 + 6 - 85*y - 3*y**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 5*l + 119 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 15. Suppose g - 2*y = 1 + 12, 4*y + p = 0. Solve -3*a - 16 = 2*b, -6*b + 5*a = -3*b + g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 27*z - 9. What is the remainder when 175 is divided by f(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*d - 1078, -4*d + 232 + 316 = x. Suppose -x - 432 = -8*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-6))\/1 - 72\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(121)*1 - (sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*-1)*1) + sqrt(121)))\/(6*sqrt(539)*-2*2).\nAnswer: sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-144)\/(-9)*(-170)\/(-8). Suppose -7*g - 542 = p. Let t be ((-4)\/(-6))\/((-4)\/g). Which is smaller: 22 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*o - 68 = -2*p, -5*p + 91 = 2*o. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382752?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72179, 72262, 72335, 72392, 72427, 72434, 72407, 72340?\nAnswer: 72227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**2 + 3*w**2 - 2*w**2 - 15*w**2.\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 4. Let i = -609 - -600. Determine n(i).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 87, 200, 361, 570?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 11*u - 8*u - 3*n, 15 = 5*n. List the prime factors of u.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4898 = 5*v, 3*v - 6*o = -3*o + 2922. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**3 + 6*s. Let v(b) = 18*b - 89. Let t be v(5). Let r(f) be the first derivative of 0*f - t + 5\/2*f**2 - 3\/4*f**4 + 0*f**3. Give 5*d(y) - 6*r(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*i + 12 = 0, -2*n - 4*i + 1 = -13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464 = -2*f + 4*q + 4264, -6964 = -5*f + q. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13. Suppose -3*v = -5*i + 37, -3*i - v - 29 = -8*i. Solve -i*y = -5*a - 5, 3*y + 2*a = w - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + 2280?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -483.3071\nAnswer: -3866.4568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30738, 30684, 30628, 30570, 30510, 30448?\nAnswer: 30384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a century?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1492 by -5.\nAnswer: -1492\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/260*35)\/(-1)\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*q + 145 - 971. Is -3 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*1*sqrt(110) - sqrt(110))\/((sqrt(10) + 1*sqrt(10))*-5 + sqrt(10)) + (4 + -2*sqrt(99)\/(sqrt(9) + (sqrt(36) + sqrt(9) - sqrt(9))))**2.\nAnswer: -49*sqrt(11)\/9 + 188\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216881226*u**5 - 2*u**2 - u - 41567246 wrt u.\nAnswer: -13012873560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23367734*r**2 - 23367739*r**2 + 46735472*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260797523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/7 - 54*w**4\/7 - 123*w**3 - 3944*w**2\/7 = 0. Calculate w.\nAnswer: -29, -17, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2680 + 2650. Is x at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -486 * -5\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7*p - 3*p = 1502, 4*m = -4*p + 2004. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/120 + k**5\/4 - 5*k**4\/24 + k**3\/3 - 2*k**2. Suppose -3*p + 117 = 10*p. Is n(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let n(p) = 2*p**2 - 177. Give n(h(m)).\nAnswer: 8*m**2 - 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -94736 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 757 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 89 = 41 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 1590820299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 596, 25, -1, 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - (-6*sqrt(160)*-1 - sqrt(160) - sqrt(160) - sqrt(160))) + 5*1*sqrt(160))\/((sqrt(72)\/sqrt(9)*4 - sqrt(8)) + -2*sqrt(8)*1).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)\/(4\/(-34)). Suppose 3*q = o + 28. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 275. Let u(i) = 54*i**2 - i + 30. Calculate u(s(b)).\nAnswer: 54*b**2 - 29701*b + 4084055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162.2 - -19. Let r = -46 - q. Round r to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/24 - 18*v**2 - 3. Let c(u) = -81*u**2. Calculate s(c(k)).\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, k: 1, a: 3, p: 2}. Give prob of picking 2 g and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3466 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-128)\/(-3) + 2\/(-3). Suppose -z + 4*q = -45, 2*z - q - 57 = -4*q. Suppose 9 + z = 2*c. Calculate the greatest common factor of c and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 622477809 to the power of 1\/2, to the nearest integer?\nAnswer: 24950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 6?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-15))\/((1\/(-2))\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 47*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(85)*-1 - sqrt(85))\/(sqrt(405)*-2).\nAnswer: -5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -64?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-2 + 2 + 4)*(70 - 47 + 359)*(0 - 4 + 26)*(-a - a + 4*a + (2*a + 2*a - 2*a)*(3 + 2 - 3)) as d*a + j and give d.\nAnswer: 201696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 0.4 (c) 0.8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 78?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 0. Suppose 4*x = -3*q + 523, g*x - 533 = 3*x - 5*q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:08 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -14. Which is the nearest to -0.1? (a) -1\/6 (b) g (c) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14602220*h - 14602220*h + 12404*h**2)*(-3 + 2*h + 3) to the form y*h + u*h**3 + g + n*h**2 and give u.\nAnswer: 24808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-36))\/(36\/45 + 30586902\/(-38233640)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-40) + (-98)\/(-5). Suppose -42*l = -p*l - 28*l. Solve -5*h + 4*h - 3 = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -117, -181?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*v + 5*p - 61, 0 = 4*v + p + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 14*w + 36. What is the lowest common multiple of 20 and y(-5)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026483091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17592.3 rounded to the nearest ten?\nAnswer: -17590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 3 - (-60 + 70).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 8*w**2 - 6*w + 4. Let j(u) be the second derivative of u**5\/20 - 7*u**4\/12 - 5*u**3\/6 + 3*u**2\/2 + 23*u - 16. What is 6*j(z) - 5*l(z)?\nAnswer: z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*l + 8 = 0, 2*l - 7*l = -5*s + 5. Sort s, 4, 10 in decreasing order.\nAnswer: 10, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10967 + 2170 = -137*b - 6*b + 1983 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u + 1. Let b be z(2). Let p(a) = 4*a**3 - 4*a + 2*a**2 - 3*a**3 + b*a. Is p(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216 (base 9) in base 2?\nAnswer: 111011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**3 + 844705682*c**2 - 844705682*c**2.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4569 + 1628. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2.32.\nAnswer: 0.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.492488916 + -0.4925. What is k rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -412 - -851\/2. Let b = 5715 - 11421\/2. Factor b*h**2 + 27\/2 + 1\/2*h**3 + g*h.\nAnswer: (h + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155002 a multiple of 542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3 and 70\/107547.\nAnswer: 107547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 10:44 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2585777083\/1122 - 2304614. What is the common denominator of n and -23\/18?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12790 and 20.\nAnswer: 25580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (3\/(-3) - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 122, 40, -186, -628, -1358, -2448, -3970, -5996?\n\"Answer: -12*q**3 + 2*q + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7*a + 48. Calculate the lowest common multiple of 10 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 2. Let j be v(-5). Let y = 75 + -48. What is the highest common factor of y and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2 - 482055*w + 25540488 = 0.\nAnswer: 53, 160632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:45 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04508767 rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 193*y - 4*y**2 + 81 + 57*y - 41 + 136*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 903.1915 nanograms in milligrams?\nAnswer: 0.0009031915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/7))**3 assuming q is positive.\nAnswer: q**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000288615248 rounded to 6 dps?\nAnswer: -0.000289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/((-5)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -9, 2\/71, 73, 5?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*6.19\nAnswer: 6.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - 1.6. Suppose 3 = 3*q - 3. Suppose -q*h + 6 = -0*h. Which is the second biggest value? (a) 4 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.769, -4, 0.1, 47 in ascending order.\nAnswer: -4, 0.1, 1.769, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (308*c - 1664 + 833 + 830)*(1 - 2*c**2 - 1) + (0*c - 2*c + c)*(c**2 - 2*c**2 - c**2) to q*c**3 + f*c**2 + n + y*c and give q.\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = -15. Let h(n) = n**3 - 2*n**2 - 3*n + 4. Let p be h(u). Suppose p*g + 87 - 299 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76745764 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23802777 (base 9) in base 5?\nAnswer: 10434302443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/153 - -6739\/1071. Find the common denominator of s and -81\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1859)\/858*(-375)\/(-130)\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 28 + 44. What is the derivative of a*w**2 - 24*w**2 - 25*w**2 - 58 wrt w?\nAnswer: -50*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14238, 31782, 55924, 89964, 137202?\nAnswer: 200938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67566177, 135132355, 202698533, 270264711, 337830889, 405397067?\nAnswer: 472963245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020668 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 13*v = 238. Let p(j) = 4*j**2 + 7*j + 1. Calculate the remainder when p(-5) is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/(-36) - (-4)\/(-18). Suppose -2*o + 2*q + 6 + 4 = 0, z*o - 5*q = 25. Solve 5*j + 3 + 2 = o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*g + 2*g - 285, -g + 109 = 2*h. Suppose 48*p = h*p - 10316. Let a(i) = -19*i**3 - p*i**2 + 3*i**3 + 2580*i**2. Determine a(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from 0.045145175.\nAnswer: 0.015145175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((6\/(-3))\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-2)\/(-6) - 0). Let j(i) = -i**2 - 3*i + 2. Let g be j(w). Solve -g*z - 1 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 3*p + 2. Let m(s) = s**2 + s - 1 - 8*s - 1. Suppose -2*g + 12 = 2*d, -7*d + 34 = -2*d + g. Let c be m(d). What is f(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -532, -529, -524, -517, -508?\n\"Answer: b**2 - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21565?\nAnswer: 5, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53852.3774 rounded to the nearest 100?\nAnswer: 53900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -99, -79, -53, -21, 17, 61?\n\"Answer: 3*k**2 + 11*k - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)*c*c*c**(2\/5))\/((c*(c**17*c)\/c)\/(c*c**(1\/7))) assuming c is positive.\nAnswer: c**(-821\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b069 - -299?\nAnswer: -1a990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*z**2 - 18*z**2 - 4*z + 5*z + 3 - 17 wrt z.\nAnswer: -102*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b597 (base 16) in base 7?\nAnswer: 3115603","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is the cube root of 3100221115 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3025205 (base 6) to base 2.\nAnswer: 100011000101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/24 or 2\/1769?\nAnswer: -25\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-2 - (-17)\/2). Let h = 97 - 95. Suppose -223 = -2*o + 5*r, -526 = -5*o - 0*o + h*r. Calculate the highest common factor of p and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.46795902 to one decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 622*o**2*v**2 - 5*o*v - 7*o - 4*v**2 wrt o.\nAnswer: 1244*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uukk when four letters picked without replacement from {v: 2, k: 10, u: 4}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82852, 82697, 82556, 82435, 82340, 82277, 82252, 82271?\nAnswer: 82340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 + -0.0900013. What is q rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 9*p**2 + 6*p - 9. Suppose -s + 9 + 6 = 4*x, 2*x + 185 = 5*s. Let a be (-2)\/7 - 270\/s. What is the units digit of q(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28426*y - 28426*y - 101*y**2 to c*y + d + v*y**2 and give v.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1426544 and 445936.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461119750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*c + 3. Suppose 12 = -4*z, x + 6 = 4*x - 2*z. Let v = c - x. Is v smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71565 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 495696291 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.48838 rounded to two decimal places?\nAnswer: 56.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = j - 6 + 2, 0 = -4*j - 5*y + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 21*s**4 + 48*s**3 + 36*s**2.\nAnswer: 3*s**2*(s + 2)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b39b2 (base 16) to base 14.\nAnswer: 53a522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 148, 604, 1092, 1618, 2188, 2808, 3484, 4222?\n\"Answer: o**3 + 10*o**2 + 419*o - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/96 and -35\/172128.\nAnswer: 172128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05527730393 minus 432?\nAnswer: -432.05527730393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -18 + c - 1\/9*c**3 + 1\/3*c**2. Factor g(b).\nAnswer: -(b - 3)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5907 + -3137. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 8*m - 2. Let x be w(5). Suppose v = x + 3. What is the least common multiple of v and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 8*q - s + 1, 5*q - 5 = -5*s. Suppose q = 6*r + 41 - 143. Let f = -16 + r. Which is the nearest to 1\/2? (a) -1\/4 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.3617 decades in months?\nAnswer: 24283.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2 + 8*o + 5. Let y(u) = -5*u**2 + 8*u + 4. Give 6*a(r) - 7*y(r).\nAnswer: -r**2 - 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6525512239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*a - 1 - a**3 + 93*a - 2*a**2 + 9 - 180*a = 0. Calculate a.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5339697, -10679372, -16019047, -21358722?\nAnswer: -26698397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -3, -3\/17 in increasing order.\nAnswer: -3, -1, -3\/17, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cchhhchchcchccccccc.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((((k\/(k\/(k\/(k\/k**5)*k)))\/k*k)\/k*k)\/k)\/k)*k)**(-11) assuming k is positive.\nAnswer: k**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40\/7 (b) -2\/45 (c) 24 (d) -0.026 (e) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let t = -8 + 20. Let h be t\/8 + 9\/(-6). Let x = -30 + 30.1. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1\/150*s**6 - 2\/15*s**3 + 7\/60*s**4 + 20*s**2 - 1\/840*s**8 + 2\/525*s**7 - 4\/75*s**5 + 0 - s. Suppose g(f) = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 3*d + 4*d + (-2 + 2 + 2)*(0*d + d + 0*d) - 3*d + 3*d + 2*d + d + 0*d + 0*d + 2*d - d + 0*d + 10*d - 78 + 77 + 0*d to x + z*d and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/1665 - -19967\/21645. Let f be 122\/(-39)*6\/16. Let a = j + f. What is the nearest to -1\/2 in -3\/5, 3\/4, a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -119*j + 16. Let h(a) = 15*a**2. What is h(w(v))?\nAnswer: 212415*v**2 - 57120*v + 3840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(99) + (sqrt(99) - 1*sqrt(99))*3)\/((sqrt(54)\/(sqrt(2) - sqrt(18) - sqrt(2)))\/sqrt(3)).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 + -12313?\nAnswer: -11302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4268 = -4*r, 5*o - 1240 - 1961 = -3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 1, -16, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:25 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52923 take away 69?\nAnswer: 52854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)*j*j\/(j**12\/j))\/(j**(-1\/16)\/((j*j\/j**(8\/7)*j)\/j*j)) assuming j is positive.\nAnswer: j**(-841\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) + (sqrt(726) - (sqrt(726) + -2*sqrt(726)) - sqrt(6))) + 2 - ((1*sqrt(216) - sqrt(216))\/sqrt(8))**2*4.\nAnswer: sqrt(3)\/22 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - -0.05. Let t = -0.06 + p. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*o**3 - 253*o**3 + 126*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -48*v + 2. Let o be j(-1). Suppose 0 = 3*k - 2*k + g + 15, -4*k = 2*g + o. What are the prime factors of (-2)\/k + ((-1438)\/10)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 2161*s - 2164*s + 4*q, -5*q = 5*s - 130 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*f**2*p**3 + 5*f**2 - 3*f*p**3 - 30*f*p wrt f?\nAnswer: 56*p**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.41*-0.32\nAnswer: -0.1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275071*i - 272850*i = -13326 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 4*r**2 - 2*r**3 - 3*r**2 in the form d*r**2 + n*r + y + m*r**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (287\/1722)\/(((-2)\/(-2))\/(-1))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 3*z - 3. Let c(g) = -3*g**2 - g + 2. Let a be 6\/(-2) + -1 + 5. Suppose k - a = -0*k. Let s be c(k). What is w(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17)**(-1\/39) assuming a is positive.\nAnswer: a**(-17\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*t - 3. Let c = -90870 - -90868. Let u = 3 + 1. Put u, c, 2\/5, t in descending order.\nAnswer: u, 2\/5, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/8856 and 1\/76014.\nAnswer: 912168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*y = -10*s + 10, 0 = y. Solve -s = 5*v - 7*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1295 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6963\/41743?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/600 - i**4\/16 - 4*i**3\/15 + i**2 - 69*i. Let f(c) = 0. What is c?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 690955.9 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2432 + 14?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 6:06 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Suppose 5*i + 5 - 15 = 0. Let g(r) = -r**2 - 8*r**i - r**2. What is g(y(m))?\nAnswer: -40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 28*t = 12 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 12:57 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - 3*r**5 + 13*r**5 + (3*r**3 + 0*r**2 + 0*r**2)*(-r**2 + 0*r + 0*r) + r**5 + 4*r**2 - 4*r**2.\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1109588856 by 37.\nAnswer: -29988888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - 48.98. Let s = m + 48.9935. What is s rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = -30. Suppose -21 = w*j - 9*j. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at most -10\/751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, -4, 1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 - 193*f + 28816. What is d(59)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4310, 4502, 4694, 4886, 5078?\n\"Answer: 192*f + 4118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*m - 10*m. Let u be (-2 - -2)\/((-14)\/m). Suppose -2*j + 5*j - 36 = u. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 = -3*w, -5*w + 8 = -6*s + 3*s. Let d be 1 - w - (12 + -12). Suppose d = -5*x - 2*x + 266. Calculate the smallest common multiple of 6 and x.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343690 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -27974 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -595199 divided by -2?\nAnswer: 595199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087104245?\nAnswer: 5, 9043, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (567180\/(-132342))\/(((-2)\/(-7))\/(5 - 1)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 9 - 6*g + 4*g)*(-3*g + g - g) as h*g**2 + t*g + c and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1612*r + 48*r**3 - 398*r**3 + 1616*r - r**3 - 3*r**3 + 2*r**3 + (-4 + r + 4)*(0*r**2 + 3*r**2 - 5*r**2).\nAnswer: -354*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218640 divided by 18220.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*q - 18, 0 = -o - 3*o + q + 9. Let d = 12\/55 - -349\/165. Which is smaller: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32 and 23.413.\nAnswer: -8.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 9:43 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*i**2 - 188*i**2 + 31739*i - 31741*i.\nAnswer: -16*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:58 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -46. Suppose 5*y = -4*b + 37, -4*y - b + i*b + 11 = 0. Solve -y*h = -3*o + 6, 5*h + 3*o - 8 = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + -25. Let o be 33357\/r + 4\/(-22). Is o\/((-3)\/(-1))*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19411.\nAnswer: 7, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13318940 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: Suppose -2*p + 1216 = 4*j, -5*p - 926 = -3*j - 10*p. What is the biggest value in -5, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7086458 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7000293 + -2.7. What is j rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/5 - 2\/10*-6. Suppose 0 = 2*z + y, -3*g + g - z - 7 = 0. Let w = -0.01 + 2.01. Which is the biggest value? (a) w (b) -1\/6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31596*c**4 - 18966*c**2 wrt c?\nAnswer: 758304*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h + 2*h)*(15587 - 15587 + 836*h**4)*(2 + 1 - 5).\nAnswer: -3344*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -410.6 in 68, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*r + 9 + 176, -t + 5*r = -43. What is the remainder when (-7)\/((-1)\/(33 + -1)) is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e - 8fa349?\nAnswer: -8fa377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 189*j - 190*j. Sort -4, -33, j, 5 in descending order.\nAnswer: 5, j, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1081 = -9*m + 188. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2899 is divided by 468?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**7\/147 - 3*j**6\/70 - 2*j**5\/35 + 2*j**4\/21 - j**2 - 1. Let y(k) be the second derivative of b(k). Factor y(m).\nAnswer: -2*m*(m + 2)**2*(5*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -402345 or -402376?\nAnswer: -402345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 - -1) - (-59 - -58)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5039\/3 - -25198\/15. Solve -2\/5*d - 3\/5 + r*d**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*s**3 - 141*s**3 + 1 - 65*s**3 - 1.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*x**3 + 24*x**2 - 10*x**2 - 8*x**3 wrt x.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwdkkiiisiksikwiii. What is prob of sequence kii?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14268 = 59360*h - 59708*h for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2441 + -15\nAnswer: -2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-110)\/(-27) + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 28897*g + 28883*g - 57797*g + 6. Let n(d) = -7*d. Calculate f(n(p)).\nAnswer: 119*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77639990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w. Let z(k) = -68*k**2 - 59*k**2 + 346*k**2 - 101*k**2. Give m(z(q)).\nAnswer: -590*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1367346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 289213 to the nearest 1000.\nAnswer: 289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4453\/3 + 1486. Which is the second smallest value? (a) 4 (b) 2 (c) q (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose 0 = -x*p + p + 11. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20219 or -20178?\nAnswer: -20178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18794 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 159*t**2 + 297*t - 459.\nAnswer: 3*(t - 1)*(t + 3)*(t + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000687 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -928.\nAnswer: 45\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:08 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, 48, 41, 34?\n\"Answer: -7*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4)*-1)\/((-25)\/50). Let q(x) = x**3 - x**2 - x - 1. What is q(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1207784, 2415567, 3623350, 4831133, 6038916?\n\"Answer: 1207783*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 3. Let s be q(-7). Let c be 1 + -6*s\/6. Find the third derivative of 0*t**2 + 3*t**5 - 7*t**c + 5*t**5 + 6*t**2 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 9:05 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 r when four letters picked without replacement from zzrrzrcnnrlzrrzc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n + 19. What is the remainder when n is divided by (-3)\/((-9)\/(-3))*-10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-2*sqrt(3)) - sqrt(832)*4.\nAnswer: -33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71.919 - 71.919. Let l = 61\/119 + 1\/17. Sort x, l, 7\/6, 0.1 in descending order.\nAnswer: 7\/6, l, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fipi when four letters picked without replacement from fflplllffiflliflffff?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2326*t + 1223*t**2 + 2326*t.\nAnswer: 1223*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*l - 958, 0 = -2*l - 2*b + 184 + 456. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/3 - 5765*i**2\/3 + 536360*i\/3 - 12012880\/3.\nAnswer: -5*(i - 44)**2*(i + 1241)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52238440 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/8 - 14425*y - 416161250 = 0 for y.\nAnswer: -57700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/6 + h**3\/2 + 3*h**2\/2 - 92*h - 1. Let f be (-31 + -2)\/(-3) - 2. Suppose f = 2*g + g. Give c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 268737155, 537474312, 806211469, 1074948626?\n\"Answer: 268737157*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.6 + -9.6. Sort 4, j, -2 in decreasing order.\nAnswer: 4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**3 + 60*j**2 - 872*j + 72. Calculate w(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67374 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 0 + 0 + 3*r + 2*r - 3*r + r - 3*r + 0*r + 5*r - 4*r + r + (4*r - 3*r - 3*r)*(-1 + 2 + 1) + 2*r + 2*r + r)*(1 + 2 - 1) to k*r + n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58*g*j*o + 6*g*j*y + 21*g*j - 144531*g*y + 12*g + 15*j*o*y + 2*j*o + 59*j + o wrt y.\nAnswer: 6*g*j - 144531*g + 15*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4db212 (base 15) to base 2\nAnswer: 1110001111011011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*u**3 - u**2 + 6*u wrt u.\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-47.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygg when three letters picked without replacement from yyygygyyygyyyy?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 81307908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/(-10))\/((-1)\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -12. Let y = f - -3.5. Which is the second biggest value? (a) y (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 8*a - 51. Let z be y(-4). Let r(f) = -2. Let d(t) = t + 2. Give z*d(i) - 2*r(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -39*d**3 + d**2 - 1. Let o be (-1)\/(3\/(6\/2)). Let y be z(o). Let h = y - 24. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25276 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -39\/2*h**2 + 0*h + 29 - 11\/4*h**4 + h**3. What is the second derivative of t(c) wrt c?\nAnswer: -66*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 2*z + 4. Let c be f(0). Suppose x - c*x = -120. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6672*a**2 - 6674*a**2 + 13345*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/100 + h**3\/30 + 17*h. What is w in y(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 9112941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**3 + 10*r**2 - 18*r - 10. Let j(v) = v**3 - v**2 + v + 1. Let p(b) = -10*j(b) - x(b). Solve p(u) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4455522053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g. Suppose 0 = 22*n - 33*n. Let x(p) be the third derivative of 0*p + 1\/8*p**4 - 14*p**2 + 0 + n*p**3. Calculate h(x(o)).\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51378762 to the power of 1\/2, to the nearest integer?\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - w**3 + 2*w**3 + (0*w**3 + 0*w**3 - w**3)*(1 - 2 + 0) + 0 + 0 + w**3)*(218*w - 220*w - 126*w**2 + 37*w**2).\nAnswer: -267*w**5 - 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1304311 + 271518. Let b = m - -852054086\/825. Let q = -1\/75 + b. Is q < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*h - 16 - 251 = 0. Suppose -4*j - 5*n + 135 = j, 2*j - 5*n = 19. Suppose 3*x - 5*l - 27 = -2*l, -j = -h*x + 4*l. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32226 + -19916. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from bcookwk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-2*w + 2*w + w + (-2 + w + 2)*(-4 + 4 + 2)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 160 = -q. Suppose 4*a - l - 41 = -a, 2*l - 22 = -3*a. What is the highest common factor of q and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 24. Let p = 12 + l. Let d be (p - 89)\/(((-12)\/3)\/(-4)). Round d to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d3 - 2?\nAnswer: -3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24 = 2*w. Suppose w = q + 3*q. Suppose -l = 3*y - 0*y - 21, -50 = -2*l - q*y. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 5*o**4\/4 - o**2 + 3. What is the second derivative of w(h) wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7 = -5, h = -2*c + 12. Let n(l) = -8*l**3 + 7*l**2 - 8*l. Let g(t) = -8*t + 17*t**3 + 25*t - 5*t**2 - 10*t**2. Calculate h*g(a) + 13*n(a).\nAnswer: -2*a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -269, -680, -1263, -2018, -2945?\nAnswer: -4044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-59)\/(4248\/(-224)) - (-3)\/(-1). Let r(j) be the first derivative of 1\/6*j**2 - 14 + 0*j + b*j**3 - 1\/12*j**4 - 1\/15*j**5. Factor r(a).\nAnswer: -a*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 3*q + 3*q)*(-1 - 25 + 4 + 11 - 29015*q + 11).\nAnswer: -29015*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - j**2. Let t(u) = -36*u**3 + 40*u**2 - 32*u + 4. Let q(i) = 12*h(i) - t(i). Factor q(m).\nAnswer: 4*(m - 1)**2*(6*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12.09526ml?\nAnswer: 0.01209526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8055, -4 in descending order.\nAnswer: 8055, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d - 2. Let b be l(2). Let i be (-34 + 2)*b\/(-4). Suppose -c - c = -i. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42637611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.983144 millilitres to litres.\nAnswer: 0.009983144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 - 12*y. Let n(u) = -u - 7. Calculate g(n(s)).\nAnswer: -3*s**2 - 30*s - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdvi when four letters picked without replacement from ideviviiiviyieyib?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {e: 4, w: 1, j: 9, n: 2, s: 2, v: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2652, -10921, -24696, -43977, -68764?\nAnswer: -99057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*f = -9, -2*f + 4 + 0 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4 - 372*h**2*m + 2*h*m + 5*h - 17 wrt h?\nAnswer: -12*h**2 - 744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56586 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2012 is divided by 988.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2015 + 34354?\nAnswer: 40413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -222435, 1 in descending order.\nAnswer: 5, 3, 2, 1, -222435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 2*u**2 + 8 - 6*u + 3*u**2 - u. Let a be v(6). What is the units digit of (-115)\/(-13) - (-4)\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w. Let a(g) be the first derivative of -13*g**5\/120 - 2*g**3\/3 - 6*g + 33. Let y(n) be the third derivative of a(n). Calculate y(i(k)).\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 + 2*n - 1. Calculate the remainder when 38 is divided by t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 764 - 762. Suppose -3*t - 5*a = 70 - 40, -3*a = c*t + 19. Let b(s) = -2*s**2 + 10*s - 6. Let g be b(6). Put t, g, 4\/7, -4 in descending order.\nAnswer: 4\/7, -4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1109, 1203, 1309, 1433, 1581, 1759, 1973?\nAnswer: 2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(75\/(-6))*-5 - -5. Solve -5*r + w*m = -0*r - 13, -m + 1 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11947352 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: Does 628 divide 714258940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0135897 to 5 dps.\nAnswer: -0.01359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = b - 44, -2*b + 186 = 2*b + 2*q. Suppose 72 = 12*a - 9*a. Calculate the remainder when b is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35783644 to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12781.\nAnswer: 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -833286 divided by -6\nAnswer: 138881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 4*v - 10. Let c(t) = -5*t**3 + 11*t - 30. Suppose -u + h = 0, 61*h - 65*h + 32 = 4*u. Determine u*c(x) - 11*w(x).\nAnswer: 2*x**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/9*159\/(-106)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(66)*-2 + sqrt(66))*2*-2)\/(3*(-1*sqrt(864)*-5 + sqrt(864) - sqrt(864))).\nAnswer: -2*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1200)\/(-105))\/(-20))\/((-60)\/14) - 1681\/(-1230).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - d - 3. Suppose 4*k - 28 = -4*j + 3*j, 5*j = 2*k + 74. What is the remainder when j is divided by n(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.96 + -0.04. Let j = -6.8 - v. Let z = 5 + 0. Which is the second smallest value? (a) z (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.012 in -11, -0.3, 655?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (25\/7 - -1) + -2 and 67\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6780501, 6780502, 6780503, 6780504, 6780505?\nAnswer: 6780506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.195 + 1.06. Let f = -0.335 - h. Which is the third smallest value? (a) 5 (b) 0.11 (c) 0 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 672 divided by -84\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*q - 9, 5*x + 14 = -4*q - 1. Is q > 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -8*o**3\/9 + 73*o**2\/3 - 12*o + 27. Factor x(q).\nAnswer: -2*(q - 18)*(4*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773412951?\nAnswer: 1773412951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 + 74*v + 42. What is d(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -10 - 8) + -9 + 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 9*w - 99 = -229*w + 9 + 72, 97 = -5*h - 3*w for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98979, -198001, -297023, -396045, -495067?\nAnswer: -594089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/6)\/a**8*(a**1)**(-8\/7))**(-22))**(-2\/57) assuming a is positive.\nAnswer: a**(-8294\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 + 18 + -16 + 4 + -43 + 0\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 3461*f**3\/3 + 5730*f + 1141. Differentiate g(h) wrt h.\nAnswer: 6922*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -2.54, 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + 2*sqrt(5)) + (sqrt(5) - (3 + sqrt(45) - sqrt(5))) + 3 + -5)**2.\nAnswer: 234*sqrt(5) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by -13.\nAnswer: -304\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11692448 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23242280 to the nearest integer?\nAnswer: 4821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (-4*(sqrt(17) + sqrt(153)))**2)*2*2.\nAnswer: 4*sqrt(17) + 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5672 = -28*g + 27*g, 4*r = g + 7558. Round r to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40573 is divided by 20267?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 95965?\nAnswer: 95965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -119476 divided by 4?\nAnswer: -29869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3814\/30 - (-42)\/(-315). Suppose -f - 56 = -3*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -2*q + 3*n, -4*q + 222 = 5*n - 7. Let k(o) = o**3 + 8*o**2 - 10*o - 4. Let u be k(-9). Suppose m = u*m - q. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 274 = 16*n - 536 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33660 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1222*q + 60*q**2 - 17672\/3 + 2\/3*q**3 = 0?\nAnswer: -47, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.54 + -66.56. Let z = -1.6 + h. Let o = z + 82.700000453. What is o rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m + 15*m + 4*m to the form y + n*m and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 15*u**2 + 7*u + 10. Let p be i(8). Find the third derivative of -3*d**4 - 2*d**4 - 4*d**4 - 23*d**2 - p*d**4 wrt d.\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, g: 2, c: 2, r: 6, a: 3}. What is prob of sequence cvgr?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/12)\/5 - (-76633)\/333915 and -119\/150?\nAnswer: 16950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = v - 5*v + 17, -6 = -2*v. Let z = l - -1. Solve z*k - 1 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Suppose -v*w + 0*w = 32. Let o = w - -13. Solve -o*z = m + 9, 4*m + 1 - 5 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*s - 310*s - 2*s**2 - 97*s to the form i*s + r + a*s**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wazoq. Give prob of picking 1 z and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 107, 115, 137, 179, 247?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*a**5 + 7*a**3*y**3 + 2636*a*y**3 wrt a.\nAnswer: -1480*a**3 + 42*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25108347*r**3\/4 - 2636480583*r**2\/2 + 10935648*r - 22680 = 0.\nAnswer: 12\/2893, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2*u*z**2 + 53729*m**2*x*z**3 + m**2*x*z**2 + 1530*m*u*x*z**2 - 3*m*x + 3*u*x*z**3 + 2*u*z**3 + x*z + 5*x wrt z.\nAnswer: 322374*m**2*x + 18*u*x + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 884, 1714, 2470, 3152, 3760, 4294?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*1 + sqrt(304) + 4)*2.\nAnswer: 8 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 885 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 2*b + 4*b**2 - 3*b**2 - 119*b**3 + 2*b. Is c(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -16 (c) 2 (d) -53046\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -291*k**2 + 280*k + 565. Give c(-2).\nAnswer: -1159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 11. Let h(c) = -5*c + 3. Let d be h(i). Suppose -3*y + 22 = 5*g, g - y + 5*y = d. Solve -g*u + 5*u + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -56*l - 1908 + 1143 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3293531 millimeters?\nAnswer: 329353.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d - 39. Let j be u(-6). Suppose 0 = -j*s + 4*s + 44. Put 1, 29, s in ascending order.\nAnswer: 1, s, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 13. Let o(y) = -230*y - 1 + 244*y - 10 - y**2. Does 2 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4086, 4088, 4090?\n\"Answer: 2*d + 4084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 26. Let j = -9.999971 - r. Round j to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724 is divided by 232?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*v - 28 = 0, 2*o + 3 = 3*v + 24. Suppose -i - o*i = -16. Suppose 0*z = 4*w + 2*z - 216, -8 = i*z. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110285 greater than 110249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -5. Let n = -42 - a. Is 1\/(-3) + -6 + (-30919)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5207598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2129\/174 - -73\/6. Let h be 64\/24*4\/16*-2. Put -2, 0, z, h in descending order.\nAnswer: 0, z, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/5)*t*t*t**(1\/7)\/t)\/(t\/t**(-2\/3))**38)**(3\/13) assuming t is positive.\nAnswer: t**(-6404\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/15 + 0 + 206\/3090?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -44. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 5*s - 189. Calculate the remainder when s is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7622931 divided by 245901?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 8*p. Let n be w(-4). Suppose -4*r + n = 0, 0 = -0*y - 2*y + 5*r - 18. Let i be (y - 0)\/(2\/4). Solve -3*m = m, 2*z - i = -5*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2))\/(1\/3). Let y be d\/(-2*2\/1). Let x = -12 - -7. Which is the second smallest value? (a) -0.5 (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 196592.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(-60) - 7715\/(-75) is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c52 (base 13) in base 3?\nAnswer: -2212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-30)*1\/(-2). What is the nearest to 0.2 in s, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 110*g**2 - 851*g - 740. Let j(f) = 3*f**2 + f - 2. Let o(s) = 60*j(s) - 3*m(s). Factor o(i).\nAnswer: -3*(i - 175)*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - v + 2)*(1 + 0 - 14*v**4 + 1263*v**2 - 1264*v**2).\nAnswer: 14*v**5 + v**3 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/6)\/(42\/6730). Let g = -1201 + q. Let r = g + -2\/7. What is the biggest value in -0.1, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459608146 to the power of 1\/2, to the nearest integer?\nAnswer: 49594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*r**2 + 22646*k*r - 4*k - 1082414*r**2 wrt k.\nAnswer: -r**2 + 22646*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -13*z - 15, -9*z = -120792*u + 120791*u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/(1\/219). Differentiate -134 + 72 + 5*d**3 + i with respect to d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f*f\/f**(1\/5))\/(f\/(f\/(f\/((f*f*f**1\/f*f)\/f))))**(-20)*((f\/(f*f\/(f*f**(1\/9))))\/(f*f**(7\/5)*f))**(2\/15) assuming f is positive.\nAnswer: f**(-14381\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.56 and -33354617.\nAnswer: -33354616.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*n + 72, -2*n + 15 = n. Let w = g + -21. Let z be 10\/12*w\/(-10). Which is the biggest value? (a) -2 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Suppose -5*l = 4*z + 5 + 15, -z = t*l + 5. Suppose 4*q - 5*a - 8 = 81, l = -4*q - 2*a + 82. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzh when three letters picked without replacement from hlzhhhhyhhylhhhh.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and -150.\nAnswer: 55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -0.062, 1\/2, -0.09, -2\/13, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-6)\/(-35)*125\/65. Let i = 18\/13 + n. Put -11\/4, i, -0.3 in descending order.\nAnswer: i, -0.3, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 35 + 3*b - 40)*(-2*b + 0*b + 4*b).\nAnswer: 6*b**2 + 92*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -18. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1846562755 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2abb5 (base 15) to base 9.\nAnswer: -228728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v = 10. Let c = v + 16. Suppose c*b = 4*b + 2700. What is b rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -213?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 1493, 5616, 13971, 28046, 49329, 79308?\nAnswer: 119471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/11, -5\/4, 13.029?\nAnswer: 13.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 2*v**2 - v + 3839. Let j be s(0). Suppose -9*t + 14*t - j = -4*y, 3838 = 5*t + 3*y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -4337\/19956?\nAnswer: -4337\/19956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 2, g: 3, p: 2}. Give prob of sequence gf.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 18 (b) -0.2 (c) 1\/432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 38 (c) 0.5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 13*u**6 + u**2 - 24*u + 840. Find the second derivative of y(n) wrt n.\nAnswer: 1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1 = a - 2, 0 = -2*g + 2*a + 6. Suppose d + 10 = -g*p, -2*d + 3*p = -d. What is the common denominator of -37\/4 and (-5)\/(-30) - (-53)\/d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 754676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/12 - q**3\/6 + 27*q**2\/2 - 21*q. Suppose -w + j - 2 = 0, 5*w + 5*j - 5 = 5. Calculate v(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0364 minus 270?\nAnswer: -269.9636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 12 + 21\/16*k**4 + 1\/2*k**2 + 29\/12*k**3 - k. Factor a(z).\nAnswer: (z + 1)*(3*z + 2)*(7*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-5 + 6) + 37. Suppose -l*c - 28 = -42*c. What is the closest to 1\/3 in 5, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 811.2 - 746. Let x = m - 3. Let i = 81 - x. What is i rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 1034\/198) + 0\/(-1) + -3. What is the second smallest value in -46, -0.03, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 92*p**2 - 78*p - 14. Let w(v) = 92*v**2 - 77*v - 15. Let h(x) = -7*r(x) + 6*w(x). Solve h(k) = 0 for k.\nAnswer: -2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 159 = l - 3*l, 0 = r - 4*l + 53. Let c = 93 + r. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-1))\/h)\/(h*h**(1\/2)*h))\/(h**(-2\/5)*h)**(-25) assuming h is positive.\nAnswer: h**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 417973622 by -11.\nAnswer: -37997602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3964 minus -779805?\nAnswer: 775841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 24*r**2 + 17*r - 19. Let q be l(1). Calculate the highest common divisor of q and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 15 - 21)*(-2*z**4 + 5*z**4 - z**4)*(2 - 4 + 5).\nAnswer: -222*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 2*x**2 - x + 3. Let o = -479 - -703. Let f = -227 + o. Determine v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 + 3)*(-4*h + 4 - 4 + (0*h - 2*h + 3*h)*(-2 + 0 + 0)) + 2*h + 0*h - 4*h - h + 8*h + 2*h.\nAnswer: 61*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 3*d**2 + 11*d**2 + (-d + d + d)*(d + 12*d - 6*d) - 152*d + 5*d**2 + 152*d + (1 + 1 + 0)*(0 + 0 + d**2).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxd when three letters picked without replacement from dxyyddxwyatdyxy.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 48 = -153. Let s = f + -13. Suppose -607 = -3*d + 5*v, -s*d = d + 4*v - 589. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3658*j + 4. Let o(p) = 119*p + 3. Determine c(o(i)).\nAnswer: -435302*i - 10970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 - (-36 + (-72 - -106)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36163 + 139530. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 3. Let y be p(-3). Suppose y = -2*o - 4*n - 2, -n + 11 = o - 3*n. Solve o = -3*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*f + 9*f**2 + 104*f - 11252*f**3 - 9*f**2.\nAnswer: -11252*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/6 - 12\/(-18). Let m be (-7)\/p + 4\/12. Does 9 divide (1 - m - 4)*-13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2776 + -2779. Let w = 4 - -4. What is the nearest to m in w, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddssds. Give prob of picking 1 d and 3 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2*t + 0*t**3 + 0*t**2 - 3 - 1\/2*t**4. What is the derivative of h(c) wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4880638 or -4880643?\nAnswer: -4880643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44.43 * 2.7\nAnswer: -119.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**6\/120 + 3*m**5\/20 + 23*m**4\/24 - 3*m**3\/2 - 180*m**2. What is the hundreds digit of c(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.274 - -0.27400222. What is z rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126806, 3, 2, 0 in ascending order.\nAnswer: -126806, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 6, t: 2, m: 9}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660695 is divided by 2447.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-4 - -5) + (-1 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8007 and 30396.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1728 + -1350. What is the greatest common divisor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4 + 3*k**2*z - 298*k**2 + 6914*k*z wrt k?\nAnswer: 24*k**2 + 6*z - 596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17259 * 227\nAnswer: -3917793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-87 + 3) - (75 + -31 - 46).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g. Let z(t) be the first derivative of 22*t**3\/3 + 9. Determine j(z(a)).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 4. Let g be b(1). Let l(i) = -i**3 + 3*i**2 + 10*i + 3. Let n be l(g). Suppose 6 = -3*k, -5*k = -a + 7 - n. Which is greater: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 334093504 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23480, 46958, 70422, 93866, 117284, 140670, 164018?\nAnswer: 187322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 137515.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 2652\/757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3610, -7221, -10832, -14443?\nAnswer: -18054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 3*s**2 - s**2. Let y(h) = -2*h + 3. Let c(w) be the first derivative of 3*w**2\/2 - 4*w - 7. Let d(m) = 3*c(m) + 4*y(m). What is d(j(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26.466 * 4\nAnswer: 105.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(561\/(-477))*(-17765)\/3135.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}