diff --git "a/data/dm_maths/full_data_2/1909_11255.jsonl" "b/data/dm_maths/full_data_2/1909_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1909_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 0.009745 rounded to four dps?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 + 35 - 8)*((-2 + 0 + 4)*(2*p + 2*p + 0*p) + 3*p - 4*p + 3*p) in the form o*p + j and give o.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 + 2*w**3\/3 - 7*w**2\/2 + w. Let o(z) = 5*z**2 - 27*z - 62. Let v be o(7). Determine l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109031.\nAnswer: 13, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 - 9*j + 33. Let u(p) = -p**2 - 2*p + 8. Suppose 5*z = -15, 1335 = -3*r - 6*z + 2*z. Let h = r + 443. Determine h*k(f) - 9*u(f).\nAnswer: f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/21)*m**(-8)*(m**(-1\/8)*m*m*m)**1 assuming m is positive.\nAnswer: m**(-853\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1. Let n be ((-8)\/(32\/(-12)))\/((-2)\/6). Let p = -42\/5 - n. Which is the closest to f? (a) 2 (b) -1\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o = 74*o + 34*o + 632 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 >= 3626\/243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-13))*j*j**(-1))\/((j*(j\/j**(-7)*j)\/j)\/(j\/j**2)))**24 assuming j is positive.\nAnswer: j**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -342 in 2, 0, -2, -0.29, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14412 divided by 3824\nAnswer: 3603\/956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49 and ((-39)\/18 - -3)*-21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 867. Let h(p) = 2*p - 436. Calculate 9*h(g) - 4*m(g).\nAnswer: 2*g - 456","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*c - 48 = -2*r, c = 2*r - 34. Let x be 5\/(-3) + (-5)\/r. Let y = x - -4. Solve 0 = -y*i - i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1351\/2 + -10715\/16. What is the common denominator of -87\/22 and f?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2 - 84*b - 156 = 0.\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180127 is divided by 322?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-3 - (2 - 3)). Suppose 2*v - 4*v = m. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 1) + 3\/(84\/77). Suppose 4*p = -3*j - 22 - 4, -10 = 2*p. Which is the closest to -0.9? (a) i (b) 1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 157, 144, 131, 118, 105, 92?\n\"Answer: -13*r + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 61 = 3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9260927*p + 28719528 wrt p.\nAnswer: -9260927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3862 + -3862. Put 5, y, -15, 1 in decreasing order.\nAnswer: 5, 1, y, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4898, -9801, -15074, -20903, -27474, -34973?\n\"Answer: -31*i**3 + i**2 - 4689*i - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 65480 to the nearest 1000.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + 4*d**2 - 2*d**4 + d**3 - d**3 - d**4 + (-4 + 5 + 0)*(-3*d**4 - 2*d**4 + 7*d**4) - 29*d**2 + 29*d**2 - 4*d**4 + d**2 - d**2 - d**4.\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i**3 - 187*i**3 - 72*i**3.\nAnswer: -307*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108371 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, u: 10}. Give prob of sequence uuu.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -16 (b) 2\/15 (c) -34768\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1137748293, 1137748292, 1137748291, 1137748290, 1137748289, 1137748288?\nAnswer: 1137748287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6662 - 1283 + 840 + 7496)*(-2*n - n + 4*n) to the form q*n + l and give q.\nAnswer: 13715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31915871, -63831751, -95747629, -127663505, -159579379?\nAnswer: -191495251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460 + 555 = -130*s - 285 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32203*n**3 + 7056*n**3 + 4712*n**3 - 37140*n**3.\nAnswer: -57575*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 886\/20821 - 102\/188.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyybyyyyyyybyyyyy. Give prob of picking 2 b.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*a + 166 + 50. Suppose -4*x - 2*y = -1686 - 4642, -a*y - 7923 = -5*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 3561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 16 + (-24 - 7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - v)*(2*v - 4*v - 2*v)*(0 - 3 + 0).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49.0977 + -1.2922. Let x = t - -0.0945. What is x rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 25*h + 77. Let f be m(-3). Solve -6 = -4*i + f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00460422674 to 5 dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 9:03 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*w + 0*w = 114, 5*u - 4*w + 158 = 0. Let s be ((-1)\/(-2))\/((-5)\/u). Suppose -5*o = 3*k - 47, -4*k + 2*o + 86 = -s*o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3311914367?\nAnswer: 3311914367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = -10*q. Put -4\/5, q, -0.3 in ascending order.\nAnswer: q, -4\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {r: 1, f: 1, z: 1, d: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -3 + 0)\/((-10)\/10). Suppose n - y = 0, -5*q + 10*q - 33 = -3*n. Solve q = 5*h + 4*j, 3*h - j = -0*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (581 - 1164 + 40*h + 583)*(7 + 10*h - 7) in the form a*h**2 + q + z*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1523*q - 54827. Let b be w(36). Let c = 2 - -7. Sort 5, b, c.\nAnswer: b, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1800 - 25812*q + 25812*q - 2*q**2 + 870*q**3 wrt q.\nAnswer: 2610*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 31) + (-9 + 15 - -1) + 10 - -3\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17312256*p**2 - 11253435 wrt p.\nAnswer: 34624512*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 6. Let c be z(3). Suppose 4*g = 5*k - c*k + 2, 2*g + 1 = -k. Suppose g*d = -4*d + 52. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 25*f**3 - 3*f + 1. Let q(z) = -z**2 + 1. What is n(r) - q(r)?\nAnswer: 25*r**3 + r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/18)\/((-1)\/(-3)). Is (y - (-15630)\/9) + (-5)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 7*p + 2. Let n be k(-7). Let j(x) = x**2 - 3*x**2 + 6*x - 11 + 3*x**n. Let a be j(-8). Sort 3, a, -3 in increasing order.\nAnswer: -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 182*r - 217. Let n(m) = -183*m + 248. Let a(u) = -7*n(u) - 8*w(u). Let v(f) = -2*f**2 - 4*f**2 + 5*f**2. Determine v(a(c)).\nAnswer: -30625*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = -4*r + 5*k, 2*k = -5*r - 3. Let z be -3 + (r - (-32)\/20). Which is the closest to -0.3? (a) z (b) -3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -829*f - 18304. Calculate x(-22).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:21 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 798, 923, 1050, 1179, 1310, 1443, 1578?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 127. Let i(h) be the third derivative of 0 + y*h**5 - 1\/60*h**6 + 3*h**2 + 0*h**4 + 0*h - 1\/3*h**3. Differentiate i(q) wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 183.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347950 by 34795.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -89\/4, -12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 13. Let u(v) be the third derivative of -v**4\/12 + 153*v**2 - 2. Calculate y(u(j)).\nAnswer: 2*j + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 383 + -398. Let y(v) = v**2. Let a(f) = 10*f**2. Let j(u) = i*y(u) + a(u). Let k(x) = -6*x. What is k(j(q))?\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let n(c) = -3*c**2 - 2. Let w(f) = -5*f. Let o(g) = -g. Let s(i) = -6*o(i) + w(i). Calculate m*n(h) - 2*s(h).\nAnswer: 3*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 less than 316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2*h**2 - 24*h - 27. Let g be y(20). Is 57 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + o. Let p be b(1). Suppose 0 = -v - p*v. Suppose v = -3*x + 23 + 10. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 12 = -5*j - 255*h - 232*h + 489*h, 30 = 3*j + 4*h for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 + 4*a + 2. Let w be q(-1). Suppose -36*z - w = -37*z. Which is bigger: 30\/11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0*(-3)\/6)\/(-1). Suppose 0 = -4*g - 2*u + 18, 3*g + 2*u - 4 - 11 = o. Solve 0*n = g*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1404*m - 82*m + 478 + 1661 wrt m.\nAnswer: -1486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3 + (1 + 0 - 2)*(3 - 3 - 4) + 1 + 2 - 5)*(0*t**2 + t**2 + 0*t**2) to the form y*t + p*t**2 + f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/10)\/((-29)\/87) - 28\/(-5). Solve -y + 4*s - 7*s = 2, 5*s + l = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5297 - -2413. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*r + 3*r = -2*h + 6, -42*h = 79*r - 39*h + 319 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 * -309\nAnswer: 2039.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let s(k) = -k**2 + k + 2. Let o be s(-1). Let c(d) = 0 + 0 - d + o*d. Determine u(c(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(2835))\/(-1*2*sqrt(56)\/sqrt(8)).\nAnswer: -81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 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: In base 2, what is 10011 - 10001110000000101?\nAnswer: -10001101111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/21 and 19\/401140026.\nAnswer: 401140026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77272682 - 15*c - 77272682.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 124\/(-12) - 1\/(-3). Let g = 13 + m. Let b(s) = 0*s + s**2 - 2*s**2 - s**g - s. Determine b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/30 and 91\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222242.\nAnswer: 2, 111121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4713 or 0.03?\nAnswer: -4713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42898\/3 + -14150. Which is smaller: 148 or t?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, v: 16}. What is prob of picking 1 x and 1 v?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 + 90646*f - 44 - 90643*f)*(f**3 + 0*f**3 + 0*f**3).\nAnswer: 3*f**4 + 122*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 460442.\nAnswer: 138132.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6842866.2315964 - -6842872. Let n = o - -49.2315594. Let x = -55 + n. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.39 + 2.86. Let u = z - 0.17. What is the second smallest value in -2, u, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -416 - -273. Let z = g + 319. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**2. Let q(m) = 3*m. Let c(h) = 22*h. Let t(y) = c(y) - 5*q(y). Determine t(l(u)).\nAnswer: 49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12150 by -12.\nAnswer: 2025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/10)\/(-21*15\/630)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.2, 30, 3.3, -1533, 3\/7?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let a be (3\/9 - 2)*-3. Let d(r) = -a*r + 5*r + r. Calculate d(z(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361933 is divided by 1361922?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o**2 + 5*o + 96. Let m(f) = -3*f**2 - f - 24. Let l(w) = -2*a(w) - 9*m(w). What is the tens digit of l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1057911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 5 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*y - 1)*(-197 - 217 + 64) to the form d + z*y and give z.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94\/3 - 32. Put p, -3, 4 in decreasing order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/27 - 287\/297. Find the common denominator of ((-4)\/(-14))\/(24\/(-2030)) and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ba06bb + -90?\nAnswer: -ba078b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 42*t**3 + 35*t**3 - 114*t**3 + 36*t**3 + 74.\nAnswer: -t**3 - 8*t + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 + (-17 - -18) - 14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1523\/9 + -169. Let x(t) = -t**3 + 4*t**2 - 4*t + 3. Let o be x(2). What is the third smallest value in v, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -170, -269, -376?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224 is divided by 584.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 32 = -4*s, 4*s + 2*i = 6*s - 10. What is the highest common factor of s and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26*(-2)\/(-14) + (-4)\/(-14) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*3*(3 + -2). Suppose -9*b = -6*b + 21. Let s = n + b. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-24)\/30)\/((-1)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:43 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 48, 66, 84, 102?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14298, 14254, 14210, 14166, 14122?\n\"Answer: -44*c + 14342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 6*q**2 - 8*q - 3. Let r = -10 + 15. Suppose 28 = -r*b + b. Is 4 a factor of a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u - 83. What is the remainder when j(-18) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 5*s**2 + 9. Let q be b(-5). Suppose 0 = t - 4*f - q + 2, 5*f = -3*t + 4. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 45. Put o, -0.104, -0.1, -1 in descending order.\nAnswer: -0.1, -0.104, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -32, -73, -130, -203, -292?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 18 = 2*l, -7*l + 4*l - 4*s + 4 = 0. Suppose -201 + 765 = l*q + 4*u, 2*q - 276 = 4*u. Let n = -58 + q. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -5*m**3\/6 + 32*m. Let u(l) = -6*l. What is b(u(r))?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, y: 4, s: 1, k: 3, g: 3}. Give prob of sequence hh.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.6, 1\/8, 3, 2486643 in descending order.\nAnswer: 2486643, 3, 0.6, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*t - 20, -t + 0*t + 18 = 5*s. Suppose 0 = j + 2*a, 5*a = 4*a - 4. Solve -j*p + 4 = -s*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:02 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194375965 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 6*c - 6*c)*(-2*c + c + 2*c) + 4*c**3 - 4*c**3 - 2*c**4 + 2*c + c**4 - 2*c + (3*c**3 - 2*c**4 - 3*c**3)*(1 - 4 + 1) + 3*c**4 - c**4 + 0*c**4.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*b - 120, 2*r - 2*b + 0*b - 248 = 0. Suppose 430 = 11*x - 9*x. Suppose 9*d - 14*d = -x. Calculate the remainder when r is divided by d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 281 - 299, -5*v = -o - 96366. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2830+0.4\nAnswer: 2830.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (999\/42)\/37*35\/(-12).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 8*q - 34. Let f be j(11). Let n be 36\/15 + -2*1. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/4 + l**4\/8 - 6*l**2. Find v, given that n(v) = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 155, 238, 323, 410, 499?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:53 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.521 * 8.6022.\nAnswer: 13.0839462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-10))\/(240\/(-400)). What is the fifth biggest value in a, 1, -1, 55, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, 416 in decreasing order.\nAnswer: 416, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10*m = 3*y + 216, -84 = -2*m + 2*y. Calculate the remainder when 1033 is divided by m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.0464, 1.5, -4, -4\/3, -5, -10, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 72.\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 14 (b) -0.6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r. Let z(t) be the second derivative of -3*t**3\/2 - 18*t + 2. Determine u(z(f)).\nAnswer: -63*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -89, 2\/13, -2\/9, -5, 5\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**7*o*o**(-2\/5)\/o)**(-47))**(-23\/4))**(-2\/41) assuming o is positive.\nAnswer: o**(-20539\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 10 - 21 - 9*z + 4 + 10*z**2 + z. Let d(i) = i**2 - 4*i - 3. Let p be d(-2). Determine y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1081 + 1120. Solve -21*c - 3 = x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 7*t**2 + 8*t - 9. Let a be j(8). Let w = a + 22. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416412216?\nAnswer: 2, 89, 587, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5\/7 - 261*a**4\/7 + 2094*a**3 + 5964076*a**2\/7 + 118753608*a\/7 + 501311520\/7 = 0.\nAnswer: -194, -15, -6, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166749 = -0*b - 3*b. Let k = b - 19583. What is k rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, -11, -0.1, -6\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(162))\/(sqrt(441) + (sqrt(441) - (sqrt(441)*-1 - sqrt(441)))) - ((0 + (sqrt(200) + 0 - sqrt(200)))*5)**2.\nAnswer: 9*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -68*n**3 + 2*n**2 + 3*n + 2. Let h be d(-1). Suppose 240 - h = j. Suppose -10*g = -j + 31. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81738.07976 rounded to zero dps?\nAnswer: 81738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*b = -301*b - 170*b + 5195 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279096331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -502*h**2 + 437?\nAnswer: -1004*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3654, -6826, -12102, -19476, -28942, -40494, -54126, -69832?\nAnswer: -87606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(1\/24)*w**(3\/8) assuming w is positive.\nAnswer: w**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17145179 is divided by 2652?\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/x**2*x*x)\/(x\/(x\/(((x**(5\/2)\/x)\/x)\/x*x*x*x))))\/(x**1)**(-5\/2) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-194435)\/32412 - 1*-6. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -6 - 12. What is the lowest common multiple of 20 and (-6)\/8*4*(c + -7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-15) - (-8)\/3. What is the second derivative of f**4 + 0*f**4 + 5*f - 3*f + q*f**4 wrt f?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 + 2*n\/5 + 12.\nAnswer: -2*(n - 6)*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z**3 + z - 3*z)*(4 - 17 - 6)*(3*z - 4*z - 15*z).\nAnswer: 304*z**4 - 304*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 22029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Let p = -7 + 2. Let j = p + a. Which is smaller: j or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1516*i**4*x**2 - i**4*x + i**3*x + 18*i**2*x**2 + 2*i**2 - 14*x wrt i.\nAnswer: -36384*i*x**2 - 24*i*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4*(403 - 194)\/3553?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325981, 325986, 325987, 325984, 325977, 325966, 325951?\nAnswer: 325932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Let b(z) = z**2 - 6*z + 10. Let x be b(6). Let c = x + h. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 383?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7015, -15132, -23249, -31366?\n\"Answer: -8117*p + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8939 rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-8))\/((-828)\/(-552))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 62*g**2 + 4*g - 20. Is l(2) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40634844 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 204240 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = g - 18, g + 3 = -4*k - 0*k. Suppose -6*t - 15 = -g*t. Suppose -5*f - 2*b + 18 = -4*b, 5*f - b = 14. What is the greatest common factor of t and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/67, -5, 4, 2.26, -0.3?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**10\/5600 - 7*s**6\/144 - 29*s**5\/60 - 18*s**2. Let a(k) be the third derivative of c(k). Differentiate a(i) wrt i.\nAnswer: 108*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 7*t**2 - t - 3. Let w be r(-5). Let j = w + -19. Suppose -2*s + 15 = 5*g - 12, -3*s = 5*g - j. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.02 + -26.12. Let l(v) = v + 6. Let o be l(-6). Which is the nearest to o? (a) -3 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2178928560 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 102615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26343?\nAnswer: 3, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3894.789l to millilitres.\nAnswer: 3894789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/((-544)\/51)*(-1 - -3). What is the third smallest value in n, 8, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2. Let x be d(-1). Let v = x + 24. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4))**(-25) assuming x is positive.\nAnswer: x**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1280 = -4*o - 10672. Is 6\/(-15) - o\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3663 (base 11) to base 14\nAnswer: 1a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*b**2 - 7*b**2 + b**2.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Let x = 0.4 - 0.3. What is the second smallest value in x, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1664.5 and 0.4.\nAnswer: -1664.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17111 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/99727958?\nAnswer: 1\/99727958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -69*i + 107*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*h = -120*h + q + 13, 0 = 5*h - 4*q - 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83717860 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7762537 divided by 7\nAnswer: 7762537\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbbz when four letters picked without replacement from {b: 2, w: 4, z: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*b - 10*b, 4*b - 21 = -s. Suppose 6*r = b*r - 5*z + 27, -3*z + 63 = 3*r. Let i(k) = 5*k - 6. What is the remainder when r is divided by i(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.96290204 - 6.9599. Let j = 0.003 - k. Round j to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74339089 divided by -152647?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0*g**4 + 11\/60*g**5 + 0*g + 0 + 4\/3*g**3 - 3*g**2. Differentiate v(a) wrt a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + v = -1, 4*q = 57*v - 52*v + 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**2 + 11 - 5*c - 5 - 6 + c. Let f(i) = i. Determine 6*f(g) + y(g).\nAnswer: -8*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 9. Let c(f) = 2102*f**2. Determine h(c(b)).\nAnswer: -8836808*b**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3 + 1516902*t**2 + 575247919401*t = 0.\nAnswer: -758451, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -170, -340, -486, -596, -658?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985*o - 993*o = 1 + 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2259189?\nAnswer: 3, 283, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 65. Let d(z) = 12*z**3 + 1 + 2*z + 7*z**3 + q*z**2 - 21*z**3. Calculate d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 12. Let s be u(12). Let w be 3\/12 - (-260)\/(-16). Let x = 20 + w. Solve -n - n - x = s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192090?\nAnswer: 2, 3, 5, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27670 - -32217. List the prime factors of b.\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 5*k - 31748 = -32108, -2*w + 2*k - 24 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -490885.697912967 - -10265.724633267. Let p = 480620 + h. Let t = -0.0267 + p. What is t rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11118 + 6.41947.\nAnswer: -11111.58053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*d + 90*d = 291. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-16\/3)*u*u**5)\/(u**(-1\/5))**(-42) assuming u is positive.\nAnswer: u**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.02, 5, 0.15 in increasing order.\nAnswer: 0.02, 0.15, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.78 + 41.78. Let s = -40.958 + h. Let m = s + -0.04376. What is m rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46.8, 0, -0.0702?\nAnswer: -46.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 60\/16 + 3 + (2220\/48)\/37?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334*16.\nAnswer: 5344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -17227*l + 69059. What is q(4)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -16*c**2 + 3052 - 240*c + 21*c**2 - 172 = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/7)*g**(-12))\/(g\/g**(-4))**(-27))**9 assuming g is positive.\nAnswer: g**(7758\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841 is divided by 617.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17061 - -3f?\nAnswer: 170a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 3*d**2 - d - 11. Let t be o(4). Suppose 0 = -z + 3 + t. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {u: 3, n: 3, w: 1, f: 1, b: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*g + 10. Let j = 90 + -85. Let o be 4\/j - (-483)\/g. What is the highest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -564*b**2 + 13*b. Let o(s) = -2*s**2. Determine p(o(i)).\nAnswer: -2256*i**4 - 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j**2\/11 - 5666*j\/11 + 5652\/11 = 0.\nAnswer: 1, 2826\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**5\/4 + 45*l**4\/4 - 425*l**3\/4 + 435*l**2\/4 + 225*l = 0.\nAnswer: -15, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/((4*(-1)\/9*3)\/((-142)\/213)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 + m**2. Let u(t) = -8*t**5 - 14*t**4 - t**3 + t**2. Let x(r) = 2*f(r) - 2*u(r). Factor x(p).\nAnswer: 4*p**3*(p + 2)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60940119 to the power of 1\/2, to the nearest integer?\nAnswer: 7806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/317?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f65d (base 16) to base 5.\nAnswer: -4004234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 1. Let p(b) = -48*b + 5. What is p(d) - 4*u(d)?\nAnswer: -52*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3434 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 96 - 96 - 2*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2951*w + 1092. Let t be m(-6). What is the highest common factor of t and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 0. Let a(b) = -b**2 + 9*b. What is the lowest common multiple of a(8) and 30\/h*(-198)\/(-15)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13900486 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.8 - -8.6. Let h = 9\/5 + -32\/15. Which is the second biggest value? (a) h (b) w (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 - 354*j**4 - 623*j**2.\nAnswer: 60*j**2 - 8496*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 3:45 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 8) + -23 + -1 + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 56*i**2. Let v(m) = -3*m - 4*m + m + 7*m**2 + m. Let z(r) = -10*r**2 + 7*r. Let j(u) = 7*v(u) + 5*z(u). Calculate j(p(d)).\nAnswer: -3136*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249822.\nAnswer: 2, 3, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -55*g + 7629. Calculate q(144).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 10. Let k be z(14). Solve -2 = -k*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttatavwatvvttxa. What is prob of picking 1 w, 1 x, and 2 a?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658511701.\nAnswer: 41, 16061261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Let i = 155\/4 - 39. Is i at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*-11*-23*(-32)\/1656\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4268, -4244, -4204, -4148, -4076, -3988?\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7469)\/(-4) + -6 - 55\/44 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2461548801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122*g - 122*g + 2*g**2)*(3 - 4 + 2).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42402210?\nAnswer: 2, 3, 5, 83, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2810, -5311, -7552, -9533?\n\"Answer: 130*p**2 - 2891*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 - -4?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 178, -58, -1, 5 in descending order.\nAnswer: 178, 140, 5, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 40, 58, 94, 154, 244?\n\"Answer: c**3 - c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1617 - 1617 - 83*h**2 - 26*h**2. Let l(i) = 6*i**2. What is n(l(z))?\nAnswer: -3924*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 116844427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*x = -5, 0*x - 2*x = -5*b + 35. Let d(s) = s**3 - 7*s**2 + 11*s - 8. Give d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30697 - -30699. Factor 36\/11*w**4 - 6\/11*w**5 + 0 + 0*w - 72\/11*w**3 + 48\/11*w**a.\nAnswer: -6*w**2*(w - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h - 58. What is v(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.073668 nanograms to kilograms.\nAnswer: 0.000000000009073668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*y = 17, 0 = 2*k - 5*y - 37 - 10. Suppose 10*u - 6*u = -k. Let s(f) = -f**3 - 4*f**2 - 3*f - 6. What is s(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1626164?\nAnswer: 1626160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406\/(-228) - (0 + (0 - 6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -670, -1551?\nAnswer: -670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 12. Let f be m(5). Find the third derivative of -74*t + 74*t - 3*t**f + 12*t**5 wrt t.\nAnswer: 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + r**2 - r + 1. Let m(y) = 3*y**3 + 5*y**2 + 6*y + 5. Calculate -3*m(n) + 15*v(n).\nAnswer: 6*n**3 - 33*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 12. Determine j(-26).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000248 + 1001688 = 120*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/12 - 5*q**4\/12 - 13*q**2\/2 + 7*q. Let r(g) be the first derivative of m(g). Factor r(b).\nAnswer: 5*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**4 - 44*j**4 + 5*j**4 + (-3*j + 5*j + 0*j)*(35*j**3 + 21*j**3 - 13*j**3) to x + g*j**3 + p*j + m*j**4 + u*j**2 and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 0, 2, -156, -1, 9, 1 in ascending order.\nAnswer: -156, -1, 0, 1, 2, 9, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 46 = 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -14 - -16) + -3 + (6 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*v - 1)*(4 + 0 - 2)*(2 + 0 - 1 + (-1 + 0 - 2)*(-8 + 2 - 8)).\nAnswer: -258*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5321 and 1122?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:17 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -2, -141, 3202 in descending order.\nAnswer: 3202, 6, 5, -2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 + 8*l + 47. Suppose 4*j = -v + 39 - 9, -j + 3*v = -1. Let m(a) = -2*a**2 - 4*a - 24. Let t(u) = j*m(u) + 3*x(u). Is t(-12) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from fbbbyfbqbzbqbyb?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2 - 26\/(-16)). Let s = -5 - -8. Let x = -64.4 - -64. Which is the third smallest value? (a) x (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -2 (c) -6 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-16)\/72*(-35)\/140.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 + 62 - 62)*(-3*f + 0 + 0)*(21*f - 159*f + 15*f).\nAnswer: 2214*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*2)\/sqrt(6))\/(sqrt(300) + sqrt(12)) + -2 + -3.\nAnswer: -5 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - k)*(-4 + 0 + 1)*((-2 + 2 + 3)*(k + 0 + 0) - k + 2*k + 2*k + 26*k + 16*k - 25*k).\nAnswer: -138*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 24. Let f(q) = 2*q - 2*q - 2*q. Calculate p(f(k)).\nAnswer: -4*k**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1212.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - s = -6. Let z(j) = 5*j**3 - 5*j - 6. Let p(v) = -v**3 + v + 1. Let l(m) = -6*p(m) - z(m). Let x(w) = 7*w**3 - 8*w - 2. Calculate s*x(g) + 6*l(g).\nAnswer: -g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Suppose -5*z = -3*z. Suppose z = 3*m + m. Put -4, m, f in ascending order.\nAnswer: -4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/3211?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 195 = -10*w + 40. Which is the smallest value? (a) 2 (b) w (c) -9\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.12 + 0.12. Let f = 49.7 - 46.7. Let a = -13 + 27\/2. What is the closest to a in f, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, x: 1, e: 5}. Give prob of picking 1 c and 1 e.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.150311445 rounded to 3 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h + 20*h**2 - 16*h**2 - 4 - 2*h**2 + 1. Let b(v) = -6*v**3 + v**2 + v + 1. Let n be b(-1). What are the prime factors of a(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 48 = -2*x. Let d = -12 + x. Suppose k - 24 = -3*k + 3*i, d = -5*i + 20. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -730 and 0.177404?\nAnswer: -129.50492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5120 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: Factor u**4 + 5*u**3 - 17*u**2 - 21*u.\nAnswer: u*(u - 3)*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let l = 0 + 4. Suppose m - l = -o. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 - 319461*l\/2 + 159732.\nAnswer: -3*(l - 1)*(l + 106488)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 2*j**2 - j + 6. Calculate n(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -4*h**3\/3 + 64*h**2 - 2331*h + 2668. Differentiate p(w) with respect to w.\nAnswer: -8*w + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10143 divided by 3.\nAnswer: 3381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 56\/12)\/(1\/3). Suppose 0 = -2*q + p*k - 8030, k = -2*q - 4*k - 8065. What is q rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 45 = -5*h, 0 = -5*h - 0*h + 2*p + 45. Calculate the highest common divisor of h and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 6*a + 2 = 0. Suppose -5*q - 4*o - 76 = 149, 2*o = a*q + 108. Let f = -29 - q. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iie when three letters picked without replacement from oioibe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450796?\nAnswer: 2, 251, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -38*c - 114 - 336 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3*g + 7)*(103*g + 24*g + 38*g)*(-3 + 2 + 3).\nAnswer: 990*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 - c - 42. Let o be a(-6). Solve 9*u = -o*u - 36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 4 - (-5)\/((-40)\/(-66))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:54 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024932795.\nAnswer: 5, 277, 2184067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 8:33 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4*w + 2*o**4 + 14*o**3*w - 102*o*w - 2*w wrt o.\nAnswer: -24*o**2*w + 24*o**2 + 84*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f + 2. Let z be j(2). Solve -6*m + z = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0, 2\/13, 173, 0.5, -16\/7 in decreasing order.\nAnswer: 173, 0.7, 0.5, 2\/13, 0, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14850, 26779, 38686, 50559, 62386, 74155, 85854, 97471?\nAnswer: 108994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 21*c**2 + 424*c + 94. Determine p(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 50. Let h be ((-2)\/3)\/(13\/c). Factor -9*r**5 + 12*r**3 + 3*r**5 - 2*r**h - 6*r**2 - 8*r**4 + 8*r**5 + 2*r.\nAnswer: 2*r*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1\/14, 0.3, -4.\nAnswer: -4, -3\/2, -1\/14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 37362.\nAnswer: 1083498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315.1244 less than -0.4?\nAnswer: -3315.5244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2 - 4*l**2 + 9*l + 3*l**2 + 7. What is the tens digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101110100001101011111 (base 2) to base 12\nAnswer: 61633b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1485677 and 10\/89.\nAnswer: 1485677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12350 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 2 - 74*y - 5.\nAnswer: -74*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -20*k + 5862. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 - 10950*n**4 - 43767*n**3 - 54696*n**2 - 21876*n = 0. Calculate n.\nAnswer: -3646, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*m = -2*m. Let w(x) = -x**2. Determine w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16738524 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577251 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**7\/5040 - d**6\/360 - d**5\/15 - 2*d**2. Let j(m) be the third derivative of f(m). Determine j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2162 is divided by 448?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1128 + -3907. Calculate the remainder when (-3)\/(-8) - (0 + v\/56) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 18*q + 3*q as v*q + u and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -117a - 18?\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18272 by 969.\nAnswer: -18272\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1788*r + 3580*r - 1788*r - 88 to the form l*r + b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1005, -1977, -2935, -3873, -4785, -5665?\nAnswer: -6507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n**5)\/(n*n*n**1\/n)**(-4\/5) assuming n is positive.\nAnswer: n**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54021 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 3:07 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*k**3 + 212*k + k**2 - 12*k**3 - 150*k**4 - 28*k**3 wrt k?\nAnswer: -1800*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 4560\/25 - (-4)\/(-10). Suppose 2*r + 3*v = l, 0 = -5*r + 5*v + 204 + 216. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 - v - 1. Let r be m(-1). Let h be (2\/r)\/((-2)\/4). Which is the closest to 1\/2? (a) h (b) -0.2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 26 + 16 + 9 + -6?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2224 + 2226. Solve -m + 7 = 5, y*z + 4*m = 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2 + 15*s - 496 = 0?\nAnswer: -31, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 680103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/(((-49)\/(3675\/9))\/((-27)\/(-510)))?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -30. Which is the nearest to s? (a) 0.01 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 13*j**3 + 3*j**2 - j + 1. Let l(x) = -26*x**3 - 7*x**2 + 2*x - 2. Let z(y) = 2*l(y) + 5*p(y). Give z(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141023489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*d, -2*d - 4*b - 3 = b. Let g be 4\/8 - (-46)\/(-76). Let k = 7 - 7.3. What is the nearest to d in 0, k, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**3 - 315*v**2 - 2502*v + 9. Calculate t(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.010244 - 23.932756. Let s = -23.8 - k. What is s rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -3*m - q + 38, 0 = -16*m + 2*q - 66 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11602 + 24969. Does 159 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoo when three letters picked without replacement from {o: 2, h: 1, z: 2, w: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 13698.7 to the nearest ten.\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749382829 plus 11553?\nAnswer: 2749394382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = d - 2 + 3, -3*w - d = 0. Suppose c - 82 = w. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**2 - 4*c**2 - 2*c**2 - c + c**2 as g + n*c**2 + t*c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -52. Let d = -31 - w. What is the highest common factor of 91 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567355 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 - -38. Suppose -y + f + 25 = 2*f, 4*f + a = 4*y. Let s(n) = -6*n - 157. What is the remainder when y is divided by s(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**4 + 7 - 5*g**4 - 9 - g**3 + g**4 + 8*g**2 as r + u*g**3 + n*g**4 + z*g + a*g**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/10*(-2520)\/(-18333). Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b + 4. What is the remainder when 50 is divided by 5 + 9 + -2 + b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*k = -6, 5*o + 2 + 12 = 2*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85679 is divided by 560.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 4*v**2 + 9*v + 19. Calculate i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 248\nAnswer: 9\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(3 - 2)\/3. Solve 3*d = 3*u - 4 - 11, a = -2*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 60. Let h = 0.07 - -0.03. Let p = -1 - 1. Which is the nearest to h? (a) z (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0 + 13\/(-9). Let h = -0.85 + -1.1. Let u = -0.05 + h. Which is the second smallest value? (a) u (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -285, -432, -579?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 353.239 - 0.239. Let i = -353.00141 + w. What is i rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (27\/7 - 3)*(-14)\/3. Solve -f*g = -5*o - 37, -4*o - 20 = -5*g + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 5 (c) -1 (d) -1060 (e) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*j - 2*p - 6, 0 = 3*j - p - 15. Let o(z) = -3*z + 0*z - z**2 - 2*z**2 + z**3 - 1. What is o(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/12, -2\/11, -2\/15, 0.04?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6) - (-69)\/(-9). Let t = u + -15. Let l = 67 + t. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b - 109939 = -1009766. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 46*v**2. Let f(k) be the third derivative of 28*k**2 - 1\/30*k**5 + 0*k + 0*k**4 + 0*k**3 + 0. Give r(f(i)).\nAnswer: 184*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40136994 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 358, 321, 222, 31, -282, -747, -1394, -2253?\n\"Answer: -5*a**3 - a**2 + a + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 773610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bba when three letters picked without replacement from abfaffffafffbaabfba.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8 - 31. Suppose -4*r = -0*r - 3*m - 67, 40 = 5*r + 5*m. Calculate the highest common factor of r and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 + 6*p + 20. Let y be u(-4). Let b(l) = -8 - 5*l + l + 4. Determine b(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (1 + -6 + 2). Let j be (-22 + 1)*(1 + -50). Let i be (-1)\/q - j\/(-168). Which is greater: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2\/2*-14. Let k = -17 - n. Let d be k - (1 + -2 + 3). Put 0, -1, d in ascending order.\nAnswer: d, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g - 20. Suppose 2*t = g*t - 6. Suppose -j = -t*j + 4. Solve 0 = -k + 1 + j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 86 (b) -2 (c) 10 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*t**5 + 12*t**5 + 2*t**2 - 6*t**2)*(3 - 2 - 2).\nAnswer: t**5 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 5*f**2 - 6*f + 12. Is 2 a factor of c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2*a + 1. Let v be r(-8). Suppose -22 = -5*c - 232. Let y be c\/v*(1 + -15). Solve y = 4*p + 3*w + w, -w + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 785 = -8*x + k, 0 = -k - 3. Is 58 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714.9749m to micrometers.\nAnswer: 714974900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4 + 6 = 3*h, -5*f - 10 = 4*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, t: 6}. Give prob of sequence tp.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8501 + 0.1499. What is the nearest to -2\/7 in -0.08, -5, g, 0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -2\/3, 2\/9, -0.3, -62 in decreasing order.\nAnswer: 2\/9, -1\/11, -0.3, -2\/3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 404.089566 - 404.1. Round x to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(34\/(-12)))\/(53\/(1166\/1100))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**36*z**(-37))**(14\/11) assuming z is positive.\nAnswer: z**(-1008\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2185, 2177, 2167, 2155, 2141, 2125, 2107?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 7*v + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggmm when four letters picked without replacement from {m: 8, g: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 5*f + 16 = 9*u, 0 = -u + f + 11. Calculate the remainder when 647 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b1c - -4?\nAnswer: 4b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + u + (-u + 0 + 0)*(-3 + 3 + 2) - 3*u - u + 3*u - 5*u + u - 4*u in the form r*u + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m + 418 = -63*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 179 + 53 = 0. Which is smaller: k or 19?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 791 - 4 = 0. Let j = z - -287. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = t, -1673*g = -1671*g + t. Solve g = u - 2*o, 5*u - 3*o + o = 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3351185, 3351186, 3351189, 3351194, 3351201, 3351210, 3351221?\nAnswer: 3351234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*t + 11855 - 11851, 4*t + 6 = 3*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-772)\/2509 + (-166)\/52)*(-3)\/(-77)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -561929.245 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, -5, -1\/480, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 681.665ml?\nAnswer: 0.681665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.5 + 0.5. Let w = p + 9.7. Let t = -0.08 - -3.08. Which is the third smallest value? (a) -4\/5 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/26 (b) 2\/15 (c) 1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 35956.\nAnswer: -1\/17978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/((1\/(-1))\/2). Solve j - c*j = -5*w - 16, 4*j - 3*w - 18 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32200 and 3640.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17656*g + 74266 wrt g.\nAnswer: 17656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*w - 5 = -40, 16 = -2*t + 13*w - 57 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -3*w**6 + 6024*w**5\/5 - 167330*w**4 + 8129408*w**3 + 16708608*w**2 + 11239424*w + 151. Find u, given that l(u) = 0.\nAnswer: -2\/3, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33454903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 26 = -2*w, 34*w + 5*u = 35*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -1.04. Let f = 3.81 + 0.19. Which is the second smallest value? (a) f (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5967*f**2 - 8661*f**2 + 12437*f**2 + 20325*f**2.\nAnswer: 30068*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.2 - 0.2. Let o = -4 - -6. Let z = -1.8 + o. Which is the closest to -1? (a) z (b) s (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k**2 - 31*k - 8. What is a(1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 + 5*v**3 - 2*v**3 + (-3 + 2*v + 3)*(v - v**2 - v) + 131*v - 131*v + 8*v**3 in the form c*v**2 + g*v + o + n*v**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 297\/81*(-7488)\/(-429).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:27 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 + 8. Let f(r) = 2*r**2 + 13 - 5 - 8. Calculate g(f(x)).\nAnswer: -16*x**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2*l**2 - 51*l - 23. Let t be c(-15). Calculate the greatest common divisor of 63 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 5*z - 4*h - 9, -5*z = -2*h + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 4. Let q(s) = 2*s**3 + 3*s**2 - s. Let v be q(-3). Let x be (2\/6)\/((-2)\/v). Let p be t(x). Solve p*l - 5*j - 19 = 4*l, 2*j + 10 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45573751 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppkk when four letters picked without replacement from {p: 7, k: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*c + 30*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*2\/2*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnininnnn. Give prob of sequence nn.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -214, 5, -4 in descending order.\nAnswer: 7, 5, -4, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1056\/35 - 153\/5. Let o = 0.2 + 0.3. Let f = 0 - o. What is the biggest value in a, -1, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-130) - ((-2210)\/(-325) + 28\/(-4))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148236.\nAnswer: 2, 3, 11, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-32)\/20) - 1\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Let m(n) = 4*n**3 - n**2 - n - 4. Let a be m(s). Round a to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(1377)) + 4)**2.\nAnswer: -378*sqrt(17) + 12442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -3, 1 in ascending order.\nAnswer: -3, 1, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 5 - (-12 + -9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 1104801, 2\/11.\nAnswer: 2\/11, 0.28, 1104801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to 0.929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 57*g**2 - 14*g - 17. Calculate f(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 24 = 3*g + g, -18 = -d - 5*g. Suppose -3*f - 5*m + 0 + 34 = 0, -5*f + 98 = -2*m. Let x be d\/(-4)*(f - -4). Solve -x = 3*z + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6587 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2\/3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/9)\/(c**17*c*c) assuming c is positive.\nAnswer: c**(-167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -150*z + 127. Calculate t(3).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 + g**3\/3 - 3*g**2\/2 - g - 2. Let y be b(-2). Let m be -2 + (-8)\/(-2) - 2. Solve -q + 0 - y = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37856*x - 3129 = -37707*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z**2 + 4*z + 4. Let p(h) = -h**2 - h - 1. Let y be 10 + -8 + (-2)\/2. Let m(j) = y*a(j) + 4*p(j). Let c(b) = 3*b**2. What is m(c(q))?\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*g + 76 = n, -3*g = -12. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 17560731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 12:04 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 28 - (0 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 2\/3, 4, 364, 754, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Suppose -4*t - 4 = x*o, 0 = -t - 4*o + 2*o - 7. Calculate the least common multiple of t and 10 + 4*2\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 7*u**2 + 7*u - 41. Let t be g(6). Which is greater: t or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 10*t + 285. What are the prime factors of b(0)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5555865 is divided by 5555835.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(13) + 1 + 3 + -6*sqrt(13)*-2 + 2 + sqrt(832))**2.\nAnswer: 168*sqrt(13) + 2584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1792932 and 116540580?\nAnswer: 116540580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 108522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-3 + 3 - c**2) - 3*c**2 + 0*c**2 + c**2 + (-5 + 4 + 3)*(c**2 - c**2 - 3*c**2).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = 8*h + 21*y - 38, 14*h - 51 = 2*h + 4*y - 5*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 608848297 to the nearest integer?\nAnswer: 24675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.4, 3161\/815, 4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 54.3.\nAnswer: 50.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1 - -1)\/2)\/(-2). Let c be -18*(-1)\/(12\/8). Suppose b = 3*l - c - 84. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0\/(f*f*f\/f**(-6\/17)*f) assuming f is positive.\nAnswer: f**(-74\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 1050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 482893180 and 32.3.\nAnswer: 482893212.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49143, -49140, -49137, -49134, -49131, -49128?\n\"Answer: 3*h - 49146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164684 is divided by 300.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -755 + 419. Let r = g - -981. What is the highest common factor of r and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4074645?\nAnswer: 3, 5, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-67 - 71 + 135 - 45*h).\nAnswer: -45*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188381*j = -188418*j + 1369 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, -3\/7, 0.04?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + 24. Suppose 0 = -0*n - 2*n - 6, p = 4*w + n. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/19 - 26*u\/19 - 28\/19.\nAnswer: 2*(u - 14)*(u + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((5 + (sqrt(684) - (sqrt(684) + sqrt(684)*-2)) - sqrt(684))**2 + 1*sqrt(684)*4 - 2*(0 + sqrt(684) + 1)) + 0).\nAnswer: -4242 - 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 138140241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d - 1. Let n be b(1). Suppose 176 = -v + 3*v. What is the highest common divisor of n and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7066643?\nAnswer: 7066643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*d - d + 543, -3*d + 1107 = -2*k. Let b = k + 555. Let g(c) = -c + 4. Give g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26364 and 264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 11:59 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 24 = 3*g - 3, -8*g - 5*a - 1 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1448.0088 months to years.\nAnswer: 120.6674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 168961289 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19592.\nAnswer: 2, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12642, 3, -9, -2, -1.\nAnswer: -9, -2, -1, 3, 12642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + r**2 + 36. Calculate the remainder when 143 is divided by t(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.2253 hours to microseconds.\nAnswer: 238411080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*y = 255, 3*y = -w + y - 63. Let a = 17 - w. Let r = 10 + 4. Calculate the greatest common factor of r and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -26. Suppose a = 5*y + 10, 58 = 3*g + 5*y + 2. Calculate the remainder when 1\/((-2)\/(-4)) + 63 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011196505 to 6 dps.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8859974410.\nAnswer: 2, 5, 7, 1499, 84437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1572073022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 687*g*x**5 - 73*g*x**2 - 5*g + 3*x**5 - 3*x**3 + 3*x wrt x?\nAnswer: 41220*g*x**2 + 180*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -16 (b) 86 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888769804?\nAnswer: 2, 13, 2729, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*s = 7 - 17, 0 = -3*s - 3. Let c be (4*3 - x) + -3. Suppose 87 = 3*r + 2*z, 5*r - z - 122 = c. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4114*c + 658*c - 3383*c = -167419 + 639310 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = m. Let f(n) = -8*n**3 + n**2 - 6*n. Let v(h) = 7*h**3 - h**2 + 5*h. Let z be 6 + (1 - -2 - 4). Determine m*v(j) + z*f(j).\nAnswer: 2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 6*z**2 + 25*z + 140. Let o be a(-6). Let s(g) = 0*g**3 - 2*g - 15*g + 2 - 11*g**2 - g**3. Does 12 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88*225\/2400*(-8)\/(-3)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*o = z - 48, 3*o + 12 = 0. Let b = z + 56. What is the tens digit of ((-18)\/(-4))\/((-4)\/(-6 - b))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*u**4 - 8*u wrt u?\nAnswer: 1872*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Suppose -2*i - 2*i - 5*g - 75 = 0, -4*g = -5*i - 63. Let x = i + 10. What is the smallest value in 1, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 843 = -878 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285193466 to the power of 1\/2, to the nearest integer?\nAnswer: 35850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Suppose -s = 2 + 3. Let w be v(s). Let u be w*(54 - (1 + 1)). Round u to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 13*j - 7. Let l(i) = 2*i**2 - 25*i - 13. Let g(w) = 3*l(w) - 5*r(w). Let v be g(-4). What are the prime factors of 184\/13 + (-8)\/v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 5:01 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069110328 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -4*k**5\/5 + k**4 + 8*k**3 - 8*k**2 - 32*k + 1. Factor r(n).\nAnswer: -4*(n - 2)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 3. Let i be q(-9). Suppose -2*y = 5*j - 2*j + 22, 2*j = 2*y + 12. Let s = y - i. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 130*g - 138*g + 24. Let m(r) be the third derivative of 1\/5*r**6 + 0*r**4 + 0*r**g + 0 - 18*r**2 + 3\/5*r**5 + 2\/105*r**7 + 0*r. Factor m(b).\nAnswer: 4*b**2*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*n - n + 134 - 23, 38*a = n - 65 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2220 is divided by 1066.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17279997 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 14. Let j(c) = c - 1. Let l(y) = 2*y - 1. Calculate v*j(u) - l(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**7\/35 - z**3\/3 - 7*z**2 - 4. Let v(t) be the second derivative of m(t). Differentiate v(o) wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -100000111110111000?\nAnswer: 100000111110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3 - 184\/(-69).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, and 1 f when three letters picked without replacement from {j: 2, f: 4, c: 1, v: 8, u: 4}?\nAnswer: 128\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3565?\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((-1 + sqrt(13)*-2 - sqrt(13)) + sqrt(117) + 3)*6.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33150026?\nAnswer: 2, 7, 13, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -20 + 4 + -19 + 5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*sqrt(936)*2)\/((sqrt(220)\/(sqrt(10) - (sqrt(40)\/sqrt(4) - sqrt(10))))\/sqrt(11))*-3.\nAnswer: 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izukvqquz. Give prob of picking 1 u, 1 z, and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 19*d - 3. Let s be t(-19). Let a(u) be the first derivative of -u**4\/4 + 5*u**2\/2 + 4*u - 7. Give a(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*f**3 + 200*f**3 + 35*f**2 - 558*f**3 + 192*f**3 + f.\nAnswer: 18*f**3 + 35*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 288*k*s*z**2 + 2*k*s*z + 2*k*s - 3*k*z**2 - 6*s + 393*z**2 - 5*z wrt s?\nAnswer: 288*k*z**2 + 2*k*z + 2*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 3*a**2 + 2871222*a + 2 - 5*a**2 - 2871233*a + 2*a**4 to the form n*a**4 + d*a**3 + g*a + o + f*a**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -40653143 take away 1?\nAnswer: -40653144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11963643829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5700941800124 take away 6?\nAnswer: 5700941800118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 28 = 92 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 275 by 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8572, 8573, 8574, 8575?\n\"Answer: o + 8571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 935308 smaller than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12159 at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6*(-6)\/16. Suppose -2*i = -5*i - 6. Let o be ((-3)\/(-15))\/(2\/(-5))*0. What is the nearest to b in -1\/4, o, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19801136431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 - (-92)\/(-416).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 1. Let f(k) = k**3 - 10*k**2 - 7*k - 8. Let i be f(11). Let l = 35 - i. Give n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 43 + 0 = r, 480*w - 344 = -r + 472*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -14622.\nAnswer: 29244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-18)\/96)*14\/(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.5 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14480572 by 1.\nAnswer: 14480572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-105) - 134\/(-938). Let w(c) be the third derivative of -3\/8*c**4 - 5*c**2 + 0 + 0*c**3 + 0*c + h*c**5. Find the second derivative of w(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80690*c**2*y - 2*c*y - 3786*c + 2*y wrt c.\nAnswer: 161380*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + 1014003?\nAnswer: 1014123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1963 + 1963.00002824. Round i to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630683399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310188?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 6*v + 14*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v + 96. Let m be a(-3). Suppose -4*p = 9*p + m. Which is smaller: p or 1.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120349*g**5 - 29*g**4 + g**3 - 2*g**2 + 2*g + 1539065 wrt g?\nAnswer: -7220940*g**2 - 696*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 737, 1765, 3059, 4535, 6109, 7697, 9215?\nAnswer: 10579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1220)\/427*(-21)\/54.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*z + 44, 3*p = 5*p - z - 29. Suppose -2*j + p = j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smmi when four letters picked without replacement from {m: 6, i: 3, o: 3, q: 6, s: 2}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -169, 2\/5, 1, -15?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1036.2 - 1108.2. Let z = -0.1 - 0.1. What is the second biggest value in v, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16 = 3*c - 2, -3*d = -15. Let m(o) = 2*o**3 - 5*o + 1. Let g(r) = 3*r**3 - r**2 - 6*r + 2. Let f(q) = -3*g(q) + 4*m(q). Determine f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*b = 6, -b = 4*f - 2*b - 22. Suppose u + 157 = f*j - 2*j, 2*j - 2*u = 98. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 23 = -1. Let l(q) = -8*q**3 + q**2 + q - 6. List the prime factors of l(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 20*o + 13. Let s be (-5)\/(25\/6)*70\/(-4). Let v be j(s). Suppose -440 = 2*d + v. Round d to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, 1 x, and 1 l when four letters picked without replacement from xbllxnj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.0000031 + 24. What is x rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484512 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**3 - 10*u**4 + 5*u**5 + 14*u**2 - 35*u + 10 + 5*u**2 + 12*u**2 + 9*u**2.\nAnswer: 5*(u - 1)**4*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 6, u: 2, f: 1}. Give prob of picking 3 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*4*(4 + -1 + sqrt(11)))**2.\nAnswer: 1568*sqrt(11) + 5217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y + 1)*(-y + 5*y - 3*y) + 176*y**2 - 169*y + 169*y - y + 4 + y**2 - 4 - 3*y**2 - 3*y**2 + y**2.\nAnswer: 171*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -239968, -239993, -240022, -240055, -240092, -240133?\n\"Answer: -2*d**2 - 19*d - 239947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 7418 + 5*f**2 - 14829 - 7*f + 7411.\nAnswer: f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311920, -623832, -935744, -1247656?\nAnswer: -1559568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/22 and 77\/4876?\nAnswer: 53636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.6379 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87168 and 5856.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 4358121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 268*z**6\/3 - 2*z**3\/3 - 305*z + 440. What is the third derivative of m(u) wrt u?\nAnswer: 32160*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415807?\nAnswer: 7, 191, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858942673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**5 + 16*z**4 - 16*z**4)*(-1 + 6 + 2) + z**3 - 4*z**3 - 2*z**5 + z**3.\nAnswer: 47*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021458 rounded to 7 dps?\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - c + 28. Determine u(-12).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 8 + 12 + 14 + 117*k.\nAnswer: 117*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 30. Let p be b(-5). Solve p*x = 4*i - 30, 30 = 3*x + 5*i + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from crccrcccrcr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*t - 151*d**2*t + 30*d**2 + 461*d*t - 20*d wrt d.\nAnswer: -18*d*t - 302*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w + 34 = -65*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 - (8 + -16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*f + 4993 = -7512 + 1473 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161.30286 seconds to days.\nAnswer: 0.00186693125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*p - 4*z, 3*z + 5 = -p - 2. Suppose 0 = -5*f - 2*c + 144477, -p*f - 13142 = -c - 157616. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72532*i**3 - 11453*i**2 + i wrt i.\nAnswer: -435192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 672\/2 + (-1 - 1). Suppose -3*f + 5 = -1. Suppose -f*w - 5*l = -251, -2*w - w + l = -a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2 + t**2 - 2 + t + 1. Let x(u) = -u**2 - 6*u - 13*u**2 + u**2 - 7. Let g(v) = 6*k(v) + x(v). Give g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/4 - (-2170)\/(-372))\/((-2)\/(-45))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 1398*c**2 + 4215*c - 2814.\nAnswer: -3*(c - 2)*(c - 1)*(c + 469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -3263, -1, -3, 4, -5.\nAnswer: -3263, -5, -3, -1, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*z = -55*z + 97*z - 3780 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7318 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -171587.4 to the nearest 100.\nAnswer: -171600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 - (-273)\/84?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -2819, -7544, -14491, -23666, -35075, -48724, -64619?\nAnswer: -82766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 460\/(-2760)*12\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 18 (c) 52\/15 (d) 2\/15 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 6083\/237 - (-10)\/(-6).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p - 34*p + 25*p + 8 as v*p + s and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/22 - 165\/1089)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -658180 by 131.\nAnswer: -658180\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8652 + -7681. What is the remainder when w is divided by 152?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/32*56\/(-42)*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -424 < -426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/30 - k**4\/3 + 7*k**3\/6 - k**2. Let z be w(3). What is the hundreds digit of ((-145 - -3)\/z)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = 3*y + 2, -r = 4*y - 22. Let n(b) = 2*b - 7. Determine n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/86 and 51\/86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**5 + z**3. Let i(d) = -10*d**5 + 4*d**3 + 7*d. Let y(p) = 4*a(p) - i(p). Find the second derivative of y(l) wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - (5 - 8) - 3. Let p be g + -5 + (9 - 1). What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 919950 - 643433. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 90*d**2 - 92*d.\nAnswer: 2*d*(d - 1)*(d + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010 + -2?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.14 (c) 2\/9 (d) -9 (e) -5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1218160250.\nAnswer: 2, 5, 37, 79, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 11 = -0*i + 4*i, -2*g + 3*i = 21. Sort 0.1, -2\/5, 2, g.\nAnswer: g, -2\/5, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10940 or 87515\/8?\nAnswer: 10940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = x - 178 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 - 1.32. Put 0.1, x, -0.04, -0.3 in decreasing order.\nAnswer: 0.1, -0.04, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 125 - 939 = 0. Let c = -52 - -113. Solve u*o + 10 = c*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a467 (base 13) to base 12.\nAnswer: 111a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13136?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-36)*(-9)\/12*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6052, -6037, -6022, -6007, -5992, -5977?\n\"Answer: 15*c - 6067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 o when three letters picked without replacement from {d: 3, o: 3, y: 1, f: 7, s: 3, u: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 254400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16599 = 78011*v - 77508*v for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -28*i - 45 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163141056.\nAnswer: 2, 3, 13, 21787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -807*b + 26. Give r(-1).\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80 + 211 + 349)*((0*r + 2*r - 3*r)*(-3 + 2 + 0) + 5*r - 8 + 8) to the form m + b*r and give b.\nAnswer: 2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -8. Factor 2 + 2*v**2 - 19*v**3 + 21*v**3 + 3*v**2 + 2*v**2 + p*v.\nAnswer: (v + 1)*(v + 2)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3085086, 0.1, 2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/480 - c**5\/240 - c**4\/48 - 25*c**2 - 6*c. Suppose h(i) = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10.7 and -4\/153 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*l**2 - 31*l**2 - 132*l**2 - 84*l**2.\nAnswer: -49*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*r + 15*r + 73*r**3 + 11*r)*(2 - 2 - 2) to y*r**3 + g*r + x*r**2 + w and give y.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 83?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 1, i: 1, m: 1, x: 1, s: 2}. Give prob of sequence mifs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, 1 r, and 1 c when four letters picked without replacement from qdtdccqrtrkqtdc.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/507130 and -21\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -9883 and 68692 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Suppose -n = -4*x + 1 + 3, 0 = -2*x + n. Suppose -21*r = -22*r + x. Let b(y) = y**2 - 2*y**2 - 12*y**r. Give b(t(m)).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 9*c**2 + 7*c + 10. Let s be p(8). Suppose -n - 3*n + 108 = 0. Suppose n = 3*v + s*f - 0*f, f + 32 = 5*v. Solve -2*z + v*z - 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from ddsnosnnnnsnnooknsd.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 206, 688, 1478, 2576?\n\"Answer: 154*h**2 + 20*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -16947.53\nAnswer: -16952.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(24 - (-5 + 3)). Let a be 11\/(q\/(-8) - 3). Calculate the greatest common divisor of a and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x + 2*x + (4*x - 2*x - x)*(-4 + 0 + 3) - 5*x + 4*x + 0*x + 0*x + 3*x - 2*x + 4*x - x - 5*x + 5*x - x - 3*x)*(-16*x - 13*x - 40*x).\nAnswer: 69*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3541.30523 rounded to the nearest 10?\nAnswer: -3540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 227 and 116224?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 232 = -5*o, -150 = -3*n + 3182*o - 3185*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -r + 8, 5*r - 14 = -z - 4. Is r\/(-9) - 68\/(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 208*q - 13*q**2 - 208*q.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -206. Is ((-9)\/o)\/(7330\/7325 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3877029 is divided by 470.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97150 = -10*d + 777420. Suppose -12*w - 14137 = -d. Suppose 350 = 4*l + 4*h - w, 5*l - h = 8093. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 235513 + 795381 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -3*s, -5*s + 7 = c - s. Suppose 2*l + 7 = c*y + l, -20 = 5*l. Suppose -3 = -2*r + y. Solve 4*v = -5*d + 24 + 16, 0 = -2*d + r*v - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9656593 and 9176.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 589414 divided by -42101.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272\/1001 + 2\/143. Let i(f) = 2*f + 17. Let g be i(-5). Suppose 3*r - 2*y = -4*y - g, 0 = -2*r + y. Which is the closest to q? (a) -0.1 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7506648 divided by -552?\nAnswer: -13599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/5 + 336*u**2\/5 - 2204*u\/5 + 3696\/5.\nAnswer: -4*(u - 77)*(u - 4)*(u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 171 = 85. Suppose -4*b = -5*s + 407 - 22, -5*b + 2*s = 460. Let v = -50 - b. Calculate the highest common divisor of v and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/9*-6*(-6)\/(-240)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g = -r - 272, 25*g = 2*r + 21*g + 40 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 2.2982.\nAnswer: 0.045964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 55325325 (base 7) to base 4\nAnswer: 102022312320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -126*z + 10. Let t be b(-5). Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 + -697 + (-4 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 8. Let x be (5 + -3)\/1 + 1. List the prime factors of r(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 9:43 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03921 rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 830389 - 450413 + 1094029. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: d392 (base 14) to base 4\nAnswer: 20320210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(539))**2*4 + 3)*-6*2.\nAnswer: -1655844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3303853436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k + 16*k - k**2 + 3*k**2 + 5*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 8*f + 8*f. Let u(r) be the first derivative of -r**3\/2 - 2*r - 2. Let z(b) be the first derivative of u(b). Give q(z(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3421 or 2?\nAnswer: 0.3421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(24)\/sqrt(2)))**2 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvy when four letters picked without replacement from vvvvyvvyvvy?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 1, x: 3, r: 4, g: 1}. Give prob of sequence er.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0555, -3, -4, 5, 6\/127?\nAnswer: 0.0555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -430*k**3 + 1 - k**2 + 217*k**3 + 221*k**3 as o*k**3 + a*k + q*k**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.13, -3\/2, -22.\nAnswer: -22, -3\/2, -0.13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 458, 1656, 2854, 4052, 5250?\n\"Answer: 1198*y - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:17 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwdukmw. Give prob of sequence wmdu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 14 = 2*m + 2*i, 0 = 5*m + 6*i - 68. Suppose -a = -0*a - 2. Solve -a = m*h - 9*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -200, 150, 4, 2, 3 in descending order.\nAnswer: 150, 5, 4, 3, 2, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-672) + 3627\/(-19656)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11\/3, 0.01, 0.2, 3, 2\/19, 5, 920?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371655 and 10314?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-132)*(-43)\/((-5160)\/96)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*m**4 + 93*m**3 - 360*m**2 + 369*m - 120.\nAnswer: 3*(m - 1)**2*(m + 8)*(6*m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142966 is divided by 645.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 90*s + 7. Let q(m) = 18*m**2 - 462*m + 36. Calculate 11*b(l) - 2*q(l).\nAnswer: -3*l**2 - 66*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + -4.6. Let n = -4.955 - a. What is n rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(117\/14469*53)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-488)\/282)\/(4\/(-14)). Let q = -34\/47 + y. Factor -q*p**2 + 8\/3*p - 1\/3.\nAnswer: -(4*p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 11) in base 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -5) - 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34344982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b = 97*b - 58*b - 35*b - 462 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 20*z + 46. Let g be b(21). Suppose 0 = 5*p + g, -v + 1 = p - 3. Suppose 4*c = -v*c - 657800. Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14714, -29441, -44178, -58931, -73706, -88509?\nAnswer: -103346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 110?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - 5) - -6 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y - 3*q - 219, -q + 165 = 4*y. Let s = 56 + -28. What is the greatest common divisor of y and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3239.6 * -0.094.\nAnswer: 304.5224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -0*v - 4*i - 12, 5*v - i + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zwlzrzwlllllzvlz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 38.91.\nAnswer: -116.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -2. Let u = 0.6 - 0.5. Let x be (-4 - -1)*(2 + -1). Which is the smallest value? (a) x (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*-22*34\/(-204).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3369379*a*b**5 + 2*a*b**2 - a*b - 12*a + 7024*b**2 - 2 wrt b.\nAnswer: 202162740*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 1 - 1 + (4 - 4 + 2)*(-3 + 3 + 2*g) + (0*g + 2*g - 3*g)*(7 + 0 - 6) + 0*g + 2*g + 0*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310230 + -11?\nAnswer: -310301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzt when three letters picked without replacement from zttqtzzjuzzqqt.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-25))\/((-11*(-26)\/(-2002))\/((-75)\/6))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + b + 1. Let p be j(2). Let c(w) = -4*w - 1. Let s be c(p). Solve -20 = -s*f - f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55352.6 to the nearest one hundred.\nAnswer: -55400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q**2 - q - 1. Let k(w) = 7*w**3 - 3*w**2 + 6*w + 2. Let c(r) = -6*i(r) - k(r). Let y be c(9). Suppose -127 = y*d - 5*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1836*p + 3. Let g(k) = 918*k - 1. Let x(d) = 5*g(d) + 2*o(d). Suppose -3*f - 2 = z, 5*z = 73*f - 72*f - 26. Is x(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*a**2 + 9*a*f**2 + 334*f**2 wrt a?\nAnswer: 38*a + 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.1, -4, -1\/2, 4 in decreasing order.\nAnswer: 4, 2\/3, 0.1, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332666166.\nAnswer: 2, 3, 7, 17, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15ea (base 15) to base 16.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/20*-14*10*18\/5355?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -83*y**4\/24 + y**3\/3 + 6*y**2. Suppose x = -0 - 3. Is p(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 35. Let m = 8 - 15. Let k be s(m). Calculate the greatest common divisor of k and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -20*o**2 + 898*o - 3405. Let t(k) = 6*k**2 - 298*k + 1134. Let x(q) = -2*s(q) - 7*t(q). Let x(r) = 0. Calculate r.\nAnswer: 4, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-957 + 2188 - 279)*(y + y - y) to o*y + b and give o.\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 - 190*u + 518. What is q(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17846*1543.\nAnswer: 275.36378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 - 54. Differentiate -3 - u*i**3 - 13 - 1 wrt i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + 12 + -1 + -2 + 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23717.379 - -23705. Round u to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -21. Let d be (-10 + 3)*(-8)\/k. Solve -7*o = -3*o + d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4686 - 1361 = 5*s. Calculate the common denominator of -38 and s\/(-150) - 2\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68517648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 84*i**2 + 5*i + 219. Give r(-42).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - 3.12. Let i = r - -15.22. Let o be (-5)\/((-10)\/(-4)) + -4 + 1. Which is the third smallest value? (a) o (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let y(v) = 4 + 2 - 16 + 15 + 0 + 924*v. Calculate y(b(d)).\nAnswer: 1848*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327184 not equal to 6327182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 10*f**2 + 5*f + 10. Let y(t) = -5*t**3 - 21*t**2 + 11*t + 20. Let k(n) = -7*b(n) + 3*y(n). Suppose 435 = 12*m - 134*m + 1289. Give k(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -39*a**3 - a**2 - 8*a - 6. Let x be i(-1). Suppose 82 = 5*h + 4*c, -2*h + 3*c = c - x. What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 521826\nAnswer: -19307562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2714 * 16680.\nAnswer: -45269520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = -0*o - 2*r, o + 3 = -3*r. Suppose -18 = -5*y + z - o, y - 2*z - 9 = 0. Are 3 and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-22) - 124\/(-44). Suppose -2*m = -5*c - 4 - 0, 5*c - r*m = -1. Let d be (-4 - -4)*c\/4. Let f(w) = -w**2 - w + 8. Determine f(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -6, 3, 452, -35, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4080 and 612?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 4. Let r be f(7). Suppose -r + 10 = 3*t - 5*m, t + m - 13 = 0. Suppose 0 = -5*u - w + 154, -u + w = -23 - t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msmllswsmsslm. What is prob of picking 1 w, 1 m, 1 l, and 1 s?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 45267487?\nAnswer: 226337435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0 + 4*u**3 - 3\/2*u**4 - 4*u**2 - 3*u. Factor f(q).\nAnswer: -2*(3*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/216 and (88\/(-3696))\/((-24)\/(-2212))?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -74*a**2\/19 - 41818*a\/19 - 2012160\/19 = 0.\nAnswer: -512, -1965\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = 4. Let q be -5 + 10 - 3\/(-2 - -5). Solve q*c + f = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(39) + (1*sqrt(39) - sqrt(39)))\/sqrt(3))**2.\nAnswer: 2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*z - 15, 5*v + 3*v - 10*v - 53 = -5*z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**0*x**19*x)\/((x\/(x*x\/(x*x*x*(x\/x**(-20))\/x)))\/x*x**(7\/5)*x))**11 assuming x is positive.\nAnswer: x**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 4*k**3 + 2*k**2)*(2*k**2 + 4*k**2 + k**2) + (2 + k - k**3 - k - 4*k)*(3*k**2 - 8 + 8).\nAnswer: 25*k**5 - 12*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 13*a - 23. Give m(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209551 is divided by 236?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 31. Let l = -26 - g. List the prime factors of l\/3*(-675)\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x + 14. Let v(h) be the first derivative of 5*h**2\/2 - 7*h - 211. Give 6*i(c) + 11*v(c).\nAnswer: c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4 + 7*g - g**2 - 1 + 0*g. Suppose 0 = -y + 5 - 0. What is r(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.158 and 2.\nAnswer: -0.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (9 + (2 - (3 - 0)))) + (-12 - 5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 114 - 94 = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*d - 149*d + 112 = 0. Let c(l) = 4*l - 26. Let b be c(d). Solve b - 5 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -19. Suppose 0 = v*m - 6*m - 2. Sort 5, m, -4 in increasing order.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = -40498*n + 40537*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96 and -52.\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -109, -111, -115, -121, -129, -139?\n\"Answer: -r**2 + r - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -803\/1010 + -1\/202. Let g = 14 - 15. Let d = g - -6. What is the smallest value in -2, d, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*g = -7*g + 9, -8 = -4*a - 3*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -203*k + 716*k + 1026 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 6386653?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 1 + -833 + 1. Let f = t - -841. Put -5, f, 12 in descending order.\nAnswer: 12, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5 + 1 = 4*t, 5*t + 14 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 557464*d**3 + 190*d**2 + d + 657?\nAnswer: 3344784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 4, -5, 0.02726, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l - 75. Calculate z(11).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7618 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 94. Suppose -2*c = -6*c - j. Let a = -8 - c. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from {v: 2, p: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 8 - 0. Suppose 1 = -q*l + 5. Is 2 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 4*g**2 + 6*g + 4. What is x(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/800)\/(4\/(-110))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 + 14*s - 6. Let r(n) = -2*n**2 - 5*n + 4*n**2 - n**3 + 2 - 2*n**2. Give -11*r(h) - 4*z(h).\nAnswer: -h**3 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccc. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22230113223 + -113?\nAnswer: 22230113110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, k: 14}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Let w(z) = -z + 8. Let u be w(5). Factor o*c**2 + u*c**4 - 9*c**2 + 6 - 3.\nAnswer: 3*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(3\/24*6*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 37 = -2*h, 3*o + 0*o + 5*h + 155 = 0. Let q be 2950\/(-9) + 10\/o. Let a = -121 - q. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*393\/(-742508)*109\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -58, -85, -106, -121, -130, -133?\n\"Answer: 3*r**2 - 42*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - -380. Calculate the highest common factor of o and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.87 + -12.87. Sort -99, y, -2\/21 in decreasing order.\nAnswer: -2\/21, y, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791693 is divided by 34421?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1986 = -5*k, k + 0*k - 400 = -f. Let b be -239 + (0 + -1)\/(-1). Let u = b + k. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 6*z**2 + 3*z + 6. Let x be ((-6)\/4)\/((-1)\/4). Let d be v(x). Calculate the highest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/120*-20)\/(56\/(-2100))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -44391, 6, -3 in ascending order.\nAnswer: -44391, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 196?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112002 (base 3) to base 4.\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, 1 j, and 1 e when four letters picked without replacement from {k: 1, j: 1, e: 1, g: 2, z: 1, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1367020676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 32132 (base 10) to base 12\nAnswer: 16718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 7*s**2 + 5*s + 4. Let t = 2 + -2. Let x be (-8 + t)*(-3)\/(-4). Is i(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 + -116. Solve -4*t + 5*h + q = 9, 25 = 5*t + 2*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3660 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 184620 = 5*s + 22821, -4*g + 129452 = 4*s. Calculate the greatest common divisor of s and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/2 - 16) + 3\/(-3). Let q = 20 + p. Suppose q*n = -0*n + 24. Calculate the lowest common multiple of n and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -2. Let u = -2 - o. Solve -6*c = -u*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (1 - 4))*1. Solve m = 5*i + 4*y + 30, i + 2*y = -12 - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*z + 18*z + 1212 - 82*z - 28*z - 1191 to the form c*z + b and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 1 + 0)*(-2*y + 0*y - 2*y) + 2 + 2*y - 2)*(y + y - 3*y) to z*y + i*y**2 + a and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/6) - 0. Find the third derivative of 3*s**2 + s**f - 2*s**2 + 2*s**4 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t + 20 = 0. Let w(n) = -4*n**2 + 18 + 41 - 7*n - 59. Let r(f) = -f**2 - 2*f. Let m(d) = -9*r(d) + 2*w(d). What is m(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -1049, -2161, -3661, -5549?\nAnswer: -7825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (-5 - ((-6 - -9) + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -29. Let n = 340 - 221. Calculate the highest common divisor of n and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34761956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40242*m + 40240*m = -20 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p**14*p))\/p)*p*p*(p*p\/(p*p**(1\/13)*p))\/p)\/(p**(1\/21)*p**1*p))**(14\/13) assuming p is positive.\nAnswer: p**(8668\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = 4*f + 2, f - 3*c = -3. Let a(d) = -d**2 - d + 32. What is the units digit of a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -24, -32, -38, -42?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3489802 + 6561909 - 4*b**3 + b + 5*b**3 - 2*b**2.\nAnswer: b**3 - 2*b**2 + b + 10051711","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-1) - 1) + (-31)\/(-31). Let w be (-2 - h)*1*6\/(-309). Let n be 2\/4 + 1\/(-2). Is w at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -24*z**3 - 9*z + 1. Let w(p) = -13*p. Determine -4*m(b) + 45*w(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b. Suppose -8*o - 1 = -41. Suppose o*a = 3*a - 2*d - 4, 3*a - 2*d = 14. Let f(s) = 4*s + 5*s + 0*s + a*s. Give f(v(n)).\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 7.94. Let r = u + 1.94. Let j = 710952 + -710951.9. Sort j, r, -3\/5 in decreasing order.\nAnswer: r, j, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) + (sqrt(104) - (sqrt(104) + -2*sqrt(104) + sqrt(104))))*1 + sqrt(104) - sqrt(104))\/(sqrt(64)\/sqrt(2)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(12)\/(sqrt(16)\/sqrt(4)) + -1*sqrt(75) - (5 + (sqrt(3)*-2)**2 + -3).\nAnswer: -14 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18745 and 14030.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*u - 9, -5*b = -3*u + 49 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174 + -198 - (-28 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 99.07 and -1.455.\nAnswer: 97.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**8\/1512 - a**6\/540 + 5*a**2 - 10*a. Let l(m) be the first derivative of t(m). Solve l(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.071 - -0.031. Let g = -21.96 + d. Put 5, -3\/5, g in increasing order.\nAnswer: g, -3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6803*w**6 + 754*w**3 + 4*w**2 - 901084 wrt w.\nAnswer: 816360*w**3 + 4524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 911443719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 122*j**2 + 3*j - 86. Calculate x(61).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -31*y - 2. Let o(l) be the second derivative of l**5\/20 + 13*l**4\/12 + 11*l**3\/6 - 13*l**2\/2 - 7*l. Let i be o(-12). What is the tens digit of a(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 - (-131 + 176 + 32)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -17?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 + 4*p**2 - 16*p - 16 = 0. What is p?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-294)\/196)\/(42\/(-4)). Determine f so that 0 + 4\/7*f**4 + a*f**5 + 6\/7*f**3 + 4\/7*f**2 + 1\/7*f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -889+156.47\nAnswer: -732.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*d + 12 = 0, -15*j = -12*j - 4*d + 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -798*t**2 - 30*t - 30. Determine k(-1).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 93 = -4*u. Let o = u + -27. Let s = -14 - -20. What is the greatest common factor of s and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17251 and 39.\nAnswer: 51753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 40, 10 in decreasing order.\nAnswer: 40, 10, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -109.91. Is 4 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - a**3 - a**3 + (a + 0*a + 6*a)*(0*a**2 - 2*a**2 - a**2) + 0*a**3 + 3*a**3 - a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -5623*l**4\/12 + l**3\/3 - 569*l**2\/2 + 356*l - 3. Find the second derivative of w(d) wrt d.\nAnswer: -11246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-1*sqrt(1331) - sqrt(1331))*2.\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/180 and -73\/1764?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8376*v + 2504429. Give x(299).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499, -508, -517, -526, -535?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -3 + -111 + 49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25829 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h - 80*h**4 - 3*h - 106*h**4 + 188*h**4 + 289*h**3 in the form f*h + z*h**4 + w*h**3 + c + p*h**2 and give w.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2675?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 402462793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -246, -3, 306824 in increasing order.\nAnswer: -246, -3, 306824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6064099\/479934 - 11\/5274. Let i = z + 168\/13. What is the smallest value in i, -5, 0.06, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -11391071.\nAnswer: 125301781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 4*f - 11. Let g(v) be the second derivative of v**3\/6 - 2*v - 2. Let s(x) = -2*x - 3. Let n = -2 + 5. Give f*s(w) + n*g(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 13*y**2 - y + 18. Let f be c(13). Suppose 0 = f*x - 9 - 1. Find u, given that 0 + 0*u + 1\/3*u**x - 1\/3*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 5*w**2\/2 - 3*w + 4. Let q be m(1). Differentiate 6 - i**2 - 4*i**2 + 5*i**q - 2*i**2 with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 + 94*h - 167*h + 82*h + 4*h**3)*(-8 + 3 - 7) to the form a*h**2 + i*h + k*h**3 + m and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0 + 9*w**2 + 1\/24*w**4 + 24*w + w**3. Factor k(b).\nAnswer: (b + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*u = 4, -35*n + 4*u = -36*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3779*q**2 - 3785*q**2 + 7570*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 1. Let a(x) be the first derivative of -x**3\/3 + 27*x + 3392. Give i(a(u)).\nAnswer: 4*u**2 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 2*b. Let y be n(-2). Let w be 546\/24 - (-6)\/y. Solve 3 + w = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:09 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 58. Let h be 4\/(-24) - 1077\/z. Let t be 50\/(-8)*(-8)\/h. Which is the third biggest value? (a) -1 (b) 2\/43 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 2, -815 in increasing order.\nAnswer: -815, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 + 15*y**2 + 15*y**2 + 813*y**3 + 16*y**2 - 31*y**2.\nAnswer: 813*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-9)\/(-18)*-1*52?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416948050 to the power of 1\/3, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 4, 888, 778\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -111 - j**3 - 2*j - 110 + 222. Give f(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*(-40)\/32*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61417 is divided by 10172?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlkk when four letters picked without replacement from {l: 1, w: 5, k: 3}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 6, x - 3 + 8 = 5*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5\/2 (b) -3\/5 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + f + 30, 0*t + 2*t - 5*f - 35 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 s when four letters picked without replacement from ssssssqsssss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*x + 14 = -0*a, -3*a = -2*x - 12. Solve 0 = 2*j + 3*y + 2, -a*y = -5*j + 6 + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/(2\/216)*(-15)\/(90\/6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3259 + -2?\nAnswer: 3257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(6\/7)\/(f**(-3\/2)*f**(-1)*f))**(3\/26) assuming f is positive.\nAnswer: f**(99\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 21*n**2 + 1. Let w be u(-21). List the prime factors of ((-24)\/(-16))\/(1*w\/72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 6*h + 7. Let n be d(-4). Let v = -45 + 49. Let c be (-2)\/(v\/(-2)) + 4. Calculate the greatest common factor of n and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2059 and 11107?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -20. Let x = 35 + a. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (6 - (-7 + 11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u**3 + u**3)*(u - 3*u + 3*u) + (-16*u**2 + 152*u**2 + 4*u**2)*(0*u**2 - u**2 + 0*u**2).\nAnswer: -138*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -383, 4, -5 in descending order.\nAnswer: 4, -5, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let l(p) = 9*p - 7. Let x(o) = -6*o + 5. Let i(z) = 5*l(z) + 7*x(z). Calculate m(i(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide ((-26961)\/44)\/19*-84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2194 divided by -27\nAnswer: 2194\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + 84. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + -1.5. Let v be (-5)\/1 - 9\/(-99)*57. What is the closest to s in -2, 0.5, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -4)\/(0 - (-16)\/2). Let n be 2*(17\/(-14) - -1). Put n, y, 4 in descending order.\nAnswer: 4, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 460 = 5*y, r = 5*r - 20. Let x = y + -82. Suppose 4*s = 2*i + x*s - 15, -5*s + 25 = 0. Solve 0*w - 25 = 3*w - 5*q, 3*q = i*w + 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 3646 = 1161. Let g = -45 + -18. Let i = g + s. What is the remainder when 46 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5172*x**2 + 14247*x - 66.\nAnswer: -3*(4*x - 11)*(431*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 = -2*x, 3*x + 3*s - 4 = 2. Let a = 7 - x. Solve -29 = -4*l - 3*w, -3*l - a*w = -3*w - 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445397799.\nAnswer: 3, 6563, 174991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78885455.\nAnswer: 5, 11, 1434281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17404?\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 - 7 - 6)*(-1 + 3 - 1) + (-4 + 6 + 0)*(-2 + 2 + 2) + 2 + 2 - 1 - 2 + 3 + 0 + (-4 + 1 + 1)*(-3 + 1 + 0))*(4*m - 2*m**2 + 5*m**2 - 4*m**2).\nAnswer: 7*m**2 - 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsfsfypfffufsp. Give prob of sequence ysf.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 - 130*f**2 + 755*f - 630 = 0. Calculate f.\nAnswer: 1, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + e?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(3 - (-12)\/(-3)). Suppose 3*d + 4*u = 13, 3*d + 7 = 3*u - 8. Sort m, d, -2 in ascending order.\nAnswer: -2, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.425 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 831 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*r - 36. Solve -3*d - 5*m = -r*d + 13, -5*d = 2*m - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168277466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 540 - 541.251. Let j = q + 1.12. What is j rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-42)*(3 - (-160)\/(-72)). Which is the third biggest value? (a) 48\/13 (b) k (c) -5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 534424.9l?\nAnswer: 534424900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1383467 and 807?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)*p**2)**(-6)*(p*p**(2\/11))\/p**(-2\/9)*(p*p**(-5\/3)\/p)\/(p\/p**6) assuming p is positive.\nAnswer: p**(-521\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*z - 63*z + 66 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2754 - 0.4754. Which is the second smallest value? (a) 8 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - -1*sqrt(18)) + sqrt(2)*3*3)**2.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -115 - 1965. Let p = -20 - -5. Let j be i\/p - (-1)\/3. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - g**3 + g**3 + (-g - 1 + 1)*(-6*g**2 - 9 + 9) + g**3 + 2*g - 2*g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341698*i**2 + 3*i - 139313?\nAnswer: 683396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300999 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-8\/3)*b)\/b)\/(b*b**(-6)))**30)**10 assuming b is positive.\nAnswer: b**2600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) + 2698\/(-171). Let t = 21 + i. What is the highest common divisor of t and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*z - 401 = 4*p, 2*p + 228 = 4*z. Let h = -72 - p. Let v = h + -23. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*h**3 + 97*h**3 + 7*h**2 - 4*h + 4*h to the form l*h**2 + n*h + k + a*h**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 2414.47 and -111933737.\nAnswer: -111931322.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*c + 7945 + 2424, -5*c + f - 12947 = 0. What is the common denominator of 79\/36 and (-153)\/51 + (c\/144)\/(-7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -13.54. Let p = l + -6.14. Let u = 12 + p. Round u to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478 by 239.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20313443*c**3*h**3 + 563*c**3*h**2 + 11937*c**3 - 2*c**2*h wrt h?\nAnswer: -121880658*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88655 + 164838. What are the prime factors of a?\nAnswer: 29, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6168490400*s + 6*s**2 - 6168490400*s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7933158 and -1.\nAnswer: -0.2066842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 16*r**3 - 16*r**2. Let w be 132\/8*(10\/(-3))\/5. Let z(c) = 3*c**3 - 3*c**2. Determine w*z(o) + 2*a(o).\nAnswer: -o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -3. Let b = 4 - n. Suppose -2*p - b*k + 11 = -0*p, 2*p - k - 15 = 0. What is the highest common divisor of 77 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148064 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 - 7 + 41*u**3 + 16.\nAnswer: 41*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 481178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*c + 12. Let h be 2\/7 - 225\/(-21). Find the second derivative of 10 - 21 + h - 7*f + c*f**4 wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.043 - 10.957. Let t = -29 - -15. Let p = s - t. Which is smaller: p or 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + sqrt(200) + 1 - sqrt(200) - sqrt(200) - (-1 + -2*sqrt(200)))**2 - (1*sqrt(200) + -4)*6)*-2 + -2.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((624\/20)\/(-13))\/(28\/(-21))*95\/2964?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 - p**3 + 6*p + 10*p**2 + 0*p**3 - p**3 + 109 + 0*p**3 as g*p + d + s*p**3 + f*p**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {x: 1, j: 1, y: 1, d: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417275726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-6)*(-4)\/(-6). Suppose 3*p = -h - 5. Let o = -25 + 173\/7. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304404533 (base 6) to base 14\nAnswer: -9ac09b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 3*d**2 + 5*d - 6. Let r be j(-6). Suppose 0 = -5*a - 28 - r. Let k = 78 + a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77524.\nAnswer: 2, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g - 102. Let u be o(14). Is 8 a factor of 2\/u*(-111 - -17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3061, 3073, 3101, 3151, 3229, 3341?\n\"Answer: q**3 + 2*q**2 - q + 3059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 39, 38, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/189 + 416\/3591. Let p = -12.9 + 13.2. Let l be 0\/(-2) - (-2)\/(-14). Sort b, p, l in ascending order.\nAnswer: l, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(3*w + 3*w - 5*w)*(81 - 81 - 8*w) to the form a*w**2 + r*w + h and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271980*b**3 + 5596*b**2 - 11 wrt b.\nAnswer: -1631880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c + 818010 = -17*c + 7603110. What is c rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 19 and -2.7379095904026.\nAnswer: 16.2620904095974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-12\/7))**33)**(-21\/4) assuming a is positive.\nAnswer: a**297","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:57 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6 = -m - 2, -20 = -5*m - 2*x. Suppose 3*l - 299 = -m*z, -z + 2*l = -2*l - 70. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-1 + 0 + 0)) + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1461 and 9?\nAnswer: 4383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-130)\/(-195)*(-2)\/(-4)*-1*-15 and 1907?\nAnswer: 9535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 3*j**2 + (6 - j - 6)*(-5*j - 2*j + 3*j))*(0 + j**2 + 0).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 3 + 0 + 0*g)*(-3*g**2 + 2*g**2 + 2*g**2).\nAnswer: 5*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -14. Let o = 0.56 + 28.44. Let h = o + -28.6. Which is the second smallest value? (a) h (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 3*k - 9, -17*k - 9 = 2*o - 14*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -14, -3, -2, 2, -35 in descending order.\nAnswer: 20, 2, -2, -3, -14, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -2)*(0 + (-3)\/6). Let v(t) be the second derivative of 1\/6*t**4 + w*t**2 - 4*t - 4\/25*t**6 - 2\/25*t**5 + 2\/15*t**3 + 0. What is b in v(b) = 0?\nAnswer: -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*k**2 - 24\/5 + 22\/5*k.\nAnswer: 2*(k - 1)*(k + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/9 + -7 + 2\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - 0) + 8 - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7066936 take away -6.317?\nAnswer: -7066929.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 290*m**3 + 277*m**3 - 104*m**2 - 294*m**3 - 70*m**2 wrt m.\nAnswer: 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236588 + -236590. Suppose 0 = 2*d + 3*d. Put d, f, 2, -4 in decreasing order.\nAnswer: 2, d, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 59015 = -5*b, 0 = -4*r + 3*b - 0*b + 235991. Suppose 2*y - 3*y - r = 0. Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84583*i**3 + 31956 wrt i?\nAnswer: -253749*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109033623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 4*g - 2*g. Let s(i) = -16*i. Let f(v) = -24*v. Let t(k) = -5*f(k) + 8*s(k). Give t(c(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*m = -4309, 12935 = 2*j + j + 4*m. Suppose 2*x - 2960 = -2*g - 98, 0 = 3*g - 2*x - j. What are the prime factors of g?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 4*m**2 + 5*m - 1. Give z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -152523 >= -3508030\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**4\/30 + 6*q**3\/5 - 7*q - 145. Let y(i) be the first derivative of a(i). Factor y(v).\nAnswer: 2*v*(v + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*l**3 - 350*l**2 - 3*l - 6668.\nAnswer: 888*l - 700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-53)\/3 - -3)*3. Let v = t + 68. Suppose q + 46 = 4*p + 3*q, 2*q = p - v. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (-3*sqrt(80) + sqrt(80)))\/sqrt(8))\/sqrt(2).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y + 6. Let b(o) = -12*o + 7. Let s(h) = -6*b(h) + 7*j(h). Let i(w) = -3*w**2. Calculate s(i(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 less than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84101161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q = 20. Suppose -4*s + 7 = -5. What is the remainder when q is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102550225 + -45?\nAnswer: 102550140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + 770\/294. Which is smaller: q or 11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29606, -59312, -89250, -119540, -150302, -181656?\nAnswer: -213722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 + -182. Suppose -q + 208 = 2*i - 468, -q = f*i - 1012. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 44, 62, 78?\n\"Answer: -r**2 + 23*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1754*o**2 + 24*o - 25. Let j be d(1). Let a = j - -6082. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8*(8 - 0). Let n be (-472)\/(-32) + (-1)\/x. Suppose 45*t - 80 = 5*t. Solve -t*q + 5*q + n = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*s + 5, 4 + 15 = -l - 4*s. Calculate the lowest common multiple of (-1)\/(l\/(-2))*-3 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -223.2514588993?\nAnswer: -222.8514588993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(187) - (sqrt(187) + 6*2*sqrt(187) + sqrt(187)))\/(sqrt(44)*1).\nAnswer: -13*sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.692 + 0.308. Let t be 4\/(-10)*(0 + 5). Which is the closest to t? (a) f (b) -1\/10 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i - 25*i**2 + 8*i - 20*i + 4*i + 3*i to g*i + v*i**2 + s and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -401 - -424. Let i(p) = g*p + 65 - 31 - 27 - 18*p. Suppose -y - 17 = z + 3*z, 0 = 3*z + 4*y + 3. Calculate i(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9940 divided by -4\nAnswer: -2485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a week in hours?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*l + 2805 = 0, 2*t - 17*l = -14*l + 1126. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16352.60906 rounded to the nearest ten?\nAnswer: 16350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1147*(-111538)\/(-5397)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w - 16 = 0. Let k(p) = p - 21*p**2 + 5*p**2 - p**3 + 8*p**2 + 10. Let m be k(w). Put m, 4, -2 in increasing order.\nAnswer: -2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4831, -9622, -14413, -19204?\n\"Answer: -4791*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 243?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12644 - 20392 + 7748 + 199*h**2.\nAnswer: 199*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -648.9 - -28.9. Let l = -624.98 - d. Let p = l + -0.02. What is the nearest to 0 in p, -1\/3, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/(2\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tstttttttttttttttttt. Give prob of picking 1 s and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a kilometer in meters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*w**3 - 133*w**3 - 1099*w**3.\nAnswer: -1357*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 4. Let r be (-1)\/2 + 3\/6. Let k be a(r). Solve 0*y**3 + 4\/9*y**k - 2\/9*y + 0 - 4\/9*y**2 + 2\/9*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 225.7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4 - 19*i**3 - 3*i**2 + 55*i + 38 = 0.\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r + 312 - 97 = 0. Let s = -0.5 - -1. Sort 2\/9, r, s in decreasing order.\nAnswer: r, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1395 and 120745?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5351958.\nAnswer: 2, 3, 19, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -14, 5, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 313 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:23 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 6*r + 3. Let z be g(-6). Suppose -z*q - 2*m + 16 = -14, -18 = -3*q + 2*m. Calculate the remainder when 22 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**3 + 13*j**2 - 17*j - 131. Let v be y(-5). Which is smaller: -333 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 1, 20, 6, -1\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9629 + 2.1629. Sort -2\/503, j, 1 in ascending order.\nAnswer: -2\/503, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + g - 2*g**3 + 0*g**2 + 3*g**3 - 3*g**2. Let v(a) = -4*a**3 - 5*a**2 - 5*a. Let j(q) = -3*l(q) - v(q). Give j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 15, u: 4}. Give prob of picking 2 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*1)*-5)\/(sqrt(6) + sqrt(24)\/(sqrt(4)*2)) + (sqrt(11) + -1 + 2 + (-1*(1*sqrt(11) + sqrt(11)))**2)*1 + -5.\nAnswer: sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 6*r**2 - 6*r - 5. Let c be t(-5). Suppose -a + 2 = -c*a. Suppose -174 = -4*q + 3*w - w, a*q = -w + 97. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4939002.4 and -0.0102?\nAnswer: 4939002.4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18444*w + 36893*w + 633*w**2 - 18449*w.\nAnswer: 633*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h**2 - h + 2. Suppose 2*m + m + 18 = 0. Let f = 8 + m. What is x(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84230 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -3*z - 17, 3*i + 2*z - 10 = 0. Suppose -q - i*l = -15, 0 = -3*q + q + l + 21. Is (q\/3)\/(4\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8325 (base 14) in base 13?\nAnswer: a375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -25*t + 11. Let p(l) = 2*l - 2. Let b be p(-3). Is d(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -66*z - 2318 - 485 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5 - 6135*t**4 - 32769*t**3 + 8082867*t**2 + 129435720*t = 0.\nAnswer: -2039, -23, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -7. Sort z, 0, 1.\nAnswer: 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6576440, 13152872, 19729304, 26305736, 32882168?\nAnswer: 39458600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = x + 33, -252360*m + 252356*m = -40 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38877797215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (227 - 216) + (42 - 15) + (-1 - 8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + 8 + -4 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 27504*b + 63039168.\nAnswer: 3*(b - 4584)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 253, 482, 783, 1156, 1601, 2118?\nAnswer: 2707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l + 35. Suppose 3*y = -0*v - 3*v - 12, -2*v - 4 = 0. Let h = l - y. What is the remainder when h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sysyyssysyysyysssssy. What is prob of sequence ysy?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + -4*sqrt(1100) + -1 - (1*sqrt(1100)*-4)**2*5).\nAnswer: -88001 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/14)\/p)\/((((p\/p**(-17))\/p)\/p)\/p)*(p**(-2\/3))**(5\/4) assuming p is positive.\nAnswer: p**(-355\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s**3 - 672*s**2 + 658*s + 115. Calculate i(55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 0 + 0)*(0 + 0 + 3*l) - 6*l**3 - 75669*l**4 - 457*l**2 + 7*l**3 + 75671*l**4.\nAnswer: 8*l**4 + l**3 - 457*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -521 - -523. What are the prime factors of ((-560)\/50)\/(n\/(-75)) + -3?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27261064*o**3 + 29504351*o**2 wrt o?\nAnswer: -163566384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 0 - p - 3*p**2 + 2 + 0 = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6601*z + 1747 wrt z?\nAnswer: 6601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:23 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/6 - ((-20)\/(-70))\/(20\/(-35))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1017782 and 101\/135365006?\nAnswer: 135365006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1285 or 1286?\nAnswer: 1286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 240*z + 35 - 242*z + 111 to the form c*z + g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47a + a814?\nAnswer: a367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58635\/49514)\/((-12)\/(-38)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(30)\/(-4*sqrt(5) + sqrt(5)) + sqrt(6) + sqrt(6))\/(sqrt(50)*-5))*-2)**2.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1) + 6\/10. Suppose 0 = 5*x - 2*x. Suppose -5*o - t + 9 = x, 4*t - 8 = 2*o + 6. Which is the nearest to -1? (a) o (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 338, 539?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**36*d*d**(1\/6)*d*d**6\/d)**(-17) assuming d is positive.\nAnswer: d**(-731\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1994841 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -840 (base 15) to base 9\nAnswer: -2486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1976 - -3204. Is s a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 14) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35057906 is divided by 214?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5325, -5447, -5543, -5601, -5609, -5555?\n\"Answer: 2*r**3 + r**2 - 139*r - 5189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (11 - 4) - (-134 - -130).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39526 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 1, m: 1, b: 1, k: 1}. Give prob of sequence kby.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 78\/24 + (-2)\/8. Let p = -11 + x. Let z = p - -10. Put -1, z, -4 in descending order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2*g**2 - f**2*g - 18824*f**2 + 953*f*g**2 + 1 wrt g?\nAnswer: -4*f**2*g - f**2 + 1906*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdshdgd. Give prob of sequence dg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 551780 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 90 = 4*z. Let g = z + 189. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1566, 3280, 4994, 6708, 8422, 10136?\n\"Answer: 1714*s - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*b + 2, -3*o + b + b = -3. Let k(c) = 3*c**3 + c**2 - 81*c - 81. Let t be k(-1). What is the second smallest value in t, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -1.4. Let c = -6.37 + 3.37. What is the closest to -2 in c, p, 6\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4578\/(-18))\/(-7) + 1\/(-3). Suppose 6*u = -3*u + y. List the prime factors of 6\/12 + 0 + 890\/u.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 3)*28\/6. Suppose 5*i - 4 = -f, j - 17 = 5*i. Suppose 0*z = 3*z - 3. Solve -j = k - 2*x, -5*x = k - 3*x - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25099958.\nAnswer: 2, 13, 89, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 2*t**2 + 4*t - 2*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000843 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 587*l**4\/12 - 5777*l**2\/2 - 8478*l. What is the first derivative of b(s) wrt s?\nAnswer: 1174*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -16. Suppose -4 - 4 = -r*k. Solve -2 = -k*l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28639701 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26119.054226 - -26119. Let r = a + 0.0557. Round r to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 42.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-1210))\/(27228\/(-199672))?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 + 17*b**2 + 207*b - 406. Determine m(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68\/24 + 2\/12. Solve g*a + 0 = 3*r - 3, 3*a = -5*r - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose 3*y - 7 - 5 = g. Let t be (-10)\/y - (-3 + 1). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*l + 3*m = -86*l + 171*l - 55, -5*l + 21 = -m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-21 + 4 - -49).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 40. Calculate k(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 11:16 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/3 - 20374*b\/3 - 40756\/3 = 0 for b.\nAnswer: -2, 10189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -8 - 296*m + 388*m**2 + 1692*m**3 + 10830*m**5 - 8*m - 3238*m**2 - 218*m**3 + 14858*m**4 = 0.\nAnswer: -1, -2\/3, -1\/19, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451 a factor of 3359065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -84 + 0*p**3 - 15\/8*p**4 + 0*p**6 - 2*p**2 + 0*p**5 + 0*p - 101\/210*p**7. What is the second derivative of r(t) wrt t?\nAnswer: -1212*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542060 is divided by 90208?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -5\/2*j**2 + 3 + 9*j. What is the derivative of q(b) wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36363 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.493635 weeks?\nAnswer: 1426.93068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 16, i: 4}. Give prob of picking 2 n.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - 9. Let c be (-4)\/(-1 - (-3)\/p). Suppose -4*i + 96 = 4*m, c*m - 30 = m + 5*i. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 42, 72, 114, 168, 234?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -15\/3079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -5.958. Let x = r - 0.158. What is the closest to -1\/5 in -2, -3\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 32*o - 6. Let y be ((-1 - -7)\/(-2))\/(1*-1). Suppose -1777 = -y*u - 1723. What is the remainder when f(4) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from doc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 184 = 24. Calculate the remainder when 61 is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and (-1)\/(8\/(-20))*462\/55.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -201, -1010, -2231, -3870, -5933?\n\"Answer: -m**3 - 200*m**2 - 202*m + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 29*u**3 - 19*u**3 - 28*u**3.\nAnswer: -71*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3421, -3216, -2853, -2332, -1653, -816?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/362 and 55\/18.\nAnswer: 3258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:53 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -310831 or -310834?\nAnswer: -310831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140957 by -1623.\nAnswer: -140957\/1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*y + 211*y - 2 + 3*y - 22*y - 3.\nAnswer: 272*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + c + 20 = -c, -4*c = -20. Let a be 8\/(-14)*(-35)\/t. Factor 4\/3*u - 1\/3*u**2 - a.\nAnswer: -(u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 u when three letters picked without replacement from {q: 4, e: 1, u: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/3)\/((-748)\/4488).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/143 and 6\/221.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1810\/(-7) - (-6)\/(-14). Let r = p - -520. List the prime factors of r.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 43720*b + 1223323. Determine t(-28).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24273493?\nAnswer: 29, 837017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, 0.2, -2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794446*d - 126 = 794488*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 + 2*u**2 - 1. Let g(t) = -t**3 + t**2 - t. Let b(c) = -g(c) + y(c). Let h be b(1). Let o = 51 - 56. Sort h, o, 1 in decreasing order.\nAnswer: 1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -5 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**5\/20 - o**4\/6 - o**3\/2 - o**2\/2 + 4*o. Let i be k(3). Let d(j) = -13*j + 1. What is the units digit of d(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9))**(-14)\/(w**(-2\/7))**38)**(-13\/3) assuming w is positive.\nAnswer: w**(-11440\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 714525019 to the power of 1\/2, to the nearest integer?\nAnswer: 26731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8 - 10. Suppose -14 - f = -5*u. Suppose 3*y + 5*h = -0*y + 15, 0 = -u*y - 2*h + 34. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9441*c**2 + 20647*c**2 - 19 + 24*c - 10207*c**2 wrt c?\nAnswer: 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 + 4*o**3\/3 - 3*o**2\/2 - 2*o + 2. Let s be x(-4). Solve s = 5*i - 0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 2}. What is prob of sequence kl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4745075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-128)\/(-48))\/((-2)\/24). Let j = t + 124. Suppose -88*b - 1796 = -j*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**2 - 2*r**2 - 16*r**2 + 8*r**2 - 1 to v*r**2 + t + q*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3855 (b) 0.3 (c) 0.5 (d) 1\/3 (e) -3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03497 and -0.4.\nAnswer: -0.43497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-10 + -9 + -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 46*r - 488. Calculate the lowest common multiple of j(11) and 466.\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531343, 1062675, 1594005, 2125333, 2656659, 3187983?\nAnswer: 3719305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 9064 = -4*n - 8973 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2456 - 28*s**2 + 607 + 612 + 613 + 616 - 2*s to b + y*s**2 + a*s and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/30 + x**5\/60 + x**4\/24 + 3*x**2. List the prime factors of v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2370788401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/4*(-9)\/12. Suppose -2*d = -y*b - 446, d + 0*b - 223 = -4*b. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*t = -25*t - 5076. Suppose 61 = -t*p + 110*p + c, -4*c = 12. What is the greatest common factor of 448 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 3. Let c be u(-8). Suppose 3*f = 4 + 2. Let l = f - c. Calculate the greatest common divisor of l and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Suppose 0 = -2*b - 14 - 8. Let t = b + 15. Is q != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*a + o + 29, -2*a - 2*o = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -81479760 divided by -25744\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425 divided by -6.\nAnswer: -425\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 18*l - 60. What is t(10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5211596 and 24180?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -b - 3, -3*b + 1 - 2 = -2*l. Let h**3 - 3*h**3 + 4*h**l + h + 3*h**3 + 2*h**3 = 0. What is h?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 7*h**2 - 2*h - 8. Determine n(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -363 + 363. Suppose -2*f = -3*r - 2734, 2*r + l - 8 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -59*z + 143. Let x be q(-7). Calculate the highest common factor of x and 1251.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 6*k - 5. Let u be m(-4). Let p be 0\/(-1 - 0) + u. Solve -o = p - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -371866?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86, -163, -238, -311, -382, -451?\n\"Answer: n**2 - 80*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*b**4 + 6 + 2*b**4 - 57*b**2 + 3 + 1584*b**6 + 94*b**4 wrt b?\nAnswer: 190080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*o + 4*o + 4, -5*r = -3*o - 1. What are the prime factors of 48*(o + -2) + 2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s + 4. Let p be a(0). Suppose p = 3*u - 4*u. Let b = -4 - -6. Sort b, u, -3.\nAnswer: u, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22403 (base 5) in base 3?\nAnswer: 2012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -388 divided by 53324\nAnswer: -97\/13331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 75995 = 5*j, -63940 + 13265 = -2*p - j. What are the prime factors of p?\nAnswer: 2, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -49, -88, -139?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 - -3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 5*v + 2. Let a be f(-6). Let s be 5 - (3 - 0) - a. Solve -k + s = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-25))\/t*t)\/(t*t**13) assuming t is positive.\nAnswer: t**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 101*l**3 + 12*l**2 + 3 - 4*l**2 - 17*l**3 to the form i*l**2 + s*l**3 + p*l + v and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + m + 44, -3*t = -7*t - 5*m + 12. Let q(v) = t*v - 5*v - 3 - 3*v + 2*v. Calculate q(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 34.6. Let v = 4 + x. Suppose -4*n - 3 = 9. Which is the nearest to 0? (a) v (b) 4\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(9\/2)*(v*v*v**(1\/9)*v)\/((v\/((v*(v*v\/((v**(-1\/14)\/v)\/v))\/v)\/v))\/v*v) assuming v is positive.\nAnswer: v**(653\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*k**2 + 85*k**2 - 206*k**2 + 52 + 74*k**2.\nAnswer: 3*k**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560713 is divided by 559645.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -0*s - 3446502. Let w = -206125 + s. Suppose 4*n + w = 32292. What is n rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189551892.\nAnswer: 2, 71, 983, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 17*f**2 + 18*f - 15. Let y be b(16). Let c = 22 + -24. Let a(i) = i**3 + 3*i**2 - 3. Let s be a(c). Sort y, s, 0, 2 in descending order.\nAnswer: y, 2, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: a907 (base 11) to base 10\nAnswer: 14406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -416 * 289\nAnswer: -120224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (3 + -5)) + (-95 - -103).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 42385341.\nAnswer: 42385341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20334005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004751 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -36 + 4*n**2 + 0*n**2 + 37. What are the prime factors of g(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 3*a**2 - 18*a - 32. Let c be t(-2). Solve 20 = -4*z - 3*r - 11, 3*z - c = 4*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*l = -42, 3*m + 2*l + 3439 = 3464 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.339 and 315346.\nAnswer: 106902.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71779912 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59265 and 1422360.\nAnswer: 1422360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 168.6735 years?\nAnswer: 1.686735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 594 + -592. Let r(n) = n - 3. Let l be r(4). Let f = 0.1 + -0.2. What is the nearest to f in -5, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -552*h + 14371. What is p(24)?\nAnswer: 1123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 164*w**3 - 154*w**3 - 2*w**2 + 483*w**3 - 164*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.58 + -0.58. What is the second biggest value in r, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6 + -4.677809.\nAnswer: -8.277809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5479*k**3*q**2 + 6*k**2*q**2 + 663*k**2*q - 2*k*q**2 wrt k.\nAnswer: 32874*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 3231612*q**3 - 2610858113982*q**2 - 46994660772876*q - 211474795561929.\nAnswer: -(q + 9)**2*(q + 1615797)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (680\/88 + -8)\/(6\/4). Put 0.4, -2\/3, x, 2 in ascending order.\nAnswer: -2\/3, x, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 1, t: 3, o: 1, e: 5}. Give prob of picking 1 o and 1 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3199, 11400, 24597, 42784, 65955, 94104?\n\"Answer: -v**3 + 2504*v**2 + 696*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -54 * -1445\nAnswer: 78030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*v**4 - 698*v**3 - 12831*v.\nAnswer: 108*v**2 - 4188*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -52317.\nAnswer: -1098657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -565 * 0.74\nAnswer: -418.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 9. Does 6 divide (-4)\/(-14) + 450\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbp when three letters picked without replacement from bbvvrrrrvvvbpbv.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*h + 544 = 0, 0 = n + 4*h - 5*h - 107. What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76a5813 - -5?\nAnswer: 76a5818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqba. What is prob of sequence qb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27*v - 93. Let k be z(4). Solve -9*s = -k*s - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:07 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 765508*p - 73250312258.\nAnswer: -2*(p + 191377)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -11. What is the highest common factor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101122 (base 3) in base 14?\nAnswer: -124b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3) + 17 + -10 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 - 0.22. Let j = 2.09 + h. What is the nearest to 1\/2 in j, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 6*i. Calculate the lowest common multiple of v(-5) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497 (base 11) in base 2?\nAnswer: -1001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*p + 8, -3*p + 2*i + 9 - 1 = 0. What is the remainder when 57 is divided by (-3 - 0\/p)*-5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15108 and 1163210244?\nAnswer: 15108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*x = 9*o, 3*o + x - 5 = 0. Suppose d + 4*d - 5*w = 100, 14 = d + o*w. 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: Which is bigger: 6261 or 5926?\nAnswer: 6261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + 2*g. Let t(m) = -m**2 + 1. Let h(r) = 5*r + 5. Let x(v) = h(v) - 5*t(v). Let a(i) = -5*d(i) + 2*x(i). Let u(p) = p. Calculate u(a(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6660 and 2046960?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166205?\nAnswer: 5, 13, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(4*k - 3*k + 5*k)*(-13*k**4 + 28*k**4 + 23*k**4).\nAnswer: 456*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 5*g + 3*g + 3*g - g - g - g + 0*g - g + (6 - 4 - 3)*(3*g + 0*g - g) + 2*g - 2*g + g - 45*g - 346 + 346 + (-2*g - g + g)*(2 + 2 - 3).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 75 = -110 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 748.3701 millilitres?\nAnswer: 0.7483701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (558\/(-756) - (-12)\/72) + 6\/35.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 3:02 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 8 - 20 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -102. Suppose 5*w = 3*h - 20244, -4*h + 26997 = -5*w - t*w. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8946 + -8945. Which is smaller: 2902 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 5775*q**2 - 4072896*q + 622328832.\nAnswer: 3*(q - 288)**2*(q + 2501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337\/5 - -68. Let r = 43\/14 + -32\/7. Let p = 929\/9 + -103. Which is the second biggest value? (a) p (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 3*x + 0*x)*(-1 + x**2 + 1 + (3*x - 3 + 3)*(-4*x + 0*x + 3*x) + 2*x**2 + x**2 - 2*x**2).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 10) in base 11?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 29*x + 17*x + 26*x + 5*x in the form i + h*x and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 6:58 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((-504)\/(-840)*(-15)\/(-7)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552200 and 5874000.\nAnswer: 1474374000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -7, 2, 13, 26, 41?\n\"Answer: m**2 + 4*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-175)\/(-28))\/(184\/(-32) - -7). Sort -244, t, 13.\nAnswer: -244, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50278 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476, 471, 452, 413, 348, 251, 116?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-42) - (-1)\/7)\/(-1). Suppose -r = -2*y - 14, a = 4*r - r + y - 77. Solve -4*z + r = 4*j, -4*z + 2 + 25 = 5*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 196 = -4420. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-2 - (16 + -4)). Calculate the greatest common factor of 8 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1988.\nAnswer: -1\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936) - ((sqrt(936) - (sqrt(936)*1 + sqrt(936) - sqrt(936))*-1) + sqrt(936)) - sqrt(936))\/(sqrt(18)\/(sqrt(1944)\/sqrt(6))).\nAnswer: -108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3958, -4, 5 in decreasing order.\nAnswer: 3958, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z + 5*z + 3*z - z + 3*z. Let q(l) = -36*l. Calculate -18*a(p) + q(p).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14264 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4995073 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497*q + 495*q - i + 23421 = 0, -4*i + 11693 = q. Calculate the greatest common factor of 34 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p - 4. Let h be z(3). Calculate the smallest common multiple of (h + 1)\/(9\/6) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -52*b - 2909. What is o(-56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3751.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 2512\/5 - 86\/215. Suppose 516 = -3*p + 5*p - 2*i, -3*i + x = 2*p. Let z = p + -137. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*3*-3. Let f be (-5)\/c + (-4)\/(-12). Solve 2 = 2*w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1, 3, 5, 71, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7300 - 79?\nAnswer: -7379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 - 3.2. Let m = d - -0.4. What is the biggest value in m, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t. Let d be u(-1). Let m = -4 + d. Let r(o) = 2*o - 1. What is the least common multiple of m and r(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 27. Let w be n(-9). Suppose 4*z = 5*d - 183, -3*z + 2*d + 3*d - 141 = w. Let j = -2 - z. Calculate the remainder when 156 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173285 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 1 - 1. Let t(q) be the third derivative of -q**5\/60 - 38*q**2. Determine u(t(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 89*m - 855 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23960203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*d*g**4 + d*g**3 + 4*d*g**2 - 79487*d*g - 31*d + 508772*g**4 wrt g?\nAnswer: -288*d*g + 6*d + 12210528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 1653.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:17 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 27 = -2*w - 3, 3*w + 3*s - 63 = 0. Suppose 0 = -2*x + 5*x + 3, 4*x + 58 = 3*y. Let d = w - y. Solve 0 = 4*n - d + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 - 3*r + 9. Let i(g) = 10*g**2 + 7*g - 18. Determine 9*b(j) + 4*i(j).\nAnswer: -5*j**2 + j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3809, -3868, -3945, -4022, -4081, -4104, -4073, -3970?\nAnswer: -3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5 + 5 - 1 - 3 + (0 - 2 + 0)*(-3 - 2 + 3))*(2*m**2 - 2*m**2 - 2*m**3)*(-51*m - 7*m + 20*m) - 2*m**4 + 0*m**4 + m**4.\nAnswer: 531*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t. Let v(n) = -83981*n - 3. Calculate f(v(c)).\nAnswer: 587867*c + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 1. Let r be t(-3). Let n be (2 - r) + (1 - -1). Let a be n*3\/(-3) + 29. Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 23 = 3*s, -2*s + 0*m + 14 = -3*m. Which is the nearest to s? (a) 3 (b) -2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbkb when four letters picked without replacement from {b: 3, r: 1, k: 4, l: 1, x: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 96*(2 - 6\/4). Suppose w = 4*w - z. Calculate the least common multiple of 4 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**2 + 11*a + 2. Let p(x) = x - 5. Give 9*p(c) + 4*r(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -d + 16. Suppose 0 = n - 4*n + d. What is the remainder when n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540398 and 7942?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 6. Give u(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**2 + 550*y + 7*y**2 - 123*y + y**2 - 4*y**2 - 1 to the form o + u*y**2 + c*y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 482346.3 weeks in days?\nAnswer: 3376424.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72.2 + 72. Which is the nearest to 1? (a) 2\/3 (b) d (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) + (sqrt(70)*-4)\/sqrt(7)) - ((sqrt(126)\/sqrt(2))\/sqrt(9) - (sqrt(252) + 2 + sqrt(252))**2).\nAnswer: 140*sqrt(7)\/3 + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 393021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -25*b + 40. Suppose 0 = b*n + 147 - 122. Let t(s) = s**3 + 4*s**2 - s + 6. What is t(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7006?\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 - q**2 - q + 1. Let z be i(1). Let k = z + 12. Suppose 0*j = k*j - 195. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 421800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Let c = -1 + 5. Suppose c*v = -v + 20. Solve -2*m - v + 18 = u*h, m = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6516 and -151\/609246?\nAnswer: 1218492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -584765.84 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/1658, -47, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104221053 (base 6) in base 16?\nAnswer: 1cc1d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + x + x - 18, 2*x = -3*y - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/270 - 25*w**4\/27 + 11*w**3\/3 + w**2 - 915. Suppose x(j) = 0. Calculate j.\nAnswer: 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -221, -4, 4 in decreasing order.\nAnswer: 4, -4, -12, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.8 and -0.15.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -22, 55, 162, 299, 466?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2. Let l(d) = 2*d - 3816735. What is l(t(p))?\nAnswer: 8*p**2 - 3816735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 6694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7105.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/2, 82, -1492, 4, -4 in ascending order.\nAnswer: -1492, -4, -0.1, 1\/2, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 3, w: 4}. What is prob of picking 1 m and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 21709569022164\nAnswer: -21709569022133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from gobggpmobcbgggmbbbcb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.493823 to 3 dps.\nAnswer: -0.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -276, 97, 4790, 1\/2?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -719788713 divided by 1369?\nAnswer: -525777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 16*n + 66. Let g be u(-8). Let k = -27 + -12. Does 4 divide k\/(-6) - g\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78\/415 + 1\/83. Let c be (-36)\/(-65) + 2\/(-5). What is the closest to -1 in c, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*c + 21*c + 29*c)*((c**3 - 1 + 1)*(5*c - 3*c - 3*c) - c**4 + 4*c**4 - c**4 + (0*c**2 + 0*c**2 - 2*c**3)*(-4*c + 3*c + 0*c)).\nAnswer: 96*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.3. Let w = -1092 - -1098.17. Let p = w - 0.17. Which is the closest to h? (a) -1 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.00772 + -48.50472. Let c = p + 52.5. Let j = -5 + c. Round j to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - 2*p**2 + 17*p**2 - p**2.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1233 - 1213 = 4*t. Sort 13, t, 1, -1 in decreasing order.\nAnswer: 13, t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**22\/(w\/w**(-2\/5)*w) assuming w is positive.\nAnswer: w**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c, -2*c = -3*y + 498. Let f = y + -97. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2 + (-7 - -12). Let p = k - 12. Let g(r) = -6*r**2 + 4*r - 3. Let b(v) = 2*v**2 - v + 1. Give p*b(s) - 2*g(s).\nAnswer: -2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {y: 3, v: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2358151 - 1404530. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24283.\nAnswer: 7, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -80.9999713. Round c to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a43 - a?\nAnswer: -9a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from dbbjjd?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, j: 1, n: 1, q: 1}. Give prob of sequence lon.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-1)\/1)*-1. Let o = 2 + f. Suppose o = -4*y + 3*b + 4 + 4, -4*y + 32 = 3*b. Solve -4*l = l + y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 491*k - 4432. Determine b(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51549, 51563, 51585, 51615?\nAnswer: 51653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 1. Let j be r(1). Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 0*z**3 + 0*z**4 + 2*z**2 + 0*z - 6 - 1\/60*z**5. Let m(t) be the second derivative of y(t). Let w(i) = 5*i. What is m(w(n))?\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 38*b**2 - 7*b - 7. Let s = 4552 - 4545. Let x(a) = -19*a**2 + 3*a + 3. Calculate s*x(q) + 3*n(q).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d - 10*d + 27*d + 7*d**2 to the form m*d + u + q*d**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*o = 71*o + 8. Suppose 0 = 5*u + 5, -p - u + o = -5*u. Sort p, 1, 9.\nAnswer: 1, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/4 - 23*f**3\/6 + 4*f**2 + 42*f. Let u be g(8). Solve -5*c + 6 = -2*c, 4*z + u = 2*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + c + 1. Let d(j) = -28*j**2 - 25*j**2 + 50*j**2 - 23 + j - 21*j**2. Let n(m) = d(m) - 3*u(m). What is the derivative of n(v) wrt v?\nAnswer: -60*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*u**2 + 2\/9*u**3 - 2\/9*u - 2\/3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.399973ng?\nAnswer: 0.000000000000000399973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 455290339 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 17, 15, 13, 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 5*w - 6. Determine b(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -589?\nAnswer: -5\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 14. Let k(d) = 4*d - 7. Let j(x) = 5*x - 6. Let v(n) = -2*j(n) + 3*k(n). Let o(i) = -5*b(i) - 8*v(i). Let z be o(-2). Solve -l + 1 = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/20 - 7*z**4\/12 - z**3\/3 + 5*z**2 + 11*z. Determine r(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*v - 1697 - 481 = 0. What is the second smallest value in 1\/23, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-10)*((-156)\/(-13))\/(-12)*-5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4189*y + 18*y**2 - 21*y**2 - y**3 + 3*y**2 - 22 + 20.\nAnswer: -y**3 + 4189*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 256, -38, -812, -2306, -4760, -8414?\n\"Answer: -40*b**3 - 14*b + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*u - 20, -6*u + 3*u - 4 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*1*3*-6)\/(sqrt(90)\/(sqrt(441) - sqrt(441)*2 - sqrt(9))))**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -9. What is the second biggest value in -3\/7, d, -0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u. Let c(w) = w**2 - 557*w - 1. Determine c(g(l)).\nAnswer: 36*l**2 - 3342*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1\/6*w**2 - 40\/3 - 1\/12*w**3 + 16\/3*w = 0.\nAnswer: -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-388*h + 0 + 221*h + 2)*(2 - 2 - 2) to s*h + a and give s.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000654966 rounded to 7 dps?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 93783545 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/3, -7\/20, 0, 26?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1\/9, 2, 0, 1, -3 in descending order.\nAnswer: 2, 1, 1\/9, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10554010 to the power of 1\/2, to the nearest integer?\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2686 divided by -25\nAnswer: 2686\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(3\/10))*y\/(y*(y**(3\/2)\/y)\/y)*(y**(1\/3)\/y)**26)\/(y**(-2\/21)*(y\/(y*y*(y*y\/(y\/y**4))\/y*y))\/y*y**(-7)\/(y*y**(-9))) assuming y is positive.\nAnswer: y**(-1159\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935002 is divided by 311417?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(x**4 - 3 + 3) + 4*x**3 - 2*x**4 - 4*x**3 + 3*x**4 + 0*x**4 - 5*x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 10*l. Let k be s(-10). Let t(v) = k*v**2 - 2 + v**2 + 78*v**3 + 3*v**2 - 2*v - 77*v**3. Give t(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h + 6. Let k be a(-14). Let z = k - -109. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16127, -64403, -144611, -256541, -399983, -574727, -780563?\n\"Answer: 35*b**3 - 16176*b**2 + 7*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d - 11 + 61*d**2 - 34*d**2 - 26*d**2. Is u(8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**4 - k**3 + 22357*k**2 + 2066?\nAnswer: -8*k**3 - 3*k**2 + 44714*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 - 6*h**2 - 2*h + 3. Let n(o) = o + 13. Let s be n(-12). Let u be (s\/5)\/((-16)\/(-80)). Let p(b) = -b**3 - b**2 + 1. What is u*q(j) - 6*p(j)?\nAnswer: j**3 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(9)\/sqrt(3))**2 + -1 + sqrt(75).\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**4 + 71380*h**2 - h - 510594?\nAnswer: 12*h**3 + 142760*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33805?\nAnswer: 5, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 + 59 + p + 0*p - 55 + (p + 2*p - 23*p)*(2*p - 3*p + 0*p).\nAnswer: 24*p**2 + p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28472913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 81567161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-5))\/f*f*f*f*(f*f\/(f*f**3))\/f)**(-1\/11))**(14\/11))**(-39) assuming f is positive.\nAnswer: f**(-2730\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 (base 10) in base 5?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -374*z**5 + 64746*z**4 - z**2 + 527954*z + 1.\nAnswer: -22440*z**2 + 1553904*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = h - 2*p - 0, -5*h + p - 4 = 0. Suppose -2*a - a + 9 = h. Suppose 0*k + 2 = 2*k, z = a*k + 11. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-3)*24\/(-8). Suppose y*h = h + 24. Calculate the greatest common divisor of h and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -138*v**2 - 10. Let s(q) = -4*q. Determine o(s(g)).\nAnswer: -2208*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -294580876?\nAnswer: 294580876.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 89*i**4\/24 + 14*i**3\/3 - 7*i**2 + 2*i + 3. Let q(h) be the second derivative of m(h). Differentiate q(f) wrt f.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7)*b)**(-3\/17)\/(b*b**0\/b*b**(1\/13)))\/((b*b*b**0)**33)**23 assuming b is positive.\nAnswer: b**(-2348816\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -411500 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4))**(2\/93)\/(j**(-1)*j)**19)**(5\/4) assuming j is positive.\nAnswer: j**(-10\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23437566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 5, -2\/11, 11 in ascending order.\nAnswer: -4, -2\/11, 0.1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-78)\/156)\/(6\/(-8) - 0). Let p = -4.8 - -2.7. Let d = p - 2.9. What is the third smallest value in d, h, -0.4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 885*u**4 - 1041 wrt u.\nAnswer: 3540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1105 + -609. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 192*g + 1560. Give b(-9).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = 5. What is the biggest value in -4, 0.3, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13444.133 + -13634775.867. Let o = u - -13648187.000052. Let s = o - -33. Round s to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 22*p. Let o(s) = 3*s**2 - 3*s + 877. Calculate o(t(z)).\nAnswer: 1452*z**2 - 66*z + 877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 + z - 2*z - 3*z**2 + 109*z**3 - 110*z**3 in the form c*z**3 + s*z + k + h*z**2 and give k.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1686826 + 3373697\/2. Let k be (-4)\/14 + 40\/42. Is v >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 1 + 1)*(-1 + 1 + 2 + (-1 - 1 - 4)*(1 + 1 + 0))*(-2 - 2 + 3 - 1 + 5 - 3 - 2 + 2 - 2 + (-3 - 2 + 4)*(-1 - 4 + 3) + 1 - 5 + 3) as x*u + v and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1. Let y(c) = -41*c + 78. Let u(t) = -3*m(t) + y(t). What is the derivative of u(f) wrt f?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 10. Let h be (-4)\/(-10) + 0 + (-528)\/110. Which is the second biggest value? (a) 1 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -18 + 11)*-1. Let d(z) = -44*z - 1. What is d(t)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -209683103, -419366208, -629049313, -838732418, -1048415523?\n\"Answer: -209683105*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81838812 to the nearest integer?\nAnswer: 9046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = 4*l - 317, 142 = -4*i + 5*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -581*c**2 - 69*c**4 - 2539*c**2 - 18590*c + 64*c**4 - 210*c**3 - 17170 - 15785.\nAnswer: -5*(c + 3)*(c + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/49)\/((-2)\/7). Suppose 5*b = u*b - 5*k + 19, -b - 3 = -3*k. Let j(p) = -p - 2*p + 2*p + 2 + p**2 + b*p. Give j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -6. Let n(s) = 5*s + 16. Let a be n(o). Let i(w) = w**2 + w - 1. What is i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llh when three letters picked without replacement from {h: 2, l: 2, x: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3003 + -12107\/4. Let g(s) = s**2 + 15*s + 33. Let b be g(-12). Find the common denominator of f and (b\/(-135))\/((-10)\/1335).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22512, 44987, 67546, 90189, 112916, 135727, 158622?\n\"Answer: 42*l**2 + 22349*l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 498*i = -494*i - 5, -5*r - 50 = -5*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11272742501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 12*b**2 + 10*b - 15. Determine o(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -5, -4, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13310982.\nAnswer: 2, 3, 19, 38921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(605) + -1))**2 + (sqrt(45)*-1 - sqrt(45) - (1 + sqrt(15)\/sqrt(3))).\nAnswer: -205*sqrt(5) + 5453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32\/45 - 2\/45. Let m = 1.12 - 3.12. Let k be 14\/8 + 1*-1. What is the closest to -0.1 in m, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 64. Let j be p(23). Let k(y) = 11*y - 17. Let h(b) = 7*b - 11. What is j*k(i) - 8*h(i)?\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -25 - 28)\/((-5 + 3)*(-26)\/(-208))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Suppose i = 4*i + 5*t - 26, 0 = -2*i + 3*t - 8. Suppose -3*x + 12 = -i*c - 0, -2*x = -8. Solve c = 4*s - h*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/3 - 9*p**2 - 10*p. Let r(k) be the first derivative of m(k). Calculate r(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**8\/14 + 7*i**4\/6 - i**3\/3 + 8*i**2 - 8. What is the second derivative of x(c) wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = f. Suppose -3 = n, -5*m + 4 = 3*n + 28. Let d = f + m. Let z(a) = -a**2 - 4*a. Calculate z(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 + k - 1. Let p(v) = -3*v**3 + v**2 + 7*v + 3. Let b(g) = 2*p(g) - 2*u(g). Factor b(i).\nAnswer: -4*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1092*p + 4360. Calculate v(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40800 at least -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*z**2 + 3631*z - 1826*z - 1819*z + z**2 - 4*z**2 to the form c*z**2 + n + x*z and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/3)\/(2\/(-22)). Let l(w) = w**2 - 12*w + 15. Let h be l(n). Find the third derivative of 3*p**2 + 0*p**4 - p**4 + h*p**4 wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, 7, 20, 33?\n\"Answer: 13*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) 0.3 (c) -0.4 (d) -2 (e) 7.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -34, 0.2, 0.07?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1510.7 + -1511. Which is smaller: c or -295?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -39*h + h + 19*h + 18*h - 1. Let s(o) = -o. Determine -2*l(r) + 3*s(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -3.74391\nAnswer: -1.497564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 16*b**5 + 164*b**4 + 408*b**3 + 316*b**2 + 56*b = 0.\nAnswer: -7, -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 5 (b) -56 (c) 1 (d) 3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.3. Let u = -2064.1 - -2067.1. Which is the nearest to u? (a) w (b) 3 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/13)*u*(u*u**1)\/u*u\/(u*u**(-2\/7))*u*u*u*u**(-1\/3)*u*u)\/((u**(-2\/3))**(-35)*((u*u**(-2\/11)*u)\/u)\/((u**8\/u)\/u)) assuming u is positive.\nAnswer: u**(-33862\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81849 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -6.1315\nAnswer: 61.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2537*i + 911 = -2125*i + 7915 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13506506 - 0?\nAnswer: 13506506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/28 and 97\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 2*j - 1. Let x be d(2). Let z be (-75)\/(-30)*(-8)\/(-110). Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -3, -59514.\nAnswer: -59514, -3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-3)\/(-8)). Suppose 4*d = -m + 46 + 6, z*m - 187 = 5*d. Suppose 0 = -4*o + 7*o - m. What is the remainder when 30 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 528118375 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (sqrt(833) + 0) - (sqrt(1088) + 2 - sqrt(1088) - sqrt(17)))*-1)**2.\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i + 17*i - 3*i**2 - 37*i + 14*i + 19*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -91*a - 2480. What is w(-25)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**18*h**(-4\/7)*(h*(h*h*h**(2\/7)*h*h)\/h)\/(h**(1\/6)*h) assuming h is positive.\nAnswer: h**(863\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.7 + -6. Let v = 32842241\/77 - 426515. Let t = v + -52\/7. What is the closest to -1\/3 in -1, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 1. Let y = u + -0.1. Let x be 48\/(-88)*1 + 111\/264. Sort y, x, 0.\nAnswer: x, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84372.\nAnswer: 2, 3, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.455982 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 308?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f. Let a be 14\/6 - (-8)\/(-24). Let g be ((-78)\/(-4))\/(a - 25\/20). Let q(j) = -51*j + 30*j + g*j. Determine q(l(c)).\nAnswer: -25*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5674193 is divided by 315232.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 20*o + 15*o + 23500263*o**3 - 23500205*o**3.\nAnswer: 58*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27238 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**6 - 158*v**5 - 19*v**4 - 12*v**2 + 2708 wrt v?\nAnswer: 120*v**3 - 9480*v**2 - 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3127512*h - 799 - 1563759*h - 1563791*h. Determine u(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4500809323?\nAnswer: 113, 39830171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*i - 19 = 0, 2*a - 1166*i + 22 = -1162*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 7. Let y be 6\/(-8)*(-8)\/2. Let j = -3 + y. What is the units digit of x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 8}. What is prob of sequence tt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 534900 and 1050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -52 (c) -1 (d) -0.1 (e) -659\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23, -0.06, 6944?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:30 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 267 = 4*j. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 + 0.16. Let m = k - -0.16. Let b = -41 - -24. Is b at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28434*o**3 + 33*o**2 - 3*o - 172?\nAnswer: -170604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 + 445*s**2 + 1808*s - 5388 = 0. What is s?\nAnswer: -6, 2, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 278459 to the power of 1\/2, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/5 - 12980016*r**2 - 519200544*r\/5 - 1038401024\/5 = 0?\nAnswer: -32450032, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -7*u**3\/2 + 439*u**2\/2 - 364*u - 122 = 0?\nAnswer: -2\/7, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*45\/(-6)*4\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let r(p) be the third derivative of 0*p + 1\/12*p**4 + 0*p**3 + z*p**2 + 0. Determine r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144.2 + 144. Sort -1\/10, 3\/2, h.\nAnswer: h, -1\/10, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2118231 divided by -69\nAnswer: -30699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4601, 36873, 124467, 295043, 576261, 995781?\n\"Answer: 4610*u**3 + u**2 - u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23000021 (base 4) to base 9.\nAnswer: 67732","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) 0.2 (b) -0.4 (c) -0.13 (d) -1\/8 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-442)*-26 + (1 - (-76)\/(-68))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + d - 2*d + 1)*(2*d**2 - 3 + 3) + 1962*d**3 - 1114*d**3 - 234*d**3)*(0*d - 2*d + d).\nAnswer: -612*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 0*o**3 - 5*o**3 + 2853 - 454 + 6*o**3.\nAnswer: o**3 - 5*o + 2399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g - 434*g**2 - 112*g - 58*g - 302*g wrt g.\nAnswer: -868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8886?\nAnswer: 2, 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15224796 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000903076 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q**4*r**3 + 22*q**4 - 2*q**2*r**3 + 130*q**2*r**2 wrt q.\nAnswer: 216*q*r**3 + 528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4 (c) -2 (d) 87\/7 (e) -15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1222110033023 - 11?\nAnswer: 1222110033012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 3*f + 45, 11*x - 14*x + 40 = -2*f for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvtvzpzspv. What is prob of picking 1 p and 1 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-2)\/6*(-21)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 - -3 - (4 + -2)*-1 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56286880 is divided by 18762293.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**10*l**(-18)\/l)\/((l\/l**(-2\/13))\/((l*(l*l**(-2\/41)*l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-15032\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -16, 73 in descending order.\nAnswer: 73, 6, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -224, -0.071, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4204 and 97\/16816?\nAnswer: 16816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201 + -189.3. Let m = 130555576.70000091 + -130555565. Let r = m - u. What is r rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3297*v + 382443. Determine t(116).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 + -6 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**(2\/9))\/s)**(-9)\/(s**(-1\/9)*s\/s**27))**(3\/16) assuming s is positive.\nAnswer: s**(43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 15) to base 3.\nAnswer: -222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + 0)*-1 + (sqrt(110)\/sqrt(180))\/sqrt(11).\nAnswer: -5*sqrt(2)\/6 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o - 510 + 510)*(-3 + 1 + 3)*(-4 + 2 + 1) in the form g + v*o and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((sqrt(1300) + (sqrt(1300) + (sqrt(1300) - 5*(sqrt(1300)*-2 - sqrt(1300))) + sqrt(1300) - sqrt(1300)) - (-5 + 1 + sqrt(1300)))*-3)**2*-1).\nAnswer: 36720*sqrt(13) + 10144332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 151764.\nAnswer: 151764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**4)\/w)**(-39)*(((w\/w**(-3\/5)*w)\/w*w)\/w)\/(w*w\/(w**4*w)*w) assuming w is positive.\nAnswer: w**(-762\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 35 = -q + 5*v - 36 + 84, 0 = -3*v - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3 + 2258*q**2 - 1274641*q = 0?\nAnswer: 0, 1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 1. Let c be (0 + 1\/(-2))\/1. Let y = 134 - 131. What is the second biggest value in x, c, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -28*q + 201. Let z = -714 - -709. Let s be p(z). Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = 3*t - 1, 9 = 2*t - 3*c. Let r be (1 - 7\/t) + 1. Is r equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - d)*(-24*d**2 - 716*d**4 + 24*d**2 - 66*d**4).\nAnswer: -1564*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171208.1 nanometers in micrometers?\nAnswer: 171.2081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/43))**(-1\/11)\/((u\/(u\/u**(2\/43)))\/u*u*u**(-4\/19)\/u*u) assuming u is positive.\nAnswer: u**(1512\/8987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 2 - u**3 - 9*u**2 + 4 + 2*u + u**2. Calculate c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 16*y + 30 = 0. Let j = 0.05 + -3.05. Let k = -832 + 833. What is the nearest to 4 in k, y, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1947\/4 and 487 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 415281257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 63*r**2 - 204*r + 4628. Give k(65).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 79*h**6\/24 + 17*h**4\/8 - 7*h**3\/6 - 504*h**2. Find the second derivative of n(u) wrt u.\nAnswer: 2370*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 7. Let c be p(-4). Let a be 1*(3 + -7 + c). Let q = 6 + a. What is the smallest common multiple of 7 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -391, -1061, -1729, -2395, -3059, -3721, -4381?\n\"Answer: h**2 - 673*h + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -670.74346 - 2174.79644. Let n = -2833.79 - f. Let s = n - 11.69. Round s to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c - 2. Let t be a(0). Let z be (-14 - 6) + (-1 - t). Let s = z + 24. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/11*n - 2\/11*n**3 + 4\/11*n**2.\nAnswer: -2*n*(n - 4)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 + 36 = 0. Let m = j + -21. What is the remainder when 9 is divided by (-2)\/m + (-280)\/(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + 0*m + 0*m)*(-1952*m**2 + 34*m - 35*m + 1963*m**2) to the form l*m**3 + h*m**4 + z*m**2 + y + i*m and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10*o**3 + 6*o - 4. Let s(m) = 9*m**3 - 5*m + 3. Determine 4*s(l) + 3*v(l).\nAnswer: 6*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i - 1. Let m(l) = -l**2 - 550*l. Give c(m(j)).\nAnswer: -4*j**2 - 2200*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1768 = -17*m + 25*m. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 25 + 34 = 0, 0 = 2*j - 2*c - 16. What is the smallest value in j, 2, -4\/47?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 21.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*(-5)\/(-15))\/(-1). Let h be (-3)\/(-10)*11\/((-18249)\/28). Is h not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:21 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 3\/(12\/(-56)). Does 9 divide (2 - -34)*x\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 5 - k**3 - 7*k**2 + 7 - 5 - 1. What is the units digit of j(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555570 (base 12) to base 11\nAnswer: -847825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51136381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -528 - 58*v + 2*v**4 + 0*v**2 + 262 + 0*v**2 - v**3 + 265 to the form f*v**4 + j*v**2 + h*v + k*v**3 + o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041233 rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 2*y - 56 = -9*t, 0 = 3*y - 0*y - 5 - 7 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -729*s - 3. Let j(c) = 3687*c + 16. Determine 11*d(z) + 2*j(z).\nAnswer: -645*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -121133 (base 4) to base 2\nAnswer: -11001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (3 - 5) - (4 + -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 divided by -11?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/808 and -73\/3620.\nAnswer: 731240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 3*c + 3*c)*(-60*c + 28*c + 15 + 31*c) in the form z*c**2 + i*c + f and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2559 + -3?\nAnswer: -255c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-30))\/((-3)\/15). Let s = -1 + 3. Solve s*k + 4 + b = f, k = 5*f + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13393\/5 + -2679. Let j = -4 + -1. What is the nearest to j in y, 0.2, -2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.64 + 0.36. Let z = v - 10.1. Let b = 0.08 - -2.92. Put 0.1, z, b in ascending order.\nAnswer: z, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5029150 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-3 + (-27)\/(-6). Let x = -35 - -39. Suppose 0 = x*s - 7 + 11. What is the third smallest value in s, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 99 = -35. Solve 17*y - 13 = k*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -3 - m + m**2 + 1\/6*m**4 + 0*m**3. Let y(l) be the first derivative of z(l). Differentiate y(r) with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/7 - 115246*c\/7 + 1152260\/7 = 0. What is c?\nAnswer: 10, 57613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.075 + 0.495. Let z = n + -0.57000029. Round z to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366 times 9445.74\nAnswer: 3457140.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*4*31\/(24180\/4225)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - d**2 + 5*d**2 + (3*d**2 - 8*d**2 - 4*d**2)*(3 + 1 - 2) to the form m*d**2 + b + q*d and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4381849 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 19) + -13 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/16)\/(2\/4). Let h = s + 19. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 + -253. Let v = a - -104. What is the second smallest value in 0, v, -0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0116 + -0.0429. Round z to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*w = -0*p - 217, -4*p = -4*w - 252. Let g = -64 + p. Solve -4*o = g*s - 2*o + 18, 2*s - o + 5 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -281 + 483. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/3))**15)**35 assuming t is positive.\nAnswer: t**700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 18*p + 1. What is v(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 - -82. What is the tens digit of 0 - (y - 4\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 5 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93408 and 1009696?\nAnswer: 21203616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 8*j - 7. Let y be s(5). Suppose -3*i + y = -i. Sort -5, i, -2 in increasing order.\nAnswer: -5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, y: 2, n: 2, h: 1}. What is prob of sequence ln?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/21*((-364)\/(-48))\/(-13).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 638517880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39233, 39231, 39241, 39269, 39321, 39403, 39521?\n\"Answer: k**3 - 9*k + 39241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -17. Solve -4*d - 31 = 3*b, b + b - w*d = 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-435 + 71*k**2 + 435)*(2*k - 3*k - k)*(-2*k**2 - k**2 - 3*k**2).\nAnswer: 852*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 1, s: 1, j: 1, k: 2, i: 1}. Give prob of picking 1 i and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z**2 + 200*z + 986. Calculate m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-33537104\nAnswer: 10061131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -14115, 3, 4, 1, -2 in descending order.\nAnswer: 225, 4, 3, 1, -2, -14115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 5 = 3*s. Let l(b) = -1 - 2 - 4*b - 4 + 5*b. Let x be l(9). Sort s, 8, x in increasing order.\nAnswer: s, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**2 - 2. Let q(m) = 148 - 211 + 63 + 17*m. Calculate g(q(n)).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - 4 - 1) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -1935, -4165, -7227, -11115?\nAnswer: -15823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. What is the least common multiple of 8 + 2 - (7 + -11) and ((-36)\/14)\/(u\/7)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*h**3*p**2 - 6996713*d**3*p**3 + 2*d**2 + d*h*p**2 + d*h*p + 3*h**3*p**3 - 1773*h**3 + 4*h**2*p**3 wrt d?\nAnswer: 6*h**3*p**2 - 41980278*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10400*j - 50. Let y(x) = -612*x + 3. What is 3*c(s) + 50*y(s)?\nAnswer: 600*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2624 + -2224. Calculate the least common multiple of c and 560.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16*1\/1)\/(-1). Suppose -3*h + 88 = 3*k - 5*k, -115 = -5*h - 3*k. Let s = a + h. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2838*h - 193*h = -582*h + 53878 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 31*g + 24. Let t(l) = -2*l**2 - 11*l + 11. Let x be t(g). Solve -x = -0*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3 - 610405*n**2 + 8544935*n - 29906415 = 0. Calculate n.\nAnswer: 7, 122067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 p when four letters picked without replacement from pooopooo.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252081.26 rounded to the nearest 100?\nAnswer: 1252100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -31. Let t(z) = 7*z - 11*z**2 + 18*z**2 + 1 - w*z. Let y(g) = 6*g**2 - 5*g + 1. Let u = -475 + 479. Give u*t(a) - 5*y(a).\nAnswer: -2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 108.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 84093 - -14b?\nAnswer: 84222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 6 + (10 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7294)\/30 + 32\/240. List the prime factors of -1615*(a\/45)\/9.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.05273?\nAnswer: -0.005273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*9\/(-81))\/(4\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ea5 + 9?\nAnswer: -1e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.727 - -0.127. Let i = y + 1.6. Which is the biggest value? (a) -0.4 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -16*z - 55. What is the remainder when a(-11) is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 13062.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -1\/15*j**3 + 0*j**2 + 1 + 0*j. Factor s(l).\nAnswer: -l**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l - 3. Let g(p) = -163576*p + 3. What is g(o(h))?\nAnswer: 1145032*h + 490731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 4352.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, b: 4}. Give prob of sequence biib.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-24))\/((-1)\/4). Suppose -4600115 = g*r + 2029885. What is r rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 4\/3 (c) -1 (d) -8462\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1656 and -1656 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/30 + j**4 + 131*j**3\/6 - 13*j**2 - 1. List the prime factors of m(-29).\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22772, 22799, 22844, 22907?\n\"Answer: 9*c**2 + 22763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2674804 by -682.\nAnswer: 3922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-424)\/265)\/(-8)*-450\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211632148.\nAnswer: 2, 31, 9771227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 46.8, 3, -0.18, 2\/19 in decreasing order.\nAnswer: 46.8, 3, 2\/19, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69266 + 25.\nAnswer: -69241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(2\/43)*v\/v**(-32)*(v*v\/(v*v\/(v**(-2\/13)*v)))**15 assuming v is positive.\nAnswer: v**(26127\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 134*o + 98. Let j be p(18). What is the third derivative of -46*s**6 - 26*s**6 - j*s**2 + 2553*s**2 wrt s?\nAnswer: -8640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 67*l - 751. Calculate u(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -90, 3, 13 in increasing order.\nAnswer: -90, -5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*r**2 - 2006 + 2*r**3 + 2006)*(-2 - 2 - 3).\nAnswer: -14*r**3 + 252*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10470*c**2 + 31417*c**2 - 10479*c**2 - 10469*c**2. Let l be (-2 + 4)\/((-2)\/(-9)). Let d(i) = l + i + 24 + 19 - 3*i. What is d(u(w))?\nAnswer: 2*w**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*x - 2 - 3*x as v*x + f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 4. Let d be f(-3). Suppose -s + 43 = 5*l, l - 364 = -5*s - 101. What is the remainder when s is divided by d + 21 + (-4 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77848 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 24*b**3 + 5955*b + 4*b**2 - 7 - 5951*b - 26*b**3. Determine c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29072 - 18424. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85642, -85639, -85646, -85669, -85714, -85787, -85894?\nAnswer: -86041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 44380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**7\/105 + 8233*f**6\/120 - 2151*f**4\/4 + 4048*f**2. Find the second derivative of y(l) wrt l.\nAnswer: -24*l**2 + 49398*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3104 and -2516907.\nAnswer: -2520011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 353575 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, -269, -725, -1363, -2183?\n\"Answer: -91*x**2 - x + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Let k be (-1)\/(-1) - l\/2. Are 1 and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10 + 4*y**2 + 18 + 2*y - 9. Let i be d(1). Suppose 5*z - k - 44 = 0, k = -z - 1 + i. Is 9 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72943.09 kilometers?\nAnswer: 7294309000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x + 24. Let p = 32 + -38. Calculate the remainder when 15 is divided by j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:38 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 3. Suppose -2*h - 2 + 6 = 0. Suppose h*d - s + 33 = 0, -d + 5*s = -0*s + 39. Does 13 divide g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5730*c**2*q**2 + 7*c**2 - 3*c*q**2 + 897*q wrt q.\nAnswer: 11460*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -199*p - 1 + 569*p - 193*p - p**2 - 6*p**3 - 200*p as r*p**3 + i*p**2 + j + h*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2265859 to the nearest ten thousand.\nAnswer: 2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334724765 by 8485.\nAnswer: -39449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4288*q + 2695812 = 4355*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppx when three letters picked without replacement from pppppppppxpx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33448423.\nAnswer: 2741, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192167913 to the nearest integer?\nAnswer: 13862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -849 + 915. What is the highest common divisor of 297 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/10 - i**4 - 2*i**3 - 7*i**2\/2 - 8*i + 2. Let h be a(-5). Solve 5*g - h*s = -s - 18, -3 = 3*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3*4\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*n + k + 3*k, -2*n - 2*k = 14. Let t = 3 - n. What is the remainder when 44 is divided by (-203)\/(-28) + t\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12709.000040732 - 12709. What is l rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*m**3 + 8*m**3 - 11*m**3)*(1 - 5 + 1)*(-8*m - 22 + 22) as p*m**2 + d*m**4 + c + h*m**3 + j*m and give d.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-3 + (1 - 14) + 10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 2, -15, -3 in descending order.\nAnswer: 4, 2, -3, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*i - 2 = 5, -2*s + 3*i = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 - -56. Let t = 197.2 - p. Put t, -4, 5, 0.4 in descending order.\nAnswer: 5, 0.4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/4? (a) -83 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 79\/2 - (-4)\/(-8). Round j to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptepppllnlpllx. Give prob of sequence ne.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, y: 2, o: 4, s: 2, n: 7}. Give prob of picking 2 s and 2 o.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - 2fcd1c?\nAnswer: -2fccf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 2\/19 (c) 1\/332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3204*w**3 + 5 - 1 - 1 - 1591*w**3 - 1601*w**3.\nAnswer: 12*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 90957 = -526563. What is j rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.096621t to grams.\nAnswer: 6096621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.3, -987, 4, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12 and -5 + 4 + (-207)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 11*b\/2 - 14.\nAnswer: -(b + 4)*(b + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5, 32 + 95 = -4*u - 5*s. Let f = -72 - u. Calculate the common denominator of -41\/6 and 5\/(-10) - f\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/10 + 4\/10. Let m be (1\/3 - 1)*-3. Suppose 0 = 2*g - q - 3, g + 3*q + 6 = q. Sort m, u, g in increasing order.\nAnswer: u, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0, 4, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 700 and 4172?\nAnswer: 104300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 19 = -5*z. What is the smallest common multiple of 20 and z?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -14. Suppose -3*o + y + 1 = 0. Solve 6 = -2*r - 0*r - 2*f, 0 = 5*r - 2*f + o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 8. Let l = -3 + r. Suppose -4*i + 20 = -2*b - b, 2*i - l*b - 10 = 0. What is the highest common divisor of i and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**6\/24 + 3*v**4\/16 + v**3\/6 + 100. What is z in j(z) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165110 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**18)\/o**(-2\/9))**10 assuming o is positive.\nAnswer: o**(-1510\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197 + 276. Let i = m - 47. What is the remainder when i is divided by 24 - 2 - (7 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 12, 5, 2\/7, 0.05?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1526.999999557 + -1527. What is x rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6172584455 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + (-1 + sqrt(288) + -2 - sqrt(288))*3 + 2)*2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -112*j - 25. Let y(b) = 121*b + 23. What is -6*w(o) - 5*y(o)?\nAnswer: 67*o + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f*s**3 + 3*f*s + 3*f + 13*s**5 wrt s?\nAnswer: -66*f*s + 260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 130 = 2*v, 0*s + 2*s + 70 = 2*v. Let d = 56 + s. Suppose 2*q - d = 4*i - 5*i, -4*i - q + 125 = 0. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let l be 0\/(-1) + s\/4. Let i = -629 - -632. Put i, l, 1 in decreasing order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 17 = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*f + 1717, -3*f - q = 3*q - 1726. Solve -556*i**3 - 80 + 224*i - 264*i**4 - 100*i**5 - f*i**4 + 218*i**4 + 268*i**2 = 0 for i.\nAnswer: -5, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -2*r**7\/21 - 2*r**6 + 51*r**5\/5 - 53*r**4\/3 + 12*r**3 - 14775*r. Factor s(p).\nAnswer: -4*p*(p - 1)**3*(p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 5*n - 172 = 32*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 383091437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (5 + -20) - ((0 - 5) + 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -364115 or -20.8?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 + 204 = 69*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 3*h - 3. Suppose -13*d + 3335 = 16*d. Suppose -27*c = -d - 20. Give q(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(13) - sqrt(39)\/sqrt(3) - sqrt(13)))**2 - (sqrt(91) - sqrt(91)*-2)\/sqrt(7)) + 2.\nAnswer: -3*sqrt(13) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 25 + 951 + -979 - (-71 - 1).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(c**2 + 0*c**2 - 3*c**2) - c**2 - 3 + 386258248*c - c**3 - 3*c**2 - 386258341*c.\nAnswer: -5*c**3 - 4*c**2 - 93*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3478018 is divided by 4990?\nAnswer: 4978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.06 (b) -4\/5 (c) -1 (d) -10765 (e) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**3 - t**2 + 42*t + 0*t**3 - 47*t - 9 - 6*t**3. What are the prime factors of m(-3)?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -15, -18, -21, -24?\n\"Answer: -3*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*b**2 + 131*b**2 - 52*b**2 - 38*b**2 + 405*b**3 - 99*b**3 as t*b**3 + z + s*b**2 + m*b and give t.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1 + 0)\/2. Let n = -510 - -297. Let d = n - -207. What is the closest to 2 in d, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 925 and 255004.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*z - 25, 3*x + 0*z + 13 = 2*z. Sort x, -0.1, -0.4 in decreasing order.\nAnswer: -0.1, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 126, 283, 506, 795, 1150?\n\"Answer: 33*b**2 - 8*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 - 3*z**2 - 6*z + 11. Let o(i) = -10*i**3 - 5*i**2 - 11*i + 20. Give -5*b(a) + 3*o(a).\nAnswer: -10*a**3 - 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/10)\/((-2)\/10). Let v be 0 + ((-186)\/o - 3). What is the highest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(121) - sqrt(121))*5 - sqrt(121)) + sqrt(121))\/(1*sqrt(891)))**2.\nAnswer: 275\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(-2\/5)*u*u)\/u)\/u*u)**18*u\/(u*(u**(-7)*u)\/u)*(u**(2\/5)*u)\/u*((u**(3\/8))**35)**40 assuming u is positive.\nAnswer: u**(2806\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 72525828.\nAnswer: 362629140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.39 + 17.29. Let x = w - 23.8. What is x rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20849 = -625*a - 424*a + 67267 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, r: 7, a: 5}. What is prob of sequence rdr?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64.2 + 64.4. Which is the closest to 0? (a) m (b) 1 (c) 14 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5694 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/2 + m**3\/3 + m**2 - 2*m. What is the remainder when 5\/((-2)\/(-68)*(4 - 2)) is divided by v(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 7*h**4\/24 - 9*h**3\/2 - 9*h**2. Let c be g(6). Suppose -72 = -3*m - c. What is the remainder when m is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 612*u - 607*u - 835 = 0, 4*p = 2*u + 674. Calculate the remainder when p is divided by 49.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18074744 divided by 13529.\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 - 10686850*z - 10686855 = 0. What is z?\nAnswer: -1, 2137371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:58 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-30)*(-3)\/84)\/(222\/7252)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 + -1 - 1. Let v = -57 + 63. Let y = v + x. Solve -2*c = -y*h + 7, 3*h - 3*c - 9 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 equal to 688\/353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-60))\/(89\/(-534)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15503 is divided by 15501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*j**2 + 3*j + 249*j**2 - 131*j**2 - 12 - 5*j - 4*j**4 + 6*j**4 to l*j + q*j**2 + a*j**3 + m + r*j**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:52 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -497, 2\/7?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 2:55 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (318*r**2 + 14718 - 14718)*(-4 + 4 - 17*r) in the form l*r**3 + g + n*r + v*r**2 and give l.\nAnswer: -5406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 86602789 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: What is 687 minutes before 5:09 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400441, 800901, 1201361, 1601821, 2002281, 2402741?\nAnswer: 2803201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98865\/946 - -209\/2. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/180*(2 - (-2)\/(-2))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 10*p + 200. Suppose 4*k + 3*g = 1226, 3*k - 2*g - 1028 = -p. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18124443 at most as big as 18124443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -130*w**2. Let t(h) = 4*h. Let q(a) = 2*a. Let m(x) = 3*q(x) - t(x). Calculate v(m(y)).\nAnswer: -520*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8374 - 8381.238. Let w = 5.19 + u. Let h = w + 2. What is h rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 + (-6 - -15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from ucupkpupuu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, 18, 4 in decreasing order.\nAnswer: 18, 4, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 times -0.2?\nAnswer: 106.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 43936 + 42503 = 2163. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2141 + 757*b**2 + 2141 + 2*b**2 + 4*b**2 - 3*b**2 + (2*b - 2 + 2)*(3*b - 2*b + b) + 0 + 0 - 2*b**2 + 5*b**2 + 0*b**2 - 2*b**2.\nAnswer: 765*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 78965.63l in millilitres?\nAnswer: 78965630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -9, -2\/9, -1183, 4?\nAnswer: -1183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*g - 772 + 772)*(0*g**2 + 0*g**2 + g**2).\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 9436.\nAnswer: -11\/9436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {p: 4, r: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858*v - 629*v + 1223*v + 899*v.\nAnswer: 2351*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i. Let c(f) = -3*f. Let m = -4 - -9. Let o(s) = m*b(s) - 4*c(s). Let g(q) be the second derivative of q**3\/2 + 12*q. Give g(o(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63079421053\/62250160 - -1\/8892880. Let f = -1011 + h. Let i = f + -18\/7. Which is the nearest to i? (a) -0.07 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 256*a**2 - 4*a + 5. Let r(m) = -1277*m**2 + 20*m - 27. Give -11*h(x) - 2*r(x).\nAnswer: -262*x**2 + 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5520 and 3840?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 4264.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 11*f**2 + f + 6. Let l be -2 + (-1 - 12) - -4. Let s be j(l). Is s <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 1\/420*v**6 + 0 - 2*v**2 + 0*v + 1\/735*v**7 - 1\/84*v**4 - 1\/210*v**5 + 0*v**3. Factor c(h).\nAnswer: 2*h*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o**2 - 2*o)*(-5*o**3 + o**3 + 2*o**3) + (o**4 - 4*o**4 + o**4)*(-4 + 4 - o)*(-5 + 4 + 4).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/8 - 17*q**2 - 925*q\/2 + 8214 = 0?\nAnswer: -74, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7? (a) 0 (b) 95 (c) -13\/6 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmf. Give prob of picking 1 g and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-16)\/12)*-2. Suppose b*l - 7*l = -232. Suppose -n = o - 31, 6*n - 8*n - l = -2*o. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -360189 * 0.5.\nAnswer: -180094.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzzlzvzvlzz. Give prob of picking 2 z and 2 v.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -l + 1485, 0 = -3*m - 2*l + 511 + 1717. What are the prime factors of m?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*b + 3*b**2 - 10*b + 29*b to n + z*b + t*b**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*q, -3*r + 4*q = 2*q - 197714. Let k = r + -24647431\/374. What is the common denominator of k and -109\/14?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*p + 3. Let v be 4\/(-14) - p\/(-7). What is the common denominator of (-5)\/((-150)\/117) - v and -139\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/15)\/(1\/5) - -1678. What is z rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2720 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -27*r**2 - 324*r - 10. Determine v(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 5*d**2 - 2*d + 5. Let z be s(-5). Let l(g) = g**2 + 2*g - 74. Let c be l(-10). Is 992\/20 + c\/z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*x + 77*x + 28. Let i(y) = -4*y + 2 - 2. Let s(c) = c. Calculate x*i(r) + 11*s(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26829841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-4) - ((-2730)\/24 - 5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + y**2 + 0*y**2 + 16 - 16 - 10*y**2 + (5*y + y - 4*y)*(-2*y + 4 - 4) - 2*y**2 - 2*y**2 + 2*y**2)*(5*y - 4*y - 6*y)*(0*y - 4*y + 2*y).\nAnswer: -180*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, t: 10}. Give prob of picking 4 t.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18118901 is divided by 4150.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 3 + 5 + 0. Let z be b(-4). Let u = -2 - z. Solve u = -0*m + m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/93, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103905 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 5256 = -197*p + 44*p for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + 1 + (-36 - (45 - 83))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 81658*x - 4240808.\nAnswer: -2*(x + 52)*(x + 40777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10223947 to 3 dps.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 40624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7491?\nAnswer: 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4471459.\nAnswer: 17, 83, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 280.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 + 129 + n - 298)*(3 + 0 + 0).\nAnswer: 3*n - 177","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*j**2 + 5*j**3 + 42*j**2)*(-3*j + 0*j + 6*j) - 3*j**4 + 5*j**4 - j**4 + j**4 + j**2 - j**2 as f*j**2 + m + i*j**3 + s*j**4 + b*j and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2809 + 2762.218. Let y = d + 45.7. Let j = -0.082 - y. Which is the second smallest value? (a) -5 (b) 3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 8*u - 551 + 503. What is the fourth biggest value in 0.5, u, 40, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125 + 1065?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 4*f - 8, -3*v + f = 124. Let q = 46 + v. Solve -4*z = 4*s + 11 + 21, -q = z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 40. Suppose -2*g = -a - 0. Let s(m) = -2*m - 1. Let w(u) = 9*u + 7. Let r(d) = d + 1. Let o(n) = -5*r(n) + w(n). Calculate g*s(v) + 2*o(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -25, -99, -233, -445, -753?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*r - 3*f - 1, -2*r - 21 = 5*f. What is the second derivative of -2*d**r + d + 4*d**2 - 3*d**3 - 2*d**2 wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m - 8*m - 1904 = -71*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8*g + 2. Let m be q(-1). Let j be (-3 - (-28)\/16)*m\/15. Factor j*t**4 - t**3 + 4*t - 2 - 3\/2*t**2.\nAnswer: (t - 2)*(t - 1)**2*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 534\/50*(-199788)\/72. Let f = -29637 - t. Calculate the common denominator of f and -23\/22.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 2. Let c be s(-4). Let x(p) = -2*p**2 + 63*p**3 + 6 - p - 4*p - 64*p**3 - 5*p**2. Give x(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5291*s**3 + 4*s**2 - 4*s**2.\nAnswer: -5291*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 3*m - 3. Let l = 2 + 3. Let g = l + -3. What is b(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269897*l - 539799*l + 269902*l - l**3 - l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2813, -5465, -8117, -10769, -13421?\n\"Answer: -2652*k - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67657189 and 5317?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 631*u - 1 + 467*u + 1 to v + k*u and give k.\nAnswer: 1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/12)\/((-6)\/(-27)). Is (-31)\/j*(-2 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 524244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14004, -3\/5, 4, 280, -0.2?\nAnswer: 14004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 + 6656*l - 40080 = 0. What is l?\nAnswer: -1670, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 285.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9553*t + 691. Is b(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.17754 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 133326, 133407, 133490, 133575?\n\"Answer: w**2 + 78*w + 133247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.4 + 11. Let g = -2 - l. Put -1, 0, g in decreasing order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -43 - 33 - a - 32 + 108. Let g = 0 - -2. Let t(n) = 4*n**2 + n**2 - 3*n**g. Calculate o(t(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 - -12404?\nAnswer: 12346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 1 d when three letters picked without replacement from lzdhuzg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -7 - -1)*-1. Let l = -1 + o. Calculate the greatest common divisor of l and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 2022101222012?\nAnswer: -2022101222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -2847, -6413, -11405, -17823, -25667?\nAnswer: -34937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66581199 a multiple of 4283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6843 to 2 decimal places.\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 12*v**5 + 8516*v**4 - 132556*v**3 + 611148*v**2 - 546992*v - 1299200 = 0.\nAnswer: -725, -1, 4, 16\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195*i**3 + 101*i**2 wrt i.\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2198 + -2186. Calculate the smallest common multiple of 468 and y.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 43*t**3 - 34 - t**2 + 3*t**2 - 9*t**3 to v*t**3 + o + z*t**2 + a*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 641*b + 638*b - 4 = 0, q + b + 1 = 0. Let p = 613\/2964 + -11\/78. Is q >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3) + -1 + 7. Suppose 0 = o*a - 2*a + 6. What is the units digit of a\/(-2)*9\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/98 and 71\/2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 326 + -180. List the prime factors of s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + y - 1. Let w(o) be the third derivative of o**5\/20 - o**4\/12 + o**3\/3 + 5*o**2. Give -2*k(b) - w(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*j - 1014*j - 24190 - 46850 = 817*j for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -181*x - 1062. Determine r(-5).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5 - 642*f**4 - 26838*f**3 - 159742*f**2 - 133548*f = 0?\nAnswer: -31, -6, -1, 0, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + (-5 - 8))*-157. Suppose 0 = -0*p + 3*p - l. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496094 is divided by 2158.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*p**2 - p**3 - p**3 + 35*p**2 + 3*p**3 + p**3 - 3*p**3 + (90*p**2 - 29*p**2 + 15*p**2)*(3*p - 5*p + p) to a + x*p**2 + l*p**3 + b*p and give l.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 137 divided by 2111\nAnswer: 137\/2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 199\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 5*p - 5*p + 2*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 7*q + 10 = 3*d, 4*q = 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0 - 1\/20*n**5 + 1\/2*n**3 - 2*n**2 - 1\/12*n**4 + 3*n. Calculate h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3457 + 3466. Calculate the greatest common factor of 2097 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 + 65.07. Let c = w + -108. Let d = 43.0000017 + c. Round d to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 63*b**3 - 2*b**2 + b - 4. Let z be x(4). What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-2)*(-31234)\/2134)\/14.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 3 - 14\/(112\/(-252936)). What is g rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.27 + -0.13. Let q = j - 2.14. Let y = 128\/603 + 2\/201. What is the second smallest value in 5, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 1*(-5780 + (-3 - -6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(4\/1))\/(50\/(-25))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 0 + 0)*(-387 + 232 + 207) + (0*f + 4*f - 3*f)*(-2 + 2 - f) - 2*f**2 + f**2 - 2*f**2.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a - 55 = 2091. What is the remainder when 149 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2360794 <= -2360806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -48 - 118 - (-28 + 1).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -508 divided by -4.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 769015, 769004, 768993, 768982, 768971?\nAnswer: 768960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 306*m - 11898. Calculate n(262).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/60 - y**4\/2 - 15*y**3\/2 - 26*y**2 - 2*y. Let a be o(15). Factor -2\/9*w**5 + 0*w + a + 2\/9*w**4 - 2\/9*w**2 + 2\/9*w**3.\nAnswer: -2*w**2*(w - 1)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/720 + z**5\/120 + z**4\/12 - z**2. Let p(d) be the second derivative of m(d). Let s be p(3). Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:19 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/8 - 15*o**4\/4 - 17*o**3\/4 + 23*o**2\/2 + 33*o\/8 - 31\/4 = 0 for o.\nAnswer: -2, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 9\/(-42))*170\/255. What is the closest to v in -0.1, 5, 10, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1)*p)**(-13)\/((p**(-5\/2)\/p)\/(p*p\/p**(1\/8)*p)) assuming p is positive.\nAnswer: p**(-261\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 4*q + 152, -7*v - 385 = -11*v + 114*v - 0*q + 5*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26543943 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22328 or 22327?\nAnswer: 22327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2*b**2 + 2*b + 1. Let i be g(-1). Let p(a) = 4*a - i*a + 7*a. Let q be p(1). Solve -4*n = -q*n - 5, n - 8 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:51 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-216)\/84)\/9)\/(6\/14)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 111.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60.086 - 60. Let d = 0.041 - f. Let w = d + 18.345. Round w to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 853 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184977912 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2. Let w(l) = l - 4. Let b(i) = 5*d(i) - 2*w(i). Let j(h) = 3*h + 1. Determine 4*b(n) + 3*j(n).\nAnswer: n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -23. Suppose 0 = -u + 4*t - 10, 5*u - 3*u - 3*t + 10 = 0. Let b be w\/3*795\/u. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10881434 and 15822?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12637625 and 8133125.\nAnswer: 821445625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9.41 - 482\nAnswer: -491.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*l - 65*l + 157*l + 61*l in the form d + j*l and give j.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 6*w**2 + 5*w + 2. What is the smallest common multiple of 22*((-8)\/(-336) - 22482\/(-8316)) and v(4)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*i**2 - 43*i**2 + 46*i**2)*(410 - 410 + 32*i)*(-i - 2*i + 2*i) to z*i**2 + u + x*i + c*i**3 + p*i**4 and give p.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(1\/6)*m**5*m)\/(((m**(-2\/13)*m)\/m)\/((m\/m**(-1\/11))\/m)))\/(m**(3\/2)\/m**4)**(-41) assuming m is positive.\nAnswer: m**(-40364\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 4*l**2 - 7*l - 16. Let v be p(-5). Let s(w) = w + 0*w + 2 - 2*w - 5. What is s(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 3*o**2 - 751*o + o**2 - 2*o**3 + 15*o**3.\nAnswer: 10*o**3 - 2*o**2 - 751*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = t - 5*r, -4*t + 3*r + 2 + 1 = 0. Suppose -t*u + 2*u = -1. Suppose 3*i = -u + 10. Solve 15 = -i*y + 8*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54535 divided by 4195.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -472*o + 756*o - 4544 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -112.339 > 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191434721 to the nearest integer?\nAnswer: 13836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52359723 and 3.\nAnswer: -52359720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/131 greater than 297\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 22932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:14 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 3*l**2 + 5*l - 6. Let i(a) = -a**2 - 11*a + 4. Let t be i(-11). Let o be k(t). Find the common denominator of -103\/10 and 71\/o*(13 - 12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2491378450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, x: 2, g: 5}. What is prob of picking 1 x and 1 l?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 0.049 (c) -0.4 (d) 72 (e) 2\/3 (f) 0.082\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*j\/(j*j*((j*j*j*j*j**0*j)\/j)\/j*j)*j*j))**(-19)*(((j*(j*j**(4\/3))\/j)\/j)\/j)**(-42))**25 assuming j is positive.\nAnswer: j**(-1775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -530 - 17*k - 184*k + 530 to p + l*k and give l.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51958 and 11505254?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34022916 is divided by 17011452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 27057 = -3*q + 2*x, -27015 = -3*q - 5*x. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 3. Let k be 1*12 - (-3 - -4). Does 14 divide m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*z - 73*z + 280. Is 56 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 157 - 151 = -11*h - 241, -4*h + 5*r + 3 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**3\/3 - 3*z**2 - 3*z. Suppose -2 = -c - 10. Let m(h) = -h + 4. Calculate c*m(j) - 5*o(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 10. Let g(f) be the third derivative of f**4\/24 - 11*f**3\/6 + 15*f**2. Let k(y) = -2*g(y) - 3*m(y). Is k(22) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 3. Let q = 7 - 4. Suppose 0 = -3*p - q. Let r be u(p). Solve 1 = -r*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6397*f + 958. Let k(p) = -2132*p - 320. Let x(z) = -3*b(z) - 8*k(z). Differentiate x(n) with respect to n.\nAnswer: -2135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1511328783 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1380 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 4. Let v(s) = -s + 2. Determine 5*v(g) - 2*y(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - (8 + -5 + 2). Solve -k + 3 = 4*s - 2*k, 5*k = z*s - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 + 9648*m - 259038 = 0. Calculate m.\nAnswer: 27, 4797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16569963311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6 and 2\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5.7*1.95\nAnswer: -11.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 96 = -3*w. Solve -3*t - 2*g = -t + 4, -2*g - w = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2409070 and 1956190?\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 23 - 1. Suppose -2*i = -4*a - a - g, -a - 4 = 0. Suppose -20 = -i*x - 2*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 2*b**2 - 7*b - 2. Let v(l) = 4*l - 47. Let z be v(12). Let y = z + 3. Let s be t(y). Solve -i + 2 = -s*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, m: 3, f: 1}. Give prob of sequence ooo.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 2*s**4 + s**4 + 2*s**4 - 3*s**3 + 2*s**3 to y*s**3 + f*s + r*s**2 + m + t*s**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*128\/56?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10566 and 15262.\nAnswer: 137358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16654.85 times 0.2?\nAnswer: 3330.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 3 + -1 - (-458 - -446).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 - 3*v - 4. Let s(a) = -a**2 + a - 1. Let t(k) = d(k) - 6*s(k). Let f = -79 + 97. What is the least common multiple of t(9) and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c**3 + 32 - 32)*(472317 - 472317 - 5640*c) to the form w*c + b*c**3 + r*c**2 + x + d*c**4 and give d.\nAnswer: -50760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -31*g**3 + 217*g**2 + 309*g + 19. Give y(8).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10260989 + 4?\nAnswer: 10260993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, e: 1, b: 2, c: 3, j: 1, l: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210893.1 decades to months.\nAnswer: 25307172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60109843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1094 + -1094.04. Let r = 23\/2 + -249\/22. Which is the nearest to 0? (a) -2 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from ubvuvvwvvwrvuuu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 1100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let x(z) = 3 + 6*z - 3 + 0*z. Let l(u) = 4*i(u) + x(u). Let c(v) = -7*v**2. Determine l(c(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1599 divided by -2\nAnswer: 1599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137585*j**3*o**2 + j*o**2 - 368*j - 3*o**2 - 14*o + 2 wrt j?\nAnswer: 825510*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38345, -76695, -115045, -153395, -191745, -230095?\n\"Answer: -38350*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + c. Let v be p(-1). What is the third biggest value in 1\/8, v, 2\/13?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35161077 + -1?\nAnswer: -35161078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 768338 by 384169.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80 - 5*a + 80)*(-4*a + 10*a + 0*a) to y*a**2 + q + m*a and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2313*m - 820*m**2 + 821*m**2 + 507*m + 1 to the form a*m + r + q*m**2 and give a.\nAnswer: -1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5334 = -1164. What are the prime factors of (-2)\/((-12)\/(-9))*h\/9?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 7 (b) 77 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + -27 + 26 + 35.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)*j)**(-2\/25)\/(j**6*j**(-3\/4)) assuming j is positive.\nAnswer: j**(-743\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -1\/2*s**6 + 5\/4*s**4 - 1\/4*s**5 + 0*s**3 + s + 98 + 5\/42*s**7 + 0*s**2. Find a such that u(a) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1058\nAnswer: 423.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y**2 - y - 82. Let k be o(0). Let a = k - -79. Sort -4, a, -2 in descending order.\nAnswer: -2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*v - 9*v**3 - 2*v**4 - 75*v + 7*v**3 as q*v**3 + i*v + k*v**2 + z*v**4 + a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b + 4*b - 28*b + 24 - 121 + 5*b.\nAnswer: 2*b - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 326\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {r: 1, y: 1, a: 1, t: 2, f: 2, w: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768441 = 87*t - 2631546. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, s: 1, q: 1, u: 2, f: 6}. What is prob of picking 3 f and 1 s?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) -7.8 (c) -0.03 (d) 1\/396\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = k - 127 + 114, -18*p - 2*k + 54 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-8)\/4 + 12510 + 22 + -10. Calculate the highest common divisor of 60 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93390 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -22*b - 656. Calculate i(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/9, 1\/4, -0.3, -0.2 in descending order.\nAnswer: 2, 1\/4, 2\/9, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 21. What is the nearest to -2\/3 in n, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8000 + 22070. List the prime factors of r.\nAnswer: 2, 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-20))\/(12 - (-1071)\/(-90)). What is the second smallest value in x, -2.1, -6?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - (-9 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u + 195 + 17 + 5 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) 3 (c) -0.09 (d) 0.2 (e) -1 (f) 4\/5 (g) -0.024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1705000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-8*(20\/5)\/(-32)))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7724076.\nAnswer: 2, 3, 101, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37, 99, 153, 199, 237?\n\"Answer: -4*k**2 + 74*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.06 and -68 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76.671798 + 132880787.328202. Let x = -132880958.0000114 + s. Let d = x - -94. Round d to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*i**2 - 40 + 50*i**2 - 98*i**2 + 40.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(-4 + sqrt(396)) + 3 - (1 + (-3 + sqrt(396))*2))**2 + -1.\nAnswer: -48*sqrt(11) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010010000010 - -100010110001?\nAnswer: -10111101111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49556 and 1287.6.\nAnswer: -48268.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -29d506 (base 16) to base 12\nAnswer: -b02632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 719868.0266 to the nearest 10000.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-156)\/(-12))\/13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-795*o + 10761*o + 10467*o)*(-4 + 3 + 3).\nAnswer: 40866*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 99111480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2, -403, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.0738 + 2.2738. Which is the second smallest value? (a) 1409 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*t + 5. Solve 3*n + 6 = 4*c, 10*n = 3*c + t*n - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164468*r**2 - 2*r + 25014?\nAnswer: -328936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 11535507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217862734 + -38209862. Let q = h - 46709649643\/260. Let x = -4900\/13 + q. Calculate the common denominator of x and 145\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/36 - 34*o**3\/9 - 70*o**2\/3 - 46*o - 10. Suppose t(i) = 0. What is i?\nAnswer: -2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -581, 1 in increasing order.\nAnswer: -581, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + -78. Suppose c + c + 2*g = 16, -b*g + 4 = 0. Suppose 3 = 9*q - c. Solve l = 2*o + q, 5*o + 22 = -4*l - 0*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 11*u + 31. Let f be i(7). Solve v + f*m = 2*v + 4, -3*v - 4 = -5*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, -12, -3\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 - 3*y**3 + 4*y**3 + (0*y**2 - y**2 + 0*y**2)*(0*y - y + 0*y) + 109 - 42*y**3 - 109.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 = 5*v, 13 = 2*v - 0*u - 5*u. Sort v, -1, -2, -5 in ascending order.\nAnswer: -5, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 13. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-271911)\/(-3890))\/((-39)\/(-4)). Which is bigger: 7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 13. Suppose 4*s - 4*h = 800, -s + 2*s - k*h = 180. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3452 and 3379 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*p + 1062*p + 16*p - 2 + 204*p.\nAnswer: 1746*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -19. List the prime factors of s\/30 + 61\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-90) - 4*3\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a**4 - 4*a**3 + 27*a**2. Let x(f) = f**3. Let r(i) = k(i) + 4*x(i). What is the third derivative of r(l) wrt l?\nAnswer: -312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -28, -35, -38?\n\"Answer: 2*f**2 - 17*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.60847 to 2 dps.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 1974694\nAnswer: -43\/1974694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + b + 58. Let g be j(0). Let s(l) = 3*l**2 - 15*l - 51. Let a be s(-4). Which is greater: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.88 + -0.48. Suppose 2*g - 9 = -1. Let f be -10*-1*(-2)\/g. Put -3\/4, l, f in increasing order.\nAnswer: f, -3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 b, and 1 z when four letters picked without replacement from zlasasaalllabbsbzzb?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.9807 and -3.\nAnswer: 11.9807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34796*u**5 + u**3 + 209373*u**2 - 5.\nAnswer: -2087760*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:39 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(2*1\/2). Let q be (16\/(-1))\/((-2)\/2). Find the second derivative of -q*b**4 + 18*b**o + b + b wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 1.1. Let h be 2\/8 - (-25 - (-4223)\/164). Sort 55, y, h.\nAnswer: y, h, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58568 by -1863.\nAnswer: 58568\/1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + (sqrt(171) + -2 + 2 + sqrt(171) - (-2 + sqrt(171) + 1)))*2 + -1)*6)**2.\nAnswer: -1296*sqrt(19) + 24948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v + 520. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4\/21, -2\/5, -42 in ascending order.\nAnswer: -42, -2\/5, 4\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 59 = -364. Let c = m + 37. Let t = c + 27. Solve r + 1 = -t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3 - 219905*j**2 - 12089662208*j - 12089442304 = 0.\nAnswer: -109952, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14595 is divided by 4812.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584126 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 882746467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 times -1.6996?\nAnswer: 163.1616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 43 - ((81 - 85) + (1 + 2 - 5))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -611.37 rounded to zero decimal places?\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34613538 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:11 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(1 + ((sqrt(425) + -2 - sqrt(425)) + -5)**2) + -2.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36139912 and 86600?\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -510.3 * -14360\nAnswer: 7327908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 18*n**2 + 19*n - 502. Calculate x(21).\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + 109 - (-5 + (-3 + 3 - 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -101 - 1382*k**4 + 331*k**4 - 315 - 61 wrt k?\nAnswer: -4204*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 79, 5, -106?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3369.94615+-2737\nAnswer: -6106.94615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-141)\/11 - 57\/11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 - 234. Suppose 4*j + p*j = 99. Calculate the greatest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -522066 (base 8) to base 15.\nAnswer: -3645a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18503675\/85842 + -5\/9538. Let j = d - -221. What is the common denominator of j and (-182)\/30 - 4\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 724*t**4 - 3*t**5 - 950*t + 716*t**4 + 2*t**2 - 3*t**2 + 282*t**4 - 838*t**4 wrt t.\nAnswer: -180*t**2 + 21216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/(-567)*-9*4\/(-714)*-9.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 945?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2582 + 4994. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/95*-5 + (-43 - -43). What is the smallest value in 38\/5, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6. Let f(x) = -x**2 - 5*x + 7. Let g be f(-6). Sort o, -4, g.\nAnswer: -4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 4, 1\/5, -28.11 in decreasing order.\nAnswer: 4, 1\/5, 2\/13, -28.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l. Let d(w) = 883358*w. Calculate t(d(j)).\nAnswer: 5300148*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/456 + 2\/(-19).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 8*j + 5. Let v be g(-8). Let m be 10\/4*((-15)\/v + 5). Factor -m*f**2 + f**2 - f + 9*f + 12.\nAnswer: -4*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 10. Let s be n(-7). Let i be (s + 5)\/((-2)\/(-6)). What is p in -i*p**4 + p**4 + 2*p**2 - p + 0*p**2 + 2*p**3 - p = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*t = -746*t - 7320 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**2 - 9*z**2 + 26*z - 229*z**3 + 1 - 27*z - 4*z**2 + 0*z**2 as b*z**2 + r*z + j + s*z**3 and give s.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.99 - -0.01. Let a = p - 4.1. Let i = 0.05 + a. What is the second biggest value in i, 5\/2, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 + 6*a + 22. Let u(t) = -t**2 - 4. Let q(f) = r(f) + 6*u(f). Determine q(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -3690010?\nAnswer: -17\/3690010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 10) to base 16.\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 13, 14, -5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4712346 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/5)\/(657\/(-64605)). Solve 4*h + 19 = 5*p, -4*p + 2*h + v = 45 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6953690*d*k**3*x**2 + 51*d*k**3*x - k**3*x**2 - 486990*k**2*x**2 - 2*k**2*x - 2*k*x + 5*k wrt d?\nAnswer: -6953690*k**3*x**2 + 51*k**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 p, and 2 l when four letters picked without replacement from {z: 2, l: 3, h: 2, p: 4, a: 8, x: 1}?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7388 and -0.04?\nAnswer: -295.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*b - 79222 = 0, 4*t = -3*b - 47492 - 31733. Is -7*(7 + -8) - t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 25 = -2*c. Suppose 0 = c*s + 16 - 66. Calculate the remainder when s is divided by ((-6)\/2)\/(6\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135.119+-0.4\nAnswer: -135.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 7*o - 3*p = -19, 3*p = 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*4335\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 79209174 and 79209174 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 288.16 + -5.16. Let d = b + -283.2. What is the closest to d in 3\/7, 2, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 32 = -2*g, g + 4 - 4 = 2*k + 35 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 8*c**2 - 8*c + 1. Let u be p(9). Solve 0 + u = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1767 (base 11) to base 12.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057158*v - 1978884123 + 1978884123 + 2*v**2 - 2057158*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 515159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35295 and 92310?\nAnswer: 1200030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3810 + 26666\/7. Which is the closest to 0? (a) -3 (b) 0.3 (c) g (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3.67 (b) 2\/17 (c) -4 (d) 283.5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 8. Let d be 2\/(250\/65 + -4). Let m(c) = -c**2 - 15*c - 22. Let n be m(d). Let h(v) = -2*v - 9. Calculate n*k(s) - 3*h(s).\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**6\/240 + 3*p**5\/4 - 143*p**4\/16 + 85*p**3\/3 - 2211*p**2 - 2. Factor b(w).\nAnswer: -(w - 85)*(w - 4)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -41) + 10*(-9)\/24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 1\/97, 0.4 in decreasing order.\nAnswer: 0.4, 1\/97, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57294, 229110, 515450, 916314, 1431702, 2061614, 2806050?\nAnswer: 3665010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (602\/154 + -5)\/((-2)\/22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 28 - (-16 - -30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + 2*z + 1. Let r be m(-2). Suppose 4*s + 9 - r = 0. Let p be 19\/s + (-2)\/(-8). Solve -p*t + 0*t + 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*r + 56 = 16*r - 9*r, 4*n - 28*r = 12*r + 24 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from fqgigjqeqgei?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**3 - 17*p**2 - 31*p + 3. Let g(n) = 2*n**3 + n**2. Let r(t) = b(t) + 3*g(t). Let l be r(16). What is the highest common divisor of l and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43927?\nAnswer: 13, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l - 3*l**4 + 4893*l**3 + 2*l**4 - 4895*l**3 + 2*l**2 + 1 to p + t*l**4 + y*l**3 + i*l + m*l**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - -2 - 1) + (-28 + 7 - (-71 + 41))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*j = 152*j + 169*j - 16302. Solve -24*r = -j + 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14210\/(-840)*(-13)\/(91\/3)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80\/123 or -1841?\nAnswer: -1841","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -x - 10, -3*x - 18 = 2*k - 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84852 at most as big as 84857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 3*k - 3. Let c be d(-4). Suppose -34 - c = -i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.720248 millilitres?\nAnswer: 0.006720248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - 20?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-1)\/1*-1))\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by ((-1)\/(-3))\/(10\/840) - 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 0*w + 5*w**2 - 2*w**2)*(0 - 13*w + 9*w + 2) in the form d*w**3 + r*w + g*w**2 + l and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 181*p + 177*p - 105, -41*p = 3*g + 1022 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -782 - -858. Calculate the highest common factor of x and 3116.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 34*x**2 - 152*x - 9. Give t(-38).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 5*h + 31, -2*h + 25 = -15*o + 20*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*t + 81 + 75 = -12*q, -3*q - 169 = 4*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13441, 12209, 10155, 7279, 3581, -939, -6281?\nAnswer: -12445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmzmmmmzmzmzmmmmmmz. Give prob of sequence mzmz.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - l**2 - l + 4. Let s be w(0). What is the third derivative of -6*a**2 + 25*a**s - 11*a**2 + 17*a**4 wrt a?\nAnswer: 1008*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 2110303124?\nAnswer: 2110303120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 46*y - 40. Let p be z(22). Let q be -2*30\/(1 - -4). Let o be (q - -4 - -2) + p. What is the nearest to 2 in 0.2, o, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24290, -193548, -652940, -1547534, -3022398, -5222600, -8293208, -12379290?\nAnswer: -17625914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 117, 280, 651, 1314, 2353, 3852, 5895?\n\"Answer: 14*h**3 + 20*h**2 + 5*h + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 123, 291, 547, 903?\n\"Answer: 2*b**3 + 26*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 - 189. Let x be l*(-4 + (-22)\/(-6)). Solve -5*b = x*m - 15, -2*b + 2*m = -3*m + 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.56047 * -0.031.\nAnswer: 0.01737457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1452, -6073, -13866, -24837, -38992, -56337, -76878?\n\"Answer: -y**3 - 1580*y**2 + 126*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -10*h**2 + 6*h**2 + 2*h**2. Let o(x) = -2*x - 6. What is o(g(r))?\nAnswer: 4*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmxmmmmmm. Give prob of picking 1 m and 1 x.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:47 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6)*-2)\/((-56)\/24)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4785413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176 divided by -12?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2.1. Let n be (-3)\/(-12)*-6*-2 + (-213)\/71. Which is the nearest to p? (a) n (b) -9 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 687829 divided by -2\nAnswer: -687829\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1336397, -1336399, -1336401, -1336403, -1336405, -1336407?\n\"Answer: -2*m - 1336395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 3418768*u - 10256286.\nAnswer: -2*(u - 1709381)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.985 + 0.015. Let n = -2.7 - -3. What is the third smallest value in n, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 3*v + 2*v. Let m(d) be the first derivative of -2*d**2 + 3. Calculate z(m(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 6*r**2 - 15*r**2 - 18*r**2)*(31*r + 27 - 27) + 0 - 2*r**3 + 0.\nAnswer: -901*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 259504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/3 - x**3 - 17*x**2\/2 + 2*x - 7. List the prime factors of a(6).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10000101101222?\nAnswer: -10000101101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012418.\nAnswer: 2, 3, 83, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 0*l - 63153 = 3*l. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 2 d when four letters picked without replacement from {y: 1, l: 7, d: 2, w: 6, m: 3}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -35*d**3 + 3*d**2 - 6*d - 4. Let y be p(-6). Let v be y\/231 + (-2)\/6 + 0. What is the highest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 97.9033?\nAnswer: -97.8933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 932005933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 + -1)*2\/2. Let r(i) = -51*i**3 + 2*i + 1. Let l be (-9 - -7) + 1\/1. Let z be r(l). What is the highest common factor of z and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12990204 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*((sqrt(1900) - 1*-1*sqrt(1900) - 5*2*sqrt(1900)) + (sqrt(1900) - sqrt(1900)*1*1) + 1*sqrt(1900) + -2 + -1))**2.\nAnswer: 15120*sqrt(19) + 3351924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (6\/(-3) - 0). Suppose r + 2*d - 2 = 0, 5*r + 3*d + 0 - 3 = i. Let a be 8\/(-12) + (-47)\/(-3). Solve r = 2*s + s - a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 546 + -543. Suppose -3*g + 7 = -i, -3*i + 0*i + g - 13 = 0. Which is the second smallest value? (a) 5 (b) i (c) -3\/2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2260*q + 5815*q + 3555*q - 1249*q - 636*q.\nAnswer: 9745*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -72, -138, -214, -294?\n\"Answer: k**3 - 14*k**2 - 15*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 24*d**2 - 2*d + 63. Let q be k(24). Suppose 0*a - 11 = -2*g - 3*a, -5*g + q = -5*a. Solve 3*c + 8 = 5*f, g*c - 2*f + 6 = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 963796787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j. Let r(h) be the first derivative of 0*h + h**2 + 0*h - 3 + 0*h**2. Let g = 3 + -10. What is g*r(n) + 5*m(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-7)\/(-210)*-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:22 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 25, -2, -127, -43 in decreasing order.\nAnswer: 25, 1, -2, -43, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x. Let m be s(-6). Let o be 3\/((-3)\/m*3). Suppose 2*a + 2*d + o = 3*a, 5*d + 45 = 5*a. Solve 4 = -4*f + a*i, -3*i = -5*f - i - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 156029889 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**3 - 2*d**2 - d. Let h be u(-2). What is the remainder when 94 is divided by (-15 + h)\/(0 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v - 3*v + v)*(-247*v**3 + 10795*v - 10795*v) as l*v**4 + y + q*v + t*v**3 + u*v**2 and give l.\nAnswer: 1729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4698.77 + 4590. Let x = 2.23 - g. Let w = x - 110.9857. What is w rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 988 and 5447?\nAnswer: 413972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/3)\/((-1)\/(-3)). Suppose 0*q = -q + p. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/274568 and 79\/10976?\nAnswer: 53815328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178eee (base 16) in base 13?\nAnswer: 42097c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 10*r**2 + 11*r + 4. Let t be a(-11). What is the first derivative of 23 + 934*c**3 - 934*c**3 - 24*c**t wrt c?\nAnswer: -96*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18833673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -2. What are the prime factors of (-2)\/g - 414\/(-30)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 96. Let p be r(24). Solve p*d + 12 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1126 - 7664 = 0. Let b = -928 + s. What are the prime factors of b?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110 + 1001101100?\nAnswer: 101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/8 or 181?\nAnswer: 43\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 1. Let m(f) = 0 - 9 + 26*f + 3. Let n(w) = -3*m(w) - 16*r(w). List the prime factors of n(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 9*y**3 - 3*y**3)*(1 + 3 - 6).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 2, o: 3, l: 1, m: 3, r: 1}. What is prob of sequence jv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -49*b**2. Let i(l) = 5*l**2 - 51484*l + 51484*l. Calculate i(z(g)).\nAnswer: 12005*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 276*t**3 + 16737*t**2 + 146664289 wrt t.\nAnswer: 828*t**2 + 33474*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.9999973 + 67. What is k rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 6. Suppose -6*p = -j*p + 12. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6768 - 6766. Let f(p) = p**2 - 3*p. Let o be f(3). Suppose u*l + 3*l = -4*m + 2447, -3*l + 3*m + 1452 = o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*y**2 + 31*y - 13*y - 20*y in the form i*y + o*y**2 + z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -887*j - 44347. What is a(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -210*s - 3988. Let r be p(-19). Solve 9*z = 12*z + k - 11, -r*z = 4*k - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126059 - -627366\/5. Let v = 584 + z. Suppose -12 = -6*p + 6. Put -0.4, p, v in descending order.\nAnswer: p, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*o + o - 58, 2*o + 44 = 4*w. Suppose w*y - 5117 = 1483. Suppose 0 = -8*k + 6*k + y. Is 55 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 - 6.68. Let l = 6.628 + x. Let b = -5.028 + l. Put b, -0.3, -0.1 in descending order.\nAnswer: -0.1, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 29 = 2*a, 15 = 5*t + 12027*a - 12022*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31585.\nAnswer: 5, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13 - 66*l - 66*l + 138*l - 3*l**2 - 2*l**2. Determine p(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4012?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 23. Determine x, given that q*x - 15*x**4 - 99*x**2 + 161*x**3 - 2*x + 24 - 77*x**3 = 0.\nAnswer: -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 11 + 2 + 1 - 2 + 1 - 2 - 1 - 1 + 3 + 0 + (-2 - 2 + 2)*(3 + 0 - 2) + 2 - 3 + 0)*(0*h - 3*h + 6*h).\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 - 13 - 10 - 61 - 14 + 7*b - 33.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -0.1. Let w = p - 0.99. Let f = -77.99 - -78.09. What is the closest to -1\/3 in w, 1\/2, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/42 and -115\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1223114 - -4?\nAnswer: -1223110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 6*w**5\/5 - 86*w**4\/5 - 258*w**3\/5 - 234*w**2\/5 - 68*w\/5 = 0.\nAnswer: -1, -2\/3, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101181126 to the power of 1\/2, to the nearest integer?\nAnswer: 33184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.115 and 2.\nAnswer: 3.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -9*d**3 + 2*d**2 + 4862*d. Let q(j) = 2*j + 1. Let s be q(-3). Does 47 divide t(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899821005 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 127 + 653 = 0. Let f be 0 + (h\/(-12))\/1. Let d = -17 - f. What is the closest to -1\/4 in 0.5, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w + 5 = 0. Let l = 50 + -46. Suppose -19*x = -21*x - l. Put w, 3, x in descending order.\nAnswer: 3, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 183.1 (b) 3\/5 (c) -1\/6 (d) 101 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/5 - 4*c**4\/3 + 2*c**3 + 5*c**2. Solve f(y) = 0.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410064, 410017, 409970?\nAnswer: 409923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(28\/(-8)))\/2. Solve -1 = 2*y + h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(192) + sqrt(192)))**2 + ((-1*sqrt(132) - sqrt(132) - sqrt(132))\/sqrt(4))\/sqrt(11).\nAnswer: -3*sqrt(3) + 12288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1825, 3663, 5533, 7441, 9393, 11395, 13453?\nAnswer: 15573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 13 = 3*q, -2*q + 7*q - 2*t - 40 = 0. Suppose 3*f = f - q. Let u = f - -13. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2. Let d(i) be the second derivative of -i**6\/360 - i**4\/3 + 5*i. Let o(v) be the third derivative of d(v). Calculate l(o(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264376 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52, -107, -160, -211?\n\"Answer: n**2 - 58*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 15*o**2 - 33*o - 51. Determine z(-17).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - p + 1240 = 0, -4*p = -2*f - 6*p + 1238. Let h = 1100 - f. What are the prime factors of h?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 22. Solve -v*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/9)*n)**(3\/44) assuming n is positive.\nAnswer: n**(17\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 9 - 37. Let b(m) = 2*m**2 - s*m - 3 - 1 + 7. Let l(a) = -a**2 + 3*a - 1. Let k(p) = -2*p**2 - 5*p + 2. Let c be k(-4). Determine c*l(h) - 4*b(h).\nAnswer: 2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 - -9605413?\nAnswer: 9607101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5601\/28 + -1262\/7. Let s = -467387\/1836 - -4336\/17. Find the common denominator of m and s.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 3*i - 7. Let j be z(-5). What is g in 2*g**4 - g**2 - 2*g**2 + g**4 - 4*g**3 + 3*g**5 + g**j = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6014501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 23 = -3*w - 0*w, w - 9 = -2*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 17\/((-595)\/(-1295))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3\/4 - 1411600*y**2 - 1594086001585*y\/4 + 1594097294405\/2 = 0. Calculate y.\nAnswer: -564641, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 1, s: 2, n: 3}. What is prob of sequence tsyn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 5*n - 1. Let o be h(-4). Suppose o*a - 5*i + 26 = 0, a - 2 = 5*i - 4. Put 4, 1, a in ascending order.\nAnswer: a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 7839*b + 0*b**2 - 15548*b + 7812*b - 3*b**3 - b**2 + 2*b**2 to the form x*b + z*b**2 + t*b**3 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*w - 4*x, w + 14 = 5*x + 36. Let b(m) be the first derivative of 0*m + 2\/3*m**3 + 4 + 0*m**w. Let u(s) = 2*s**2. Calculate u(b(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87 + 4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -3 (c) -1\/17 (d) -0.07 (e) 1 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.585 + -0.175. Let o = j - 3.5. Let x = o + 0.39. What is the second smallest value in 0.5, -2\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347253 is divided by 270?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85477 = 27*l - 330161. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4047?\nAnswer: 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1285 * -8\nAnswer: -10280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6314)\/290)\/((-126)\/(-35)). Let y = g - -3545519\/29232. Let t = 822\/7 - y. Calculate the common denominator of t and -31\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4325.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5517170 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from eeett.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*r + 10, u - 2*r + 5926 - 5946 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1796 - -3745. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1424322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuummuuu. Give prob of picking 1 u and 2 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) 1\/2 (c) 2 (d) 0.1 (e) -65\/23 (f) 0.3 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2575140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v - 3*o = -2040 + 281, -4*v - o + 3*o = 7*o + 125 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4 + 6 + 0 - 9*b**2 - b**3 - 7*b - 5*b**2. Does 10 divide a(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -1580*f**3\/3 + 315*f + 952. Find the first derivative of z(i) wrt i.\nAnswer: -3160*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 175*a**2 - 8*a - 1391. Calculate w(-175).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 13*o = -624. Let v = 7 - o. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 8*h**2 + 7*h + 4. Calculate the lowest common multiple of a(7) and (75\/(-45))\/(15\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/12 - s**4\/12 + 5*s**3\/3 - 9*s**2. Let g be o(3). What is the highest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j - j + 6*j - 55*j.\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4834740 and 6285162?\nAnswer: 62851620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -553040665 - 1?\nAnswer: -553040666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**10*(z\/z**(-17)*z)\/z)\/((z\/(z*z\/z**15*z))\/z**(-2\/47)))**(-19) assuming z is positive.\nAnswer: z**(-13357\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 279, -1\/1269?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 18962145 + 3*z**3 - 18962145.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 19 = -183. What is the remainder when 79 is divided by t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -307\/184 - -116\/23. Find the common denominator of t and 89\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -925 + 1781\/2. Let d be -1 - (12471344\/(-412650))\/4. Let q = d + -2\/22925. Find the common denominator of q and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/40)\/((-7)\/(-17220)*12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/12*(2 - 6). Let r be (1\/3)\/(30\/(-18)). Which is the closest to g? (a) -0.3 (b) r (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1726 = 13446. Suppose -b = -5*h + 3*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 360, 166, -142, -552, -1052, -1630, -2274, -2972?\n\"Answer: 2*m**3 - 69*m**2 - m + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 10:10 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178 and 44?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/10)\/(1407\/(-5)). Let x = w + -20803\/1876. Find the common denominator of x and (346\/60)\/((6 - 5) + 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*m - m + 29783, -4*m - 148933 = -5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2911*b - 8927. What is f(-3)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c + 3 = 0. Put -3, -7, c in decreasing order.\nAnswer: c, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*d - 10448, 5218 = i + 5*d - 10*d. Suppose 354 - i = -2*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. Let x(c) = -3*c**2 - 3*c - 6. Let q(f) = 2*f**2 + 2*f + 5. Suppose -d - 4*d = -25. Calculate d*q(j) + h*x(j).\nAnswer: -2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 969, 968, 967, 966, 965, 964?\n\"Answer: -n + 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:08 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*k - 716 = 146*k. Is k a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1919 + 3267 - 29*d + 21*d**4 - 10058 - 4*d**2 wrt d?\nAnswer: 84*d**3 - 8*d - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 8*i - 20. Let d be f(10). Let n be (-15)\/((-3)\/(2 + 13)). What is the greatest common divisor of d and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.063 or -0.2259?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 3:14 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2391 + -2391.00003674. What is z rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1\/13, 10, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299 + -281. Find the second derivative of 13 - f*n + 41*n - 10 + 32*n + 139*n**2 wrt n.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 1\/5 (c) -4 (d) -171118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38 - -40)\/(0 + 1). Let f(x) = -2*x + 12. Let l be f(5). Let b be 5 + -3*l + 3. Solve -6 + c = -b*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30563317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 33*t**2 - 60*t + 71. Let d be i(-31). Solve 19*v = d*v - 60 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304451659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -7 in increasing order.\nAnswer: -7, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 5, -1.652, -2\/9 in decreasing order.\nAnswer: 5, 4\/9, -2\/9, -1.652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2097.954 milliseconds to days.\nAnswer: 0.000024281875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1235907, -0.2, 1.\nAnswer: -0.2, 1, 1235907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.29, -2, 2, -0.05?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:56 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9640062.406 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1100) + -3 - ((sqrt(1100) - (sqrt(1100) - -1*(sqrt(1100) + 1))) + sqrt(1100))) + 0 + sqrt(11)*1 + -4 + -6*sqrt(44)\/sqrt(4))*-1)**2 + -4.\nAnswer: -60*sqrt(11) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 224 + 216)*(b**2 + 2 - 2*b**2 + 2*b**2).\nAnswer: 401*b**2 + 802","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19346671463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {o: 4, d: 1, a: 6}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 7*b - 17. What is z(7)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 15.8\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 142202043 (base 5) in base 3?\nAnswer: 1101122022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245452.\nAnswer: 2, 13, 43, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161.7 + 168. What is j rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79, 199, 191, -119, -905, -2341, -4601, -7859?\n\"Answer: -29*c**3 + 110*c**2 - 7*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -45.9. Is -247 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*((sqrt(190)*-2 - sqrt(190)) + sqrt(190))*1)\/(sqrt(10) + (2*sqrt(810) - sqrt(810)) - ((sqrt(490) - 1*sqrt(490)) + sqrt(490))))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -22. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2873305982.\nAnswer: 2, 409, 1439, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwqg when four letters picked without replacement from gggwrggqqqgqgqqqgrgg.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -24.1. Let z = 1.17 + y. Which is greater: -0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**3 + 39*n**2 + 138*n + 144 = 0?\nAnswer: -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gffd when four letters picked without replacement from ddgffddixgxa.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t*t**(2\/29))**19 assuming t is positive.\nAnswer: t**(3344\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 464262 - 164267. Suppose p - c = -w, 5*w - 4*p + 2*p - 1500010 = 0. What is w rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066633030 to the power of 1\/4, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 712736 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 857*-333.\nAnswer: -285381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/6 and ((-3483)\/(-421335))\/((-33)\/55)?\nAnswer: 18726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a kilogram in grams?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0*o**4 - 1\/30*o**5 + 0 - 6*o**2 + 0*o**3 + 0*o - 1\/30*o**6 - 1\/105*o**7. Suppose q(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, -4, 2\/15, 1.1, -230, 6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 1 = -2*z + 3*r, -2*z + 2*r = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a + 1. Let r(b) = b**2 - b - 2. Let w(d) = -7*d**2 + 5*d + 11. Let p(i) = 6*r(i) + w(i). Let j = -19 + 24. Determine j*t(y) + 3*p(y).\nAnswer: 2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.802008495 rounded to 4 dps?\nAnswer: -15.802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 3.6\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, 1, 6 in descending order.\nAnswer: 22, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -1\/30*w**5 - 7\/2*w**2 + 0*w**3 + 0*w**4 - 5*w + 0. Let t(b) be the first derivative of k(b). Let x(c) = 4*c. Give t(x(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1314 + 1314.7. What is the smallest value in -0.2, m, -95, -5?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**7\/2100 + d**6\/300 + d**5\/100 + d**4\/60 - d**3\/2 - 3*d**2. Let a(u) be the first derivative of f(u). Solve a(t) = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u**2 - u**3 + 1 - 2*u - 16*u**2 + 0*u. Let d be r(-2). Let n(i) = i**2 - 7*i + 11. Calculate the remainder when n(d) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = k - 18, 2*f - 5*k - 1 = -2*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69 - 1)*(-12)\/(-24).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000713544 rounded to five decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18229255 by 3645851.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 - 31*r**2 + 9*r**2 + 7*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000020061517 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.79928 and -0.1.\nAnswer: -0.379928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12260, 12255, 12250, 12245, 12240?\n\"Answer: -5*q + 12265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6*(-1 + 16*28). Let n = l - 22. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*l = 52 + 33, -2*w = 2*l + 62. Let r be 4\/(-3 - w\/7). Solve 0 = r*d - 4*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 - 19 = -2*s, 0 = 2*s - 3*x + 2. Suppose s*v - 72 = -2*o, -3*o - v = -0*v - 82. What is the remainder when o is divided by 27\/2 + (-1)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*v + 1508 + 2580 = -51*v - 1795 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4 + 369*d**3 + 9273*d**2 + 17451*d + 8544 = 0.\nAnswer: -89, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 22\/(-6))*9. Let w be 513\/5 - h\/(-5). Let u = w + -52. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4*(-3202)\/(-16))\/((-1)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10617508 to the nearest integer?\nAnswer: 3258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -35 + 41. Suppose -4*d + 7 + 1 = 0. Solve -d*b - 5 = l*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63085920 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w + 2. Let t be d(-2). Let p be (-98)\/(-21)*360\/t. What is the remainder when (-4)\/(-6) + p\/9 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1568441868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.032 * 11770.2.\nAnswer: 376.6464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1600134*l**4 + 28*l**3 - 8434*l**2 - 73*l + 3 wrt l?\nAnswer: -38403216*l + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 3*v - 372. What is r(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -3, -225, -9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 + -28.11. Let v = c - -48. Let m = 20.088 - v. What is m rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 3*o - 121.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 12.9, 22, -12, -4, -1\/5, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 100?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3 - 3*f - 10*f - 3.\nAnswer: -13*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1337412.9376 to the nearest 10000.\nAnswer: 1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 4*j + 2. Let o be r(0). Let l(k) = 53*k**2 - k + 1. Is l(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*u = 1, -5*y = -4*u - 7 + 2. Suppose -5*f + 5*b + 55 = 0, 2*b = -f - y + 3. Let h(j) = j - 6. What is the units digit of h(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {r: 3, f: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*l = 78846, -c = -284*l + 279*l - 15737. What are the prime factors of c?\nAnswer: 2, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*g**2 + 84*g**5 - 271*g**2 + 2*g + 205*g**2 wrt g?\nAnswer: 5040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122112202122 (base 3) to base 4\nAnswer: 3112010033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2519 and 6?\nAnswer: 15114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -280*x - 9455. Give b(-34).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1368 and 2584.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - f - 5, 2*o = -3*o - 2*f + 3. Is o smaller than 2\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 244426415*c**2 + c + 705430581 wrt c.\nAnswer: 488852830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 56485 - 17*i + 3*i - 56485 + 6*i + 3*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*1 + 14\/8. Suppose 2*i + 10 = -4*p, 2*p - 4*i - 4 = 6. Which is bigger: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1045410 or -1045409?\nAnswer: -1045409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 4.2796211.\nAnswer: 7.2796211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1313?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 3*p - 36. Suppose 0 = p*h + 15*h - 114. What is the remainder when 81 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 + 4*k + 3. Let c = 2123 - 2118. Let o(z) = -2*z**2 + 3*z + 2. What is c*o(r) - 4*q(r)?\nAnswer: 2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/((-798)\/(-95)))\/(-3 - -5) + 214\/(-56)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468) + 2*(sqrt(468) + -1))**2*-5.\nAnswer: -21105 + 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(663\/52) + (-4)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + d + 1 = 8, 3*d - 14 = 2*h. Let f(o) = 4*o + 3. Let v(b) = 2*b - 1. Let i(l) = h*f(l) - 4*v(l). What is i(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k**2 - 29*k + 4. Give t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*s = 110 + 140, -2*s = -4*p - 1010. Let g be -2*(-1)\/12 - (-546)\/p. Is -21\/32 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/35 in -3, -0.4, -4, 0.9, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400 = 2*c + 2*v, 5*c - 2*v - 3472 = -0*c. What is the greatest common divisor of 957 and c?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14410638*d**3 - d**2 + 7040632*d?\nAnswer: 86463828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17810 is divided by 15952?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 31, -10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.29481 millilitres to litres.\nAnswer: 0.03629481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.2 + -19.2. What is the nearest to 0 in -3, m, -0.1, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075 = 96*v + 1267 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2076133, -2075873, -2075611, -2075347, -2075081, -2074813, -2074543?\n\"Answer: z**2 + 257*z - 2076391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 5*u**2\/4 + 21*u\/2 - 36.\nAnswer: -(u - 8)*(u - 3)*(u + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4010718 (base 12) to base 10\nAnswer: 11965700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(0 + 4 - 2)*(-k + 0 + 0 + (3*k + 0*k - 5*k)*(1 - 4 + 1)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 47246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.46951?\nAnswer: -0.187804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(128\/(-44) - -3). Is -10 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41364 times -256\nAnswer: 10589184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 7:14 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 853138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) -1.1 (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 5 + (-9 - -56) + 2*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7443*p. Let x(w) = 4957*w. What is -5*s(h) - 8*x(h)?\nAnswer: -2441*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -368*z - 371. Calculate v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -80901?\nAnswer: -16180.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*a + 2397 = -2*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*h**4 + 3 + 10 - 18*h**4 wrt h.\nAnswer: -272*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/13 and 61\/1573.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from fhhzgbcc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**2 + 77. Let q(m) = 38*m. Give n(q(o)).\nAnswer: 76*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:02 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1005\/15542 or -1?\nAnswer: -1005\/15542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/8 + 14643*u**3\/8 - 34896*u**2 + 80874*u + 117600 = 0 for u.\nAnswer: -4900, -1, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-1)\/(((-315)\/(-7))\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 705195*l**2 + 24864646800*l + 24865352000.\nAnswer: 5*(l - 70520)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:44 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + j - 2. Let v(l) = 3*l - 2*l - 6 + l. Let a be v(4). What are the prime factors of g(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1194 - 1194. Find q such that 2\/3*q - 2\/3*q**2 + c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 4)*(0 + -1 + 2). Let s(a) = 3. Let v(o) = o. What is y*s(p) + 3*v(p)?\nAnswer: 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44455 = -9*b + 44626. Calculate the remainder when 14058 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y**2. Let a(q) = -507862*q. Determine a(c(p)).\nAnswer: -5078620*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.37239031 rounded to one decimal place?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7894 - 0.7944. Sort 0.06, 4, n in decreasing order.\nAnswer: 4, 0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 times 5.7\nAnswer: -5.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 143, 662, 1733, 3542?\nAnswer: 6275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/7 - 74296*o**2\/7 + 98527096*o + 788896192 = 0. Calculate o.\nAnswer: -8, 18578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.585 + -0.585. Let p = -7 + -4. Let v = 10 + p. Which is the closest to v? (a) x (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w = 24. Let f(z) = z + 10. Let j be f(w). Sort j, 1, -3 in descending order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15056 + -15051. Is b > 211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18904.8 + -5?\nAnswer: -18909.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.137531469 and -1481.\nAnswer: -1480.862468531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/26*(0 + 0). Let m(w) = -w**2 + 6. Let y be m(k). What is the greatest common divisor of 18 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -6, -2*k - 3*s - 111 = -7*k. Let v = 20 + k. Suppose 3*u + 4 + v = 3*z, -3*u - 69 = -5*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*(w**(-5\/2)\/w)\/w*w*w*w)\/w))\/w*w*w**(4\/29)*w assuming w is positive.\nAnswer: w**(211\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znnn when four letters picked without replacement from {a: 1, n: 3, z: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -6 (c) 2\/29 (d) 8 (e) -1\/4 (f) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -614653*k**3*r + 61*k**3 - 5813*k*r - 4726*k wrt k?\nAnswer: -3687918*k*r + 366*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(675)*-2 - sqrt(675))\/((sqrt(576) - (sqrt(576) - -2*sqrt(576))) + (-2*sqrt(1089) - sqrt(1089))).\nAnswer: -5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 445*t**2 - 6750*t - 25560.\nAnswer: -5*(t + 6)*(t + 12)*(t + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13235, 13179, 13121, 13061, 12999, 12935, 12869?\nAnswer: 12801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + (-4 - (3 - 16) - (-47 - -58))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -47. Let r = 77.3 - j. Let h = 0.1 - 1.1. Which is the nearest to r? (a) -1\/6 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 238912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.285 + 3.715. Which is the nearest to -4? (a) 2\/3 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2020, 2029, 2052, 2095, 2164?\nAnswer: 2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 3*n - 8, 0 = -604454*u + 604451*u + n - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*o - 5*v + 45, -3*o = v - 23. Suppose -12 = -4*z + o*z, y = -5*z - 17. Solve y*p + 5*p = -8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**2 + 3*q + 8. Let k(h) = 12*h**2 - 4*h - 10. What is -3*k(g) - 4*v(g)?\nAnswer: 8*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-468)\/(-72))\/((-2)\/4). Which is the closest to -3? (a) j (b) -2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -543 + 542.7. Sort r, -3, -42 in ascending order.\nAnswer: -42, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**7\/840 + s**6\/360 + s**5\/120 + 73*s**4\/8 - s**3 - 2*s. Let y(w) be the second derivative of a(w). Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -949, -1234, -1469, -1654, -1789?\nAnswer: -1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 21*m**2 + 23*m - 11. What is t(20)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 195.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6210782829 to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*l = -0*v + 15, 0 = -3*v - 4*l + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -58. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049000\/32 + 10 - (-65)\/(-52).\nAnswer: 2, 3, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:08 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -330 - 40?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 + 13*j**2 - 1\/24*j**6 + 1\/6*j**4 + 0*j + 0*j**5 - 2\/3*j**3. Let s(q) = 6*q**3 - 5*q + 5. Determine 4*s(g) + 5*z(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 35 = -2*r. Suppose 3*x - 29 - r = 0. Suppose 5*p - 20 = -b, -3*p + x = -0*p - b. Put -3, p, -6 in decreasing order.\nAnswer: p, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 9*n + 36. Let v be (n\/(-9) + (-8)\/12)*9. Solve 2*t = 7*t, -4*t - v = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12921493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 - 116*z - 468. Determine s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -906 + 916. What is the remainder when 1088 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -261?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3279*j**2 - 89207*j - 1491. Calculate q(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2064 and 3420822.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggeeggggg. Give prob of picking 2 g and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27536605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 + 0 = 2*q, 25 = 5*i + q. Let a be 1 + -2 + 18\/3. Calculate the lowest common multiple of (32\/40)\/(2\/a) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-7)*(-14)\/(-4). Suppose -3*c = -4*l - 30, a*l + 16 = -0*l + 2*c. Is (2 + 92\/(-8))*l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 33, 41, 49?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/43342 and -79\/98748.\nAnswer: 164612916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 6:53 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z + y, 4*y - 2 + 14 = 0. Suppose -4*l + 0 = 4, -3*l - 283 = -z*t. Calculate the remainder when t is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 115553228.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)\/((y**(-2)*y)\/y)*y\/(y*y*y**0)*y**3)\/(y\/y**(-4)*y**0*y**(2\/5)*y*y*y*y\/(y**(5\/3)*y)) assuming y is positive.\nAnswer: y**(-113\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j\/(j\/(j**9*j*j)))\/j)\/j)\/j*j)\/(j**(-5\/11)\/j) assuming j is positive.\nAnswer: j**(137\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 11*g + 19 - 7*g + 2 as y*g + d and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(b**3 - b**3 + 2*b**3) + 23*b**2 + 2*b**3 - 4*b**3 - 21*b**2.\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 52749*y + 240244*y + 1 + 54555*y.\nAnswer: 242050*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 7.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b - 4. Suppose -4*d = -1 - 11. Suppose d*f + 11 = 5*f + 5*u, 0 = 3*f - 3*u - 6. Calculate w(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1246 (b) 2 (c) -2 (d) -12\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 5*v + 3*v)*(57*v - 8 + 3 + 0).\nAnswer: -171*v**2 + 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 16. Let c = o - 5. Suppose -2 = c*w - 10. Solve -w*v + 20 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 16*h - 1. Let l be x(9). Solve -2 - 20*u + l*u**2 + 6*u - 155*u**2 = 0 for u.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b. Let s(w) = 14*w - 8 - 3*w - w. Let i(h) = h - 1. Let q(n) = 8*i(n) - s(n). Calculate q(u(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*t - 17 = 0, 3*t = -3*c + 146 - 119 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-14)\/(-63)*9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-60)*-4)\/(2\/(23*-10)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 260 + 1084. Suppose -3*g = -636 + i. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3364*d**2\/5 + 4524*d\/5 - 1521\/5.\nAnswer: -(58*d - 39)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2616)\/(-32)*6855\/4113*(18\/10 + -1)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 3*i - i + (-i + 0*i - i)*(-3 - 3 + 2).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, a: 2, i: 6, p: 1, f: 4}. Give prob of sequence iiay.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 2:08 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:15 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -18*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-6))\/(192\/(-216)). Solve 0 = -q + s + 4 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oho when three letters picked without replacement from oooohhooooooooh.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*a - 6615 = -681*a for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 306, 594, 880, 1164?\n\"Answer: -l**2 + 291*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*q + 3 = 2*v, 4*v = 2*q - 2. Which is bigger: v or -1\/101?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4)\/(-5) + (1 - 0)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131610512.\nAnswer: 2, 11, 67, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 12. Suppose 2*i - 8 - 25 = u, i + u - a = 0. Let n = 18 + -13. Calculate the highest common factor of n and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 27719700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 3797527709792.\nAnswer: -3797527709791.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)*l**(-2))\/(l**3\/(l*l\/l**(5\/2))))\/((l\/l**(-3\/4))**(17\/4))**(-34) assuming l is positive.\nAnswer: l**(9911\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/100)\/((-1)\/(1*-4)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -64, -140, -246, -382?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513) + sqrt(513)*-1)\/(sqrt(3) + (sqrt(30)\/sqrt(250) + sqrt(3) - sqrt(3))) - -4*(sqrt(114)*2)\/sqrt(6)*3.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10722741403 and 0.4.\nAnswer: 10722741403.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7420 and 212?\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -21\/2. Find the common denominator of x and 7\/(-7) + (-28)\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3982 + -3970. Solve 3*a + 9 = b, 3*b - 5*a = -1 + g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) 0.035 (c) -763\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -17. Let y be q\/2 - -3 - 178. Let d = 72 - y. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 1112. Let w(p) = 3*p + 2215. Let v(b) = -5*j(b) - 2*w(b). Let a(i) = 3*i. Determine a(v(q)).\nAnswer: -3*q + 3390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16182144 by 6.\nAnswer: 2697024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1288\/253)\/(-28))\/(83\/(-11))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 = -61. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 16165964*m + 16165964*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1. Let n(w) = 2*w - 12. Let j(a) = 2*a**3 - 113*a**2 - 60*a + 163. Let f be j(57). Determine f*z(u) + n(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21328445 * 0.5\nAnswer: 10664222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11\/22)\/((2\/8)\/(180\/72))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000165331 rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(931)*-2 - sqrt(931))*4*6*2)**2*6.\nAnswer: 24192*sqrt(19) + 115831320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 14 - 2 = 0, 5*v = 2*w - 47. Let p = 0.3 + -5.3. Which is the third biggest value? (a) 0.4 (b) 1 (c) v (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65894 and 2538?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3*o**3 - 2*o**3 + 7*o**3)*((-2*o + 3*o**2 + 2*o)*(201 - 422 + 251) - 3*o**2 + 3*o**2 - 9*o**2).\nAnswer: 162*o**5 + 81*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 115032.\nAnswer: 575160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 0)\/((-2 - -1) + (-971264)\/(-971328)).\nAnswer: 3, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -0.4. Let x = -75\/11 - -7. Let o = 0.2 - -0.8. What is the biggest value in h, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:53 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - 3 - (559 - 558)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m + 10. Let w(h) = -19*h + 12. Let n(s) = -4*t(s) + 3*w(s). Let q(l) = -6*l + 7. What is -10*n(g) - 6*q(g)?\nAnswer: 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26.99 (b) 1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(1\/4)*u)\/u)*(u*u**30)\/u*u)**(6\/7) assuming u is positive.\nAnswer: u**(381\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*g + 3*r - 720, -2*r = -g + 186. Let k be (-52)\/((-10)\/30 + 5\/(-3)). What is the greatest common divisor of k and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 29. Let c be g(-12). Let w be (-1)\/(-6) + (-214)\/(-12). Let k = w - c. Put k, 2\/3, -2\/13 in descending order.\nAnswer: k, 2\/3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/21 + 2\/(-14). Solve b*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -24*m - 1. Give k(4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15977c (base 15) to base 3\nAnswer: 1222001212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -5*c**2\/2 - 30. Let b(l) = -2*l**2. What is b(d(f))?\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 36.03. Let o = k - -0.13. Let g = 4.3 - 4. What is the third smallest value in o, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d - 3*h - 30, d - 2*h - 10 = 0. Is -2 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Let b = 277 + -280. What is the second biggest value in q, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = -3. Suppose -2*t + 12 = -3*t. Let y be (32\/t)\/(q\/(-401250)). Round y to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52392575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 16*t**3 - 5*t**2 + 4*t - 11. Let c(l) = l**3 + l**2 + l - 2. Determine 4*c(i) - x(i).\nAnswer: -12*i**3 + 9*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1177192\/7 - -168170. Let f be (-2)\/(4\/(-3)) - 2. What is the nearest to f in 5, -26, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68724 and 15.\nAnswer: -1030860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17799 is divided by 2220.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 + 210\/135. Factor 2\/9*y**4 - a*y + 0 + 2\/3*y**3 + 0*y**2.\nAnswer: 2*y*(y - 1)*(y + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848460253 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1169 greater than -1169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -406 - -421. Suppose 0 = 5*o + m*o - 85340. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.957 times -0.49\nAnswer: -5.36893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 60*n**2 + 43 - 43 - 25*n**2 + 4*n**2 + n**2 + (-1 - 3 + 6)*(n**2 + n**2 + 0*n**2).\nAnswer: 44*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2*(-8)\/(-4). Let z be (-2)\/(b\/(2 - -4)). Suppose 2*m + u - 64 = 0, z*u = 2*m - 0 - 64. Is 32 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 - 85*j - 10. Calculate the remainder when 638 is divided by u(-10).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/p**(2\/45)))\/p**(-8\/7))\/((p*p**30)\/p**(-8\/11)) assuming p is positive.\nAnswer: p**(-102356\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + h = -60, -2*y = 4*h - 3 + 1. Calculate the highest common factor of 99 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 0.3, -0.2, 8, -0.2174?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, h: 5, x: 3}. Give prob of sequence hxee.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1549, 3868, 7733, 13144?\n\"Answer: 773*m**2 + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 55?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/4)\/((-18)\/(-4)))\/((-14)\/(-12))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4693.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 8:32 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110134, 110128, 110122, 110116, 110110?\nAnswer: 110104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v. Let s = 1\/3386 - -6487\/965010. Let u = 217\/9690 + s. Which is greater: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, 3, 5 in increasing order.\nAnswer: -151, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4261 - -4261.08. Sort s, -0.5, 1\/43 in increasing order.\nAnswer: -0.5, 1\/43, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118*17.\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646 = 14*n - 52*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 33568*r**2 - 4*r - 5. Let g be x(-1). Round g to the nearest one hundred.\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, -3\/2, 4\/29, 2\/15, 3, -5\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -2, -2\/5, -45, -54, -0.08?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -19*s**2 - 3*s - 2. Let a be l(-1). Let o = 24 + a. Let h be 1\/(-1) + o\/(-2). Sort h, 4, -5 in descending order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 340 - 683?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*a**2 + 0 + (-3*a - a + 2*a)*(2 - 2*a - 2) + (-2 + 3 + 0)*(-8 - a**2 + 5 + 2) to g + k*a**2 + n*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Let y = -3071 - -6265\/2. Let o = 63 - y. What is the biggest value in 2\/7, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 - -1181.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2233327 and 354.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(l + 4*l - 3*l)*(209 + 331 + 178) to the form c*l + j and give c.\nAnswer: -2872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, h: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -7 + -4 + (-14 - -82)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294500 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*i - i**2 + 2 + (-413*i - 15*i + 24*i)*(0*i - 3*i + 2*i).\nAnswer: 403*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86864*k**2 + k**3 + 86864*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -54, -118, -218, -360, -550, -794?\n\"Answer: -v**3 - 9*v**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25810 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: 0.3*-7725.59\nAnswer: -2317.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a factor of 778498722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112101.\nAnswer: 3, 11, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/92 and -25\/44.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6 + 6 - 3 + w**2 + 0 - 5*w. Let f be i(6). Find the second derivative of -f*x - 2*x - 3*x**4 + 0*x wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -170c66a5 + -4?\nAnswer: -170c66a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.935899l?\nAnswer: 935.899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 4*m + 21. Let t be (-14)\/(-21) + m\/(-3). Find the second derivative of 2*q**t - q + 2*q + q - 7*q**3 wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + 23?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**4 + 0*o**3 + 0 - 10*o - 1\/4*o**5 + 9\/2*o**2. Differentiate t(j) with respect to j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -2\/3 (c) 1 (d) 0.02499\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25861575*w**2 + 36801649*w wrt w.\nAnswer: -51723150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1546 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y - 6. Let o = -16 + 12. Does 4 divide n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 428.6842 days?\nAnswer: 61.2406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:21 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 13*h = -18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5342 = -10*k + 32552. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27006 or 26990?\nAnswer: 27006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 17*h - 2 + 9.\nAnswer: -17*h + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -16\/7, 4, -0.1, -0.43, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-3 - (4\/(-1) + 1)). Suppose 2*w - 503197 = -g, -t*w - 3*g = -6*w + 1006409. Let z = 175600 - w. Round z to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y. Let z(f) be the first derivative of -1\/3*f**3 - 1 + 1\/4*f**4 + 1\/5*f**5 + y*f - 1\/2*f**2. Find b, given that z(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92016 is divided by 30645?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2684 and 123281?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 15, 8, -19, -72, -157, -280, -447?\n\"Answer: -c**3 - c**2 + 17*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*t + 9, 0*t + 3*k = -t - 13. Let h(m) = -149*m**2 - 3*m - 2. Let l(f) = -3391*f**2 - 68*f - 46. Let i(q) = -91*h(q) + 4*l(q). Give i(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29112 = 14502*k - 183202 - 774038 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247.775964 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17067 by 12045.\nAnswer: -5689\/4015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 - 9*q - 2. Let g(z) be the third derivative of z**6\/60 - z**4\/6 - z**3\/6 - 16*z**2. Give 9*g(v) - 4*i(v).\nAnswer: -2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22158 times -956\nAnswer: 21183048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -352, -743, -1154, -1579, -2012, -2447?\n\"Answer: x**3 - 16*x**2 - 350*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 23*u + 90. Let k be r(-14). Let p be 6\/k - (-2 + (-13)\/(-6)). What is the third biggest value in p, -12, -2\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyddidyiyiyd. Give prob of sequence ddyi.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 + 16.2.\nAnswer: -90.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*d - 92 - 8. Find x, given that -11\/3*x - 56\/3*x**4 - 16\/3*x**5 - 1\/3 - 43\/3*x**d - 73\/3*x**3 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(5) + -1)**2 + (2 + sqrt(45) - sqrt(5) - sqrt(5))).\nAnswer: -9 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8357151*m + 8357147*m + 21*b, -3*m + b = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 13*t - 37. Determine m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (20\/15)\/(-1 + (-945)\/81)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.48 + -2.52. Suppose 0 = -d + 6*d. Let t be 1*(2\/5 + d). Is s less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 78 + 6 - q)*(0*q**4 - 2*q**4 + q**4).\nAnswer: q**5 - 63*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*u - 47*u - 28. What is the remainder when 38 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68371777 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -50*r - 987. Give q(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 = 377*h + 1783. Let w(b) = -b. Let t(p) = -3*p - 7. Let s(d) = -t(d) - w(d). Determine s(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64\/14 + 3*(-1)\/(-7). Suppose 12 = -n - 3*n, -g - 3*n = z. Suppose d = 3*v + 38, d + g*d = 2*v + 242. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 1, g: 1, o: 4, h: 5, t: 3}. Give prob of picking 1 o, 2 h, and 1 g.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45458534 and 119845226?\nAnswer: 1318297486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 15 + 194*r - 88*r)*(3*r - 4*r - r).\nAnswer: -212*r**2 + 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60753053689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 10. Suppose c + z = 4*o, 0*c + c + 4*o = -12. Let l(r) = r**3 + 8*r**2 + 7. List the prime factors of l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose -z*i = i. What is i rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/736 and -61\/13248.\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**3 + 7*b**2 - 7*b**2.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6226*v**5 + v**3 + 10*v**2 + 13*v?\nAnswer: -373560*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 596353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/8 and 57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 40*p**2 - 3*p - 157. Let o(v) = -77*v**2 + 5*v + 314. Let b(c) = -5*h(c) - 3*o(c). What is the first derivative of b(w) wrt w?\nAnswer: 62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b + 21. Let u = 29 - b. Calculate the least common multiple of 9 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/4*24\/(-18). Suppose 23*n - c + 2*n**2 - 8*n - 19*n = 0. What is n?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48949178, 48949181, 48949184, 48949187, 48949190, 48949193?\n\"Answer: 3*t + 48949175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7679999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 136*o**3 - 50*o**2 - 4*o + 184241?\nAnswer: 408*o**2 - 100*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 56 = 28. What is the greatest common divisor of 84 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19+-4837\nAnswer: -4837.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 24592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**2\/2 + 5*a + 119. Let d be f(1). Calculate the greatest common factor of 51 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 5. Suppose l + 4*x = 21, -6*l = -s*l + 3*x - 45. Calculate the greatest common divisor of l and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from {s: 2, d: 2, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 830648423 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.57 - -0.77. Which is the smallest value? (a) x (b) 3 (c) -0.5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6013895093 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49724 and 105062?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*u + 27*u - 17*u as c*u + x and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104590?\nAnswer: 2, 5, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, b: 9, i: 2, s: 2}. Give prob of picking 1 s and 1 b.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 128.\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 180*-0.0339\nAnswer: -6.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 224 = -42*u. Solve -u + 19 = -6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102923353 to the nearest integer?\nAnswer: 10145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71051 less than 12.817?\nAnswer: 11.10649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88, 106, 168, 298, 520?\n\"Answer: 4*i**3 - 2*i**2 - 4*i + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -37770525?\nAnswer: -37770530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 174123464 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 9*a = -13*t + 100, -5*a = -7*t + 102 - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + ((-68)\/18 - -1). Let n = 25 + -28. Which is the nearest to p? (a) n (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494 = -720*i + 746*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*o**3 + 634*o**2?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 11:39 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130395639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = 2*y, 0*a - 22 = -y - 2*a. Suppose s + 3*s - y = 0. Suppose -s*j = -8*j - o, -3*o = j. Solve -4*f + 2 + 2 = j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r + 2*q = 19, 4*q = -4*r + 24. Let s = 11 - r. Put 5, -5, s in descending order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 38*t**2\/7 + 50*t\/7 + 12\/7 = 0.\nAnswer: -1, -6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cccccacaccac?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40*(-3)\/84)\/(2\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440796, -440801, -440806?\nAnswer: -440811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 30 + 10*w + 32 - 66 + 4. Let s(j) = -j + 7*j + 5*j - 4*j. What is s(g(a))?\nAnswer: 70*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 984064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18785 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 195 = -5*y - 50, -4*p + 61 = 3*y. Put -1, y, -2, 4 in increasing order.\nAnswer: -2, -1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-18)\/(-4) + -2). Sort -4\/7, -4, s in decreasing order.\nAnswer: s, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -3)*(0 - -3). Let c be -2 - (180\/33)\/d. Let h = 6 + -9\/2. What is the nearest to -9 in -0.4, c, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0205*-297\nAnswer: 6.0885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1757 - 4170 = -170*c + 3933 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3956\/12190)\/(-43)*10\/(4\/2)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 20*y + 43. Calculate i(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - (9 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -97*y**3 - 4. Let f(q) = -11737*q**3 - 485. Calculate 4*f(c) - 485*l(c).\nAnswer: 97*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -506 - -264. Let l = -241.9 - s. Let h = 2 + 1. Which is the nearest to -2? (a) -0.2 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppyytpjppppppptpppp. Give prob of sequence jp.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*4021.\nAnswer: -1206.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56993\/4611 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*b + 566 = 15575 + 6841 for b.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 14*h**2 - 37*h + 17. Let p be d(-4). What is the nearest to 0 in p, 0.41, 0.6?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*w + w + 80 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -414 + 419. Let w(n) = -3*n**2 - 5*n. Let c(z) be the first derivative of -z**3\/3 - z**2 + 10. Calculate q*c(m) - 2*w(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(72\/34 + 2\/(-17)). Solve -11 = -r*k - 5*b, -k - 3*b = 2*b - 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**3 + 1. Let f be a(-2). Let q = f + 51. Suppose 11857113 = r - y - 9442892, 85199990 = q*r + 2*y. Round r to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 14*l - 15. Let i = 45 + -33. Let o(t) = 34*t**2 + 5*t - 6. What is the least common multiple of f(i) and o(1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357442845 by -1731.\nAnswer: -206495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 + 15*c**2 + 44*c - 36. Let v be s(-3). Calculate the greatest common divisor of 1836 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**8\/672 + y**7\/2520 - y**4\/2 + 4*y. Let l(w) be the third derivative of d(w). What is l(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 - v - 1. Suppose -3*w = -2*k + 17, 5*w + 7 = -2*k - 0. Determine h(k).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/22))\/y*y)\/y*y*(((y\/(((y*y**27)\/y)\/y))\/y)\/y)\/y*(y**0)**(4\/3) assuming y is positive.\nAnswer: y**(-593\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:32 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0616 + -278.0616. Let w = -4412 - -4704.3. Let l = q + w. Round l to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 >= -2463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157573523?\nAnswer: 3, 385857841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 169312\/1924 - (12\/2)\/1\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 0.1 (c) 37 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6094*j + 85337. Calculate d(14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11037.\nAnswer: 3, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - (15 + 0 + (8 - 9) + 445 + -471)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghhhangggnnggaggg. What is prob of picking 1 n and 2 a?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.437 rounded to 1 dp?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2750*w**4 - 489502*w**3 - 10644*w**2 + 1958008*w - 1424 = 0.\nAnswer: -2, 1\/1375, 2, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 3. Let g(j) = r - 2*j + 2 - 2 - 8*j**2 + j. What is g(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 5\/2*t**2 + 0*t + 17 - 1\/3*t**3. Determine x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*r + 2)*(14 - 18 + 35) in the form o + u*r and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-10)\/4) + 1. Suppose 0 = -3*d + o + 20, -2*d + 2*o + n*o = -22. Does 10 divide 108\/5 - d\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60.4 - -15.6. Let a = 76.00000078 - j. Round a to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*2\/(-12)*(-39)\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-190)*8*3. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203051635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3545 + 3541. What is the second smallest value in 3, -3, 4, -0.026, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-4)\/((-8)\/(-6)). Let d(c) = 185*c**2 - 10. Is d(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11 - -11) + -20 - 6) + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 9?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04085515 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3676*m - 1933. What is the tens digit of s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004875 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40229181.0963 + 40220026. Let x = p + 9164.9963021. Let b = x + -9.9. What is b rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -8. Let q = 68 + -66. Let d be 2\/q + (-110)\/90. What is the closest to d in -9, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997340 rounded to the nearest ten thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44730 and 945.\nAnswer: 134190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 869 - 877.18. Let i = -8 - h. Let f = i - -0.12. What is the nearest to 0.2 in f, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91 * 0.2.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 9 (b) 15\/11 (c) 78 (d) 0.3 (e) 1\/2 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 2.3593, 8, 1\/3.\nAnswer: -0.14, 1\/3, 2.3593, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 2*s**2 + 0*s**3 + 4*s**3 + 0*s**2. Let o be f(2). Suppose -68*y + 358 = 18. Solve 0 = y*t - t - o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6943 and 524?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 843 divide 6207544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -733f - -738?\nAnswer: -6c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 83417*w**3 - 2*w**2 - 2*w**4 - 85438*w**3 + 3*w**2 in the form x*w + d + l*w**2 + q*w**3 + c*w**4 and give q.\nAnswer: -2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2*(-414)\/207\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133012 (base 4) to base 14.\nAnswer: 230a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12873486019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h**3 - 7*h - 249*h**2 - 15*h**3 + 251*h**2 - 101*h**4 as w + f*h**2 + c*h**4 + q*h + t*h**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -19, 26, 1 in decreasing order.\nAnswer: 36, 26, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (41 - 51) + 101 - (-1 + -2).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 74 + 76 = 0. Let h be ((-68)\/(-85))\/(z\/10*-2). Calculate the greatest common divisor of h and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 7*n**2 - 17*n + 18. Determine a(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*(p*p**(-6))\/p*p*p))**(-2\/67)\/(p**(9\/8)\/(p*p*p**(-21))) assuming p is positive.\nAnswer: p**(-10835\/536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123.35 - 28.91. What is n rounded to zero dps?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-30 + 9 - 14 + 2*u).\nAnswer: -2*u + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 + -122. Let w be (10\/4 - h)*(-9 - -19). Let g(j) = -w*j**2 + 9*j**2 - 5*j**2 + 3*j**2. Let a(m) = -9*m. Give a(g(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*d**3 + 36 + 62*d + 2\/9*d**4 + 274\/9*d**2.\nAnswer: 2*(d + 1)*(d + 2)*(d + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:31 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423701, -423811, -424087, -424613, -425473, -426751, -428531?\nAnswer: -430897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -483\/151 or -4?\nAnswer: -483\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -79344, 521, 0.4?\nAnswer: 521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2\/(-1))\/((-44)\/(-44))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96324 and 3210156?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 36\/(-12) + (120 - 0). What is the highest common factor of o and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/4)*w)\/w*w)**(3\/37))**(-18)*(w**(-5)*w\/w**(-2))\/(((w*w*w\/w**1)\/w)\/(w**(-5\/6)*w)) assuming w is positive.\nAnswer: w**(-436\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 154 + 74 = 34*k. Let v(h) = 17*h + 1. Let b(m) = 4*m. Determine k*v(g) - 26*b(g).\nAnswer: -2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 43*s**8\/336 - s**5 - 67*s**2\/2 - 6*s. Let u(z) be the first derivative of l(z). Find the third derivative of u(j) wrt j.\nAnswer: 2580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -115. Is -105*((-203)\/u + 4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + 51\/9. Suppose f*z - 45 = z. Calculate the remainder when 17 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**2 - 3*f + 2. Let d be l(2). Is -39 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14900 divided by 4?\nAnswer: 3725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7032 is divided by 83.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 - 68*n**2)*(-2*n**3 - 2*n**3 + 6*n**3)*(23 + 6 + 13).\nAnswer: -5712*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Let d = 4 + -6. Let r = -0.3 - -0.3. Which is the second smallest value? (a) d (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 72*g - 2142. Calculate q(30).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-105))\/((32\/(-12))\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2388, -2\/59, -2?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5 = -3*s, -4 = 5*s + 3*o - 17. Suppose s = 3*n - n - f, -2*n - f + 10 = 0. Suppose 1160 = 2*t + n*t. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/407363 and -75\/6517808.\nAnswer: 6517808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (0\/15)\/(1*3). Solve m = 2*y + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2330 - -1000103?\nAnswer: 331113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*s + 9. Find the first derivative of -s*h**3 + 0*h**3 - 22 - 7*h**3 wrt h.\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.170206us to days.\nAnswer: 0.000000000650118125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from uucqunh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1461432559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100101 (base 4) to base 9\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - 120\/(-14))\/((-20)\/(-7)) and 21\/122.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151*b + 44*b - 58*b - 56 - 155 - 7 wrt b.\nAnswer: -165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*p + 15 - 5 = 0, 0 = -3*s + 2*p - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + 12*r - 11. Let z(n) = 5*n**2 - 13*n + 12. Let u(q) = -6*x(q) - 5*z(q). List the prime factors of u(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7354, 8299, 9242, 10183, 11122, 12059, 12994?\n\"Answer: -j**2 + 948*j + 6407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 519 + -366. What is the highest common divisor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 73?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 5. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwz when four letters picked without replacement from {w: 5, z: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/40 or 1\/2?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 740 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*i + 1207 - 37 = 140*i - 1030 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {h: 1, p: 3, s: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9 + (-3)\/(-9). Suppose o*l - l + 57 = 4*g, -3*l - 3*g = -126. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5*s + 2*s**4 + 2\/5*s**5 + 18\/5*s**3 + 0 + 14\/5*s**2 = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117.0094 - -117. What is u rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-1302)\/(-468)) + 4\/6. Suppose c + 13*c - 14 = 0. Is p > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/5 (b) -6\/5 (c) -4 (d) 152 (e) -3\/2 (f) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 18*t**4\/13 - 186*t**3\/13 - 886*t**2\/13 - 526*t\/13 - 84\/13 = 0.\nAnswer: -3, -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37 - (33 + (20 - 35)). Solve 28 + 10 = -v*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 11*l**3 - 4*l**2 - 9*l - 4. Let n(b) = 21*b**3 - 7*b**2 - 18*b - 7. Let s(x) = -4*n(x) + 7*z(x). Find the second derivative of s(t) wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 18 - 3*l**3 + 18)*(-1 + 2 + 2).\nAnswer: -9*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*z - 99*z = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b = -12. Let z = 10 + b. Sort 0.5, 1, -1\/3, z in descending order.\nAnswer: z, 1, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 0*a**2 + a**2)*(-2 - 1 + 7).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r. Suppose c = 2*n + 4, -5*c + 1 = -4*n - 1. Let j(d) = -d**3 - 4*d**2 - 4*d - 2. Let i be j(c). Give t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {b: 3, c: 2, o: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 14662 = -10650. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(68)*2 - sqrt(68) - sqrt(68)) + (-3*(sqrt(68) + (sqrt(68)*2 - sqrt(68))) - sqrt(68)))\/((-2*sqrt(1152) - sqrt(1152))\/sqrt(2)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001505717519 to 6 dps.\nAnswer: -0.001506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47614.14 decades in centuries?\nAnswer: 4761.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2 and 63\/17014?\nAnswer: 17014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, l: 2, q: 9, v: 1}. What is prob of picking 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303304 = 5463*j + 20070 + 65125 + 64930 for j.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000476430688 rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2213212 and 2?\nAnswer: 2213212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230191 = 78*u - 91*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647719111 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15888*t + 15891*t = 34170. Is t a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/(-8))\/((-9)\/24). Suppose 3*j = q - z, -6*j - 29 = -4*q - 3*j. Let r = q + -3. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3 = 9*r - 11*r, 1 = k + 4*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-23)\/1)\/(150272\/(-30048) + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t + 3*f - 165, 3*t - 2*f = 241. What is the remainder when t is divided by (-1 - -8)\/((-1)\/(-3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20*w + 5. Suppose 0*z + 2*i - 34 = -3*z, 5*z + 5*i - 65 = 0. Let k be d(z). Calculate the greatest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 9*m**2 + 18*m - 21. Let j be d(7). Let h(v) = -v**3 + 7*v**2 - v + 4. Give h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 15 + 7*k - 7*k)*(-1 + 0 + 0).\nAnswer: -2*k + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) + 747831\/432. Let n = 3465\/2 - w. Let j = 195389\/24 - 8137. Calculate the common denominator of n and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268587860, 537175726, 805763604, 1074351500, 1342939420, 1611527370, 1880115356, 2148703384?\nAnswer: 2417291460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 1 - 21\/(-3). What is the greatest common divisor of 121 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -11320212?\nAnswer: 11320215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 264. What is the remainder when q is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7679 divided by 10.\nAnswer: -7679\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**23*x*x*(x*x*x**(-1))\/x assuming x is positive.\nAnswer: x**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**2*i**2*z + 671*h**2*i*z + 11*h**2 + h*i**2 + 5*h wrt z?\nAnswer: -2*h**2*i**2 + 671*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 1 + 1)*(-2*f - 2*f + 6*f)*(-4*f**2 - 5 + 5).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/84? (a) -5 (b) 1\/6 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55134529*j**2*q**2 + j*q**2 + 5*j*q - j + 5*q + 200409 wrt j?\nAnswer: -110269058*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqk when three letters picked without replacement from {s: 6, k: 1, q: 11}?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 7*v - 3*v. Let i = 48 + v. What is the remainder when i is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let l(f) be the second derivative of -5*f**3\/2 + 53*f. Let u(y) = l(y) - 6*v(y). Let i(x) = 27*x**2 + 1. What is u(i(w))?\nAnswer: -81*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3424.075 + -3493. Let x = l - -38.8. Let z = x + 30. Are z and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -18, -24, -30, -36?\n\"Answer: -6*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284989 + 27*s**2 + 1284989.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 187. Let j = 2 - 5. What is the hundreds digit of (1 - -10)*(j + u - -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 3*j - 1. Let f be k(3). Suppose -4*l + 8 = -f. Suppose -l*z + 44 = -100. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {i: 1, d: 1, j: 4, b: 1, g: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155566, -155492, -155418, -155344, -155270?\nAnswer: -155196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2574, -1670, 750, 5430, 13114?\nAnswer: 24546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (7\/114)\/(6699\/(-2871))\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67562 divided by -83?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*l - 2*l - 10 = 0, 5*l = -15. Does 14 divide (2 + -9)*(z - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.003, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5792 - -8462. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 5)*-1 - (-1 + -6). Let q(z) be the second derivative of -3\/2*z**2 + 2\/3*z**s + 1\/12*z**4 - 21*z + 0. What is q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-16)\/(a\/(a*a**6))*((a*a\/(a**(-2\/15)*a*a))\/a)**(2\/7))**(9\/4) assuming a is positive.\nAnswer: a**(-807\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a, 124 = -2*k - k + 5*a. Let j = 50 + k. Calculate the remainder when 4 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43124, 2\/19, 1\/3, 1, 12 in increasing order.\nAnswer: -43124, 2\/19, 1\/3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 1108*k - 14177. What is l(13)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 divided by -8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*s + 19635017 + 6499968, 3*s = -m - 5226991. What is m rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/24 and 113\/919506.\nAnswer: 3678024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -170030.7 rounded to the nearest one hundred?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 1672.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5249 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k. Let i(c) be the first derivative of 7*c**2 + 184. Determine m(i(p)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 u when four letters picked without replacement from eueeueuueu?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -59, 0.3, -1\/4, 2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -14. Let u = l + -11. Let z(y) be the second derivative of 2*y**3\/3 + y**2\/2 - 2*y. Give z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 14*p**2 + 8*p - 27. Is z(-13) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -611\/28 + 93\/4. Is u smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**4\/3 + 2*z**3\/3 + z**2 + 10*z. Let v(j) = j**2 - 3 - 2*j + 5*j**2 + j**2 - 5*j. Give -5*o(p) - 3*v(p).\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506856 is divided by 126701.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 15*w**2 - 12. Does 50 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15170573?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 + 0 = 0. Let d = 3 + l. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -28. What is the biggest value in 0.4, d, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 29\/3779504 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132501032.\nAnswer: 2, 16562629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 8. Let y be (0 + -3)*204\/36. Let t = y + 17. Calculate k(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 89 + 2*k)*(-4*k + 3*k - k)*(-5*k + 3*k + k)*(-4 + 0 + 9).\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9817038 a multiple of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3984 and -53\/2988.\nAnswer: 11952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t**2 - 4*t. Let w(s) = 3*s + 4. Let f(z) = -8*z - 11. Let i(c) = -4*f(c) - 11*w(c). Calculate i(g(l)).\nAnswer: -13*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:28 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**(1\/12)\/(o**(-1))**(-4))**(-2\/29) assuming o is positive.\nAnswer: o**(169\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*(15\/78)\/(-5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5933*m - 8. Let s(f) = 11851*f + 14. Let n(g) = 7*q(g) + 4*s(g). Let t(c) = -c**2. Determine t(n(d)).\nAnswer: -34492129*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14905 is divided by 7447?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8427 times 15.26\nAnswer: 128596.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4581711ug in grams?\nAnswer: 0.0000004581711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckqcllt. Give prob of picking 1 l and 2 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l + 25. Calculate o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + 0*w**4 - w**4 + (2*w**2 + 3*w - 3*w)*((-10 - 3*w + 10)*(-2 - w + 2) - 9*w + 9*w + 6*w**2).\nAnswer: 17*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7237*t + 236*t**2 - 7237*t - 4*t**2 - 4*t**2 + 6*t**2 + (5*t - t - 2*t)*(3*t - 2*t - 2*t) to the form b*t + y + s*t**2 and give s.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10099\/130 - -954\/13. Calculate the common denominator of t and (632\/(-20))\/(12\/(-5)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(162)*-4*2)**2.\nAnswer: -41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 7, 0.1, -3\/5, -55, 0 in decreasing order.\nAnswer: 7, 1\/7, 0.1, 0, -3\/5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1277967 + 0.00344\nAnswer: -1277966.99656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933936911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 111*p - 31828. Calculate the remainder when p is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1755 divided by 6?\nAnswer: -585\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1562731 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.6967 days in microseconds?\nAnswer: 76005794880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2015 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -51178, 0.3, 0, -4 in increasing order.\nAnswer: -51178, -4, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:26 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let r(q) be the second derivative of q**4\/3 - q**3\/2 + 5*q. Let g(n) = -n**2 + n. Let z(d) = 3*g(d) + r(d). What is z(k(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 8*q + 5. Is q equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 138\/(-9) + 2)*(-2163)\/(-1442)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45811.837 rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5954*i**2 - 16181*i wrt i.\nAnswer: -11908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:38 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 (base 12) in base 4?\nAnswer: -20031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -5, 5\/2, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1286 - 194*k + 1286 + 194*k - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1415816.884 to the nearest 1000.\nAnswer: 1416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 534, 18, -4, -91 in descending order.\nAnswer: 534, 18, 14, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -35, 5, 4\/21, 4, 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3225\/56 - 341\/7. Let g(k) = -544*k**2 - 3*k - 3. Let n be g(3). Let f = n + 29359\/6. What is the common denominator of f and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83 + 12*j + 5*j**2 - j**2 + 31 + 36*j.\nAnswer: 4*(j - 1)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 17 = 2*p + 2*p, 28 = 5*m - p. Suppose 5 = -3*l + m*z - 3, 4*l + 3*z = 28. Solve 2 = l*a - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.28599262 to 2 dps.\nAnswer: -6.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2751 and 31\/131.\nAnswer: 2751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900\/(-8)*(12342\/55)\/(-17) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-176)\/(-6))\/((-8)\/(-12)). What is the highest common divisor of m and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1174? (a) -3 (b) -3\/4 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -2.27\nAnswer: 0.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 - (-64 + 84) - -56.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 - 11 + 531*u + 446*u.\nAnswer: 977*u - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -93*f + 70. Calculate d(2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(76)\/(sqrt(8)\/sqrt(2)*5).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 13*h**2 - h - 309. Let r(q) = 2*q**2 + 2. Let j(w) = -p(w) + 6*r(w). Let l(m) = -m. Calculate j(l(z)).\nAnswer: -z**2 - z + 321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1251 = -2*x + 495, 0 = 2*x - 3*m - 1718. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 138*v**3 - 15*v - 4. Let r(u) = 413*u**3 - 51*u - 13. Give -2*r(o) + 7*z(o).\nAnswer: 140*o**3 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 31. Let z(q) = q**2 + 5*q + 4. Let n be z(l). Factor -n*w**3 - 100*w - 13*w**2 + 0*w**3 - 27*w**2.\nAnswer: -4*w*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from booooboobooobooooo. Give prob of sequence oobb.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 27\/(-15)) + 2. What is the nearest to 2\/3 in 0, -4, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-2)\/(-2))*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -61*h**2 + 429*h - 12. Give r(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*i - 10 = -4*m, -5*m = i - 5. Solve -3*h + 4*x + 35 = m, -3*h + 7 + 13 = -x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 750*k**3 - 892*k**2 + 12*k + 3. Let p(g) = -748*g**3 + 891*g**2 - 8*g - 2. Let j(o) = -2*i(o) - 3*p(o). Find the third derivative of j(y) wrt y.\nAnswer: 4464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 17*n**6\/10 + n**5\/20 + 98*n**3\/3 - 74*n. What is the second derivative of t(b) wrt b?\nAnswer: 612*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*u + 232 - 148 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ttsttss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7017 + 9864 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 5, -2*d = f + 64. Let q = -57 - f. Let r be (((-6)\/3)\/(-2))\/(q + -1). What is the third smallest value in 5\/3, r, -3\/4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -764*f*h*k*o**2 + f*h*o**2 - h*k*o**2 - 4*h*o**2 + 187*h wrt f?\nAnswer: -764*h*k*o**2 + h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-8)\/(-36)). Suppose -5*o + 6 = -6*o + 2*y, 0 = -2*o + l*y - 9. Suppose o = 4*z - 69 + 21. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68615 + -1166133\/17. Which is smaller: 18 or g?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7081100 rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74606 is divided by 74550?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d895 - 8?\nAnswer: d88c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -13*i**3\/6 - 90*i. Let g(u) = -38*u. Determine g(k(v)).\nAnswer: 494*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 1. Let w be k(-2). Let y = -2.1 - -2. Which is the nearest to 1\/4? (a) y (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 8\/6)\/((-1)\/6). Let n = 0 + 2. Let k(l) = 5*l - 3*l - 3 + n*l**2 - w + l**3 - 8*l**2. Calculate k(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 2*a + 42 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2830 and 22?\nAnswer: 31130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 153555 times 10797?\nAnswer: 1657933335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/84*6)\/(2\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 37) + -2 + 12 + -20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 - -150. Let c be -1 + 0 + 1027\/1060. Let s = c + -1\/53. Is s at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2247500 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9601, -9718, -9913, -10186?\nAnswer: -10537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3844 - 5564. Let q = r - -2505. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 26*b. Let k(o) be the second derivative of -o**3\/2 + 1699*o. What is -26*k(s) - 2*l(s)?\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/3*m**4 + 1\/6*m**5 + 3*m**2 - 2*m**3 + 9\/2*m = 0. Calculate m.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -6. Let z(d) = d**2. Let m(u) = 5*u**2 + u + 1. Let v(s) = m(s) - 6*z(s). Let l(o) = 4*o**2 - 4*o - 3. Calculate x*l(t) - 7*v(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2397 in 3, 0.4, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 43 = w, -2*o + 32 = -0*o - 4*w. Let l = 136 - o. Let j = l - 48. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.129 * 0.4.\nAnswer: 0.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 11, c: 3}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:41 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26914 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.3 + 7. Let v = -3544 - -3541. Is m at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -11db76?\nAnswer: 11db77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 2, r: 1, k: 1}. Give prob of sequence ckp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -829 - 1170. Let f = a - 21959\/11. Calculate the common denominator of f and 48\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) 2 (d) 16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/(-70)*84\/9. Find the second derivative of -w*x - 2*x**2 + 146*x + 4*x**2 + 63*x**3 wrt x.\nAnswer: 378*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173157 divided by 5.\nAnswer: 173157\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u = 47*u + 4. Sort -16, 1, u, -5 in decreasing order.\nAnswer: u, 1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(10) - (sqrt(10) - ((-1*sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(7)))\/(sqrt(6)\/(sqrt(9)\/sqrt(3)))*1.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 112*q + 9. Let b(x) = -x - 2. Let h(l) = -2*b(l) - y(l). Is 10 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h = 20*h + 86 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -71.95+24.4\nAnswer: -47.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 125746.\nAnswer: -1\/125746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, x: 1, q: 1, h: 3}. Give prob of picking 1 h and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*o + 4*c + 2, -2*c - 12 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*c + 377615, -15*c = -17*c + 2*y + 251742. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1043 (base 6) to base 14.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q**2 + 6*q - 3. Let t be c(-5). Suppose t + 2438 = 5*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Let r(n) = n**2 - 8*n + 3 - 4*n**2 + 2*n**h - 20*n. List the prime factors of r(-13).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85856730 - 21?\nAnswer: 85856708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 68, -36, -3, -76?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -6*o**2 - 3. Let u(n) = -2*n - 1. Let x be u(-6). Let h(z) = -6 + 17 - 2*z - x. Give s(h(c)).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (135\/12)\/3*-4. Let o = n + 164\/11. Which is the second smallest value? (a) -2\/11 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 1, m: 2, f: 1}. What is prob of sequence mmf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 457238600 rounded to the nearest one million?\nAnswer: 457000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 26*o = -28. Let p(f) = 10*f - 10. Let m be p(o). Let h = -38 + m. Calculate the lowest common multiple of 16 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -10*l**3 - 664035*l**2 - 996020*l + 664020 = 0?\nAnswer: -66402, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 1503*d\/5 + 13122.\nAnswer: (d + 45)*(d + 1458)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + (-69)\/(-12))*(-4)\/6. Let w be (-8)\/4 - (-2 - 0). Suppose 3*n - 4*s - 1 = w, -s + 6 + 15 = -5*n. Put a, n, -1\/5 in increasing order.\nAnswer: n, a, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19233*c - 171158 = -22184*c for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)*j*j)**(-29)*(j**(-4))**(-6\/11) assuming j is positive.\nAnswer: j**(-3389\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 284 - 317. Which is the nearest to h? (a) -4\/7 (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29931 or -688402\/23?\nAnswer: -688402\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*31*(-1)\/4. Let k = -509 + 514. Suppose k*s - x + 6 = -5*p, -2*p = -3*s. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42 and 3022.6.\nAnswer: 126949.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1913 is divided by 475?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + l = -4*l + 21, 4*a + 4*l - 20 = 0. Suppose -5*o + 4*i + 97 - a = 0, o + 3*i = 11. Suppose -9*q = -o*q + 640. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1461307 + -1837593. What is a rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + -1 - (-90)\/(-4) and 22\/8 + -3 + (-39)\/28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - a + 4*a + 0*a - 3*a + 2*a + (-4 + 1 + 1)*(0*a + 2*a - a) - a - 2*a + 4*a + 76*a + 176 - 178 - 15*a - a + 5*a - 3*a + (0*a - a + 3*a)*(-4 - 5 - 2).\nAnswer: 39*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 956441376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8371080829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 6*b**2. What is the tens digit of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 15*n**2 - 37*n. List the prime factors of s(-16).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -110100010000010010110000001?\nAnswer: 110100010000010010110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379.\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289 and 1224?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 25 = 3*i - 3*d, 4*d = 0. Let r = 8 + i. Factor -1\/2*u + 1\/2*u**r - 1\/2*u**4 + 0 + 1\/2*u**2.\nAnswer: -u*(u - 1)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, -1802 in descending order.\nAnswer: -4, -23, -1802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36938\/513 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2184259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874424012 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19047 and 87072?\nAnswer: 609504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 - 66331*o**4 + 1127242*o**3 + 6366396*o**2 - 16711128*o = 0. What is o?\nAnswer: -6, 0, 2, 21, 66314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 16. Are o and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12305 - -131?\nAnswer: 12440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/28*22*37\/2849\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Let w be (t - 2) + (0 - -3). Suppose 30 = -h + w*h. Calculate the remainder when 19 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -7. Let r = f + 8. Let x = r - 6. Which is smaller: x or 1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 62. Let y = -0.06 - 0.34. Let h be (-14)\/(-24) + 3\/(-12). Sort y, h, l in decreasing order.\nAnswer: h, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -49520, -4, 4, 2\/5, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18194, -36344, -54494, -72644, -90794, -108944?\nAnswer: -127094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -12*w - 20 - 152*w**2 + 5*w + 161*w**2 + w. What is the tens digit of n(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57011 is divided by 1361?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l - 4. Let h be v(-4). Suppose 0 = -5*o + 10, 271*g - 268*g = 2*o + 32. Let m = h - g. Solve -m*s + 32 = -4*c, -4*c - 10 - 17 = -3*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + 0 + 0)*(3 + 3*r - 3) - 113*r + 2*r**5 + 1032*r**2 - 1032*r**2.\nAnswer: 5*r**5 - 113*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 51 = 2*w, 333 = -102*g - 3*w - 84 - 321 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3814 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0112861433 to 6 dps.\nAnswer: -0.011286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - w + 1441*w**2 - 1446*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69150 and 2250?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3. Let d = 8995 + -8997. Let g(w) = 10 + 4 + 1 - w. Calculate d*g(h) + 11*v(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20015817.\nAnswer: 3, 17, 392467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -279*g**4 - 2*g**3 + 4032*g + 23156234?\nAnswer: -1116*g**3 - 6*g**2 + 4032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**4\/4 - 5*p**3\/3 - 2*p**2 - 5. Does 12 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 348, 771, 1360?\nAnswer: 2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.1 (b) -261 (c) 2\/101 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 3 - 2*v + 0*v + 7*v to a*v + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1134460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -115*a**2 - a - 1\/15*a**5 - 28*a**3 + 0 - 23\/6*a**4. Factor i(x).\nAnswer: -4*(x + 2)*(x + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4 + 9*p**3 - 867*p**2 - 2601*p = 0. Calculate p.\nAnswer: -17, -3, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107135 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -24 (b) 14 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*v**2 + 0 + 3\/2*v**4 + 21\/2*v**3 + 18*v.\nAnswer: 3*v*(v + 2)**2*(v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 12) + (0 - 242). Let x = m + 599. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109406 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.05. Let r = u - 0. Let j = -1.05 - r. Sort 2\/3, -5\/2, j in ascending order.\nAnswer: -5\/2, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20722 divided by 732.\nAnswer: 10361\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)\/c)\/c*c*c*c**(9\/4))**(3\/7)\/((c**(-3\/13)\/c)\/(c\/(c*c\/(c\/c**(-5)))))**38 assuming c is positive.\nAnswer: c**(61833\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0753425 rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 4, 5, 12 in descending order.\nAnswer: 53, 12, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*l**3 + 40558*l**2 - 81507*l**2 + 40949*l**2.\nAnswer: 217*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 - t + 8. Suppose 0 = 4*o - 0*s + 4*s - 40, -5*s + 32 = 2*o. Let d be l(o). Solve 5 - 3 = -d*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*11745.\nAnswer: 5872.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x**2 + 2*x + 3. Let b(d) = -3*d**3 + 11*d**2 + 5*d + 8. Suppose -3*a - 4*i + 5 = 0, -2*i = 3*a + 2 - 9. Calculate a*b(q) - 8*w(q).\nAnswer: -q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*m - 4*m - 1, 0 = -3*b + 15. Solve m*d - 13*d = 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m - 50*m - 25*m - 18*m + 152*m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10650066165 + 224545994969357\/21084. Let w = c - -10\/5271. Calculate the common denominator of -41\/8 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-3)\/9*-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3069 + -3036 + (-48 - 2) - (1 + -1 + -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(2*r**4 + 5*r - 5*r) + 3*r**4 - 1 + 91*r - r - 4*r**4.\nAnswer: -3*r**4 + 90*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131 and 32750?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 11, -7, 4, 0, -0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 6. Let v(m) = 10*m**2 + 23*m + 44. Let f(c) = 3*c**2 + 2. Let t(r) = 3*f(r) - v(r). What is the units digit of t(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35220 at most as big as -246542\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.67, -17\/5, 2, -0.6, 0.3, 4\/5 in ascending order.\nAnswer: -17\/5, -0.6, 0.3, 4\/5, 2, 9.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 4, -15, 2, 3\/2 in decreasing order.\nAnswer: 65, 4, 2, 3\/2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 - -0.13999978. Round y to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 - 159.\nAnswer: -159.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55108934 - -2?\nAnswer: -55108932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-63))\/(4\/(72\/27))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9763 + -9762.9999948068. What is x rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 45 + 6 + 4*s + 61 - 48. Calculate the lowest common multiple of 75 and y(14).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 32*h**2 + h - 24. Suppose -4*u = -2*u + 3*u. Suppose -4*z = -u - 44. Calculate the lowest common multiple of z and a(32).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itutjaje. Give prob of sequence eu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1bb2e9?\nAnswer: -1bb2ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 85*k**2 + 185*k - 95.\nAnswer: -5*(k - 1)**2*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36471 or -36470?\nAnswer: -36471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055346097 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -23*r + 87. Calculate z(23).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -466, -470, -478, -490, -506?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*y - 12, 2*y - 24 = -9*l + 4*l. Suppose -2*n = -0*n - 4*h - y, -2*h = 2. Let v be -1*(-8)\/20*n\/(-7). Is v at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n - 32. Calculate i(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*sqrt(99)*2)\/(3*(sqrt(18)\/sqrt(2) + sqrt(9)) - sqrt(9)) + 1*(-1 + sqrt(11))*5*5)**2.\nAnswer: -1230*sqrt(11) + 181969\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -2) + -44 + -30.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = 1. Solve 2*s - x + 5 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-12)\/15)\/4)\/(-1). Let z = -874 + 917.9. Let i = -44 + z. Which is the closest to i? (a) 1 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 + 12*k + 804. Calculate s(-21).\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + y**3 + 22*y**4 - 24*y**4)*(1 + 1 - 3).\nAnswer: 2*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005238 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - 3 - p**3 + 3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2. Let k(h) = -361*h + 714*h - 354*h. Let p(l) = -10*l. Let v(j) = -25*k(j) + 3*p(j). Determine t(v(g)).\nAnswer: -175*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(-1\/11)*((f*f**(-1\/2))\/f)\/f*f**(1\/2)*f*(f**(1\/2))**(-40)*f\/(f\/(f\/(f**7*f)))*f**(-2\/3) assuming f is positive.\nAnswer: f**(-6385\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15071 in -13, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5724 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149, -1298, -3777, -7282, -11807, -17346, -23893, -31442?\n\"Answer: v**3 - 522*v**2 + 112*v + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 0) + 0 + -2 + 2. Suppose -3*s - 28 = -b*s. Solve -4*u + 26 = 5*k, 4*k + 14 - 6 = s*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828 - 103 = -389*r + 236 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9844790 rounded to the nearest one hundred thousand?\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3403 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 12*a - 608746 - 1708118 = 0. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/(1\/6). Let d be -1 + -1 + (-1 - -5). Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c26 (base 16) to base 8.\nAnswer: -6046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6881*y**2 - 5. Let o(s) = 354363*s**2 + 258. Determine 258*f(m) + 5*o(m).\nAnswer: -3483*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 2301 = 5224. What is the highest common divisor of 172 and j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4876 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 590879 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - 0 - -3) + 4. Which is the fourth smallest value? (a) z (b) -2\/5 (c) -6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*b - 2*b. Suppose -b*y + 18*y - 7 = 0. Suppose 4*s + 5*g - 3 = 0, 0*s = -5*s - g + 9. Solve -s*u = -y*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/1*6\/51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2502*m + 4672*m + 1054*m)*(-2 + 6 - 3) as b*m + o and give b.\nAnswer: 8228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 2*m - m - 3*m - 29*m - 19*m + (-1 + 2*m + 1)*(4 - 3 - 3).\nAnswer: -62*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**3 - 25*p**2 + 282*p - 836. Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 + 3*y + 3. Let d(k) = 23*k**2 - 17*k - 17. Let p(i) = -34*a(i) - 6*d(i). Let v(q) = -34*q. Determine v(p(b)).\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6054013 + 2?\nAnswer: 6054015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y*y*y*(y\/(y*y**(-21\/2))*y)\/y*y)\/((y*y\/(y*((((y\/y**(-2\/11))\/y)\/y)\/y)\/y))\/(y\/(y*y*y**39)*y)) assuming y is positive.\nAnswer: y**(-1825\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -14) + 43 - 107.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3227\/3 + 1054. What is the common denominator of -2\/59 and m?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 44 = 12. Solve -40 = 24*v - r*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*h - 6710 = 2146 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-28)*i*i*i*i**7 assuming i is positive.\nAnswer: i**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/((-3)\/(-16)). Let d be (-516)\/(-30) + 12\/h. Let y = 31\/2 - d. Which is the biggest value? (a) y (b) 0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90910 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*o - 77*o + 65. Sort o, 3, 5, -1, 7 in decreasing order.\nAnswer: o, 7, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*s**5 - 20*s**5 + 17*s**5 + (s**2 + 0*s + 0*s)*(0*s**3 - 3*s**3 + 4*s**3) + 4*s**5 - 9*s**5 - 4*s**5.\nAnswer: -40*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*k + 34 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1782 (base 11) to base 3.\nAnswer: -10010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/263 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -5338 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557241923?\nAnswer: 7, 73, 1090493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/4 + -5 - -1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-1866)\/(-72) + (-2)\/8. Let t = a - -78. Solve 5 + t = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 42342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*r - 61 = 0, 4*l - 5*r - 40 - 38 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171804, 343585, 515354, 687105, 858832, 1030529, 1202190, 1373809?\nAnswer: 1545380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 199*k - 2559. Give j(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 25*q**2 + 19*q**3 + 25*q**2.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i**2 + 8*i + 5. Let d be s(-1). Solve 0*g + 4*g + 20 = 4*b, -3*g - 17 = -d*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -76. What is the lowest common multiple of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.4. Let s = 3.04 - 1.2. Let q = s + 0.16. What is the smallest value in -2, q, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220492934 plus -0.89?\nAnswer: 1220492933.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 6841 - 6817 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-3))\/(s*s**(-3)))\/(s**(-2\/11)\/(s*(s\/(s*s*(s\/s**(-1\/11))\/s*s))\/s)))\/((s\/s**(-4))\/s*s*s*((s**(2\/9)*s)\/s)\/s*s)**(1\/5) assuming s is positive.\nAnswer: s**(-1561\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 471817839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -0.3 (c) -27\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*o**2 - 6 - 2*o.\nAnswer: 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 32?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (2\/(-1))\/(60\/(-87)). Let z(u) be the second derivative of -3*u + 0 - u**3 + 1\/2*u**4 + u**2 - p*u**5. Factor z(l).\nAnswer: -2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*j - 8. What is the third derivative of 6*m**j + 3*m**3 - 9*m**2 - 4*m**3 + 4*m**2 wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1097*u + 629*u - 339*u + 377*u to j*u + c and give j.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, v: 5}. Give prob of sequence vvhh.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849746.\nAnswer: 2, 479, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0143 in 0.3, 0, -1.458, 3\/7, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073352 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from uor.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.207636 to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136312 or 136327?\nAnswer: 136327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 150637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56558973.\nAnswer: 3, 31, 608161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - o + 5. Let b be x(4). Suppose -b + 45 = -7*m. What is the second biggest value in m, 0.4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 292 and 16?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1. Suppose -17 + 8 = 9*c. Let r(y) = -2*y - 10. Calculate c*r(b) - 8*v(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*60\/(-1512)*567\/270*(-44)\/7.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 1, 6, 2\/19 in descending order.\nAnswer: 6, 1, 2\/19, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 29 = -5*y. Suppose -k = -2*x + 54, 4*x - 92 = -5*k + y. Suppose 2 - x = -2*z. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 11 - 27, -3*n = -l - 48553. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 23*t**2 + 23*t - 25. Calculate a(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 101829 = 28964. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18789.12ng to tonnes.\nAnswer: 0.00000000001878912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/23 (b) 3\/11 (c) 0 (d) -14.3 (e) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*w - 2*w + 8, -2*w + 32 = 4*t. Let z = t - 5. Suppose a - 3*r = -2*a + 57, -z*a - 2*r = -46. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = q - 81. Let t = q - 314. Are -175 and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/8426, 86, 4, -0.03 in decreasing order.\nAnswer: 86, 4, 1\/8426, 0, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 5*p**2 - 5*p - 5. Let f(w) = 3*w**3 + 3*w**2 - 3*w - 1. Let n be f(1). Suppose -q + n*q = 20. Let y(z) = z**2 - z - 1. Give q*y(v) - 4*j(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -4099 and -4100 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 196577 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) + (2*sqrt(640) + sqrt(640))*2 + sqrt(640))\/(sqrt(800) - (sqrt(800) + (sqrt(800) - (sqrt(800) - -1*sqrt(800)))*-6 - sqrt(800)))*2)**2.\nAnswer: 1024\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14*b**2 + 6*b - 8. Let t be s(5). What is the second derivative of -14*c**5 - 11*c + t - 372 wrt c?\nAnswer: -280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 2*i)*(0*i + 3 + i - 7535*i**2 + 7529*i**2).\nAnswer: 12*i**3 - 2*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 28.919. Let y = 0.1551 + 0.8159. Let v = y + r. Round v to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*n - 0*c + 453, 5*c = -2*n - 321. Let p = -25247\/165 - n. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*g = -50*u - 896*g - 962, -u + g = 22 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541353962?\nAnswer: 2, 29, 241, 38729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:33 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11224 - -29853. Calculate the remainder when j is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -7*x**2\/2 + 472. Let g(w) = 9*w**2 + 4. Determine i(g(n)).\nAnswer: -63*n**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 100 = -2*f - 104, 5*f = 5*g. Calculate the least common multiple of g and 14784.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, u: 1, o: 5, s: 6}. What is prob of sequence uoo?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((702\/(-22))\/9 - 4) + 1*7. Which is the fourth smallest value? (a) 0.07 (b) -0.4 (c) -4\/7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-104))\/(1\/(-58)). Let b be (-7 + 13\/26 + 7)\/(2\/(-4)). Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-24) - 8\/((-144)\/(-64746006)). What is s rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12103 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 4 + -5 + 12 + -25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c1 + 50e10?\nAnswer: 50b3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a - 3da?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*1\/(18\/(-4)) - (-194790)\/2718\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1322a3 - -5?\nAnswer: -13229c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + w = 6*w + 3, 0 = -5*n - 3*w + 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-24)*-74 - (-1)\/(-3). Suppose 5*q = 4*c + s, -3*q + 2*c + 1 = -5. Is -1\/16 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 4*s**2 - s + 4. Give j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 3. Let p be o(6). Let i = -7 - -10. Suppose 0 = f + 2*v + 12700008, -p*f - 2*v = -i*v + 38099996. What is f rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 312, 467, 622?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from oovzzyvzzzogzozg?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4 - -8) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48\/17 - 370\/119. Which is the closest to 2? (a) -0.3 (b) z (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*y + 21*y - 24. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -157*z + 466*z - 151*z - 149*z. Let w(f) = -37*f**2 + 3. What is o(w(k))?\nAnswer: -333*k**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 2, e: 9, m: 6}. What is prob of sequence ee?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1574, -9667, -31634, -74411, -144934, -250139, -396962, -592339?\nAnswer: -843206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 13. What is the greatest common divisor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = -5*y, 3*y = w - 1 - 2. Let a(t) = 1 + 11*t**2 + 9*t + t**w - 7 - 5*t. What is the tens digit of a(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 34. Let n = 40 - x. Let k = -7.9999918 - n. Round k to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 45, -185013, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2793)\/(-855) - 3\/1 - 6314\/3465?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 34, 28, 18, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*p - 409*p + 33*p + 35*p + 68*p.\nAnswer: -632*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 + 7*o**2 - 43*o - 328. Let s(l) = 3*l**3 - 5*l**2 + 31*l + 219. Calculate 7*s(h) + 5*t(h).\nAnswer: h**3 + 2*h - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 95*y + 597. Calculate h(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/4, 2, 5 in decreasing order.\nAnswer: 5, 2, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 614485080 and 7186960.\nAnswer: 1228970160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 + -817?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 - 87*m**2 - 256*m + 7422. Calculate q(29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4732.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 8*o. Let w be l(8). Solve w = 4*j + 3*b - 1 - 2, -2*b + 2 = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82426833, 82426834, 82426835, 82426836, 82426837?\nAnswer: 82426838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1301616 by 1.\nAnswer: -1301616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*c + v, -2*v + 15 = 5*c - 7*v. Suppose -t - b = -250, 0 = b - 2*b - 2. Let i be t\/24 - c\/(-2). What is the highest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 25.731 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*t**3 - 151*g*t - 52*g - 620*t**5 wrt t?\nAnswer: 6*g*t - 12400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2904 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {l: 1, d: 4, g: 1, r: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a8 - 5?\nAnswer: 5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 26 + -7 + 3 + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3023321 + 22130132?\nAnswer: 13100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0465069411 rounded to 4 dps?\nAnswer: -0.0465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(153)*-2)**2 + sqrt(153)).\nAnswer: 3*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1107\/369)\/(2\/6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 31 = 16*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.4 - -9.48. What is v rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (8 + -14 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*n + 32\/5*n**2 + 8\/5*n**3 - 16\/5 - 4\/5*n**5 - 16\/5*n**4 = 0. What is n?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2 (c) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - 102.77. Let y = q - -98. Let f = -5 - y. Sort 4, -2\/13, f in ascending order.\nAnswer: -2\/13, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*y = 5*s - 45, -5*s + 2*y + 25 = 0. What is the smallest common multiple of 5 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13597 and -1447?\nAnswer: -19674859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40, 179, 426, 781?\n\"Answer: 54*l**2 - 23*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -11242?\nAnswer: -11224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975 divided by 5.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3) - 4272\/36. Is 18 a factor of (3*28)\/((-80)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 177. Let a(b) = 24*b**2 + b - 3. Let d(i) = -109*i**2 - 5*i + 15. Let k(g) = 5*a(g) + d(g). Give o(k(s)).\nAnswer: 121*s**4 - 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - -19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4 + m - 18*m**3 - 2 + 9*m**3. Let g be n(-1). Differentiate g + 9 + 0 + 19*u**2 - 12 wrt u.\nAnswer: 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 4*v - 1. Let b be x(-2). Find o, given that 0 + 0*o + 0*o**2 + 2*o**5 - 2\/3*o**b + 4\/3*o**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6*o - 16. List the prime factors of o\/(-4)*241 - 17\/(-34).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 204523004 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -11, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 152\/7 (b) 0.004 (c) 1\/828\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(4\/9)\/u)\/u*u**(3\/5)*u)**4)**(-1\/93))**(-2\/23) assuming u is positive.\nAnswer: u**(16\/96255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 3) + (-46)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68588*a + v - 137 = 68593*a, 6 = -2*v for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 9 = 3*k + 5, -8 = -4*d. Sort -3, 4, k.\nAnswer: k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 10*k**2 - 73*k + 40. Let a be t(5). Solve 177*o - a = 167*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2345315.4 and 0.13.\nAnswer: 2345315.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-1554))\/(248\/2232)*7\/(-3).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45651983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/5 of a litre in millilitres?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 + 1256?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 335 + -334.8. Let m = 2.988 + 0.012. Let u = 0.8 - 1. Put m, -3, b, u in ascending order.\nAnswer: -3, u, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**3 + 262*i**2 + 1. Let b(g) = -27*g**3 - 1308*g**2 - 5. Determine 11*a(d) + 2*b(d).\nAnswer: d**3 + 266*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(240)\/sqrt(6))\/sqrt(2))\/(sqrt(120)\/(sqrt(120)\/sqrt(10)))*6.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151042993?\nAnswer: 373, 404941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + y - 5*y - 20, -2*y + 30 = -3*r. Let w be 15*(0 - 6\/r). Let s(z) = w*z - z - z**2 - 5 - 2. Give s(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (6 - 5) + -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from mzkfmaoo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442182.\nAnswer: 2, 3, 13, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + 0.38. Let v = -22 + 23. Let j = -0.3 - -0.6. Which is the third biggest value? (a) p (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 - 2556*g + 2552. Let s(d) = -3*d**2 - 1703*d + 1701. Let b(f) = 5*q(f) - 8*s(f). What is i in b(i) = 0?\nAnswer: -212, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2073 = -2069 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11452 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w**3 - 5*w**2 + 118*w. Let j(z) = 10*z**3 + 6*z**2 - 114*z. Calculate 6*f(u) + 5*j(u).\nAnswer: -4*u**3 + 138*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*p - 135*p + 831*p + p**3 - 138*p - 112*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*r + 695 = -1515. What is the remainder when 87 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -8*u**6\/225 + u**5\/150 + 16*u**4\/45 - 4*u**3\/45 + 379*u + 2. Suppose i(a) = 0. What is a?\nAnswer: -2, 0, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001101100 (base 2) to base 14.\nAnswer: -d88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + -0.03. Let x = -8.183 + 8.293. What is the third biggest value in i, 5, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10850 and 4438?\nAnswer: 3439450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k = 29*k + 5. Let u(i) = 3*i**2 - 8*i + 7. Let v(n) = -n**2 + 4*n - 3. Let s(j) = 2*u(j) + 5*v(j). What is s(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1243*q + 25*q**2 - 2485*q + 1242*q.\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 4\/7, 0.2, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2. Let x(q) = -21*q**2 + 2*q + 2. Let d(a) = 2*a**2 - a - 1. Let w(r) = 2*d(r) + x(r). Determine w(k(h)).\nAnswer: -153*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152*a + 23104 + 1\/4*a**2.\nAnswer: (a - 304)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (48755 - -23) + -13 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:08 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*u**2*v**3 + 2*u**2*v**2 + 278*u**2*v - 16*u**2 + 6948593*u*v**3 wrt u?\nAnswer: 62*v**3 + 4*v**2 + 556*v - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3769*g + 2960 = -3917*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -5)\/1 + 2. Let k = i + -4. Suppose -3*n = -k*n - 4*g - 16, 5*g + 20 = -3*n. Solve n*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 155537065 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvs. Give prob of sequence sv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 74519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 382144 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233 + 223. Let x(b) be the second derivative of b**5\/20 + 5*b**4\/6 - 2*b**2 - b. Let s be x(u). Is s greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Suppose 4*b - 8 - 8 = k. Suppose b*d + d = 40. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-15) + 2)*2*3. Put 3, k, -3 in descending order.\nAnswer: k, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + -17 + -79 + 128.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4447 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 3*o**2 + 3*o - 2. Let c be i(1). Let u be c - (5 - 3)*12\/(-8). Solve -s + 2 + 3 = -2*r, 4*r + 12 = u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -73417 and -73414 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 - -378c3?\nAnswer: 378e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-1) - (-6)\/(-3). Let b = o - -5. Calculate the smallest common multiple of 9 and b*(1 - -1)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c*c*c\/(c\/(c\/(c*c**(-5)))))**(-46) assuming c is positive.\nAnswer: c**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 + (2316630\/(-10644))\/(-31) and -5\/8.\nAnswer: 7096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24003, 48020, 72037, 96054?\nAnswer: 120071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1133, -1138, -1147, -1160, -1177?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 14*r + 51. Let m(h) = -4*h**2 - 42*h + 154. Let v = 158 + -154. Let i(l) = v*m(l) - 14*w(l). Determine y, given that i(y) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (39\/2)\/(6\/8). Is m greater than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 7*b - 10*b)*(b - 2*b - 3*b)*(4*b - 4*b + 3*b) as q*b**3 + u*b + m + i*b**2 and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**3\/6 + c**2\/2 - 2*c. Let z = 17 + -24. Let b(n) = 3*n + 3. Let l(a) = z*y(a) + 2*b(a). Differentiate l(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5088\/(-2120)*20\/6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2)*(-c**4 + c**4 - 3*c**4 + c**5).\nAnswer: 4*c**5 - 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -23 (b) -3720 (c) 3.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3307*m - 148765. Give y(-45).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001875 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 23.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552342853 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (17 - (1 + 3)). Solve -4*h = h - z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 66 (b) 5 (c) 52 (d) -0.65 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 85976.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (33 + -4) - -4 - (-3 + -13 + 4)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14423 + -14428. Let l(n) = -4*n**3 + 4*n**2 - 4. Let q(w) = -8*w**3 + 7*w**2 + w - 7. Calculate h*l(r) + 3*q(r).\nAnswer: -4*r**3 + r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -3*q**2 + 2\/5*q**6 - 5\/2*q**3 - 1\/2*q**4 + 3\/5*q**5 + 0 + 1\/14*q**7 + 76*q. Let y(a) = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225346332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3620 = -137*s + 1034 - 1524 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from gsfg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.55 - -2.85. Let k = -5.9 + 2.359. Let s = y + k. What is s rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a1 - -683a?\nAnswer: 731b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/3, 5, 4\/209, 2\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + (-89)\/(-7). Let v = 17 - l. What is the third derivative of v*f**2 + 68*f**3 - 71*f**3 + 6*f**2 wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 54866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6757129 - -189.3240461. Let p = -191 + s. What is p rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(76) - 6*(sqrt(76) - (sqrt(76)*-2 - sqrt(76))) - sqrt(76))*-6)\/((sqrt(32)*2)\/sqrt(8) + sqrt(144)*-1 + sqrt(4)).\nAnswer: 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g - 4*x = 0, -g = 5*x. Suppose g = -m + 4 + 35. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 9) in base 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1261*d**2 - 103 + 103.\nAnswer: 1261*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 l when three letters picked without replacement from eptclez.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 10:53 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -24, -4 in increasing order.\nAnswer: -24, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/65*(-5)\/(-1). Let b be u\/(-5) + 5 + (-217)\/(-35). Calculate the greatest common factor of 18 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(10)*1))\/sqrt(11)*4 - (2 + sqrt(243)*-2 + -4*-1*sqrt(243)).\nAnswer: -14*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5192 + -2168. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 - 261604*x**2 + 4323347436*x - 1501998651180 = 0.\nAnswer: 355, 32523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.21 and -6665.18.\nAnswer: -6666.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (702\/216)\/(-2 + (-135)\/(-68)). Which is bigger: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -12 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94693?\nAnswer: 94693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 178, 400, 708?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Let h(w) = -d - 2*w + 3*w + 8 - 4. Determine h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(4 + -2) + 12\/(-15). Which is the nearest to -1? (a) -0.1 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/4 (b) -2\/7 (c) -4516 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/(-13) + (143 - 164) + -2 + 6?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 7\/4*y**4 - 2*y**3 + 3\/2*y**5 - 8*y + 3\/10*y**6 - 6*y**2 + 0. Let c(w) = 0. What is w?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 3. Let m be x(-4). Suppose g = -0*g + m. Suppose g*k = 2*k + 12. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 5*y**2 + 252 - 248 + 4*y**2. What is j(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -14 - (-13 + 4 + 15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 30868854 = -93*t + 14632379. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 5*q - 188. Suppose -x - 6 = -3*x. Suppose 0 = -x*p + p + q. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.03, 5, -86?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -9*p. List the prime factors of ((-5)\/(15\/309))\/p.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -34*u - 1122. Let h be g(-36). Calculate the greatest common divisor of 6528 and h.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65b409 (base 16) to base 13\nAnswer: -14c4a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 121 = -3*a, 185 = 5*a + 5*w. Let k be (-6 - 1)*1*-2. Calculate the greatest common factor of a and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*x + 1. Suppose 3*l - x*l = 0. Let h = 163737 - 163740. Which is the second smallest value? (a) l (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74\/19 - 24\/(-228). Suppose 4*w = -u + 175008, q*w = -2*u + 218111 + 131897. Round u to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a - 232. Let i be 285\/45*(-3 - 3)*-1. What is the tens digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykyvkknykikk. What is prob of picking 1 v and 1 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/18)\/((-6)\/9). Suppose 4 = 4*l + 2*f, l - 19 = -2*f + 6*f. What is the closest to -9 in k, -0.1, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16884\/(-45))\/((-1)\/(-5)). Let k = 2725 + a. List the prime factors of k.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33596 and 23.\nAnswer: 772708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67481, -134464, -201001, -267086, -332713, -397876?\nAnswer: -462569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/8*38\/3. Suppose -7*s + l + 23 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 20*q - 4. Let b(h) = 9*h - 1. Calculate the remainder when b(5) is divided by x(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285692551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -62*d**3 - 2*d**2 - 2*d + 6. Let f(k) = 126*k**3 + 5*k**2 + 5*k - 16. Give 5*c(y) + 2*f(y).\nAnswer: -58*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114080*d**2 + 75137*d**2 - 1491 + 1491.\nAnswer: 189217*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1788, 1790, 1792, 1794, 1796, 1798?\nAnswer: 1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - -1.18. Let l = -0.1 - -0.2. Which is the biggest value? (a) l (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 7*h**2 + 8*h. Let i(u) = u**3 + 4*u**2 - 7*u - 2. Let y be i(-5). Let s be f(y). Suppose s = -5*t + 35 + 40. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 5 - 5 + 3*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1059 = 630. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232560 (base 7) in base 6?\nAnswer: 3230051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -139460 or -139325?\nAnswer: -139325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15603 + 15606. What is the fourth smallest value in -0.12, f, -3, -2\/53?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3799383*w**3 + 1027347*w**2 - 3*w.\nAnswer: 22796298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 + 2*d**2 - 2*d + 1. Let v be b(1). Let r be v\/(-3) + (-2)\/(-6). Calculate the remainder when (24\/(-18))\/(r\/(-15)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1477 = 17*n - 733. Calculate the common denominator of n\/4 + -3*(-16)\/(-24) and 63\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-9)))\/k)\/((k*k**(-11)*k)\/k) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1381 + 4073. List the prime factors of k.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 279053255\nAnswer: 55810651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -371, -775, -1207, -1679, -2203, -2791, -3455?\n\"Answer: -2*o**3 - 2*o**2 - 384*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(-8\/15)*m**2\/m*m*m**(-3\/8) assuming m is positive.\nAnswer: m**(457\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 13. Let s = 23 - 19. Suppose -s*b - 21 = b + 3*x, 2*b + x + 8 = 0. Sort 2, b, l.\nAnswer: b, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s\/s**(-21)))\/s)\/s)**48 assuming s is positive.\nAnswer: s**(-1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 740 divided by 10\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 608 divided by -304\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 4550.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3318, 3323, 3338, 3369, 3422, 3503, 3618?\n\"Answer: s**3 - s**2 + s + 3317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175166857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46, 93, 144, 199, 258, 321, 388?\n\"Answer: 2*p**2 + 41*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (58\/(-2))\/(-1*5\/15) is divided by (18 + (8 - 4) + -12)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 0*t - t + 4750 - t**3 + 14*t**2 - 4764. Determine q(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084133 is divided by 1249.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by 8.\nAnswer: -47\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2 + 4*w - 7. Let i be t(-4). Let v = i + 76. Let k = -107 - v. Which is bigger: -1\/4 or k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o**3 + 6*o**2 - 12*o + 12. Let t(w) = -w**3 - w + 1. Let r(z) = i(z) - 6*t(z). Let h be r(5). Suppose -63 = -107*y + 470 + 2. Sort y, h, 0.\nAnswer: 0, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -148 or -253976?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 + 3 + (6 - 22). Sort 1, -1, k, -99 in increasing order.\nAnswer: -99, k, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21222101 - -11100102201?\nAnswer: 11122102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*k = 2*k, -15 = -3*j - 2*k. Suppose -g - 4 = q - 107, 291 = 3*g - j*q. Calculate the common denominator of (71\/g*2)\/1 and 101\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 839370*g**2 + 1678734*g + 839366.\nAnswer: 2*(g + 1)**2*(g + 419683)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + (-39 - -30 - -31) + 5.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 7}. Give prob of sequence rr.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeaawaaawaaawaa. What is prob of picking 4 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 10*t + 2956. Suppose 2*z - 584 = 2*k + 2*k, t = 5*z - k. Let l be -74*((-1)\/(-2) + -1). Calculate the greatest common divisor of l and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4 - 14. Let r = -4 + 4. Suppose -f*m + 0*m - 714 = 2*h, r = 5*h - 15. What is m rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Let b(c) = c**2 + c - 5. Let y be b(p). Let s be -2 + 2 - (0 + y). Let g(x) = -x + 7. What is g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83475\/(-31164) + (-48)\/(-14)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 3*f**3 + 3*f**3 + (-3*f + f + f)*(-2*f**2 + 3 - 3) - f**2 + 2*f**3 + f**2 + (38*f**2 + 184*f - 184*f)*(-2*f - 2*f + 2*f).\nAnswer: -69*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.1058 * 14.7\nAnswer: -16.25526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 36516?\nAnswer: 36512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 224441b + -6?\nAnswer: 2244415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 - 12*c**2 - 2. Let i(a) = -a**3 - 4*a**2 - 1. Let u(v) = 11*i(v) - 4*q(v). Let f be (3\/6)\/((-1)\/6). What is u(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2482 and -27\/7?\nAnswer: 17374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777490 is divided by 2009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60514 is divided by 5705?\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 6*r + 50. Let f be b(0). Let j be 28\/6 - (-2)\/6. Suppose -n - j*z + f = 0, 2*n + n = -z + 122. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*n**3 - 42*n**2 + 7*n**2 - 194 + 195 wrt n.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 3*o + 3. Let j be t(2). Sort 5, j, -5 in descending order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*w + 40 = 0, -38*r + 40*r - 3*w = 40. Let q be (-4)\/(-2) + 18\/1. Let y = q - r. Which is the closest to 1\/3? (a) -3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2485, -5, -334 in increasing order.\nAnswer: -2485, -334, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 5*f - 68. What is the units digit of l(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -32 in decreasing order.\nAnswer: 6, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/6)\/((-6)\/60). Let l = -9 + d. What are the prime factors of (-2)\/l - (-408)\/9?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-13)*830 - (6532\/299 + -22). Solve -5*i = a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13\/u**(15\/4))\/(u\/(u**(-8)*u)*u**(-3)) assuming u is positive.\nAnswer: u**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1067740*a**4*f - a*f + 220*f + 10517 wrt a.\nAnswer: -4270960*a**3*f - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1181 + 1174 - (7 + 0 + 0) - -63.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**5\/2 - 3423*a**4\/2 + 498981*a**3\/2 + 4185759*a**2\/2 + 1841679*a = 0.\nAnswer: -1271, -7, -1, 0, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/32477400 and 173\/51963840.\nAnswer: 259819200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296 divided by -4?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224868341, -449736684, -674605027, -899473370?\nAnswer: -1124341713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94127 + 94127 - 42*l + 4*l**3 + 42*l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 28*z**2 - 40*z + 94. Let t be h(-29). Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19 - 52*v**2 + 54*v**2 + 7 + 6*v. Let c(r) = 4*r - 2*r**2 + 2*r - 3*r - 8*r + 11. Give 6*c(o) + 5*m(o).\nAnswer: -2*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h + 50*h + 3*h**2 - 24.\nAnswer: 3*h**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374233557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.27808033 rounded to three dps?\nAnswer: 8.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6939 and 1433032?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 18\/361?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5051 is divided by 2390.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*(-10)\/(-4)*24\/(-70). Suppose -2*s - 5*c = -71, c = -c + h. Suppose -r - 3*u + s = 0, -u - u - 48 = -r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -452.\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzzjhhhzhz. What is prob of sequence hj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 35*k - 32*k + 18 = 0, -5*j + 2*k + 27 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(4*f - 5*f + 3*f) + (26*f + 52*f + 28*f)*(0 + 0 - 2) + 52*f - 16*f + 32*f.\nAnswer: -146*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -12. Suppose p + t*i - 4 = -p, -i + 8 = -p. What is the second smallest value in p, -5, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45\/2 - 229\/10. Let u = 1.04 + -1. Let t = 5.04 - u. Sort 0.4, q, t in decreasing order.\nAnswer: t, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434*s**3 + 2*s**2 - 1760*s.\nAnswer: 2604*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-35)*2\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 234578.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 15630?\nAnswer: 11\/7815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:49 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.80778*-2\nAnswer: 5.61556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.353, -26, -1\/2.\nAnswer: -26, -1\/2, 0.353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 54*f - 87*f - 100*f.\nAnswer: -133*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1874*0.048\nAnswer: 89.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197.22 or 297?\nAnswer: 197.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**0))**(-5\/9)*m\/m**(2\/7)*(m\/(m*m**1))\/m assuming m is positive.\nAnswer: m**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 4. Let b(y) be the second derivative of y**3\/6 + y**2 + 3*y. Let i(a) = -9*b(a) + 4*h(a). Let w be i(-3). Solve -w = -3*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 16 = 0. Let y be 3*(r - 3*6\/9). What is the derivative of 8 - 34 - 4*d - 8 - y wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -262 + -44e?\nAnswer: -6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-7) + -1 + -6. Let r = 12 + d. Suppose 0 = v + r*v - 32. What is the lowest common multiple of 6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:18 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -3079*s**4\/4 + 1414*s**3\/3 - 4282. What is the third derivative of f(y) wrt y?\nAnswer: -18474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -5*f - 71. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 20 - 4. Let w(x) = 6 + x - 4*x**2 - x**2 + n*x**2. Give w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979055387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -341? (a) 4 (b) 3 (c) -0.4 (d) 184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108.5431 - 7.73942. Let h = c + -121.8042. Let v = 21 + h. What is v rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v + 2*v + 0*v + (-3 + 2 - 2)*(5*v + 10*v - 6*v).\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Let s be -3*((-2)\/j + 0). Solve 4*g + 4 = s*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 92.2278.\nAnswer: 92.0278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -17*y**4 - 2*y**2 + 2*y + 13. Let j(g) = -g**4 - g**2 + g. Let f = 36 - 37. Let c(d) = f*a(d) + 2*j(d). What is the derivative of c(s) wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + q**2 + 3*q - 2. Let l be s(2). Suppose -2*i + 6*i - 48 = l. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*z - 19 = -4*z, 4*m = z + 48. Suppose 4*w = 7*w - 18. Calculate the remainder when m is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and -9\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1550 and 63426.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 4*b. Suppose 2 = -2*f - b. Let g be ((2 - 2)\/f)\/1. Solve g = 3*w - w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84940772 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3587996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 8. Let o be 546006\/(-14) - 18\/v. Round o to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 18*z + 154. Let b be d(-8). What is the units digit of b + 15\/(-6)*2 - -316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(21))\/(sqrt(12)\/(sqrt(4) - (sqrt(4) - 2*sqrt(4)))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -10.2, -4 in increasing order.\nAnswer: -10.2, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + c = -54, -3*o + c + 2*c + 45 = 0. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 3) to base 2.\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-148)\/(-20) - (-6)\/10. Let y = a + -6. Is 12 a factor of (-22 - y)\/(3\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 114609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220000212010122102 + 11?\nAnswer: 220000212010122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2458 - 1241 = 3*i + 3*u, 0 = 2*i - 5*u + 2473. Round i to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.27 - 8.274445. What is o rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -3*r**5\/20 + 3*r**2\/2 - r - 3. Let j(x) be the first derivative of l(x). Differentiate j(w) with respect to w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 23*x + 28. Give y(11).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1216 + 225?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -8, -10, -24, -56, -112, -198?\n\"Answer: -a**3 + 3*a**2 + 2*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.9 - 13. Let i = -1.6 - a. What is i rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359989, 359850, 359711, 359572, 359433?\nAnswer: 359294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Let t(o) be the third derivative of -o**5\/30 - o**4\/6 + o**3\/2 - 13*o**2 - 3. Let m(v) = 1. Determine c*m(q) - t(q).\nAnswer: 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 162. Solve 0 = o*r + 10 + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478588543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(18)\/sqrt(2)) + -2 + sqrt(612) - ((2*sqrt(272)*-2)**2 + 5).\nAnswer: -4359 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6148853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -444 + 452. Which is the nearest to -1\/3? (a) -3\/7 (b) -3 (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*b - 2\/13*b**2 + 48\/13.\nAnswer: -2*(b - 4)*(b + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 10*r**2 + 13*r + 5. Let h be l(-9). Let b = h - -16. Let z = b - -28. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/33 (b) -3\/7 (c) 4\/13 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcii when four letters picked without replacement from cicccckit.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41179997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1748695 and 57395.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24712 - 1235557\/50. What is the common denominator of l and 2 + 1055\/300 + (-126)\/18?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130846552657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -50. Let n be 15\/((-2)\/(-2))*m\/6. Let i(r) = 9*r - 25. Let h be i(n). Solve 4*t + d + h = 0, 3*t + 2*d + 10 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6)\/(q**(2\/21)\/q*q)*((q*((q*q*q*q**0)\/q)\/q)\/q)**(11\/3) assuming q is positive.\nAnswer: q**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxb when three letters picked without replacement from xxxbxbxxxxxbxxxxxxxx.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702927585 and 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from {m: 2, e: 1, n: 4, u: 6, s: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) - 2*sqrt(294))*-1*-3)\/(-2*(sqrt(8) + sqrt(72)*2)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.41 + -66. Let j = v - 0.11. Let i be (-3)\/(-2)*2\/(-12). Which is the third biggest value? (a) 1 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3739 = b, -3*b + 8*b = 3*q - 3733. Let d = 8046 - q. What is d rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -20 + -56 + 57\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/10 and ((-60)\/(-1480))\/(6\/(-202))?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 12.56, 150618?\nAnswer: 150618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 872141244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2527969, -2527970, -2527973, -2527978, -2527985?\nAnswer: -2527994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.086619 and 1817603.\nAnswer: 1817602.913381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*p + p**4 + 1 + 2*p**3 - 189*p + 94*p as v*p**3 + k*p**2 + y*p**4 + d*p + u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from hahahhohhahhhhhhhohh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5816691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78116 rounded to the nearest one thousand?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -626580*a**5 + 9487200*a**4 - 1330625*a**3 + 46875*a**2 = 0. Calculate a.\nAnswer: 0, 25\/354, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 1632735320*w + 166614039073468900.\nAnswer: 4*(w - 204091915)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108480 and 10280.\nAnswer: 27879360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 12 = 0, 5*l - 1 = -3*i + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 4)*(5 - 3 + 0)*(3 - 7 - 17)*(0*w + 15*w + 10*w) to the form j*w + v and give j.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - (6 + -185) - 7. What is the highest common divisor of p and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -36*l**2 - 2*l - 1. Let u be g(2). Suppose -4*f + 1504 = 4*p, p = -p + 8. Let b = u + f. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose 3*r - g = 1. Factor -r - p**4 + 0 + 2*p**2 - 2*p**3 + p + p**5 + 0.\nAnswer: (p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/8*(-296)\/1110.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + -142.0595. Let w = 4.0505 - u. What is w rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-20) + (-105)\/(-50)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256\/(-96))\/(85\/15).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 27*u - 26*u - 10, 0 = -2*u - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-5) - (5 + -19 + 7).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-141)\/6)\/((-2)\/4). Suppose -2*k - h = 5*v - 422, 4*v - 4*k = 300. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370800 and 4248.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/((-1)\/(-2)). Let a be 4*(3\/4)\/w. Suppose 0*f - 3*j = -3*f, -a*j = -2*f - 1. Is 1\/12 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2641*g = 12934 + 26195 - 10078 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1 + 2*a + a**3 - 3*a - a**2 + 0*a. Let q(d) = 2*d**3 - 8*d**2 + d**2 + 4*d**3 - 7*d - 6. Let h = 27 + -41. What is h*b(w) + 2*q(w)?\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w + 270. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -1\/3*i**3 + 19\/6*i**4 + 1\/2*i**2 - 7*i + 0. Does 11 divide v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.3 (b) -1 (c) -35 (d) 1\/6 (e) -2 (f) -273\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + 180?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 2. Let n be o(6). Let m be (3 + -1)*1\/n. Let q = 3\/17 + 11\/34. What is the nearest to m in 0, q, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(3*f - 7*f + 2*f)*(-5 + 0 + 6).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1162 - -1160. Let x(u) = 4*u - 4. What is x(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-420)\/24*(2*(-7)\/7)\/10?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*c + 20*c + 39*c)*(11 - 6 + 7) + 4*c + 0*c - 2*c to the form g*c + x and give g.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1462 and 97\/612.\nAnswer: 26316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) -178 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9781, 19577, 29389, 39217?\n\"Answer: 8*l**2 + 9772*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -4*x, 3 = z + 3*x - 3. Suppose -t + 2 = -z*t. Solve -a = -0*a + t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 3. Let a(l) = 9*l - 7. Let x(j) = -2*a(j) + 5*z(j). Determine x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j**2\/3 - 110*j\/3 - 2\/3 = 0 for j.\nAnswer: -1\/56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 673, 862, 1051, 1240, 1429?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16051 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 31. Let i be 94\/30 + 68\/(-510). Solve -4*u + 0 = 5*n - 12, j = 4*n + i*u - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2411880 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/12 - 5*z**3\/6 + 5*z**2\/2 - 27*z. Let t be b(5). What is the tens digit of ((-460)\/25 - t)\/((-2)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 1 - (-30 - -24 - (-30 - -18))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 106*j - 2397. What is c(114)?\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 15 - 29. Let n(q) = 15*q**2 - 12*q**2 - 5*q**y - 11*q**2. Let g(l) = -4*l**2. Determine g(n(a)).\nAnswer: -676*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 3. Let i(y) = 15*y - 3. Let n(d) = -13*d + 2. Let w(p) = -4*i(p) - 5*n(p). What is -3*c(x) - 4*w(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 14) to base 3\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 8*u - 46. Suppose g - q - 14 = 0, 3*q = -g + 5*g - 54. Does 12 divide j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.44 in -2\/13, 3, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**2 - 23*t + 13. Let d(x) = x**2 + 6 - 6*x**2 - 11*x + 0*x**2 + x**2. Let m(s) = -7*d(s) + 3*o(s). Is m(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(15\/45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 6 = 0. Solve -2*t = a*z + 3 - 17, 4*z + 17 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 11*f - 11. Let x be z(-12). Let r be 2 + -3 - (-3)\/x. What is the smallest common multiple of (2 - 5\/2)\/(r\/(-72)) and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 9 = 11. Suppose 5*r - 2*r - 12 = -2*l, j*r - 16 = -l. Suppose -4*z = -2*n + 38, l = 2*n + z - 2*z - 47. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**2 + 8*a + 10. Let g be x(-2). Calculate the highest common divisor of g and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t**2 - 114*t - 87. What is the tens digit of k(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*g = -5904 - 3482 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50577156 and 113148?\nAnswer: 50577156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.023 - -14.\nAnswer: 13.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 12. Suppose -x*a + 113 = -147. Is (a - 1)\/3 + -3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7390657019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*w = -34, 4*g + 4*w - 43 = g. Suppose -4 = -2*q + 3*t + 4, 5*q = -7*t - g. Sort 4, q, 3, 0.\nAnswer: 0, q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/14)\/(1\/4). Let h = -3 + 6. Let f = h - 2.9. Which is the nearest to f? (a) -5 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from kgkkkgkkkkkkkgkgkkk.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 11.4. Let s = 14 + -44\/3. Which is the smallest value? (a) t (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 22*v + 3*v**5 + 5*v + (v**3 - 2*v + 2*v)*(-v**2 + v**2 + v**2).\nAnswer: 4*v**5 + 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 15*f + 42. Determine q(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x - 43*x + 9 = 0. Let o(q) = x - 2 - 2 + q - 6. Let p(t) = 36*t**2 + 19*t + 3. Let c(h) = -3*o(h) - p(h). Find the second derivative of c(r) wrt r.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4151.4 + 4147.4. Let o be (-2)\/7 - (-1 - -1). Sort l, o, -1, -36.\nAnswer: -36, l, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.9 greater than or equal to 15593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 4*v - 3*v)*(v**2 + 3 - 3) + (-v**2 + v - v)*(-1 + 1 - 2*v)*(1 + 6 - 1) as y + s*v**3 + i*v**2 + a*v and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g + 40*g - 54*g = -31*g + 1634 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -4053 = 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33311426\/206135 - 2\/41227. Let g = 162 - r. Factor -4\/5 + g*w**2 + 2\/5*w.\nAnswer: 2*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 + 12*l - 6. Let i(r) = -46*r**2 - 61*r + 29. Let m(f) = -2*i(f) - 11*n(f). Determine b, given that m(b) = 0.\nAnswer: -2, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 5*t + 8. Let x be p(6). Suppose 0 = x*j - 15 - 315. Is j a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290\/(-45) - -6 - (-3788501)\/153.\nAnswer: 11, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4519289 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (704\/33)\/(-16)*42\/(-4)*-1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 1)*(0 - 2 + 0)*(-n - 2 + 2).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c + 654 - 424 = -706 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 11*k - 3. Let r be w(-8). Is 36 a factor of r*(7 + (-11)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (5 + -2 - 3) - -11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 63*r - 44*r. Let n be 4\/6*(-18)\/(-4). Let f(a) = -4*a**3 - 2*a - 3. Let t(i) = 7*i**3 + i**2 + 4*i + 5. Let j(v) = n*t(v) + r*f(v). Give j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1422 and 109\/12.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2 - 1 - b + 4 + 1 + 59*b**2. Let i be u(2). Let q = -161 + i. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9460370 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 954?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6665 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293 + 297. Let o be (0 - -2 - 7)\/(-1). Suppose p = -o*w + 17, 2*p + s*w = 5*p - 146. Calculate the highest common factor of 105 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 858334 - 445433. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 1137ec?\nAnswer: -1137eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -75, -210, -409, -672, -999, -1390?\n\"Answer: -32*x**2 + 25*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 254*g**4 - g + 79 wrt g?\nAnswer: 3048*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**4 + 384153*n**3 + 702461 wrt n?\nAnswer: 12*n**3 + 1152459*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**3 - 2*i**3 + 2*i**3)*(-4*i + 4*i + 2*i)*(-1 - 1 + 1).\nAnswer: 2*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -105725, -211465, -317203, -422939?\n\"Answer: r**2 - 105743*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - a - 3139 = -95466, 369350 = 4*y - 3*a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2 in increasing order.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54510, -3, -322, 5.\nAnswer: -54510, -322, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - -5*66\/55. Solve 24*m - 24 = 28*m, 2*t + g*m + 26 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7888584 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8353 + -8351. Solve 4*l = -2*d - x, -5*l - 2*d = 3*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(275))**2.\nAnswer: 60*sqrt(11) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3393 divided by 9.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 y when four letters picked without replacement from {e: 19, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 1, m: 1}. Give prob of sequence md.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -32. Let q be (0 - 5)\/(t + -9). Suppose -16 = 4*p - 5*f, -f + q*f = 16. Which is the smallest value? (a) p (b) 4 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24123189 - -349?\nAnswer: -24122840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2136 or -2140?\nAnswer: -2140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 8*u - 1. Let f be w(-10). Calculate the greatest common divisor of f and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lml when three letters picked without replacement from {l: 3, m: 2, b: 1, k: 12, g: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 19*t + 2. Let i(q) = 44807*q. Calculate s(i(c)).\nAnswer: 8030668996*c**2 + 851333*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131392*g**2*v - 6*g*v + g + 1686 wrt g.\nAnswer: 262784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u = -m - 6, 0 = -u - 2*m - 2. Let o(i) = -4*i**2 + i**u + i**2. Let g(y) = -3*y**2. Give o(g(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*c**4\/7 - 5212*c**3\/21 - 6402*c**2\/7 + 646*c\/21 = 0. Calculate c.\nAnswer: -17, -19\/4, 0, 1\/30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*h - 4 = -29, 2*h - 10 = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1182*z + 184974. Let m(q) = -q + 45. What is the remainder when t(-156) is divided by m(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -10. Let v = -19 - d. Which is the nearest to -2\/9? (a) v (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 8.5, -2\/11, 0?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -134\/81 (b) -1\/8 (c) -2\/23 (d) 2\/859\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i**3 - 11*i**2 + 23*i - 20. Let c(d) = 7*d**3 + 4*d**2 - 8*d + 7. Let n(p) = -17*c(p) - 6*t(p). Determine n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 10*f - 9*f + s, s + 8 = -2*f. Let m(o) = -o**3 + o + 3. Let x be m(0). Let r(v) = 4 - x - 2 - 5*v. Determine r(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - r = -51, 1104*f = 1109*f + r + 59 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -101. Let y be 3 + -1 + d + -8 + -3. Is (5638\/(-12))\/(1\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/4)*y\/(y\/(y\/((y**12\/y)\/y))))**(-29) assuming y is positive.\nAnswer: y**(841\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7055 (base 8) to base 9.\nAnswer: -4872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {k: 1, l: 1, q: 2, t: 1, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -410 - -488. Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**5\/20 + 5*b**4\/12 + b**3\/2 + 7*b**2\/2 - b - 3. Let f(a) be the first derivative of g(a). Does 15 divide f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 358 - 452. Let n be 47\/d + (2 - 7\/6). What is the nearest to -4 in -3\/8, n, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*z + 64, -3*h - 3*z = -h - 44. Calculate the common denominator of 7\/h + 17\/284 and 6\/(-10) - (-7521)\/460.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -1\/6*c**4 + 0 + 0*c + 0*c**3 + 2\/5*c**5 + 17*c**2. What is the second derivative of l(j) wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -29*f**3 + 6*f**2 + 10*f + 9. Let i(a) = -14*a**3 + 3*a**2 + 6*a + 5. Determine -5*i(s) + 3*m(s).\nAnswer: -17*s**3 + 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 22 + 4 + -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368*b + 140 = 1382*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2660 by -4.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 - 42. Let t = y - -105. Sort t, -4, 3 in increasing order.\nAnswer: t, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -128528313*p + 138144497.\nAnswer: -128528313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 - 2*l. Calculate the remainder when 13 is divided by j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/103 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1464 + 1860. Which is greater: -0.4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13350 times 0.3454\nAnswer: 4611.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from fjzvfffvjkokokzf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smsm when four letters picked without replacement from {m: 4, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 9*m - 6952 + 6892 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1118, -14, 2, -5 in ascending order.\nAnswer: -1118, -14, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(176) + (sqrt(11) - ((1 + sqrt(11) - sqrt(11)) + 1)) + 5)*1)**2.\nAnswer: 60*sqrt(11) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 4. Let v(h) = 4 - 6 - h + 3. Let r be ((-21)\/9 - -3)\/(4\/6). Determine r*j(n) - 4*v(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**2 - 5*k + 1. Let a be p(5). What is the third derivative of 7*t**2 - 5*t**5 + 4*t**5 - a*t**2 wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 204744282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*f - 14 = -3*f, -y - 2*f = 2. What is the remainder when 11 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11260 is divided by 3737.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3639\/(-1512) + -1 + 3. Let v = -2\/63 - a. Let m = -3\/53 - -2839\/530. What is the common denominator of m and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 1331 = 4*z. What is z rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a4 (base 12) to base 9.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-2 + -1 + 3*(-5 + -2*sqrt(19)).\nAnswer: -12*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/182, 24\/433, 1 in descending order.\nAnswer: 1, 24\/433, -1\/182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010002100 (base 3) to base 2.\nAnswer: 10010000101101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-88)*-8*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (104 - z - 104)*(-14 - 1 + 6)*(-128 + 128 - 40*z) in the form f + v*z + x*z**2 and give x.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12351612 (base 8) to base 16\nAnswer: -29d38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280 + 279. Let f = -22 + 22.1. Which is the nearest to u? (a) f (b) 0.7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347*v**3 - 46*v + 1?\nAnswer: 2082*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44883 - -776?\nAnswer: -44107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -4, 50 in descending order.\nAnswer: 50, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*1*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*t + 14072, -10543 = -3*t - 12*i + 8*i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-20)\/(-18) - 114832\/(-72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-114927)\/(-11493) + -10)\/((-12)\/(-171)) and 27\/10.\nAnswer: 25540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.231 - -0.231. Which is the nearest to -3\/4? (a) 0.7 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914704810 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 3 + 0*m**3 - 3*m**3 + 8*m**3 + m as b*m + u + q*m**2 + o*m**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58344144?\nAnswer: 2, 3, 103, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 + (0 - -5). Let f be ((-3)\/(-2))\/(3\/18). Suppose -d*y - f = -49. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6142.747 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 21 = 2*m, 5*c + 12 = -11*m + 10*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/5)*q)**(-9))**(-2\/5) assuming q is positive.\nAnswer: q**(108\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139 - 114*u**2 + 139 + (-5*u - u + 5*u)*(u - 3*u + 0*u) + 4*u + 2*u**2 - 4*u + (-u - 2*u + 2*u)*(-2*u - u + u) to n + k*u**2 + r*u and give k.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*a + 43*a + 50 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:45 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -65136325890.4 from -15.\nAnswer: 65136325875.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -98, -130, -160, -188, -214, -238?\n\"Answer: y**2 - 35*y - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6163 + 17225. Let y = -7162 + l. Suppose -3*q = -6*q + y. Round q to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5 + 55*b**4 - 259*b**3 + 457*b**2 - 352*b + 100 = 0?\nAnswer: 1, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5493 in -448, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 3\/2*j**3 + 0*j - 1\/24*j**4 - 43*j**2 + 0. Give f(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20*c - 23. Calculate k(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from plmlmsmlsml.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 95\/3. Put 3, t, -0.3 in decreasing order.\nAnswer: 3, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.043 and 517.\nAnswer: -22.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*c**3*h**3 + 353*c**3*h**2 + 155082*c*h**3 + c*h wrt c?\nAnswer: 84*c*h**3 + 2118*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 127 = -4*s. Suppose -1470 = -32*g + s*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7124*n - 18*n**2 - 14250*n + 7129*n)*(-1 + 3*n + 1).\nAnswer: -54*n**3 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58904688429 - 27.\nAnswer: 58904688402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5863.314 + 5859.213967. Let v = z + 4.1. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9075784 and 1016.\nAnswer: 1152624568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046981647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93556516 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.3 - -7.29936. What is z rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 54.60378kg?\nAnswer: 0.05460378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3 + 21 = 0. Suppose -p - 37 = -5*a, -p - p - 25 = -s*a. Find the third derivative of 3*m**3 + a*m**2 + 0*m**2 - m**3 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from {z: 3, k: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 + 55\/(-35)*888\/(-132)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/103021, -5, -2, -1\/7.\nAnswer: -5, -2, -1\/7, 1\/103021, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 0 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvm when three letters picked without replacement from yhmmlkvlvlvv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68\/13 - 1669\/416. Let v = 117\/32 - h. Find the common denominator of v and 57\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (47\/(-3))\/(9\/27). Let k = r - -117. What is the remainder when k is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -36*h**3 - 3*h**2 - 11*h + 7. Is 12 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99889846?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/15 - 4\/45. Suppose -8 = -5*r - 3. Is r at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 + 404 = -2*l + 4*w, 20 = -l + 5*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*f = -86, 0 = 268*b - 271*b - 3*f - 60. Which is bigger: b or -405\/19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1223 (base 5) to base 2\nAnswer: 10111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 - 3*s + 1. Let w be o(-6). Let r = w + -65. Let j = r - -25. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -13*j + 94 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -263*x + 13640. Does 220 divide s(-98)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.02 - 0.02. Let a be (0 - (-824)\/(-1218)) + 4\/6. Let o = -1019\/406 - a. What is the nearest to 1\/6 in i, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbiibi. What is prob of picking 1 i and 1 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 1, t: 1, f: 2}. Give prob of picking 2 f, 1 t, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/7984 and 75\/136022.\nAnswer: 542999824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138.022 - 138. Round h to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 4, 1\/10, 11?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 89 - 1. What is the least common multiple of h and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -15. Suppose -f*y + 4*y = -93. What is the remainder when y is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/(-2))\/(5\/(-30)*-3). Let g(j) = 2*j**2 - 13*j + 21. Let v be g(5). Let p(b) = -b**3 + 0*b**3 - 225*b + 12*b**2 + 213*b + v. Calculate p(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -2433657.\nAnswer: -2433656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 + 19*s - 7. Let u(v) = -12*v**3 + 57*v - 20. Calculate -17*b(j) + 6*u(j).\nAnswer: 13*j**3 + 19*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z**2 + 7. Let x(m) = m**2. Calculate x(p(w)).\nAnswer: 49*w**4 - 98*w**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199091 - -199081.1657. Let g = r - -9.68. Let i = g + 0.15. What is i rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/24 - 4*l**2. Let t be i(-4). List the prime factors of 9\/t*(-7 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 47*t + 241. Let g be x(41). Which is the third biggest value? (a) g (b) 3 (c) -2\/13 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1831 = 100*c - 65*c - 269. What is the lowest common multiple of 2100 and c?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211558.5 weeks in milliseconds?\nAnswer: 127950580800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 278044 (base 9) to base 6\nAnswer: 3350321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/5)*o*(o*o**(1\/21))\/o)**(-2\/47) assuming o is positive.\nAnswer: o**(32\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 5*u**3 + 4*u**3 + (6*u - 7*u - u)*(u**2 + 2*u**2 - 6*u**2) + (2*u + u - 4*u)*(u**2 - u**2 + 2*u**2) + 3*u**3 + 2 - 2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 114 + 120 = 0. What is the nearest to -0.1 in 10, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*o + 163 + 143. Suppose -o*h = 8*h - 680. Calculate the remainder when 41 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 969, 1140, 1217, 1152, 897?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = 706 - 1982. Let l = -113 + k. Solve 0 = -j + 2*z - 8, -z = -1 - l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2803552 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -151167 - -15210?\nAnswer: -133757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 11100*q**2 + 2330444*q - 9144240.\nAnswer: (q - 10886)*(q - 210)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 265*u**2 + 5692*u + 16. What is l(27)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 996461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 + c - 1. Let g(f) = -87*f**3 - 174*f**2 - 174*f + 174. Calculate 5*g(h) + 870*k(h).\nAnswer: 435*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*z**3 - 8*z**2 + 20*z**3 + 23 + 15*z**3 + 18*z**3 to the form q*z**3 + y*z**2 + x + d*z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1651639111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 7278*b + 5313816.\nAnswer: 2*(b - 2628)*(b - 1011)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 2. Suppose -2*u = 2*f + 312, -14*f + 154 = -15*f - 3*u. Let m = 153 + f. Calculate p(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b + 1. Let n(s) = -s. Let v(f) = -f - f**2 + f - f - 5*f. What is b*v(j) + 6*n(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12142181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*b + 47*b + 48*b + 91 + 57*b + 57*b.\nAnswer: -2*b + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 - p - 7. Let c(n) = n**3 + n**2 + 2*n - 8. Let q be c(2). Let j(l) = -2*l**3 - 8*l**2 - 2*l - 11. Give q*a(z) - 5*j(z).\nAnswer: 2*z**3 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111100001001001100 (base 2) to base 16.\nAnswer: -7c24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -16*u - 4. Let l(q) = 11*q + 3. Let n(a) = -7*l(a) - 5*y(a). Let x(t) = 2*t - 3. Calculate the remainder when n(9) is divided by x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6587 or -281?\nAnswer: -6587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -107888, -107892, -107898, -107906?\n\"Answer: -r**2 - r - 107886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*o - 5, 3*j - 30 = -7*o + 4*o. Solve -x + 3 = j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(800))**2.\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*(-2 + 0). Suppose -2*d + d + 30 = 5*j, 0 = 5*j - 5*d. Let w = u + j. What is the remainder when 10 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 120*v**3 - 121*v**3 - 9 + 11 - 2*v + 0*v. Let o = 370 + -370. Calculate y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59)\/((-4248)\/(-16))*99?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 500*m**2 + 8*m + 2000.\nAnswer: -2*(m - 2)*(m + 2)*(m + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 - 8*d + 3*d - 38)*(0*d - 2*d + 4*d) to k*d + p*d**2 + r and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 8072 (b) 2 (c) 0.64 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 15 + -1 + 4 + 13 + -20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*v + 2. Let t(c) = c**2 + 10*c + 6. Let s be t(v). What is the highest common factor of 24 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25739, -51450, -77159, -102866, -128571, -154274, -179975?\nAnswer: -205674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/34 - -18\/17. Let w(v) be the first derivative of 0*v - p*v**2 - 1. Let t(n) = 2*n. Calculate w(t(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -2. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.9 + -64. Suppose -2*f + 5*r - 11 = 0, -5*f = -2*r + 5*r - 19. Let v = 9 - 7. Which is the nearest to v? (a) -4 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198.77 + 198.670005. Let z = -0.1 - 0. Let t = a - z. Round t to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2388 and 48\/995?\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*i + 4*i + 546. Solve -5*r = 6*o - o - 10, 4*o = 3*r - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, k: 3, u: 3, g: 1, o: 5}. Give prob of sequence uog.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r + 27 + 131 + 3*r**3 + 66 + 16*r.\nAnswer: 3*r**3 + 5*r + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22b96 (base 12) to base 3\nAnswer: -2100221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5195 times 37030?\nAnswer: -192370850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2529, -5127, -7781, -10491, -13257, -16079?\n\"Answer: -28*t**2 - 2514*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 3. Let h be p(7). Let k(n) = -n**3 + 4*n**2 - 4*n + 4. Let l be k(3). Let x = l - h. Let v(t) = -t**3 - 3*t**2 - 2. Determine v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7342748733?\nAnswer: 3, 2447582911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**5\/5 - 5*o**4\/8 - 2*o**3\/3 - o**2\/4 + 22. Factor i(q).\nAnswer: -q*(q + 1)**2*(2*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -260, -299, -336, -371, -404, -435?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-4)\/3)*6*-6. Suppose y + 4 = 0, f + 3*f = 3*y + b. Suppose -2*v = -2*i - 4294, -f*v + 4*i = -0*i - 6439. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061832 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -306 and -3?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 31*x - 1. Let t be r(1). Let y be t - (-1 - 1 - -2). Solve 3*q + 2*b - 5 = 2*q, -y = 5*q - b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -k - q + 82, 17 = 2*k + 5*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (3 + (2 - 4)). Suppose y = 2*y - o. Factor -3\/4*v**y + 1\/4*v**4 + 1\/2*v + 0*v**3 + 0.\nAnswer: v*(v - 1)**2*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + 6 + -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3471 by -27965.\nAnswer: -3471\/27965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3. Which is greater: c or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 + 2*a**2 + 2. Let g be t(-2). Let p be 11\/g - 142\/(-4). Solve 5*q + 4*l = q + 12, 5*l = 5*q + p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snn when three letters picked without replacement from nsnxxsxsxns.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.007 in 12, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/(4\/12). Suppose 4*n - 7 = 17. List the prime factors of (q\/n)\/((-3)\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4037353.\nAnswer: 67, 60259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 37*r + 265. Let a = 219 + -226. Let s be i(a). Solve -5*b = s - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1225*c**2*m*z**2 - c**2*m*z + 2*m**2*z**2 - 21*m**2 - 3*z**3 - 25*z wrt z?\nAnswer: -2450*c**2*m + 4*m**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 977666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 180718059211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1200)\/720*117\/(-924) and 1 + 0 - 171\/(-12).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 109037104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10125\/450)\/((-5)\/2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-6 + 161\/21)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + q - 17 = -2*q, -q = -3*c + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.8 * -97.2707.\nAnswer: -1245.06496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 24476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let k = 0.92 - 1.92. What is the smallest value in -2, k, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.155 and -13563846771?\nAnswer: 13563846772.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - 1?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 590*h - 21299. Determine q(33).\nAnswer: -1829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106*h + 1491075 = 13026*h + 134403 for h.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20143 + 12329 = -12*y. Is y\/3*3\/(-12)*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1083, 1084, 1089, 1098, 1111?\n\"Answer: 2*y**2 - 5*y + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5988*(315\/10)\/7. Suppose 21*s - v = -6*s. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 905 - 898. Suppose 2*z - 5*q - 1241 = 0, z - 4*q - 1246 = -z. Suppose -b*d + z = 80. What is the remainder when d is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*w, 11*j - 6*j + w = 345. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*c + 18 = 0, 3*c - 19 = j - 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -3 - (-8 - -5). Suppose -f*n + 2*n + 5 = 0. Suppose 0 = -3*l - n*l + 3*l. Solve 1 = -x - l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5597, 1, 39 in descending order.\nAnswer: 5597, 39, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/5 + 70051*t**2\/5 + 280216*t\/5 + 56044 = 0.\nAnswer: -2, 70055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 1. Let p(b) = 2*b**2 + b - 2. Let d = 423 - 421. Calculate d*p(s) + 3*m(s).\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4102*n - 10458 + 10458 - 68647*n + 10943*n)*(-n - 3*n + 2*n) to v*n + d + k*n**2 and give k.\nAnswer: 107204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/12*(-156)\/36309*19.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 9:37 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -193. Let i = p - -201. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p + 9. Suppose -n = 4*v - 16, 5*n - 5 - 3 = -2*v. Let t be d(v). Suppose -4*l + 0*l - 15 = -j, -l = -5*j + 37. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1.172, 6 in decreasing order.\nAnswer: 6, -1.172, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*b + 423*b + 20 + 28 = 3*x, b - x = -4*x for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + 347. What is the greatest common divisor of 168 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 210705*n + 615. Let x be w(-3). Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2786879675 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/(-21) - -1)\/(3\/4). Which is the third biggest value? (a) 1\/5 (b) g (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9201.\nAnswer: 3, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**5\/270 + m**4\/36 - 4*m**3\/27 - 20*m**2 - 58. Let y(h) be the second derivative of v(h). Factor y(b).\nAnswer: 2*(b - 1)*(b + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1846522.8 hours?\nAnswer: 76938.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*f**4 - 1)*(-108 + 50 + 40).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 6*p - 294*p**3 + 4 + 588*p**3 + p**2 - 293*p**3. Give m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*i + 4*i - 24, 4*i - 5*h - 28 = 0. Suppose 120 = -14*k - 16*k. Let c be k\/1*(-42)\/56. Solve -3 = i*j + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7587615634.\nAnswer: 2, 157, 367, 65843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41979 - 7301 = -20*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 4. Give i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181*s**4 + 462*s?\nAnswer: -2172*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3550 + -46078\/13. Let y = 1021\/182 - q. What is the second biggest value in 2\/3, y, -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*k**2 - 1\/2*k**4 + 0*k + 0 - k**3 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00691964*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 129?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvpirppvpppv. What is prob of sequence ipp?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkzunvv. Give prob of sequence nx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.5 (b) -0.16 (c) 0.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1061 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 + 3*d**3\/2 + 9*d**2\/2 + 143*d. Determine n(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 - (-64)\/20)*1*(-34710)\/(-9204) and -41\/42.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 77\/280 - (-2)\/(-5). Suppose 0 = -4*n - 9 + 17. Which is the third smallest value? (a) -0.4 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 34) + 24 - ((-1 - 14) + 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:13 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659388321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1245872 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/1951 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + -116. Let f be 3464*(-29 - (w + -9)). What is f rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 21. Let k(j) = 2*j**2 + 7*j - 11. Let u be k(a). What is the greatest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 8*u**2 + 208*u + 1106. Give q(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 81.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 + 172*t - 3698 = 0.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3197*a**2 - 3630 + 1313 + 3198*a**2 to the form o*a**2 + p*a + s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - j - 1 + 4*j)*(-15*j**3 + 94*j - 94*j + (-2 - 1 + 4)*(-j**3 - 2*j + 2*j)) to the form x + k*j**2 + c*j**3 + f*j**4 + i*j and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(8 + -2 + -1). Solve -u*k - 5 = 4*j, -k + 5*j - 3*j - 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2\/3 - 76*c\/3 + 40.\nAnswer: 4*(c - 2)*(2*c - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 575646976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-17)\/(-2))\/(11\/(-22)). Let u be 12\/(1\/1)*m\/24. Suppose -4*i + u*i + l = 86, 2*i - 34 = 4*l. Calculate the highest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.076?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 - (12 + -27 + 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 650 + -625. Solve 5*h - 2*k = 2*h - y, -2*h + 5 = 3*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2 - -5 - (152 - 148)) + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 11*c**2 - 4*c + 10. Let p(w) = -w**3 + 63*w**2 - 54*w - 485. Let l be p(62). Determine d(l).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0621371 and -5.\nAnswer: -0.3106855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from {n: 2, l: 2, p: 3, f: 6, g: 4}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43911 plus -1.56658059?\nAnswer: -2.00569059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*f + 147*f = -1184352. Is f a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27953 - -57052. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = u + 5*y - 6, -3*u + 111 = -4*y. Put 6, u, 5, -5 in increasing order.\nAnswer: -5, 5, 6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*1 + -4*(sqrt(7) + 2) + sqrt(7) + 0.\nAnswer: -8 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + 2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1948)\/(-4884)*11 - 2\/37 - 5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*x + 15. Suppose 0 = -3*v - l + 10, v - 25 = 17*l - 13*l. Sort 1, x, v, -10 in decreasing order.\nAnswer: v, x, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 315, 671, 1157, 1773, 2519?\nAnswer: 3395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1520*v - 44424 = 286*v for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/5 - 4*i**2\/5 + 8*i\/5 + 16\/5 = 0. What is i?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:20 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 64*a - 3. Does 40 divide c(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -176, 64, 290, 496, 676, 824, 934?\n\"Answer: -q**3 - q**2 + 250*q - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 1. Let g be i(-1). Let w be 33\/9 - 2\/g. Let c be (-3)\/w - (-1 + -2). Solve -j = -3*j - c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-37485)\/(-1470))\/((-2)\/4 + -1). Which is smaller: 7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6908 + 968.0092. Let x = d + 124.3. Let k = x + -1092.99453. What is k rounded to 4 dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10622 divided by -580.\nAnswer: -5311\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28790961.00000003 + 28790960. Let g = -0.3 + -0.7. Let s = g - u. What is s rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g + 15 + 297 = 0. Let m(f) = f**2 + 24*f + 143. Let z be m(g). Do z and 5\/67 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {h: 1, l: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4b (base 13) to base 11\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8055?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000543155 to 7 decimal places.\nAnswer: -0.0000543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37664.3ng to micrograms.\nAnswer: 37.6643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.11 - 18.116548. Round k to 4 decimal places.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27406841 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 10 + 0*a**3 + 0*a**2 + 5\/2*a**4 + a. Differentiate q(c) with respect to c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1228 or 1224?\nAnswer: 1228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -13*v + 35. Let u be p(3). Let j be (u\/2)\/(5 - 12\/2). Let k = 52168\/39 + -4006\/3. Is j at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3727, 7661, 11949, 16771, 22307, 28737, 36241, 44999?\nAnswer: 55191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1253450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:43 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 + 21*a + 5. Let l(c) be the third derivative of -c**5\/60 + c**4\/24 + c**3\/6 - 5*c**2. Let p(v) = l(v) - y(v). Factor p(h).\nAnswer: -(h + 2)*(9*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 3. Let y be t(2). Let x be 0*(y\/(-30))\/(1\/3). Which is the closest to x? (a) -2 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m**2 - 41*m**2 - 167*m + 12*m**2 - 80*m + 20*m**2 to the form o*m + u*m**2 + a and give o.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/55)*(y**37\/y)\/y assuming y is positive.\nAnswer: y**(1927\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25298)\/(-35) + (-16)\/20. Suppose 0 = -9*g + l + 1879. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 59 - 56. Let f = s - -44. Let v = f - -1. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73dd (base 16) in base 15?\nAnswer: 8bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9248749 is divided by 2070.\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 176*c**3 + 18*c - 7. Let k(q) = 87*q**3 + 8*q - 3. What is -4*h(y) + 9*k(y)?\nAnswer: 79*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -3. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 417 and 7538109?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*o - 532 = 70*o + 31*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2)\/(4*8\/(-5120)). Suppose -2*k - 6*k + q = 0. Calculate the smallest common multiple of k and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98078595.\nAnswer: 3, 5, 6538573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -31*u**3 + u**2 - 7*u + 1. Let l(z) = -33*z**3 + z**2 - 6*z + 1. Calculate 4*k(m) - 5*l(m).\nAnswer: 41*m**3 - m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*i**3 + 546*g**3*i**2 + 251*g + 784*i**5 wrt i?\nAnswer: -12*g**3 + 47040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-1 - -5)) + (-169 - -174).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2053217151 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 659064*p**3 - 4259*p**4 - 659064*p**3 + (3*p**3 - 3*p**3 - 2*p**3)*(2*p + 0*p + 0*p) in the form m*p**4 + y + a*p**2 + b*p**3 + i*p and give m.\nAnswer: -4263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(70)*-2 - sqrt(70)) + (sqrt(70) - (sqrt(70) - (sqrt(70) + 2*sqrt(70))*-4) - sqrt(70)))\/((1*sqrt(2420))\/(sqrt(242)*1 - sqrt(2))) + -5.\nAnswer: -5 + 20*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000114397521 to seven decimal places.\nAnswer: -0.0001144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5460 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 216 - 66 = b. What is the units digit of (2 + b)*(-2)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3576222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125 or 489?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -186 + 4?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 359, 1115, 3195, 7259, 13967?\n\"Answer: 110*u**3 + 2*u**2 - 20*u + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/364*(230\/(-42) + 29\/203). Let t be 0\/((-1 + -1)\/2). Factor p*w + 2\/13*w**2 + t.\nAnswer: 2*w*(w + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k = -10*k + 42 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -55 (b) -2 (c) 2\/709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1193*z**2 + 1175*z wrt z?\nAnswer: -2386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -10. Suppose -v*a - 5*c + 81 = 0, -4*c = -0*a + 4*a - 116. Let p = -2 + a. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddyf. Give prob of picking 2 d, 1 p, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3807219.\nAnswer: 3, 13, 41, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50954 = 50952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(110)*2*-5)\/(-4*(sqrt(10) + (sqrt(640) - sqrt(640)*3))).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-28) - 66\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 2*y - 1. Let m be ((-14)\/(-3))\/((-5)\/(-945)*14). Suppose 22*c - m*c + 82 = 0. What is t(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3264 and -4.\nAnswer: -13056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 36 = 36. Sort -4, j, 3, -2.\nAnswer: -4, -2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -13. Let v be ((-12)\/(-20))\/(n\/10). Let y = -5.13 - -0.13. Which is the second biggest value? (a) y (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 15\/2, 0.06, -0.2, 5 in decreasing order.\nAnswer: 15\/2, 5, 1.5, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/11 - 36\/55. Let j = 247\/5 + -49. Factor y*m**2 - 2\/5 - j*m.\nAnswer: 2*(m - 1)*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**5\/20 + s**4\/2 + s**2\/2 - s. Let i be r(5). Let k be i\/(-22) + 2\/11. What is the nearest to k in 4, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46311535 and 39844?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/54 and 77\/40927962.\nAnswer: 368351658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149229900 to the nearest integer?\nAnswer: 12216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 139\/(-20) - 16107\/(-1652) - 888\/10.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*c*u**4 + 2*c*u**2 - 3*c*u - 2*u**4 - 21*u**2 wrt u?\nAnswer: -5112*c*u - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 - 130. What is the remainder when 816\/12 + a\/(-1 + -2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*a**5*m**3 + 3*a**5 + 2*a**2*m**2 + 42*a*m**3 wrt a?\nAnswer: 4080*a**2*m**3 + 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 43 - (-5 - -7 - 4). Suppose -k - 2 = -4. Let z(r) = -b + 45 + 3*r**k. Let v(m) = -3*m. Calculate v(z(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4)*-6 + (sqrt(12) - sqrt(132)\/(sqrt(99) + sqrt(11))))\/(sqrt(28)\/(-2*sqrt(700) - sqrt(7))).\nAnswer: 441*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6359 is divided by 231.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.188009\nAnswer: 0.376018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149615*i**5 + 2*i**2 - 6*i + 1732.\nAnswer: -8976900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*w - 42, -14894*w + 14895*w - 8*u = -93 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/4 - 135*n\/2 + 130.\nAnswer: 5*(n - 52)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 57*k + 1666. What is f(-28)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from diiui.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:11 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -298, -446, -594, -742?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1806298011.013 + -57.\nAnswer: 1806297954.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 14*s**2 + 14*s - 7. Let q = 20 - 10. Let v be a(q). Is 1\/1 - (v - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6921, 6922, 6923, 6924, 6925?\nAnswer: 6926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-52))\/3)\/(171\/(3078\/(-396)))?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 923269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25. Which is the biggest value? (a) 0.4 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*i**3*j*r**3*z + 5*i**3*r**3*z + i**2*j*r - i*j*r*z + r**3*z + 7*r*z wrt i.\nAnswer: -114*j*r**3*z + 30*r**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 395783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*j + 2*p - 808 = -135*j, -3*p + 331 = -55*j - 85 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a**2 + 13*a + 15*a - 224 - 10*a**2 + 234 + 9*a. Determine f(-36).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1223340 - 4?\nAnswer: -1223344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7337*u + 5 - 7337*u + 2 + 1 + 29*u**2 as b + x*u**2 + l*u and give x.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524606029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23428452 to the power of 1\/2, to the nearest integer?\nAnswer: 4840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40037\/5931 - 18\/659. Let x = -6 - -53. Calculate the common denominator of 4 + x*(-2)\/(-4) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ada0b (base 14) to base 6\nAnswer: -32322415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 248\/1116*18\/(-26). Put j, -15, 3\/5, -4 in descending order.\nAnswer: 3\/5, j, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1380 divided by -23\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.83. Let b = f - 17.83. Let c = -18.0000019 - b. Round c to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 470 and 0.1105.\nAnswer: 51.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126489 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o + 85*o = -780. Find the common denominator of 910\/o*((-1)\/(-2))\/1 and 7\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211201 (base 3) to base 14.\nAnswer: -31b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*n + 879*n + 21296 = 569*n for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201121110 (base 3) to base 13.\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j + 72. Let c be ((-2)\/(-3610))\/(1*(-108)\/(-302505)). Let y = c + 51\/2888. Calculate the common denominator of j and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 2. Let r be a(-9). Let u be r + 1 + (-7)\/(-7). Let f be u\/(-2) - (3 + -6). Calculate the highest common divisor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = o - 3, 1867*q - 1864*q - 3*o = 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926.947 rounded to the nearest integer?\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454.8*-0.3.\nAnswer: 136.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -0*v + 2*z - 4, -5*v + 16 = 2*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*t + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-7))\/(t**(-4\/11)*t))\/(t*t\/(t\/((t*(t*t\/(t*t**(11\/3)*t*t))\/t)\/t)))**(-8\/7) assuming t is positive.\nAnswer: t**(-395\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3086338*f**3*u + 14176*f**2 + 2*u + 30 wrt f?\nAnswer: 18518028*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 422 + -522?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) -66 (c) -1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2888 and 10032?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 11*v**3\/6 - 3*v**2 - v + 84. Let f(u) = -10*u. Let d(c) = -2*c. Let m(q) = 16*d(q) - 3*f(q). Give h(m(g)).\nAnswer: -22*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 548 - 1116 = -556. Calculate the remainder when 3232 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/21, 15, 30?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-34 + 32) - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*u = 393535 + 2636. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 140, 353, 652, 1037, 1508?\n\"Answer: 43*y**2 - 2*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(693) + 2*sqrt(693))*4)\/(sqrt(11) - 2*(sqrt(44)\/sqrt(4) - sqrt(11))))**2 - (4 + -1 + 4 + sqrt(63) + 1))*3.\nAnswer: -9*sqrt(7) + 27192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 473509.4 litres?\nAnswer: 473509400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -278058.9 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.05.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1799 + 1804. Sort 3\/5, b, -1, 0.3.\nAnswer: -1, 0.3, 3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 2. Let j(r) = -r**2 - 9*r - 5. Let i be j(-9). Let a(t) = -2*t + 3. Let v(k) = i*u(k) - 3*a(k). What is the first derivative of v(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 6:37 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 3. Let s be v(2). Let r(y) = y**2 + 5*y - 2. Let x be r(-6). Suppose -s*c - 20 = 0, 4*k - 44 = -0*k - x*c. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/1058, 0.3, 5\/11, 4\/11?\nAnswer: 1\/1058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from ywlyvayyaayy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -0.44. Let l = 1.63 + -1.7. Let r = l - h. Which is the third biggest value? (a) -3 (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16410210 (base 7) to base 11.\nAnswer: 9a2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + p + 4*p + p + 4 - 4 + (3 + 1 - 5)*(-p + 2*p + p) + (1 - 1 + 2)*(-3 + 3 - 2*p) - 2*p + 2*p - 2*p + 34*p + 61*p + 38*p.\nAnswer: 128*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312*s - 18441*s = -671602 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 23 - 20)*(-1 + 1 - 1) + 3 - 3 + 1)*(2 - 2 - w**3).\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31525.\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 6*t - 8. Suppose -5*z + 2*z - 3*p = 36, 2*p + 16 = -z. Let o be h(z). Solve 2*b = 2*c - 2, -3*b - 5*c + 5 = -o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765588, 1531175, 2296762?\nAnswer: 3062349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-438)\/(-24) + 12\/(-48))*3\/2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 10*w**2 + 17*w + 9. Let d be u(-8). Let o(b) = -15*b + 1. Let l(y) = -1. Calculate d*o(h) + l(h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 - -192. Let c(g) = 7*g**2 + 2*g + 2. Let p(w) = -w**2. Give i*p(k) - c(k).\nAnswer: -2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57280? (a) 4 (b) 7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-9)*(-9 + 3). Calculate the greatest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*c - 3*s, -s - 4*s + 8 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3311670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109830860779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -27*v**4\/4 + 93*v**3 + 1203*v**2\/2 + 369*v + 182. Determine k so that i(k) = 0.\nAnswer: -3, -1\/3, 41\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -463 + 237 + 226 - 512*h**2. Let y(d) = -3*d**2. Give l(y(u)).\nAnswer: -4608*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2241951 - -5?\nAnswer: 4.7758049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 1c320b38?\nAnswer: -1c320b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8535 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 7*g**2 - 7*g - 4. Let t be m(-6). Let b(f) = -21*f - 13. Let v(s) = -5*s - 3. Let j(k) = 2*b(k) - 9*v(k). What is j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1034 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q + 155 = 7*q + 29*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11187909, 22375817, 33563725?\n\"Answer: 11187908*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 5*x**2 + 3*x + 4. Suppose 0 = 3*h - 0*h + 9. Let f be j(h). Let u(p) = f*p + 2*p**2 - 13*p. Let k(w) = 3*w**2. Calculate u(k(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 + 0.1. Suppose -25*h = -24*h - 51. Let y = 56 - h. What is the nearest to -0.1 in y, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/313 (b) 1.2 (c) 2\/3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225037 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27371 = 27346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 544*h*w**2 + 521*h - 3*w**2 wrt w.\nAnswer: 1088*h*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/44)\/(1\/(-4)). Let o = 5 + -6. Let d = 2 - o. Which is the nearest to -1? (a) x (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -492 + 503. What is the highest common divisor of j and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/2124 and (1\/15)\/(30680\/(-3250))?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*j**2 - 46*j**2 + 19*j**2 - 422*j**3 to g + t*j + x*j**2 + r*j**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22243936, -22243933, -22243928, -22243921?\n\"Answer: r**2 - 22243937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3740*g**3*r*t - 8273*g**3*t**3 + 14*g**2*r*t**3 + 148337*g**2*t**3 + 2*g*r*t**2 wrt g.\nAnswer: 22440*r*t - 49638*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 6. Let f be v(2). Suppose z = -5*s + 35, f*z - 3*s - 29 = -4. Calculate the remainder when 26 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3777507730 rounded to the nearest 1000000?\nAnswer: -3778000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and (0 - 18)\/(-3 - 6\/(-4)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13567*i**3*p**3 - 26*i**3*p**2 + 43*i**3*p - p**2 - 2*p wrt p.\nAnswer: -81402*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5 + 30*l**4 + 143*l**3 - 2976*l**2 - 14992*l - 11904 = 0.\nAnswer: -8, -4, -1, 12, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23300978 to the power of 1\/2, to the nearest integer?\nAnswer: 4827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 12. Suppose -618 = -2*l + 4*k + k, d = 3*k + 12. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 11*i. Let p be o(10). Suppose 4*a + 13 = 3*t, 5*t + 27 = -3*a + p. Let d be 2 + (a - (-5 + 0)). Solve d*b = -0*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 9*o**4\/4 - o**3\/3 + o**2\/2 - o - 1. Suppose t = 4*v + 8 + 1, 4*t = -5*v - 6. Does 8 divide n(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.5. Let l = o + -0.18. Let h = 0.37 - l. Round h to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 99\/75 - 2 and 192\/(-180) - 30\/(-25).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*a**3\/11 - 128808*a**2\/11 - 24813824*a\/11 + 316594176\/11.\nAnswer: -2*(a - 12)*(9*a + 3632)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + 0 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.235 - -0.225. Let l = -1 - d. What is l rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -68?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1340105 (base 6) to base 5.\nAnswer: -4401314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w - 10. Let b be n(-3). Let z = b - 4. Calculate the remainder when 37 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**2\/2 + 5*y + 9. Let x be z(-5). Let m(n) = n**2 - n - 1. What is m(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421855 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -27*o + 26*o + 4*w + 470, 2*o - 232 = 4*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 8:50 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -9 - (-2041 - -2050)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 5032*j**4 - 1684996*j**3 + 64604560*j**2 - 765574144*j + 2135179264 = 0.\nAnswer: 4, 19, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 312.3326 centimeters?\nAnswer: 3123326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + 3 + -48 + 39\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = s + 34 - 39, 2*s - 10 = -5*d. Suppose 6*h - 3*h = -15, d = -5*c - 4*h. Let 0 - 4*a + 4\/3*a**2 + c*a**3 - 4\/3*a**4 = 0. Calculate a.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 209378 = -2*l, 272*l - 269*l = 0. What is h rounded to the nearest 1000?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 718*n + 1 - 2077*n - 112*n + n**2.\nAnswer: -2*n**2 - 2907*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146195334 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -476 + 470. Suppose 5*h - 6*h + 2*s = -5, -5*h + 2*s = -41. Let q = -18 - -13. Sort p, 4, h, q.\nAnswer: p, q, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112, 382, 832, 1504, 2440, 3682, 5272, 7252?\n\"Answer: 7*h**3 + 48*h**2 + 77*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 4, p: 1, h: 2, j: 3, c: 7}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgggqgqgq. What is prob of picking 1 q and 1 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 651 - 619. Let c = 36 - r. Solve -c*g - 3*s = -7*s - 20, 0 = -5*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, 17.7 in increasing order.\nAnswer: -17, 2, 17.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-4)\/(-8)) + 12. What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 20 + 9 = 4*b - 4, 0 = 4*b + 20 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -68*c**3 - 91*c**2 + 268*c - 21. Determine x(3).\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/3*(-27)\/(-6). Let b be (-5)\/f*8\/(-30). What is the smallest value in b, -1\/5, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126421\/63 - 14038\/7. Calculate the common denominator of 107\/36 and q.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7839\/7 in 0, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 205030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Suppose -y*a = 0, 5*k = 4*a + a + 15. Let t = k - 3. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*3\/6*-5. Suppose 3*v - 9 = 0, 4*j - 2*v + 17 = v. Let o = -31\/12 + 17\/6. Which is the closest to 1\/3? (a) o (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64099105 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = -46*b + 907 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + 8 - 7) + (2 - (-7 - -18)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14232 - 5667. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 784 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (372 + 20 + 227)*(2*k**3 + k**2 - k**2).\nAnswer: 1238*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1335\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0.001, 3\/53, -6, 1\/3?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 54*r. Let d(x) = -x**3 - 15*x**2 - 56*x - 45. Let c be d(-9). Let q(s) = s. Give c*q(i) + h(i).\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 + 128.3. What is the biggest value in -5, r, 0.17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 1. Let m be c(-4). Suppose z + m*z = 16. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -81. Solve 0*l - 5 = -n*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329 is divided by 399.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w*w**(-5))))\/w**0*w**(2\/7)*w\/w**(4\/5) assuming w is positive.\nAnswer: w**(-88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3672, -3692, -3712, -3732?\n\"Answer: -20*c - 3652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38407.943 days?\nAnswer: 5486.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 461 = -3*o + 233, d = -o + 232. Let n = 20 + -11. What is the remainder when o is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i + 6*i - 3*i + (2*i - i + 0*i)*(-1 + 3 - 3).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (7 - -5) - 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 + 3364\/16*2. Suppose 2*f = 5*f - r. Differentiate -f*p - 3*p**2 - 1 - 2*p**2 + 140*p wrt p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-27) - (-1)\/3. Let d = 0 + 4. Sort d, 3, y in increasing order.\nAnswer: y, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 2. Suppose -x - 7 = -9. Suppose -3*r + 6 = 0, -x*n - 4*r + 9 = -5. Determine l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:38 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72, -73, -62, -33, 20, 103, 222, 383?\n\"Answer: j**3 - 8*j - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 166969?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18185571 * -0.1\nAnswer: -1818557.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 + 21*v + 29*v - 13*v - 8. Let j(b) be the first derivative of -b**3\/3 - 9*b**2\/2 + 2*b - 48. Let z(k) = -9*j(k) - 2*l(k). Give z(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 8 + 25. Let z = s + 74. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o - 8*o - 8*o - 8*o to p + f*o and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Put s, 14, -1 in descending order.\nAnswer: 14, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -70. Suppose 3*r - 3*b + 242 = 1841, n*b = -5*r + 2637. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -751 - -718 - (-32 - 0) - (-2 - (3 + 25)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361943 a multiple of 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q - 7. Let b = 1 + -6. What are the prime factors of j(b)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:02 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 1041*a = -1043*a + 94, 26*b - 4*a = -1310 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c + 0?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 3 - -5 - -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 6 (b) 1\/3195 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Suppose 4*r - 4*m = 204, -s*r - 5*m + 333 = 111. Let j = -37 + r. What is the remainder when 62 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18+-50334\nAnswer: -50352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w. Let q(n) be the third derivative of n**4\/24 - 7*n**2. Determine f(q(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 25 + 22 + -38 + 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/35539 and -18\/5.\nAnswer: 177695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16266.930831 + 26.624?\nAnswer: -16240.306831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = -23*p - 4. Let f(q) = -11*q + 1. Let j(l) = 5*l. Let u(z) = -2*f(z) - 5*j(z). Calculate u(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*z + 163*z + 11610427500 = -440*z. Round z to the nearest one hundred thousand.\nAnswer: -26300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67.5442 + 2.2628. Let k = q + -70. Let b = -0.2 - k. What is b rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**7\/1260 - 5*d**4\/24 + 5*d**2. Let g(c) be the second derivative of v(c). Let s(u) = 2*u**2. Calculate s(g(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2552, 2517, 2452, 2351, 2208, 2017, 1772, 1467?\n\"Answer: -h**3 - 9*h**2 - h + 2563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-3)\/(-3)) - -4. Let j(b) = -b**2 + 3. Let s be j(0). Suppose -8 = -4*m - 2*c, 6 = 3*m + w*c - s*c. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3166 - 3851.5. Let d = v - -685. What is the second biggest value in 0.1, 12, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207700 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-151)\/(-2))\/(12\/48) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 - 3*c**2\/2 - 4*c + 755. Suppose 5*a + 8 + 12 = 0. Give o(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**3 - 466*z**2 + 1146*z - 320. Let b(m) = -4*m**3 - 6*m. Let v(k) = -5*b(k) - x(k). Factor v(t).\nAnswer: 2*(t - 2)*(t + 80)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 4*l + 2. Let c be v(-9). What is the highest common factor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 5*c**2 + 6*c - 8. Let q(d) = d**3 - 9*d**2 - d + 3. Let t be q(9). Let i be x(t). What are the prime factors of (i\/12)\/((-2)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + -0.35. Let m = -8 - -6. Sort 1, a, m in increasing order.\nAnswer: m, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a kilometer in meters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 3261, 11129, 26449, 51705, 89381, 141961, 211929?\nAnswer: 301769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 4, 464 in increasing order.\nAnswer: -93, 4, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooobloooboxllbllbo. What is prob of sequence ob?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 48 (b) 0.5 (c) -0.5 (d) -1\/11 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 14748.633 microseconds?\nAnswer: 0.0000040968425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/12)\/(4446\/(-494))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.088, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26891 - 806639\/30. Find the common denominator of ((-5656)\/2016)\/(4\/6) and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1\/10, -3, 5, -42, 0.4, -15.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41, -84, -127?\n\"Answer: -43*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018452713.\nAnswer: 37, 2731, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*((0*d - 3*d + 2*d)*(-5 - 1 + 3) + 1 - 2*d - 1 + 5*d + 2*d - 10*d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 - -115. Sort p, 5, 1, -2.\nAnswer: -2, 1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 358286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -16. Let y = v + -36. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11736 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuu when three letters picked without replacement from ufy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d + 11392 - 12204 = 0 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.519378 decades?\nAnswer: 5.19378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22687 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 422625 and 16663500?\nAnswer: 116644500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.547 in 0.3, 1\/7, 2, 0.4, -9852?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/7 + -1\/63. Let b be 1\/(-4) - 18\/(-8). Let f be -5 - (b - (-2)\/(-1)). Sort f, -0.5, k.\nAnswer: f, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t**(-5\/3)*t*t)\/t*t\/t**(-2\/7)*t**2\/(t\/t**2)*(((t*t\/(t\/(t*t**(1\/5)))*t)\/t*t*t)**(-10))**(1\/10) assuming t is positive.\nAnswer: t**(44\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 2 w when four letters picked without replacement from {w: 3, n: 2, g: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2095232*u**2 - 2985476*u wrt u?\nAnswer: 4190464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*p - 12. Let l be 126\/168*(-4)\/(-1). Let t(h) = -8 - 3*h - 6*h**2 - 30*h**3 + 10*h**3 + 19*h**l. Calculate t(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/10 + 2\/(-10). Let m be (2\/4)\/(w\/20). Let d(k) = k**2 - 4*k + 1. Let i be d(m). Calculate the greatest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + t - 7 = 0, 4*t - 75 = 5*q - 61 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 441*f**2 - 442*f + 3. What is d(442)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8822, 8746, 8560, 8216, 7666, 6862, 5756, 4300?\nAnswer: 2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.1949 micrometers to centimeters.\nAnswer: 0.01291949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + 2 = 3*u, 0 = u + 5*x - 14. Let t be (-114)\/(-9) - (-4)\/u. Suppose 3*y + 87 = -t. Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 25*f + 4. Calculate m(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23644, -47277, -70916, -94561, -118212, -141869?\n\"Answer: -3*h**2 - 23624*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:16 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8491 and 145\/59199252.\nAnswer: 59199252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and 434.11.\nAnswer: 433.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -268? (a) 1\/4 (b) -5 (c) -0.1 (d) 1\/10 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 16415.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jof when three letters picked without replacement from {f: 4, o: 1, z: 4, n: 1, j: 7, t: 1}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-39)\/(-21) + -1)\/((-45)\/40). Do y and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 446853 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.068 + 0.068. Let c = -4.06 + 0.06. Put c, d, 5 in descending order.\nAnswer: 5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5351a - 2?\nAnswer: -53521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 0, 3*t + 3*g - 21 = 4*g. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81048\/(-3542) + 23 - (-1)\/7?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*y + k, 2*k = 4*y - 2*k - 84. Let h = 13 + y. Let d be 47\/9 + h\/(-144). Solve 0 = v - d*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124192*q**4 + 9*q**3 + 11*q + 124195*q**4 + 177*q wrt q.\nAnswer: 36*q**2 + 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 - 10*r - 40. Let j(g) = 3*g**3 - 4*g - 20. Calculate -7*j(d) + 3*l(d).\nAnswer: -6*d**3 - 2*d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 11) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 9. Let t be 3\/(-2)*364\/(-6). Suppose 3*f + 3*r = 30 + 54, -3*f + t = -4*r. Calculate the remainder when f is divided by o(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -0.2, 1.1, 704.6, 20, -7 in ascending order.\nAnswer: -7, -0.2, 1, 1.1, 2, 20, 704.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12) + sqrt(48)\/sqrt(4)) + -5)**2.\nAnswer: -5*sqrt(3) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*k - 3206, 7851 = -5*x + 4*k - 8227. What is x rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26503 + -11450. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30, -3, -517 in ascending order.\nAnswer: -517, -3, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + (-352 - -438) + -11.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 5*s + 5. Let o(x) = 10*x**2 - 16*x + 9 + 0 + 7. Calculate -16*c(n) + 5*o(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20054842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -633569264 - -6.15736.\nAnswer: -633569257.84264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 52801720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.6 to 1 dp.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkekeeiqsqkqixkxe. Give prob of picking 1 e and 1 i.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2 - 161*l - 708 wrt l.\nAnswer: 2*l - 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176\/3 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -142*u**2 + 227*u**2 - 87*u**2 - 2*u**3 - 12 as q*u**2 + p*u + m*u**3 + r and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14377, -5741, 2895, 11531, 20167, 28803?\n\"Answer: 8636*z - 23013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -5.5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 717616894.66?\nAnswer: -717616894.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*g**2\/15 - 5984*g\/15 - 36992\/15.\nAnswer: -2*(11*g + 136)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8520 + -8516. Let q = 1 - 5. Which is the smallest value? (a) q (b) -2\/15 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 534*l + 18. Calculate w(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1695 and 8805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 7*h + 702. Suppose x - 2*x = -3*a + h, -3*a - 3*x = -105. Calculate the highest common divisor of a and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2277877 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -1.1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4898813 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (0 + 1) - 1. Let b(l) = -14*l + 1. Let o be b(q). Solve a + 2*a = -o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, p: 1, y: 1, j: 2}. What is prob of picking 3 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -434538 divided by 33426?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654974 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lujldj. Give prob of sequence jd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 216\/96*7\/((-21)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/((-10)\/(-15)). Sort d, -3, 0 in descending order.\nAnswer: 0, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = 11, -3*t + 2014 = -u. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14069618131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 1. Let m(z) = 3*z + 3 + 3*z - 1. Let n(j) = -3*h(j) - m(j). What is n(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145435.284 + 145407.2839852. Let v = -28 - g. Round v to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 6\/5*k - 9\/5 + 3\/5*k**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - a. Let q be g(1). Let i(d) = 2*d**2 + 3*d. Calculate i(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 51*f**2 - 204*f - 2. List the prime factors of v(12).\nAnswer: 2, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12685 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429135.\nAnswer: 3, 5, 7, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4 + 4)\/4)\/(2 + -4). Solve -2*x - 4 - 2 = f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*l**2 + 106*g*l + 386*g + 567783*l**5 + l - 3 wrt l?\nAnswer: 6*g + 11355660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 28811 = -31931. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 64 = -s, -3*t + 5*t = 4*s - 268. What is the greatest common factor of 442 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89034453.\nAnswer: 3, 9892717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 11119152?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6492 - -6496. What is the closest to 0 in 18, p, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -3)\/(3\/6). Solve n*l = 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1254788*u**4 - 2*u**2 + 281461?\nAnswer: -30114912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1016 - 941. Solve -11*j = 4*j + f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2461 (b) -0.73 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 4. Let x(s) = -12 + 21 - 3*s - s. Determine 7*r(o) + 3*x(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14166 - 297445\/21. Find the common denominator of 16\/5607 and h.\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3 - 1940*z**2 + 937008*z + 3779136 = 0.\nAnswer: -4, 972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -18*x - 33. Let i be t(-7). Suppose 36*b + i = 37*b. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -260, -263, -278, -311, -368, -455?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*j + 62 = 0, 0 = 2*j - 0*j. Let w = -2 - a. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -d + 6*d. Let g be (d\/(-2))\/((-3)\/(-9)). Let y = g + 5. Which is the second biggest value? (a) y (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5448 + 130771\/24. Find the common denominator of 133\/24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 199*u. Let t(j) = -26*j**2 + 6*j. Let b(x) = 70*x**2 - 16*x. Let g(a) = -3*b(a) - 8*t(a). Calculate i(g(p)).\nAnswer: -4*p**4 + 398*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -174 - -172. Which is the closest to o? (a) 4\/5 (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-2 - -1)*5. Let m(v) = -v**3 + 15*v**2 + 2. Let w be m(o). Suppose 0 = -4*n + 7 + 1. Solve -s + w = -n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, d: 2}. What is prob of sequence eede?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**7\/315 - t**6\/240 - t**5\/30 - 5*t**4\/6 - 18*t. Let r(d) be the third derivative of z(d). Is r(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-275))\/((-1)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 x when three letters picked without replacement from jjxxuuujjjyy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 15*v**2 - 159*v - 2332. Calculate z(17).\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 33*q + 264. Let f be s(-8). Solve -2*v = 3*z - 10, f = 3*v + 4*z - 6*z + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62.7*44866\nAnswer: -2813098.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.0938178?\nAnswer: 0.0938178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 = -4*t + 4, 3*u + 5*t = 5. Let a(x) = -13 + 13*x + 9*x**2 + u + 9*x - 8*x. Let p(n) = 4*n**2 + 7*n - 6. Give 6*a(i) - 13*p(i).\nAnswer: 2*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 + -1.4. What is the biggest value in -3\/4, l, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - (108 + 35 - 58)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 35, 36?\n\"Answer: h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 734*f*n**3 + 6*f*n + 123731*f + n**2 wrt n?\nAnswer: 2202*f*n**2 + 6*f + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28659, -28661, -28663?\n\"Answer: -2*v - 28657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -b - 0*b. Let q = b - -7. What is the second derivative of -t**3 - t - 3*t**3 - t + q*t**3 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13665, 27042, 40419, 53796, 67173?\n\"Answer: 13377*p + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 8\/(-60) - (-5)\/(150\/14524)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, -3, 4 in descending order.\nAnswer: 4, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*n + 7964 = -2816 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 324449214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - ((12 - 22) + 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -599, -921?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.96 - -0.04. Suppose -2*x = -31 + 35. Let r be (10\/(-30))\/(x\/(-6)). Sort -1\/21, c, r.\nAnswer: r, -1\/21, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(((-3)\/18)\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/45)\/((-6)\/((-60)\/25))?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4809233 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 15 + 12, -4*m + 15 = 5*f. Let h = 10 + -6. Suppose -3*j = -h - 8. Put -1, m, j in decreasing order.\nAnswer: j, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 11:12 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -21. What is the smallest common multiple of s and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27695, -28005, -28523, -29249, -30183, -31325?\nAnswer: -32675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 50*m**3 - 120*m**2 - 110*m - 35.\nAnswer: -5*(m + 1)**3*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -4*(sqrt(1584)*1*5 + -5 + 1))*-4)**2.\nAnswer: -3840000*sqrt(11) + 253600000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) - -2*sqrt(896) - sqrt(14))\/sqrt(7).\nAnswer: 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3 + sqrt(1700) + sqrt(1700) - sqrt(1700)) + (sqrt(1700) - 3*sqrt(1700))*-1)**2.\nAnswer: 60*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -85 (b) -0.02 (c) -0.121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 997, 1334, 1563, 1684, 1697, 1602?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*i + 2*i**3 + 2 - 160*i - 135*i to the form h*i**2 + m + y*i**3 + j*i and give j.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 717744*g**2*i**3 - 2*g + 376*i**3 - 311 wrt g?\nAnswer: 1435488*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 13*j**2 - 21*j - 31. Let q(l) = -5*l + 4. Give 2*n(z) + 11*q(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322025*l = -322182*l - 7222 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 258398?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 43*j**2 + 8. Let t(f) = 14*f**2 + 3. Let r = -269 + 272. Let u(k) = r*n(k) - 8*t(k). Let w(o) = 2*o**2. What is u(w(i))?\nAnswer: 68*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -112030 (base 4) to base 6\nAnswer: -10324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -15 - (4 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 2*a**3 + 36.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1749, -1725, -1655, -1515, -1281, -929?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225507, -451034, -676561?\nAnswer: -902088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -20*d**3 + 50*d**2 + 54*d - 12. Let k(l) = 15*l**3 - 38*l**2 - 41*l + 9. Calculate 9*k(h) + 7*y(h).\nAnswer: -5*h**3 + 8*h**2 + 9*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let r = 13\/6 + -5\/3. What is the nearest to r in y, -0.3, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/376*-1)\/(-24*16\/(-1024))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261694 a multiple of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-3)\/(6\/4)). Let x be -3 - 20\/(-716)*107. Let h = x - 533\/358. Sort h, i, 0.5 in ascending order.\nAnswer: h, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 4:11 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -216 in 1, -3, -1, 0.5, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3155, -13116, -29703, -52904, -82707, -119100, -162071?\nAnswer: -211608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 532?\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*(r*r\/(r**(3\/2)*r))\/r*r**6\/(r*r**(-1\/8)*r))**(-47) assuming r is positive.\nAnswer: r**(-2867\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 185795\/(-3)*(-1356)\/2260 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/5)\/b*b*b*b**5)\/(b**0*((b**(2\/9)*b*b)\/b)\/b) assuming b is positive.\nAnswer: b**(287\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 8, q: 2}. Give prob of picking 2 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -111? (a) 3\/8 (b) -2\/7 (c) -6 (d) -0.3 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 8*r**2 - 3*r + 6. Let b be f(-8). Suppose 0 = -10*i + 5*i + b. What is the lowest common multiple of 9 and -1 + -3*(-4)\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -26, 1.6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 51*v - 60. Let u be h(13). Let z be u\/15 + 14\/(-70). Is z greater than 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612812 (base 13) in base 9?\nAnswer: 4226882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7711 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*t - 127*t = 1800. Suppose -3*z + 2223 = t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m**5\/2 + 555*m**4\/2 + 271*m**3\/2 - 595*m**2\/2 - 149*m + 20 = 0.\nAnswer: -20, -1, -2\/3, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -5. Let p = 1 + -3. Calculate the least common multiple of q and p\/6 + (-147)\/(-9).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -4.6. Let w = -5 + l. Let q be (-3)\/6 + 1\/(-10). Put w, q, -0.3 in ascending order.\nAnswer: q, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*a**3 - 863*a**3 + 5*a**2 - 984*a + 984*a.\nAnswer: -1221*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591571998496*p + 6*p**2 - 8*p**2 + 591571998496*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33302 = 2*s + w + 33302, -w = -4*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -x - i, 2*x + 2*i + 2*i + 168 = 0. Let j = x + 98. Calculate the remainder when 45 - (2\/(-1) + 2) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*w + 10 - 35, -3*a - 4*w = 11. Suppose 4*n - 3*m - 2189 = 0, 5*n - 2719 = -a*m + m. Round n to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654 - -10450935?\nAnswer: 10455589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 6 + -39 + 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 8 + 24 + -1 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2234 * 150.\nAnswer: 335100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**2 + 7*w**4 - 644*w + 1283*w - 641*w + 3*w**3 wrt w?\nAnswer: 168*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.4. Put 2\/5, l, -1 in increasing order.\nAnswer: -1, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 33600.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76654518 + 3?\nAnswer: 76654521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -393 - 122. Let s = d + -70. What is the highest common factor of 33 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r + 3*r)*(19*r**2 - 265 + 265) + 16*r**2 - 16*r**2 + 18*r**3.\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 5. Let d be l(-12). Suppose -d*j = -3*j - 36. Suppose 0 = j*b - 5*b - 268. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2902194 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -0*y + 4*n, -3*n = 4*y - 44. What is the remainder when 27 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2055 and -83\/274.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = -2*p - 15*p. Let n = 1 - -2. Solve -n + p = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -39. Let m(b) = -b**3 + b**2 + 1. Let n(z) = -12*z**3 - 9*z**2 + 2. Let h(i) = d*n(i) + 2*m(i). What is the third derivative of h(j) wrt j?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -6. Let s(p) = 4*p**2 - 10*p - 3. Let y(j) = 5*j**2 - 11*j - 4. Let d(m) = 6*s(m) - 5*y(m). Determine d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -342 = -351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = 6*i. Let f = 10 + i. Suppose f*l - l - 2*y - 771 = 0, l = -2*y + 159. What is l rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*b - 106*b = 47*b - 1232 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318.1017um to kilometers.\nAnswer: 0.0000003181017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.4 + -0.6. Let k = j + -32. Let p = -0.80016 + k. Round p to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.26 + 1.74. What is the nearest to 9 in v, 0.1, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/12 - 85*u**4\/24 + 95*u**3\/3 + 37*u**2\/2 + 154*u. Let c(l) be the first derivative of p(l). What is z in c(z) = 0?\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 111*m + 51*m - 3 + 55*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000097292341 rounded to 7 dps?\nAnswer: 0.0000973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:10 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c - 23. Let r be t(6). Suppose -r*u + 6 = -43*u. Sort u, -10, 1\/4.\nAnswer: -10, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 9) to base 7.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -330*g**3*n - 21*g**3 wrt n?\nAnswer: -330*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.096, -1978, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 15*w - 11. Let t(p) = 10*p**2 - 162*p + 38. Let m be t(16). Give h(m).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/(-2))\/(9\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.504 minus 125?\nAnswer: -124.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-500)\/(-35) + ((-18)\/(-21))\/(-3). Let l be 4\/(-2)*7\/h. What is the remainder when 37 is divided by ((-3)\/3)\/(1\/(-11)) + l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 1040?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 36. Let y be q(3). Calculate the highest common factor of y and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91606.47 days to hours.\nAnswer: 2198555.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*r + 414 - 414)*(-4*r + 0*r + 2*r) in the form j*r + a*r**2 + o and give a.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -9 - (2 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*k - 9, -2*i + 11 - 5 = 0. Solve 0 = k*h - 17 + 47 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 - 800*i**2 + 32815*i - 32010 = 0. What is i?\nAnswer: -194, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4676 to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/5*y**4 + 2\/5*y + 1\/5*y**5 - 3\/5*y**3 + 1\/5*y**2 = 0. What is y?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 15573?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377 divided by 2174.\nAnswer: 377\/2174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0)*((-186)\/700 + (-244)\/(-854)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -347.47\nAnswer: -104.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 3*k**3 + 4*k**3 + 4*k.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 532043.5km in micrometers?\nAnswer: 532043500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 13) to base 3.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:50 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -5 (c) 2\/7 (d) 12 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15.5 in -0.3, -84\/19, 7?\nAnswer: -84\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2574 and 11781?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, -1\/3, -3 in ascending order.\nAnswer: -3, -1\/3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/6)\/((-6)\/(-9)) - -7745. What is the hundreds digit of q\/28 + 3\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6441972 is divided by 413?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7182.086l in millilitres?\nAnswer: 7182086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/11 - 1587952\/(-35794)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {l: 2, r: 4, j: 10, y: 1}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*d + 25, 5*d - 2*o - 4 = 27. Suppose -808 + 223 = -d*p. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.905 + -0.005. Let v = -0.5 + 1.4. Let u = v - n. Sort -2\/5, u, -4.\nAnswer: -4, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**3 + 45*a**2 + 50*a = 0?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8536, -17088, -25640, -34192, -42744?\n\"Answer: -8552*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - 4*j**3 + 189 - 55277*j**2 - j**4 + 5*j**3 + 55275*j**2 + 106 to t*j**3 + a*j**2 + m*j + u*j**4 + b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*x**2 + 45 + 241*x**2 + 7*x - 146*x**2 - 45.\nAnswer: 15*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-52248)\/(-77))\/8 - 4\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 6*w - 7. Let t be u(6). Let z = t + 10. What is the third derivative of -3 + 3 - 2*f**z + 3*f**2 + 4*f**3 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1617735\/568)\/(-155)*4\/14)\/(1\/8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 25, 2.27 in increasing order.\nAnswer: -4, 2.27, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -16*w**3 + 200136*w**2 + 300231*w + 112590 = 0.\nAnswer: -3\/4, 12510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2284, 620, -4990, -14546, -28048?\nAnswer: -45496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - 18*w**2 + 4*w**2)*(1 + 1 - 4 + 3 - 4 - 1 + (1 - 3 + 4)*(-1 + 0 + 2) + 5 - 4 + 0 + 1 - 6 + 3 - 4 + 2 - 1) to h*w + q*w**2 + t and give q.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 12732.\nAnswer: -9\/1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*y**2 + 4*y**2 + 5*y**2 + 5 - y**2 wrt y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -41\/3, 1\/27, 1\/12, -2?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -14. Solve -t - 6 = 2*j, -2*j + n = -0*t + 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020b (base 15) to base 13\nAnswer: -373ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/24*2\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 5722142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28825565, 28825564, 28825561, 28825556, 28825549, 28825540?\n\"Answer: -l**2 + 2*l + 28825564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 q when three letters picked without replacement from qvbvqqv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121.0000267 + -121. Round w to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528153 is divided by 8002?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 147 = -14*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98671*n**4 + 3*n**3 + 245337*n**2 - 1?\nAnswer: -2368104*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 5510231?\nAnswer: -5510224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15558667.\nAnswer: 1013, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110100100 (base 2) in base 5?\nAnswer: -102432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52132 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 49 + -3 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14039 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from fgsjjjgomggsgoo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/4 - m**3\/3 - 3*m**2 + 9*m - 1. Let w(i) = -i**2 - i - 1. Calculate f(h) - 6*w(h).\nAnswer: 3*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16292 divided by -3113?\nAnswer: 16292\/3113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94030, 188066, 282106, 376156, 470222, 564310, 658426, 752576?\nAnswer: 846766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257474 is divided by 651.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1741361 or 1741353?\nAnswer: 1741353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 - 3*u)*(-3 + 3 + 2)*(-4 + 4 + 1).\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {l: 2, e: 1, f: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/264 and -145\/152088.\nAnswer: 1672968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*30\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 1 w when three letters picked without replacement from fffwnfoxnowffwffafxf.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.7. Let o = 97 + -102. Let g = -0.064 - 0.936. Which is the second biggest value? (a) g (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -1\/2 (c) 0.3 (d) 2\/5 (e) 23 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 596.89 - 541. What is j rounded to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6708 - 6688. Calculate the smallest common multiple of 16 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3628 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 less than -14304420?\nAnswer: -14304382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1331022010 + -2?\nAnswer: -1331022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6220377*a**2*q**3 - 8*a**2*q**2 - 2*a**2*q + 134007*a - 2*q**2 wrt q.\nAnswer: -37322262*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 8*w**2 + 4*w + 2. Let z be j(-8). Let s be (z\/9)\/((-2)\/72). Suppose 0 = x + 4*x - s. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744*i + 734*i = 50030. Round i to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2169357 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 5*n + 3*k, -n - k = -4*n + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/8 - 105855*m**3\/4 + 3744819639*m**2\/8 - 85795159935*m\/2 + 1970716161027\/2.\nAnswer: 3*(m - 35239)**2*(m - 46)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f - 1. Let g(i) = 3*i**2 - 9*i - 2. Let j(s) = -5*c(s) - g(s). Is j(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/510 - (-1053)\/(-8730)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + 2 - (3 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7384343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 2748*f + 10928.\nAnswer: 4*(f - 683)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 + 222. Let i = s + -46. Let g = 30.9999942 - i. What is g rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7570 + 7594. Calculate the greatest common divisor of n and 1912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-6)\/sqrt(4).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2*-467649\nAnswer: 935298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**2 + 6*g + 2*g**2 + 4*g**2 - 12*g**2. Give t(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = 4*w, 2*w - 6 = -4*v - 14. Let c(p) = -12*p - 43. What is the remainder when 39 is divided by c(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 127 - -84 - (-1 - -53)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 7*u - 10*u + 38*u - 12*u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 - 15*i - 10 = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -725.9468713 rounded to 0 dps?\nAnswer: -726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -46523 - 3\nAnswer: -46526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1142 = 3542. Let g be y\/(-3 - 1128\/(-375)). Suppose -g = b + 2*b. Round b to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = -3290 + 3326. Let b(p) be the first derivative of -7*p + 0*p**q + 8 - 8\/3*p**3. What is the first derivative of b(g) wrt g?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = k - 50 - 29, 3*p + 3*k = 27 + 54 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2 + p**2 + 6*p - 7*p**2 + p**3 + 0*p**3. Let u be v(5). Solve -k - i = -u - 5, 3*i = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44129*h**3*s**3*y**2 - h**3*y**3 + 36083*h**2*s**2*y**3 - 2*s**3*y wrt h.\nAnswer: -264774*s**3*y**2 - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 21*a - 17. Let v be y(-12). What is the derivative of -388*p - 154 + 763*p - v*p wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvzffzfccjfrff. Give prob of sequence rz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + h - 2*h - 10*h in the form m*h + n and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26115.874 rounded to the nearest one hundred?\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 + 135. Suppose 5*n + i = 602, -5*i + 611 - 121 = t*n. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/9))\/(r**3*r))\/(r\/(r*r**(-1\/2)*r*r))**(2\/17) assuming r is positive.\nAnswer: r**(-466\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201992181 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4495*k**2 + 3*k - 4496*k**2 - 3*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018568832 to 6 decimal places.\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (-1*sqrt(108))**2 + 2 + 5 + (0 + sqrt(108) + sqrt(108))**2 + (5*sqrt(108)*3)**2 + 0 + 3.\nAnswer: 6*sqrt(3) + 24850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1765126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*((-95)\/35 + -1 + 4). Calculate the least common multiple of (-2384)\/(-36) + b\/(-18) and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 - -283. Let f(k) = k**2 - 15*k + 44. Let z be f(d). Solve 5 = -g - a, g + 2*a + 2*a + 17 = z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19729 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4\/5 (b) -0.01 (c) 89 (d) -10 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*f + 1968783 - 7*f - 1967528 + 17*f**3 wrt f.\nAnswer: 51*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 2*d**7\/105 - 13*d**6\/30 + 4*d**5\/5 - 2*d**2 - 202*d. Factor h(b).\nAnswer: 4*b**2*(b - 12)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075.749 rounded to the nearest 10?\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 3*l - 4. Let j be n(4). Suppose -b + j*y - 3*y + 21 = 0, 0 = -5*b + 4*y + 67. What is the remainder when 28 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 >= -193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34351523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 0*b**2 - b**2 + 2*b**2 - 3*b**2 + 0*b**2 + (b - 2 + 2)*(-116*b - 122*b + 85*b).\nAnswer: -155*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -3*s**4\/8 + 3*s**2 + 21. Let o(t) = 10*t + 3. Determine o(k(m)).\nAnswer: -90*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7 - 11 + 10*t)*(0 + 1 - 3 + (3 + 47 + 3)*(-2 + 2 - 3)).\nAnswer: -1610*t - 483","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let g(c) = -14*c + 322. Let a be g(23). What is the second derivative of a*m**5 - 5*m - 3*m**5 + s*m**5 wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*j - 84*j - j**2 + 3*j**2 - 5*j**2 + 2.\nAnswer: -3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - s**3 + 0*s**3 + (-s**2 + s**2 + 2*s**2)*(-2*s + 3*s - 3*s) + 82*s**3 - s - 123850*s**2 - 2 + 123850*s**2.\nAnswer: 77*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 (base 7) in base 2?\nAnswer: 110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5879 times -1299\nAnswer: 7636821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/10 + 1\/5. What is the third biggest value in w, -2\/5, 5\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402293 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 + 784*r**2 + 45218*r + 44436 = 0. Calculate r.\nAnswer: -322, -69, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(72))**2 + 1 + 4 + 3.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-15))**(2\/51)*(y**(3\/5)*y\/((y\/(y**(9\/4)\/y))\/y))**(-1\/27) assuming y is positive.\nAnswer: y**(1477\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-2 + 28\/(-4)). Let w(b) = -4 - 2*b**3 - 11*b + k*b + b + 0*b**3. Let f(h) = -h - 1. What is 4*f(c) - w(c)?\nAnswer: 2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1368193.\nAnswer: 5\/1368193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6726247ml to litres.\nAnswer: 0.0006726247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000643 to 7 decimal places.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*o = -120. Let y be o\/8*48\/(-15). Solve -3*u = 2*i - 2*u - y, 4*u + 1 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 44 = -2*f, -2*f - 3*s - 10 + 103 = 0. Solve -50*m + 56*m - f = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20895639 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707316251?\nAnswer: 6029, 117319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/49 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**5\/4 + n**3\/3 - n**2\/2 + 5*n - 2. Let u(z) be the first derivative of a(z). Let v be u(1). Which is smaller: 2\/3 or v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 933.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127056 and 55587.\nAnswer: 889392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 281 from 367284727.\nAnswer: 367284446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g + 2*i = 22*g + 6, -4*g + 12 = 4*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = m - 5*b, 314*b - 310*b = m - 19. Solve 0 = -4*s - 24, -m*y + 5*y - 5*s = 30 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 26*o**3 + 74*o**2 - 5*o + 20. Let u(m) = 13*m**3 + 36*m**2 - 2*m + 8. Determine 2*p(q) - 5*u(q).\nAnswer: -13*q**3 - 32*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 7. Let k be t(-10). Suppose 2 = -5*a - k. Let i = a + 60. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 971?\nAnswer: -3884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 15428*h + 5983*h - 21411*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b4 (base 15) in base 3?\nAnswer: -2101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*z + 17, -7*z + 15 = 4*u - 4*z. Solve u*a - 1 = q, 5*a + 0 = -q - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48351008887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 8. Let l be 5*(-4)\/(-20)*4*-166. Let d = l + 669. What is the least common multiple of d and q(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555541 is divided by 1792?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 2*s**2 + 4*s - 3. What is l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -9, -5 = 4*j - 0*j + 5*m. Let a = j - -4. Sort 1, a, 8.\nAnswer: a, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1785572 and -0.16.\nAnswer: -285691.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9922*a**5 - 624862*a?\nAnswer: -198440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0*o**3 + o**4 - 9\/2*o**2 - 15*o + 0. Differentiate x(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121230011 (base 4) in base 10?\nAnswer: -367365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1333401440?\nAnswer: 1333401430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7699?\nAnswer: 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = 3*o + 2*h, 0 = -2*o - 2*h. Let a be 1 - (32\/(-18) + o). Let q = a + 19\/45. What is the nearest to 0.2 in 4, q, -4\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 375 and 120?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.670361606 and -12.\nAnswer: -12.670361606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 5*s + 3*t + 290954 = 0, -2*t - 218217 = -3*s. List the prime factors of s.\nAnswer: 11, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/4 + 2435*a**3\/2 - 34123*a**2\/4 + 19505*a - 14631 = 0 for a.\nAnswer: -4877, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 4:05 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.57920217 + -88.18.\nAnswer: -87.60079783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-3) + -1 + -1. Let s = -1.322 + -0.678. Let l = 0.01 + -0.01. Which is the nearest to l? (a) -0.1 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c905d4 - 4?\nAnswer: -5c905d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -21a?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2597886473?\nAnswer: 7, 13, 19, 127, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from uuwuuwuw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 6*v - 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*g = 0, 0*q + q = 4*g + 16. Suppose 3*j = 4*j - 5*h + 9, 5*j - 42 = -q*h. Calculate the remainder when 23 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 11*h - 3*h**2 - 2*h**2 + 6*h**2 + 12. Let y be a(8). Let n(j) = -j**3 + 5*j**2 - 3*j + 2. Give n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 562940 by -35.\nAnswer: -16084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -190895, -190891, -190889, -190889, -190891?\n\"Answer: -i**2 + 7*i - 190901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 1083, 1638, 2201?\nAnswer: 2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20825, 41625, 62425, 83225?\n\"Answer: 20800*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 + 7*g + 4. Determine n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17405*z**5 - 6*z**4 - 976*z - 20?\nAnswer: -348100*z**3 - 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, r: 1, t: 6}. Give prob of picking 4 t.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 4*s + 3*s)*(0*s**3 + s**3 + s**3) + 6*s**4 + 18*s**4 - 34*s**4 to o*s**2 + v*s**3 + x*s + m*s**4 + g and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/((-27)\/9))\/(1\/3). Let s(j) = -27*j**3 + 2*j**2 - 2. Let u be s(h). What is u rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tata when four letters picked without replacement from aaaavvvavatvttatv?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662.528 rounded to the nearest one hundred?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 24. Let i be c(-20). Suppose 0 = 3*l - 0*l + 4*x, l + 3*x = 0. Solve -2*u - 4 - i = l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*q + 4 = 209*q + 3*g, -2*q = 3*g - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407.5921ns in minutes?\nAnswer: 0.000000040126535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-104)\/(-33)) + (-2)\/11?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 - 4\/21. Let q = 15 + -10. Suppose 6 = -q*t + 1. Is t at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.76083 millilitres?\nAnswer: 0.06576083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -29, -45, -65?\n\"Answer: -2*r**2 - 6*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**2\/5 + 9*o + 9\/5.\nAnswer: -(o - 3)*(16*o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -409 (b) -2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*q**3 + 2*q**2 - 2*q**2 - 493*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682 is divided by 193?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5*m + 1)*(-11*m**2 + 18 - 18 + m**3) in the form u*m**3 + p + d*m + y*m**2 + v*m**4 and give u.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 14 - (521 + -516) - -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let g be -2 + 4\/(4\/7). Sort 2, g, y in decreasing order.\nAnswer: g, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128945684 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**5 + 0*c**5 - 4*c**5)*(3 + 2 - 1) + (c**2 - c**2 + 2*c**4)*(5 + 0 + 1)*(-5*c + 4*c - 2*c).\nAnswer: -44*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -668*x - 728 + 12 + 48 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-1)*(i*i**(1\/2)\/i)\/i*(((i*i*i**(1\/5)*i)\/i)\/i)**1 assuming i is positive.\nAnswer: i**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6)*(-9)\/(-2). Let g be (-3 - -6) + -2 - s. Suppose g*m - 4*x - 24 = 0, m + 4*m = x + 38. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Calculate the remainder when 5203 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*u = -4*d - 183*u + 24, 2*u + 4 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24633 by 21.\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1234001 is divided by 462.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60706, -121410, -182138, -242902, -303714, -364586?\n\"Answer: -2*z**3 - 60690*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9 - 15 + 24 + 9*x. Let p(i) = -2*i. Let n(g) = g. Let t(b) = 4*n(b) + p(b). Give d(t(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 67\/5. Sort -1\/5, 3\/11, x in increasing order.\nAnswer: x, -1\/5, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 + 2*h + 1. Suppose -2*k + 6*k - 4 = 0. Suppose -2*r + 4 = -6*r. Let q(c) = c**3 + c + 1. Calculate k*q(t) + r*z(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*g + 275*g + 354*g + g to v*g + d and give v.\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-392)\/(-294) - 129\/9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -7.8?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 2900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2. Let u(n) be the second derivative of n**6\/720 - n**4\/12 + 2*n. Let m(d) be the third derivative of u(d). Calculate m(r(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 3*a**3 + 5*a**2 + 2*a**3 + 0*a**3 in the form p + r*a**2 + u*a**3 + k*a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 7 (c) 0 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + k + 2. Let y(b) = 73*b**3 + 31*b**2 - 9*b - 18. Let v(n) = -2*y(n) - 18*z(n). What is the third derivative of v(x) wrt x?\nAnswer: -876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4))**46 assuming g is positive.\nAnswer: g**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 smaller than 241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 667 + 4?\nAnswer: 66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44502 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.2. Let r = s + 1.2. Let k = 1.0000006 - r. What is k rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125*d - 218*d - 121*d - 580*d)*(-4*d + 2*d + 0*d) to the form o + q*d**2 + v*d and give q.\nAnswer: 1588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -4. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.012 + -0.312. Let n = i + -15.997. Let z = n - 13.803. Round z to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*8\/(-4)*-1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 12*i**2 - 2*i - 9. Calculate r(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from xwcgyyoggcwyygwggw?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112676, 225348, 338020, 450692?\nAnswer: 563364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -16, -4, -208?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(3\/5)*o*o)\/(o\/(o*o*o**14)*o*o))\/(o**(-11)\/(o**(-1)\/o*o)))**22 assuming o is positive.\nAnswer: o**(2816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 233 = -125 - 396 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68580 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 64 - 33 - 32 + 11*q**2. Let s be l(1). Is ((-3)\/4)\/(s\/(-1640)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878*q - 850*q - 835*q + 38*q**2 + 2563*q.\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 7*h. Let j be b(7). Suppose j = -17*z + 15*z + 4. Solve z + 0 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and -30.97?\nAnswer: 30.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 26736503?\nAnswer: 26736504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9903 and 182010538?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 - (-103 - (-55 + -3))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14086 + -14085.8. Let f = -5 + 2. Which is the second biggest value? (a) f (b) v (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x + 15 = 0. Let s = x - 7. Which is the third biggest value? (a) 1\/3 (b) s (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819482 greater than or equal to 8819471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 164210 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/6 + 1210*v**2 - 7251*v\/2 - 21771 = 0. Calculate v.\nAnswer: -3, 6, 7257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*(-168)\/(-42). Solve -q*j = 3*y - 0*y + 16, 28 = -4*y - 4*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.00031 - -23. What is t rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*-2)**2 - sqrt(5)) + -2.\nAnswer: -sqrt(5) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + y. Let u be l(1). Let x be -2*(-2)\/3*501. Suppose -4*z - 254 = -2*n, 5*n + 0*n + z - x = u. What is the highest common factor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*z - 16 = 34, 2*i + 3*z - 15 = 0. Suppose 5*t = 5 + i. What is the first derivative of t*s**3 - s**3 + 15 + s**3 - 2*s**3 wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 5:24 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v. Let l = 0 - v. What is the derivative of l - 4 - f**4 + 3 wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {u: 4, m: 6, s: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 4. Let q(v) = 4*v + 3. Determine 2*j(w) + 3*q(w).\nAnswer: 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 6*v**2 + v - 4. Let a be t(6). Let s be 18 - (a*3)\/3. Solve 5*x - 15 - 3 = -y, s = 5*x + 2*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 4. Let h be u(-17). Suppose -24*y + h*y = -651. List the prime factors of y.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(40\/(-8) - -4) + (-22)\/(-2). Solve -a*x = -109*x + 96 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1649.835 kilometers to millimeters.\nAnswer: 1649835000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 25 = -15. Let u be (-9)\/12 - (-9)\/12. Put -2, u, m in descending order.\nAnswer: u, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.58936348 to two dps.\nAnswer: 19.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 4*u + 7. Let f be c(3). Let n(v) = v + 4. What is n(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -32323?\nAnswer: -32320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.06, 4734\/17 in increasing order.\nAnswer: 0.06, 2, 4734\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1. Let k(r) = 30*r + 10. Let n(b) = -k(b) + 2*w(b). List the prime factors of n(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(44\/(-198))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 32 = -x + 5*x, 3*x - 4*f = 26. Let a be (-4 + 4)*2\/x. Solve a = -7*n + 3*n + 3*g, -5*g = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 10. Suppose 4 = -4*r - 24. Let n be d(r). Let o = 8 - 8.1. What is the closest to o in 1, n, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5 = -c, 22*c + 25 = -r + 17*c. Solve 19*n - 26*n - 35 = r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + 11111011110001?\nAnswer: 11111011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*s - 51 = -19, 3*t + 4*s + 40 = 0. Let b(y) = -24*y - 9*y + 36*y - 8*y. Calculate b(t).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 930, 2869, 7880, 17499, 33262?\n\"Answer: 256*d**3 + 147*d + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3756, 352, 3, -1.\nAnswer: -1, 3, 352, 3756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10275216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-150)*(-1)\/(-11)*3\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1201, 2386, 3571, 4756?\n\"Answer: 1185*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -153 (b) -9\/4 (c) 61\/179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6538 + -64391.3?\nAnswer: -70929.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*z - 3583 = 0, -7*d + 3*d + 4*z = -3548. Suppose d = y + 270. What are the prime factors of y?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001285538 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:49 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s**2 - 10*s + 5. Let d(n) = -3 - 25*n - 6*n**2 + 34*n - 3*n. Let i(w) = -10*d(w) - 6*o(w). Let l(a) = -9*a**2. Calculate i(l(j)).\nAnswer: -486*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k - 93 = -104*k + 9*u, -4*k - 3*u - 3 = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 4*h**2 - 7. Let o be b(-6). What is the third derivative of -20*j**3 - 30*j**2 - 34*j**2 + o*j**2 wrt j?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhd when three letters picked without replacement from ddvddddhdnddn?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(-17\/6))\/z**(22\/3))\/((z*z\/(z*z**19)*z)\/z*z)**(-14\/3))**(-4\/25) assuming z is positive.\nAnswer: z**(982\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 5*j**2 - 7*j + 8. Let p be y(6). Suppose -3*c + p*g + 47 = 0, -c + 21 = -0*c - 2*g. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10+-218\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7 + -7.8. Let p = 0.4 - 0.6. Let g = p - -1.2. Put r, -1, g in descending order.\nAnswer: g, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37467 + 1d?\nAnswer: 37484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (-6 + 6 - -5) - 28.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24666*u + 300 = 24641*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 3:46 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 447312 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)*p**(-12))\/(((p\/(p*p**1)*p)\/p)\/p**5) assuming p is positive.\nAnswer: p**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 76\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33460, -40570, -47692, -54832, -61996, -69190, -76420, -83692?\nAnswer: -91012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Let y be (-3 + 2)\/1*9. Let s = -6 - y. Which is the biggest value? (a) -0.4 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/((g*g**6)\/g)*(g**3*g)**(1\/4) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9466?\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(147))*-2)**2.\nAnswer: -56*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**2 - 54*u - 6. Let f(w) = -w**2 + 9*w + 1. Let n(t) = 6*f(t) + m(t). Let a(o) = 39*o + 2. Give a(n(y)).\nAnswer: 195*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3769, 15614, 35377, 63058, 98657, 142174, 193609?\nAnswer: 252962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 618899 and 778.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18671*l + 18316*l - 13845 = 0 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0 - 18. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let k(b) = b + 0*b + f*b. Let c(d) be the first derivative of -4*d**3\/3 + 4. Calculate c(k(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -994*d. Let n(l) = -10*l. Give v(n(j)).\nAnswer: 9940*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = -t. Let a(u) = u**2 - 10*u + 10. What is the units digit of a(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Let l(w) = 3*w + 39 - 3*w**2 - 39 + w**y. Let f(z) = -z**2 + 4*z - 1. Let s be f(2). What is l(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k + 7. Suppose -4*z + w + 9 = 0, -z - 9 = -0*z - 4*w. Let f(j) = 9*j - 31*j + 18*j + j**z - 3 + 2*j**2. Let s be f(-2). Calculate y(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -7, 2\/7, -5, -0.4, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -775 by -1448.\nAnswer: 775\/1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w - 130*w**2 - 7 + 277*w**2 - 133*w**2. Let b(a) = -13*a**2 - 6*a + 6. What is -7*b(t) - 6*s(t)?\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f. Let v(l) = 40*l - 26. Let o(w) = 59*w - 42. Let p(b) = 5*o(b) - 8*v(b). What is h(p(x))?\nAnswer: 50*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -23, 6, -31, -5, 2 in ascending order.\nAnswer: -31, -23, -5, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75.2 + -0.2. Let n = 380239.999936 - 380165. Let d = g - n. Round d to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 1. Let o(t) = t - 1. Give 4*o(p) + 3*q(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 52 - 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34127160 divided by -2?\nAnswer: 17063580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.628+-0.0477\nAnswer: 0.5803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-433*p + 857*p - 383*p)*((-7 + 1 + 4)*(2 - 2 - 1) + 1 + 3 - 1)*(3*p**4 - p**4 + 0*p**4).\nAnswer: 410*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l + 16. Let x = -2 - l. Suppose -5*a + 4 = x*m - 4*a, -5*m + 10 = -4*a. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + (sqrt(13) - 4*sqrt(13)))**2.\nAnswer: -24*sqrt(13) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Suppose -9 = h*z - 3*z + 4*f, -6 = 3*f. Let t(l) = 4*l**2 - 2*l - 1. What is t(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127 (base 12) to base 2.\nAnswer: -10101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601107 = -0*m + 39*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-15) - (-16)\/80.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 921, 2793, 6463, 12537?\nAnswer: 21621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15993783.\nAnswer: 3, 13, 223, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**4\/12 + x**3\/6 - x**2. Let z(t) = -t + 3. Let y be z(-3). Let l(u) = -5*u - 2 + 2*u + y*u. Determine -5*l(o) - 8*m(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from dktkktdkk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -253, -253, -249, -241, -229, -213, -193?\n\"Answer: 2*k**2 - 6*k - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 7*g**3\/6 - 12*g**2 - 11*g. Differentiate k(r) wrt r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -110673477 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214404 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 55*y - 59972. What is b(219)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 7*z**3 + 4*z**2 + 2*z**2 - 18*z**2 + 4*z**2 + z - 3*z**2 to k + d*z + r*z**2 + w*z**3 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 times 998?\nAnswer: 87824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635327225 rounded to the nearest 1000000?\nAnswer: 2635000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 79*p**5 - 610*p**4 + 1091*p**3 - 230*p**2 - 296*p - 42. Let b(c) = c**5 - c**4 + c**3 + 2*c + 1. Let y(x) = 2*b(x) + m(x). Let y(u) = 0. Calculate u.\nAnswer: -2\/9, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 245825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6620731981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x - 5*x = 96. Let p(k) = -2*k**3 - 5*k**2 + k - 9. Calculate p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 1:41 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/(-462) - (4 - 39\/9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3740335 is divided by 19790?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + 1 + -5.\nAnswer: -4 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.3, -0.3, -0.021?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17052869.22 to the nearest 1000.\nAnswer: 17053000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12476380 by -203.\nAnswer: 61460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -59 + -3 + 10.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 308141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, c: 3, w: 2, j: 3, p: 5}. Give prob of sequence fpf.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -11, 2, -243, -4, -109 in ascending order.\nAnswer: -243, -109, -11, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*z**2\/11 - 370916*z\/11 + 370614\/11 = 0. What is z?\nAnswer: 1, 185307\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1594333, 1594427, 1594523, 1594621, 1594721?\n\"Answer: o**2 + 91*o + 1594241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 11:33 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 71*u**2 - 443*u - 529. Give j(-64).\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = j - 6, -2*j + 5*p + 17 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 231687.3g?\nAnswer: 231.6873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/(a**(1\/15)\/a*a))\/((a*a*a**18)\/a**12) assuming a is positive.\nAnswer: a**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 24 = -0. Find the common denominator of (-1550)\/2280 - 4\/r*0 and -29\/2.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g = -880. Let n = -48 - g. Let a = n + -1. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58834 by 1754.\nAnswer: -29417\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -66. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 + 31. Let o be 2 - 19\/((-171)\/q). Is -0.2 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*y + 1056 + 388 - 132 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17285627 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 2:17 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -16. Let i(x) = x**2 - x + 14. Determine i(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*a**4 - 4616*a**3 - 3756*a**2 + 121*a.\nAnswer: -576*a - 27696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44095*o**5 - 2687*o**4 + o**3 + 6*o**2 - 4*o - 304614 wrt o?\nAnswer: -2645700*o**2 - 64488*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 5*z - 88022, z + 2*s = -3*z + 70426. Does 41 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30bb (base 12) to base 3\nAnswer: 21022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 133*m - 136*m. Is 9\/m - 3629\/(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13326 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -219?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3265 divided by 128\nAnswer: -3265\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4769561 or 2\/5?\nAnswer: 4769561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4355667?\nAnswer: 3, 353, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b - 36\/7*b**5 + 8*b**2 - 60\/7*b**4 + 4\/7 + 8\/7*b**3 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*v + 24, 5*n = -v - 8 - 4. Does 5 divide 40\/(-14)*(-28)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + w - 56700 = 0, 2*k + 2*w + 3*w = -37800. What is k rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -1. Suppose 24 = r - 5*r. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*z + 296*z - 144*z + 33*z + 498*z to y*z + r and give y.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -343.\nAnswer: 13\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(720) + (-2*sqrt(720)*-2 - sqrt(720)) - (4 + -2*sqrt(720))) - ((sqrt(720) + 1)*-4 - (6*-3*sqrt(720) + sqrt(720))))**2.\nAnswer: -11904*sqrt(5) + 692178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23102?\nAnswer: 2, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 6*i**2 + 1 + 2*i**3 + 0 - 2*i - 3*i. Let c be w(-5). Sort -2, c, 5 in descending order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133451388 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5696\/(-14240)*24\/((-4)\/(-2))?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. Let f be ((-5)\/10)\/(d*3\/(-96)). Let k be -1 - -3*f\/12. Let g(z) = -z**3 - 5*z**2 - z + 7. Determine g(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 9 = 3*l. What is the common denominator of 2 + -1 - (34\/14 - l) and 57\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -47*g + 149 + 183 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**2 + 4*a + 9. Let v(q) = 100*q**2 - 45*q - 100. Let l(c) = -4*v(c) - 45*z(c). Factor l(f).\nAnswer: 5*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 708731705 - 0.32\nAnswer: 708731704.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2, 21\/8, 1\/2?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*f - 165, 2*h + 4*f = 10 + 74. Calculate the remainder when 394 is divided by h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = -13*f - 1160. Suppose 146*m - f = 142*m. What is the remainder when m is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22153*q**3 + 22157*q**3 - 44305*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*y + 2*g = 199*y - 66, -2*y = -3*g - 33. Let n(h) = h**2 - h. What is the smallest common multiple of n(-5) and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59.34 and -65.93.\nAnswer: -3912.2862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11914084 by -4.\nAnswer: 2978521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + (6 - 3) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41800 and 36320567.\nAnswer: 36362367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 11) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from ddjddddcdwjjdjooddjw.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -181 + 185. What is the third derivative of -2*h**4 + 0*h**p + 9*h**5 + 23*h**2 - 946*h + 9*h**5 + 948*h wrt h?\nAnswer: 1080*h**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21521 is divided by 623.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 + 236.891. Let n = g - -0.009. Let v = 736\/7 - 105. What is the closest to 2 in -0.4, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 45. Let g = 38 + f. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3138142 is divided by 2710.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-10)\/100)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 11. Let h be i(-7). Find the third derivative of -5*o**2 + o**2 - h*o**3 + 0*o**3 - 2*o**3 wrt o.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -343 + 365. What is the remainder when 64 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 y, and 1 b when three letters picked without replacement from {t: 1, f: 4, x: 3, r: 3, b: 1, y: 5}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22212112110121 (base 3) to base 4\nAnswer: 101333010133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 23293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-28 - 9 - -11 - -4) - -81?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100917914 or 504589571\/5?\nAnswer: 100917914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-354)\/(-70) + 43335\/(-11235))\/(6\/50).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qocqoiqfoiqqqoci. What is prob of picking 1 c, 2 q, and 1 i?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 932 + -932. Let a = -3 + 12. Put a, 1, i in decreasing order.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtttvbg. Give prob of sequence gv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 159 + 6 = 4*s, 0 = -z - 3*s + 44. Suppose -31*y + z*y = -4. Solve 2*t - 2*l - 3*l = 10, y*t + 5*l - 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Let d(l) = 2*l**3 + 41*l**2 + 17*l + 2. Let x(h) = -h**3 - 21*h**2 - 8*h - 1. Let n(u) = 6*d(u) + 11*x(u). Let g be n(-14). Sort r, 2, g.\nAnswer: g, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 11:09 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8586966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = 2*b + 3*b - 470, -8*w + 3*b - 5*b = -8*w + 4 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9751622 rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-123)\/(-41)*(-2)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192 + 203 - 158 - 251)*(-3 - 4*j + 3).\nAnswer: 1592*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 9 = 4*x - 82, -3*p - 5*x + 88 = -10*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + 56\/(-12). Let g = t - -10. Suppose -90 = -0*f - g*f. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37108.0621 + -0.0676\nAnswer: -37108.1297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1311739?\nAnswer: 131173c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*m**3 - 4 + 26*m**2 - 26*m**3 - 28*m**2 as y + k*m + s*m**3 + f*m**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65180293 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2210, -4634, -7060, -9488, -11918, -14350?\nAnswer: -16784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(31\/248 - (-4 + 956\/(-32))).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 195159.\nAnswer: 390318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*a - 36. Suppose 0 = -w + 2*q, -q + 0 - a = 5*w. Is -2 + (3 - (w + -3)*11) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 27, -0.1, 4, 1\/8 in ascending order.\nAnswer: -4, -0.1, 1\/8, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 48*j**2 + 840*j + 10390. Give n(-32).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 81 = -2*j + 240, b = 2*j + 45. Let z = b - 23. Calculate the greatest common divisor of 224 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -300042?\nAnswer: -300066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058611623 to four decimal places.\nAnswer: 0.0586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-39)\/(-9) - 5)\/(1\/(-18)). Suppose 0 = -9*a + 5*a + q. Let m(i) = 7 + 2*i + 3*i - i**a + 5*i**2 - 7. Calculate m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 390096 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-20)*g*g)\/((g*g**(-3\/14))\/g))\/(g**(-10))**(2\/121) assuming g is positive.\nAnswer: g**(-26461\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492845303?\nAnswer: 673, 732311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 142. Let z = -38 + m. Suppose -z*t + 2*q = -347, 0 = -4*t - 2*q + 3*q + 471. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 189 = -103 + 174 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 177 = -29*l - 9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27195, -27196, -27197?\n\"Answer: -v - 27194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*i + 70, 9*y = 4*y - 2*i + 85. Calculate the greatest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 6\/11, -2\/105, -1\/4, -0.01, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427560425.\nAnswer: 3, 5, 1759, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19325339 is divided by 19306?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -7, -4, 0, -3 in descending order.\nAnswer: 36, 0, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 1a18?\nAnswer: 1a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2340081 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-5) - 108\/80. Which is the nearest to 0.05? (a) j (b) 1\/5 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 67, 90, 113, 136, 159?\n\"Answer: 23*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13134, 13158, 13196, 13254, 13338?\nAnswer: 13454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 0)\/16 + (-106157)\/(-664). Let c = t - 140. Calculate the least common multiple of c and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**6\/900 - s**5\/50 - 3*s**4\/20 + 5*s**3\/3 + 3. Let w(o) be the third derivative of f(o). Factor w(g).\nAnswer: -2*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897.811 milligrams in micrograms?\nAnswer: 897811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -788 divided by -4?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 163, -0.5, 0?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-43 + 46)\/((-1305)\/15)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -189, -212, -235, -258, -281, -304?\n\"Answer: -23*t - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3*o - 1)*(o**2 + o**2 - 2*o - 3*o**2).\nAnswer: 3*o**3 + 9*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n. Let v be l(-1). Suppose 2*b - v*b - 5 = -d, 3*d - 15 = -5*b. Is 143*((b - 0) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01697459956 to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 + 171*x**2 + 23976*x + 501552 = 0. Calculate x.\nAnswer: -36, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 0*i**2 - 44*i + 5\/3*i**3 - 19\/6*i**4 + 0. Find the second derivative of m(q) wrt q.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2644358621 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxaxxakaaaxaxaax. Give prob of sequence kxa.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 5, -36, -115, -244?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 99?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3955248 and 134838?\nAnswer: 11865744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203005, -203017, -203075, -203203, -203425, -203765?\nAnswer: -204247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6050)*-2 - sqrt(6050))*2 - (sqrt(6050) + 5*-1*sqrt(6050)))\/(4*-1*sqrt(1000)*-6)*3.\nAnswer: -11*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9202 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 - t**4\/4 + t**3\/2 + 7*t**2. Let v = 13 + -8. Let y be i(v). Which is bigger: -0.3 or y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 - 5006000*z + 35042196 = 0 for z.\nAnswer: -1251507, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10011110?\nAnswer: 10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let t(o) be the second derivative of o**4\/12 - o**3\/2 - o**2\/2 - 894*o. Suppose -3 = -4*a + 3*a, 3*a - 10 = u. Determine u*t(f) - p(f).\nAnswer: -f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 0.45. Let p = 0.3 - 7.5. Let v = p - -7. What is the second smallest value in 5, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1866 + -1798. Let r(c) = -13*c - 6. Let u be r(-5). Suppose -2*q - 62 = -4*s, 0 = -4*s - 0*s + 3*q + u. Calculate the greatest common factor of w and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8\/(-36) + (-7)\/(252\/(-9872))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/9 + 466*k**4\/9 + 8386*k**3\/9 + 55070*k**2\/9 + 51172*k\/3 + 17120 = 0. What is k?\nAnswer: -214, -8, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3002439809.\nAnswer: 661, 1741, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 5509.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w + 31. Let v(a) = -5*a + 16. Let r(y) = -4*j(y) + 7*v(y). Let c be r(-4). Let b = 1756\/3451 - 15\/29. Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvss when four letters picked without replacement from xsssxsesussxxvvev.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g + 10 = -485 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259303 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 38 = 5*z, -32 = 32*z - 49*o + 53*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**14\/p*p))\/p)\/(p\/((p*p**(12\/7)*p)\/p)))\/((p\/p**(-3\/2))\/(p\/p**(1\/23))))**(3\/11) assuming p is positive.\nAnswer: p**(-13359\/3542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212898 and 990921.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j. Let h(f) be the third derivative of -5*f**4\/12 + f**3\/2 - 5*f**2 - 5*f. Let s(b) = 9*b - 4. Let v(l) = 4*h(l) + 3*s(l). Give v(k(q)).\nAnswer: -52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -221*f**5\/20 - 49*f**4\/4 - 10*f - 7. Find the third derivative of z(q) wrt q.\nAnswer: -1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 6)*(-10*l + 8*l - 2 + 1)*(-1 + l - 1 + 0).\nAnswer: -22*l**2 + 33*l + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, f: 5}. Give prob of sequence gfgf.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, t: 2}. Give prob of sequence jt.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*d = 10, 3*d - 21 = -9. Let r be 2\/(-12) + t\/4. What is the nearest to -0.1 in r, -1, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 75911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -4. Let n be g*7*(-6)\/7. Solve -3*o - 1 = 2, 5*a - 5*o - n = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*k**2 - 394*k**2 - 8*k - 9*k + 17*k as l*k + w + s*k**2 and give s.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0 - 4) + 10)*1 + -2. Solve 3*y = 4*x + 7, o*x = x - 3*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 18*p - 217. Is g(-27) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 4*t - 1. Let a be u(-2). Find the first derivative of -5 - 13*l**4 + 4*l**a - 4*l**3 - 3 wrt l.\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 32 + 4. Suppose l - 2 = s - 2*k, 2*s - k = 17. Suppose 11*j - s*j = 145. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 712977969*t**3 - 2*t + 6*t - 712977970*t**3 + 3. Let g be (2\/(-3))\/((-2)\/(-6)). What is n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) 1\/77 (c) 2\/13 (d) -0.022\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1162629 by 4707.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**2 - 9*l - 25. Let c be j(-7). Solve b + 3 = -c*r, 2*b + 13 = -3*r + 7*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95251196 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3190224?\nAnswer: 2, 3, 66463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11620 and 2270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16669 - -16700.1. Which is the nearest to s? (a) 2 (b) -0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 18*g + 36*g = 7600. What is the remainder when g is divided by 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/1*(-213)\/(-6). Suppose -4*s - 2*z + b = 0, z - 49 = -s - 4*z. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2899 - -2899. Solve i = 5*h - j + 6 - 2, 4*h = -2*j + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -114*t + 504. Let r be c(4). Let v = -14 - -30. What is the highest common divisor of v and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2512388?\nAnswer: 1\/628097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432661 (base 8) in base 14?\nAnswer: -135bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/32 + 23\/(-28))\/((-2850)\/665)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*l - 5410 = -14987 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 - 5*f + 0*f**4 - 2 + 0*f**3 - 2*f**3 + 0*f**3 to the form p*f**4 + g*f + i*f**3 + n + z*f**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:20 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34123 (base 6) to base 13.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven fifths of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5985\/2 - -2993. Which is the fourth biggest value? (a) 0.2 (b) 5 (c) o (d) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2888 by 4.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -9550735?\nAnswer: 9550740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2363425?\nAnswer: 5, 17, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.04 equal to -95832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 2064.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 32. What is d(-18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 861 + 339. Calculate the lowest common multiple of z and 16.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 44 + -30 + -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 5. Let f(i) = 8*i + 14. Give 4*f(o) - 11*h(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 3*x**5 - 4*x**5 + (3*x - 4*x + 0*x)*(-2*x**4 - x**4 + 2*x**4) - 2*x**5 - 3*x**4 + 3*x**4 + 4*x**5 - x**5 + x**5 + 5*x**5 - 20*x**5 + 7*x**5.\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 270 + -230. Suppose -8*z - 5*s + n = -7*z, -2*z + 4*s = -80. Calculate the remainder when 478 is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 - (16652\/16 - 1). What is l rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120103 (base 5) to base 16\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 - l + 2. Let y(n) be the first derivative of 5*n**3\/3 + n**2\/2 - 3*n - 8. Calculate -3*d(s) - 2*y(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372787803 rounded to the nearest one million?\nAnswer: 1373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 11*k. Let i(p) be the third derivative of -p**5\/30 + 11*p**4\/24 + 1001*p**2. Give 3*h(x) - 2*i(x).\nAnswer: -2*x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-7 + 531)\/(-4))*(-210)\/29340 - 1?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, -2\/3, -1\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.249 + -7723.\nAnswer: -7723.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-18)*9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j - 42*j + 57*j = -693 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.843615us?\nAnswer: 0.004843615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-34)*j\/(j**38\/j)*j)**(-44) assuming j is positive.\nAnswer: j**2992","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -31?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158 + 21*i - 158 + (-2 - 3 + 3)*(41*i - 15*i + 70*i) to s*i + p and give s.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404 + -100?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6908*q**2 + 250*q + 250*q - 500*q to the form z + a*q + d*q**2 and give d.\nAnswer: 6908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Suppose 0 = -4*c - 3*m, -5*c - 4*m + 0*m - 1 = 0. Suppose 3*v - 9 = 6*v + c*t, -2*t = 10. Let l(n) = 12 + 2*n**v - 6 - 6. Determine j(l(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-19)\/(k\/k**(2\/29))*((k\/(k*k**(-1)))\/k)**(-5\/9) assuming k is positive.\nAnswer: k**(-578\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*w**6 - 135*w**4 - 174*w**3 - 163493876*w**2?\nAnswer: -3120*w**3 - 3240*w - 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 - 7 - -4 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 312282 and 0.4?\nAnswer: 312281.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/4 - m**3 - 3*m**2 + 6*m - 3. What is the units digit of k(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223\/7 + -5247\/119. Let x = 2917\/187 + w. Find the common denominator of x and 109\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1342 and -0.3.\nAnswer: 0.04026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/(-4)*(-10 - -2). What is the highest common factor of u and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 10. Let d(v) = -2*v + 3. Let o(j) = 13*j + 4*j - 16 - 7*j + 0*j. Calculate k*d(q) - 2*o(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 937097654?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and (-3)\/18 + (-24187)\/(-402).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 604 - 604.006975. Round w to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n. Let m(g) = 19*g. Let y = -936 + 1366. Let t = y - 428. Determine t*m(f) + 18*b(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 14*i**3\/3 - i - 9. Let k be r(1). Suppose 9 = 16*j - k*j. Sort -3, -5, j in descending order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*a + 24 = 0, y - 6 = -2*a - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:09 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = -12*f - 234. Suppose -9*w + 33 = -f. Let q = -3 - w. Which is bigger: -12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -360010*d**4 - 2*d**3 + 3*d**2 + 127019 wrt d?\nAnswer: -8640240*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -133928, -133902, -133876, -133850?\n\"Answer: 26*h - 133954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 5550*w - 1215000.\nAnswer: -5*(w + 300)*(w + 810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 151 = 3*z, -5*f + 401*z = 397*z - 143. Solve 4*u + 7 = b, 5*b + f = -5*u - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 0 - 46\/23. Let f(q) = -3*q**3 + 11*q**2. Let r(k) = -k**3 + 4*k**2. Give y*f(l) + 11*r(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-1089))\/((124\/(-6))\/31)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 24 = -2*d, -2*y = -d + y - 21. Let m be d\/10*12\/48. Which is the third smallest value? (a) m (b) -1\/6 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 775.\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 744361266+-0.4\nAnswer: 744361265.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 30. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 1316.\nAnswer: 14476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1869684, 1869670, 1869650, 1869624, 1869592, 1869554, 1869510?\nAnswer: 1869460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/(-15)*(-25)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 23461.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-4)*(-2 - 1). Calculate the remainder when 0 - (q + -1) - -13 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 3*c**2 - c - 3. What is the tens digit of v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74441, -148941, -223441, -297941, -372441?\nAnswer: -446941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, f: 1, z: 1, e: 4, q: 4}. What is prob of picking 2 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 + 112*o + 318 = 0.\nAnswer: -53, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*q**4 + 2*q**4 - 20*q**4 + (-3 - 2 + 3)*(-3*q**2 + 3*q**2 + q**4) + 1 - 1 + q**4.\nAnswer: -33*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 4*o + z - 1, -o - 3 = -3*z. Let s(a) = 59 - a + 23*a**3 - 24*a**3 - 3*a**2 + 2*a**2. What are the prime factors of s(o)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -239348, -479295, -719832, -960959?\n\"Answer: -295*s**2 - 239062*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31864 and 120628.\nAnswer: 1688792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/8 - k**4\/8 - 3*k**3\/4 - k**2\/4 + 5*k\/8 + 3\/8 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 15. Calculate n(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 3. Let l(j) = -3*j**2 - 4. Let u(n) = 4*i(n) - 3*l(n). Let k(d) be the first derivative of 0*d - 2\/3*d**3 + 0*d**2 + 3. What is u(k(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 2 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 301756 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-41 - -28 - -16)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 27. Let v(s) be the third derivative of 5*s**4\/24 - s**3\/3 - s**2. Let c(i) = -9*i + 4. Give r*v(o) - 3*c(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35508674*i**2 + 35508674*i**2 + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22149, 88746, 199795, 355296?\n\"Answer: 22226*l**2 - 81*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.3 - -47.3. What is the closest to 0.5 in i, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 12040494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*i - o, 0*o + 4*o = -12. Let n be (0\/i)\/(1 + -2). Suppose 3*s - 3*a = 204, n = 5*s - a - 157 - 171. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 1473*j**2 + 8833*j + 175. Determine a(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 8*n - 4. Let p(l) = -4*l**2 + 37*l + 63. Let i(f) = 2*f**2 - 19*f - 35. Let u(v) = 7*i(v) + 4*p(v). Calculate -7*k(q) - 4*u(q).\nAnswer: q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5058466 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2*w**4)**(3\/2))**(-1\/38) assuming w is positive.\nAnswer: w**(-21\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 15*p**2 - 32*p + 24. Let m be d(-17). Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1144)\/78)\/(4*10\/60)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -18. Calculate the smallest common multiple of (6\/(-3)*5)\/(-2) and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 48 = 72. Suppose -d = -4*o - 2*y, 4*o = -0*o + y + 12. Solve -3*k - 3*t + 8*t = 1, -t + 7 = -o*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/5, 0.9, -3?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000 - 0?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3 + 524*j**2 - j + 50910?\nAnswer: -6*j**2 + 1048*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:23 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. List the prime factors of (2 - 0) + 63\/t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guuuuiguuu. What is prob of sequence uu?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 9*j**4 + 66*j**3 + 105*j**2 - 12*j - 60 = 0.\nAnswer: -5, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*k - 3 + 1 + 2 + k**2 to x*k**2 + q*k + p and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**7\/70 + 5*v**3\/6 - 5*v**2\/2 - 20*v. Let m(g) be the first derivative of s(g). Differentiate m(d) with respect to d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {l: 4, r: 2, d: 6}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1018095 and 14820?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b*t**2*u**2 - 17*b*t*u - b*u**3 + 2*t**2*u**3 + t**2*u**2 - 8*t*u**3 wrt t?\nAnswer: -16*b*u**2 + 4*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22863595 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s + 0*s - 3*s)*(-1 - 2 + 21) + 0*s + s - 3*s to p*s + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 11:59 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -876?\nAnswer: -1\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaoioiaiaiiioobiib. What is prob of sequence aba?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = -9*l - 4160. Let m = -165 - l. Which is the nearest to -1? (a) -7 (b) -2\/5 (c) m (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose 15 + 25 = f*n. Is (-378)\/(-30) - (-4)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410*z = -403*z + 7. Put -4, -2, z, -6, -10 in descending order.\nAnswer: z, -2, -4, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/7)\/(-2 - -3). Let a be 3\/(6\/4) - (-8 + 6). Let y = a + o. Is y at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302926887 a multiple of 1087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 - 4*j**5 + 2*j**5 + (0 + 3 - j - j)*(0*j**4 - j**4 + 0*j**4).\nAnswer: 3*j**5 - 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65138834.\nAnswer: 2, 3539, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8200669388 to three dps.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((52416\/6435)\/(-224))\/((-30)\/4*12\/66)\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -3) + -2 - 6 - (-15 - 6 - -101)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from iiieemimieiemem.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 33346*p**3 + p**2 - 5*p + 3. What are the prime factors of b(1)?\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 4)*146\/(-204). Let y = q + 30\/17. Factor 0*f - 5\/3*f**3 + 0 - y*f**2 - 4\/3*f**4.\nAnswer: -f**2*(f + 1)*(4*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**3\/3 + 1. Let s(g) be the first derivative of -101 + 0*g + 1\/2*g**2. Determine l(s(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -548*j**4 + 2*j**3*m - 1774*m wrt j?\nAnswer: -2192*j**3 + 6*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, 1 z, and 1 y when four letters picked without replacement from ccexjzyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 2158*y\/3 - 15400.\nAnswer: 2*(y - 1100)*(y + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22643 + 36659. What is the highest common factor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 34*m. Let s be x(1). Let b = s + 118. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/900 + j**5\/150 + j**4\/60 - 2*j**3\/3 - 2*j**2. Let b(l) be the first derivative of i(l). Factor b(y).\nAnswer: 2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303209.0866 rounded to the nearest ten?\nAnswer: 303210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/7))**(1\/54) assuming j is positive.\nAnswer: j**(2\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 8410000 to the nearest 100000.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -3*t**2 - 1\/18*t**4 + 1\/90*t**5 + 0*t + 0 + 1\/9*t**3. Factor u(l).\nAnswer: 2*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - x)*(x + 1 - 1)*(3*x - 11*x - 12*x).\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(i**2 + 3*i**2 - i**2).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*h**2*v**3 - 116*h**2 - 57*v**4 + 6*v**2 wrt v?\nAnswer: 336*h**2 - 1368*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2672.261ml to litres.\nAnswer: 2.672261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*u + 2585, -1033 = -2*u + 13*l - 16*l. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = -5. Suppose y*d - 3 = 2. Let u(p) = 2*p + 3 + 0*p - p**2 - 4. What is u(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 4\/3*f**3 + 25*f - 10*f**2 + 108. Factor z(a).\nAnswer: (2*a - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*l + 524*l + 2 - 1631*l + 601*l.\nAnswer: 57*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 355 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*p**3 - 987*p**2 + 291*p - 21 = 0. Calculate p.\nAnswer: -7, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3794 = -6*d. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 - 104. Suppose -5*v + 25 = -2*m, -5*v + 5 = m - h. Put m, -2, 4, 0 in increasing order.\nAnswer: m, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + d)*(5*d + 2*d + 2*d)*(775 + 891 + 11603 + 1771 + 2926) as s*d + g + v*d**2 and give v.\nAnswer: 161694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 98765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 100.3842nm?\nAnswer: 0.0000001003842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595 = -2*k - 637. Calculate the least common multiple of (-4)\/(-18) - k\/63 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100776 divided by 25194\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1153 = -246*q - 213*q + 168*q + 9905 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -225 + 227. Solve -2*m - 10 = -3*t, q - 6 = -t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, 0.5, -4\/3, -0.7, -920, 5, 0?\nAnswer: -920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 730914 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-6)*o**4)**2)**(-2\/7))**(7\/3) assuming o is positive.\nAnswer: o**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436122435.\nAnswer: 5, 11, 79, 107, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*p - 10. Suppose 5*o - 40 = 5*j, -2*o - o - 5*j = 0. Calculate the smallest common multiple of p and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4913336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6068978643 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {d: 4, x: 5, k: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-3) + ((-16528)\/(-12) - -10)?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 78*h**2 - 416*h + 295. Calculate l(-72).\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12) + 165\/(-12). Let i = w - -4. Let t = 33 + i. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 3*k - 6. Suppose -5 = -k*q + q. Suppose q*y - 4 - 21 = 0. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7267 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016639311 to six decimal places.\nAnswer: 0.001664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2345 by 300.\nAnswer: -469\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14587 = 3*u - 2*b - 14547, 0 = -3*u - 3*b - 30 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) -0.26 (c) -4\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -227*g**2 - 715*g - 16. Give v(-3).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -61, -157, -303, -505, -769, -1101?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -25, 3, 2, -1 in descending order.\nAnswer: 5, 3, 2, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1803, 1789, 1759, 1707, 1627, 1513, 1359?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/9 - 592160*k**3\/9 + 43832275354*k**2\/9 - 87662182084*k\/9.\nAnswer: 2*k*(k - 148039)**2*(k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3268*h + 4. Let t(g) = 3264*g + 5. Give -8*i(c) + 6*t(c).\nAnswer: -6560*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + i = 367, 70 + 218 = 3*c + 5*i. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 209 = -9. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 11*i**5\/30 - i**2 + 9. Let d(l) = 7*l. What is d(t(m))?\nAnswer: 154*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50870 divided by 50870.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -502 - -570. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 + 31*a**2 + 11*a + 17. Is o(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1\/(-7)*(121\/11)\/33?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by -210\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 2\/3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749029?\nAnswer: 1749029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 4. Let k be r(-6). Suppose -40 = -4*q - 3*y, -k*y = -7*y. Calculate the remainder when 58 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 71. Suppose 16 = t*i + 4. Suppose i*b + 840 = 12*b. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 - 24\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 72\/264331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/5 - 242*u**4\/5 - 2704*u**3\/5 + 2272*u**2 + 13824*u\/5 = 0. Calculate u.\nAnswer: -108, -16, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.8 in 0.234, 2\/5, 334?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 110100110000?\nAnswer: 110100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 4, k: 4}. Give prob of sequence ekke.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24\/10*17190\/764*(-18)\/12\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)**5\/(j**4)**(-41))**(-1\/11) assuming j is positive.\nAnswer: j**(-174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 220*c - 829. Determine z(8).\nAnswer: 1059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - o - o + 2*o**2 + 3. Let n be l(3). Solve 0 = 3*k - n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -856*y - 709. What are the prime factors of v(-36)?\nAnswer: 7, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549054 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + t + 3*t)*(-t**3 - 5*t**3 + 5*t**3) - 14185*t**2 - 283*t**4 + 14185*t**2 + 0*t + 3*t - t - t**4.\nAnswer: -283*t**4 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + 2)\/(-3) + -4. Let d = i + -31. Let l = 41 + d. Solve -2*q - l*q = 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 336 + -259. Calculate the remainder when 305 is divided by b.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-3)*-163*9\/(-6) is divided by (-1150)\/(-14) + (-46)\/322.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from pppkpkpkppkkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 183*w**2 + 468*w - 98. Give m(-94).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 24 + 3. Let s(t) = 6*t + 9. Let o(k) = -7*k - 12. Let j(b) = -5*o(b) - 6*s(b). Calculate j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7229*z**3 + 24 + 37*z**2 + 29*z**2 + 104*z + 7215*z**3 = 0. What is z?\nAnswer: -1, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.4 minus -193.40709988?\nAnswer: 180.00709988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-25)*(-15)\/(-6)*130\/728?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -6, 17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*3\/(-39)*-3.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 170, 172, 180, 200, 238?\n\"Answer: i**3 - 3*i**2 + 4*i + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 6*j. Let l(x) = x**2 - 6*x. Let v(p) = 6*i(p) - 7*l(p). Let s be v(5). Solve 0 = 3*b + c + 8, 2*c + s - 4 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 16*x + 40. Let j be c(5). Let v be (18\/j)\/(228\/80). Do v and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f + 6*f - 5*f. Calculate j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/11 - 12*z**3\/11 - 174*z**2\/11 + 160*z\/11 + 2400\/11 = 0.\nAnswer: -5, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*((0 + sqrt(176)\/sqrt(4) + -4)*-1)**2*-6.\nAnswer: -2160 + 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h. Let v be 114\/10 + (-4)\/10. Let c(a) = -6*a**2. Let r(w) = -4*w**2 + w**2 + w**2 - 15*w**2. Let q(b) = v*c(b) - 4*r(b). What is f(q(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 47406.\nAnswer: -2\/23703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*o. Suppose -213 = -5*g + o*l, -l + 93 = -0*g + 2*g. Suppose k - 6*k = -g. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.72852 millimeters in meters?\nAnswer: 0.00172852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(1\/2). Let v(d) = 2*d - 1. Let x(l) = -1. Let o(k) = k + 4. Let s(h) = o(h) + 4*x(h). Determine q*v(n) + 4*s(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4291040 and 13780?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/3 - o. Let h(r) = 7*r. Let a(i) = 20*i. Let f(g) = 6*a(g) - 17*h(g). Give p(f(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-15)\/2) + (-1800)\/54 + 38. Solve 5*d = 2*y - 27, 3*y - 55 = x*d - 32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/520630 and -125\/12.\nAnswer: 3123780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 539*u - 1171. What is b(-133)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/9 + (-10920)\/189. Is (u\/(-4))\/(1\/26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8675, -8663, -8649, -8633, -8615, -8595?\nAnswer: -8573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345961719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 1475*z + 49 + 50 + 45 + 45 - 236.\nAnswer: 1475*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 - 8*i - 8. What is w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -60 + 3*q - 29 + 86. Let n(w) = -w + 2. Determine 3*h(p) + 5*n(p).\nAnswer: 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * 9181.\nAnswer: -21116.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlcrlrrjvc. What is prob of picking 1 l, 1 r, and 1 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1777 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.5, 9.6, 0.1, 8.7, 8, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*v + 766, 5*h - 4*v - 550 - 1383 = 0. Suppose -13*k = -8*k - h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsb when three letters picked without replacement from ggbsggssssggsssggb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 9*i**3 + 2*i**4 - 6*i + 7*i - i**3 + 9*i - i**2 as z*i**3 + g*i**2 + j*i**4 + b*i + x and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.18 - -11.12. Let r = -11.3 + u. Let v be (1\/(-2))\/(2\/12). Which is the second biggest value? (a) v (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 118\nAnswer: -14.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.066 + 0.066. Which is the third smallest value? (a) -4 (b) -8 (c) h (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101011011111111001110 - 11?\nAnswer: 10010101011011111111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in -21, -1\/3, 3\/2, -3, 2.673?\nAnswer: 2.673","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25417.\nAnswer: 7, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = -7. Find the second derivative of -m - 2*m + 2*m - 3*m**p - 2*m wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3073 less than 1544798113?\nAnswer: 1544798112.6927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.367 times -343?\nAnswer: -125.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(1\/2)\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(12\/14) + -3. What is the third biggest value in 1, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580*k - 253*k - 258*k.\nAnswer: 69*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*o - 262 - 11, -5*w + o + 674 = 0. Calculate the lowest common multiple of 21 and w.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 457013 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*((4 - 6) + -27). Let h(x) = 8*x - b*x + 13*x - 3. Let q be h(-1). Which is bigger: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 11*x + 3. Let h be p(-11). Suppose 129 = -0*s - h*s. Let l = 77 + s. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1011.\nAnswer: 7077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 9*l. Let k = 3 + 12. Is d(k) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 2) + (13 - -1 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/10 - 145*g**4\/2 + 641*g**3\/6 + g**2\/2 + 1573*g. What is the second derivative of i(u) wrt u?\nAnswer: -12*u - 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-1)\/(-21)*307685\/2235.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 195571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 55 = 40*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -433.9311 * 0.1\nAnswer: -43.39311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-3 + sqrt(300) + -4)*-2 + 0))**2 + -1 + -1.\nAnswer: -5040*sqrt(3) + 12562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:33 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.12 + 4. Let k = -0.02 - b. Sort k, 5, -1\/3.\nAnswer: -1\/3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 2*j**3 + 4 - 1 + 0*j - 2*j**3 + 2*j**2 as h*j + v + x*j**2 + w*j**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a - 106*a + 416*a - 3252 = -309*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2273583 divided by -1261\nAnswer: -1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23698 or 23690?\nAnswer: 23690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 2*p + 7. Let i be (-1)\/(-3*3\/(-36)). What is the remainder when v(i) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6811 + 6811.006589. Round p to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1620.72 + 0.854.\nAnswer: 1621.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 36*n + 14. Give c(-9).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 213 + 57 = 0. Let c = -64 - -91. What is the highest common factor of m and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2 + 12*b + 5 - 2*b - 6. Let t(p) = 130*p - 40. Let l(c) = -40*r(c) + 3*t(c). Let q(y) = -2*y**2. What is l(q(x))?\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -94 + 0 + 59 + -44 + -9 + -18\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 5*r - 1871. Let s be z(0). Let o = 3848 + s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46893813 is divided by 685?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlazzv. Give prob of sequence vva.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**35)\/v)\/(v**(9\/8)\/v))**(-37))**(2\/25) assuming v is positive.\nAnswer: v**(10397\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 8. Let q be ((-70)\/n)\/(2\/4). Find the second derivative of -v**5 - 35*v**3 + q*v**3 - 4*v wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0*x**3 + 0*x**5 + 0 + 0*x**2 - 2\/15*x**6 - 1\/3*x**4 + 5*x. What is the third derivative of v(l) wrt l?\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yflflfllfllyfl. Give prob of picking 1 y and 2 l.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a0e0 (base 16) in base 2?\nAnswer: -101010000011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23cb8 - -92c?\nAnswer: -23389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 2*g**2 + 3*g**4 + (-2*g**2 + 2*g - 2*g)*(0*g**2 + 3*g**2 - 4*g**2) + 1 + g**4 - 1 to w*g**4 + j + i*g + t*g**2 + r*g**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -323344 (base 6) to base 4\nAnswer: -12201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*y + 8, 0*c + 32 = c + 3*y. Let l = c - 16. Solve 1 = -4*t - l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 5*c - 2. Let v(x) = x + x**2 + 0 + 0 - 1. Suppose 7*i = 3*i - 4. Let z(d) = i*y(d) + 2*v(d). Find the second derivative of z(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39998 - 0.047.\nAnswer: -39998.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -5, -40, -2 in descending order.\nAnswer: 1, 0, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 238 = 2*i, -5*i = -2*i - 3*b - 339. Calculate the highest common factor of 46 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284971, 284958, 284937, 284908?\nAnswer: 284871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 40. Let j be b(17). What is the tens digit of (6\/(-6) + j)\/(1\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -218 and 7?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14763 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29197207267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 40 = 5*d, -12*p - 4*d - 25 = -41 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4683 from 17.\nAnswer: -4666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**3 - 5. Let g(j) = -4*j. Let f be g(-4). Let n(z) = -2*z - 16 + f. Give x(n(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 17784*s**2 - 207*s**3 - 363856*s + 127040*s + 219488 - 253*s**3.\nAnswer: 4*(s - 38)**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/sqrt(6))\/sqrt(10) + sqrt(18)\/(sqrt(9)*4) + -2)*-2)**2*-6.\nAnswer: -171 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - x + 22, z + 3*z = -5*x - 44. Let j(k) = -k**3 - 9*k**2 + 15*k + 3. What is the tens digit of j(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.16 - -50.16. Let g = 48.8 - f. Which is the closest to g? (a) -0.2 (b) 0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = -996 + 4792. Suppose -3*x = -5*t + s, -6*x = -3*t - 2*x + 184. Which is greater: t or 111\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**8\/672 - q**7\/420 + q**6\/120 + q**5\/60 - q**4\/48 - q**3\/12 + 8*q**2. Let m(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235 + 263. Let m = 31 - h. Solve 3 = 3*t - m*j - 0, -4*j = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*sqrt(1573) + sqrt(1573) - sqrt(1573)))**2*-1 + -4 - (1 + sqrt(1573) + 0 + (1 + sqrt(1573) + -1*sqrt(1573) + sqrt(1573))**2).\nAnswer: -7880 - 165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 5*a**2 - 5*a - 8. What is b(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4\/7 - 360*s**3\/7 - 15261*s**2\/7 - 68490*s\/7 - 7656 = 0 for s.\nAnswer: -29, -4, -1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 652172 and 9685448.\nAnswer: 455216056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 28786. Let i(x) = x. Give i(h(p)).\nAnswer: p + 28786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.65 - -14.05. What is the second smallest value in -1\/2, 290, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 15*a + 34*a - 19*a - 5*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8887*i**3 - 23768*i wrt i.\nAnswer: -53322*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w + 19. Let o be r(15). Does 18 divide -2*((8 - 4)\/(-1) + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39082650?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 110499 = -578651. List the prime factors of q.\nAnswer: 2, 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1687034*q**2 - 15863*q - 8 wrt q.\nAnswer: 3374068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 14*r**2 - 26*r + 48. Let i be h(16). Let k be 4\/(4 - i\/40). Solve -4*y + 6 = k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Suppose -q + 9 = -4*q + 5*p, 0 = -3*p. Let a = b - q. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 93, 142, 191?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*y + 612*y = -165*y - 2544 - 29152 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - b?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -353995303?\nAnswer: 353995301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/280 - r**6\/360 - r**3\/3 + r**2. Let p(l) be the first derivative of m(l). Find the third derivative of p(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 13*t - 6. Determine q(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-4 - (3546 + -3)). Suppose y - 216 = n. Suppose -19*q = -14*q - y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + 0 + 3 + (-393)\/24 and 17\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5596 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 7*u - 4. Let s be f(4). Let i be (s\/12)\/((-4)\/(-6)). Suppose i - 9 = -4*x. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/11 + 208*m**2\/11 + 1382*m\/11 + 2328\/11 = 0. What is m?\nAnswer: -97, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 - 6*g**2 + 2*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 7*i**2 + 3*i + 5. Give y(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2394*g + 21380. Determine x(-10).\nAnswer: -2560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 6*v - 28 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361382006.\nAnswer: 2, 1783, 101341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 2 = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2906108 - -2?\nAnswer: 2906110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*r - 2)*(22 - 5 - 8)*(12*r + 20*r - 6*r).\nAnswer: 702*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -33, -43, -55, -69, -85, -103?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**3\/6 + 9*i**2 - 2*i + 1. Let m(w) be the first derivative of r(w). Suppose -35*n + 93 + 180 + 112 = 0. Determine m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -17115862?\nAnswer: -17115862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2544 and 78136098.\nAnswer: 625088784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*m - 13 = -0*h, 4*m = -4*h + 28. Let w(v) = v - 5. Let j be w(6). Solve -b - h = j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132 - -5) + (77 - 22)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d. Let t = -517\/7 + 74. Which is the nearest to d? (a) 3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00585346 rounded to 4 decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259644836 to the nearest integer?\nAnswer: 16113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -5*n + 17, -3*n = 2*q - 5. Differentiate -l + 415 + l - 8*l**n - 403 with respect to l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + 24 + 17 + -69 - (10 + -1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (-5 - -3))\/(-2). Suppose q + 2*q = -3*p, -3*p + 2*q = f. Solve 0 = 4*o - p*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - -1 - 6\/(-6). Suppose -k*f + 6 = -2. Suppose 0 = -f*j + 7*j - 10. Solve 2*u - j*r = 2*r + 4, -4*u - 2*r = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u + 4*p, 3 = 3*u - 4*u - 2*p. Let x(l) = -3*l - 3*l - 2 + u. What is the remainder when x(-10) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373 - 354. Calculate the remainder when (1*-54)\/((-6)\/4) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 2*k. Let u = -11 - -13. Let q(g) = 36*g**u + 5*g - 81*g**2 + 40*g**2. Give -2*q(h) - 5*t(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15518, 15519, 15520, 15521?\n\"Answer: u + 15517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 433020*r**4 + 4764055*r**3 - 19921170*r**2 - 24252200*r = 0 for r.\nAnswer: -14, -1, 0, 4, 86615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 30 = c, 25*d - 155 = -3*c + 26*d. Let p be (-8)\/(-3) + c\/150. Solve 2*h + p*g - 5 = 0, -13 = -2*h - 5*g + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j + 124. What is r(-19)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.855 less than -2?\nAnswer: 67.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -57.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*k = -96, k - 99 = -4*v + 2*k. Suppose 2*u = -5*l - u + 583, -2*u = l - 111. What is the remainder when v is divided by l\/9 - 4\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(2 - 2 + 4*p) + 3 - 3 - 3*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/31971676 and 23\/20345612?\nAnswer: 223801732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084716711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 3)*(714 - 714 - 8*z) to the form b + a*z and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8789 - -24321. What is k rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 1, w: 1}. What is prob of sequence qw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1620 by -810.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -7 - (-12 + (21 - 7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19047 is divided by 120?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 = u, -4*x - u = 3*u - 12. Let n(c) = -4*c - 5. Let w(q) = 8*q + 11. Let p(y) = -5*n(y) - 2*w(y). What is p(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4 - 4 - 24*p + 15*p. Does 17 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r*r*r\/((r**(6\/5)\/r)\/r*r)*r*r)\/r)*r*r\/(r**(-4\/3)\/r*r))\/(r*r**(1\/3)\/r*r*r**(-2)))\/(r**(-2\/23)*r**(-8)\/r)**(1\/5) assuming r is positive.\nAnswer: r**(232\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011 (base 2) in base 12?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -50010600 rounded to the nearest one hundred thousand?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 3*y**2 - 2*y**2. Let t be (-2)\/9 - (-20)\/9. Let l(r) = 2*r**t + 1077*r - 1077*r. What is l(n(j))?\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117\/4 + 175\/4. Let i = 24 + -523\/22. What is the common denominator of m and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865284.9 litres in millilitres?\nAnswer: 865284900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14278975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1, -5559, 8 in decreasing order.\nAnswer: 8, 4, 0, -1, -5559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208 (base 10) to base 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*u + 4*q - 13852 = 126*u, -u + 3*q + 3435 = 0. What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 35*z**2. Let c(t) = 13*t**2. Determine c(y(s)).\nAnswer: 15925*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254719679 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -3697 in ascending order.\nAnswer: -3697, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 - -82. Suppose 19*w = 18*w + p. Calculate the greatest common factor of 25 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 3*v - 4*v + 5*v. Let m(u) = -13*u. Calculate m(g(f)).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-2))\/(10 - 1). Let s = -1\/9 - -4\/9. Which is the second smallest value? (a) n (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0*g**4 + 77\/120*g**6 - 19\/12*g**5 + 13*g**2 + 3*g + 0 + 0*g**3. What is the third derivative of w(p) wrt p?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - (-35 + 21 - -46).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sscsszzicy. What is prob of sequence iczc?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + sqrt(128) + 1 + sqrt(128) + sqrt(128) + sqrt(128) + -1 + sqrt(128) + sqrt(128))**2 + 3.\nAnswer: 6275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447.3134 grams to tonnes.\nAnswer: 0.0004473134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.247 + 0.347. Which is smaller: g or 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/3, 3, -2, 805, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -334 (b) -2\/1053 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 354*y + 20. Give p(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/65 and -33\/884.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.614 - 0.004. Let d = q - 0.647. What is d rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30)*3*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 13f?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/90 + 429\/(-54))\/(1*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4569137 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 8954.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 108. Let a = f - 31. Let y = a - -0.5. What is the closest to 2 in y, -0.2, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226444 is divided by 145?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2)*(-35)\/(-14). Solve 0 = -h - 0*h - q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**2 + 10431*a + 15633.\nAnswer: 3*(a + 1737)*(2*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955155?\nAnswer: 5, 391031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 5*i. Let w be u(6). Let l be 32\/8 + -1*2. What is the third derivative of z**w - z**2 - z**l + z**6 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6810\/13 or 525?\nAnswer: 6810\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**3 + u**3 - 14*u**3 + (3*u - 7*u - 7*u)*(-1 - 2*u**2 + 1)*(-7 + 1 - 2).\nAnswer: -196*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -44 + (-1 - -20)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3062243 (base 7) to base 12.\nAnswer: -159088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 12*p**2.\nAnswer: 4*p**2*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6*b + 7. Put -4, b, 0 in decreasing order.\nAnswer: 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3458236\/941 or 3675?\nAnswer: 3675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetilmee. What is prob of picking 1 l and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.5, -2\/9, -275\/2, -18\/29?\nAnswer: -275\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 5:29 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 8*c**2 + 8*c + 10. Let u(o) = o + 15. Let k be u(-13). Let i be (k\/6)\/(10\/(-210)). List the prime factors of q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2309293227 divided by 3\nAnswer: -769764409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4018251278 and 5.01?\nAnswer: 4018251283.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -52728 divided by -2?\nAnswer: 26364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-9) + (-4)\/(-12)*-6. Let o = -3 - -2. Let q = 0.07487 - 0.37487. What is the nearest to o in q, 3, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/200 - (-5)\/(-52)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 5*s**2 + 160*s - 266. Is h(58) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 2. Calculate v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1488, 1491, 1494?\n\"Answer: 3*k + 1485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*v + 18*v + 14. Suppose -5*u = -v*u + 14. Suppose 5*c + 27 - u = 0. Put -2, c, -3 in ascending order.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f - 2. Let p(r) = 7550*r - 2416. Give -p(k) + 1208*s(k).\nAnswer: -302*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -w - 2*w. Is (4 - -6)*(-22)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 700*q**3 + 2833*q**2 + 2932*q + 132.\nAnswer: (q + 2)**2*(700*q + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 8. Let m be 1\/x*(-11 + 9). Solve -m = 2*q - 7, 5*q = 4*p + 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*y**3 + 3*y**2 - 945*y + 947*y - 2*y**2 to r*y**3 + l*y**2 + f + q*y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02492 + 16.69?\nAnswer: 16.66508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 20 = 54 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v + 3. Let u(n) = -n. Let z(q) = i(q) + 4*u(q). Let a be ((5984\/(-96))\/(-17))\/((-1)\/(-3)). Is z(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2494899 by -3509.\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3032 + -130?\nAnswer: -3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + 1*sqrt(572)\/(3*sqrt(11)).\nAnswer: 2*sqrt(13)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 17, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.3876 micrograms in milligrams?\nAnswer: 0.4703876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11)*u)\/u**(2\/9)*u\/(u*u**(1\/7))*u\/(u\/u**(6\/7)) assuming u is positive.\nAnswer: u**(-599\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)*156\/104. Which is the third biggest value? (a) 0.5 (b) o (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 4, u: 2, y: 4}. Give prob of picking 3 y and 1 l.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.87 + 25. Let t = -0.06 + z. Let h be 1694\/(-847) - (-22)\/12. Which is the second smallest value? (a) -3 (b) -2\/7 (c) h (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 744*305\nAnswer: 226920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r + 32*r - 2265 + 2391 + 26*r to the form y + j*r and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*g, 5*z + 8*g - 184 = 5*g. Suppose 0 = -5*i - 5*w + 95, 0*i = 2*i + w - z. Suppose -35 - i = -y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 190.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**27\/(z**(-10))**(2\/29) assuming z is positive.\nAnswer: z**(823\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 - 2*x**2 + 367 + 0*x**2 - x**2 to the form o + r*x**2 + w*x and give o.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 26.2. Let h = -1 + t. Let x = h + 26.999994. Round x to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((10404 - 5)\/(-1))\/((-105)\/(-21)). Let v be (-842)\/6*(4 - -11). Let z = v - o. Is z bigger than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*u + 35 = 0, 2*z - 6*u + 3*u + 6 = 0. Solve 4 = q + z*m, 0 = 5*q - 3*m + 2*m + 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(2 - 2 - 2*y)*(y + 6*y - 9*y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 11 + 4 - 13 - 3*k + 3*k - 2*k**2 + (-k + 0*k - k)*(-3*k + 2*k + 3*k) + 3*k - 3*k + 2*k**2.\nAnswer: -k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-630)\/36)*40?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*10\/(12\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 32340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 983923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252171.8kg to tonnes.\nAnswer: 252.1718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 156\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 150*r + 1159. Give s(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-568)\/18*(-3)\/(-8) and 149\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 576300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 1054788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -124313640?\nAnswer: 124313624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97883.61 millilitres in litres?\nAnswer: 97.88361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpettektpeexxkkeppt. Give prob of picking 1 k and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-d + 2*d - 2*d) + 1 + d - 1 + (-1 + 0 - 1)*(-2*d + 3*d + d) - 5*d + d + 2*d + (-1 + 2 + 0)*(-3 + 2*d + 3).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35100138169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:00 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79343317 and 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2, -2\/777, -3, -0.07.\nAnswer: -3, -2, -0.07, -2\/777, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 108240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-22\/3)\/(k*k**(-44)*k)*k*k*k**(11\/8)*k*k*k*k**(-35) assuming k is positive.\nAnswer: k**(145\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110111101 (base 2) to base 14.\nAnswer: 13d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 + 1553*z**4\/12 + 2411809*z**3\/6 + 26*z**2 - z + 1. What is n in s(n) = 0?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1546, 1545, 1544, 1543, 1542, 1541?\n\"Answer: -n + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24924 - 49757 + 24828 - 69*g.\nAnswer: -69*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -6*h - 7*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17763, -18416, -19503, -21024, -22979, -25368?\nAnswer: -28191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**10*y))**39*((y*y*y*y**1\/y)\/y*y)\/(y**18\/y) assuming y is positive.\nAnswer: y**(-443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2973371795 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111523, 446135, 1003821, 1784581, 2788415, 4015323, 5465305?\nAnswer: 7138361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {c: 5, h: 2, q: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from rrecvfcs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*i**3 - i**2 - 2*i + 277*i**3 - 136*i**3 to r*i + s*i**2 + f*i**3 + a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41922.665 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 54*s + 21120. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 139*k**3 + 3*k**2 - 14*k + 11. Let w be x(1). Which is greater: 141 or w?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*0.037.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 26*f**3 - 2*f**2 - 8. Let a(w) = -w**3 - w**2. Determine 2*a(l) - q(l).\nAnswer: -28*l**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.27 + 0.3. Let k = 639 - 638.9812. Let o = k + -0.1188. Sort r, -3, 3, o in ascending order.\nAnswer: -3, o, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2. Let k(z) = -7*z**2 - 35*z. Let v(o) = -o. Let x(r) = 2*k(r) - 70*v(r). Give p(x(c)).\nAnswer: -784*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 195.3 - 195. Put -1\/3, -0.09, 0.1, l in increasing order.\nAnswer: -1\/3, -0.09, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236760483*c**2 - 2*c - 440920225?\nAnswer: -473520966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 8*q + 8. Let k be v(-7). Factor -k - j**2 - 1 - 2*j + 2.\nAnswer: -j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/18)\/((-110)\/60 + 2). Let t be 10\/(-3)*30\/(-25). Suppose 1 = t*h - 7. Solve m = -5*r - 22 - j, h*r + 14 = -m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8198*g**2*o**3 - g**2*o**2 + 36*g**2 - 6199*g*o**3 + 26624*g*o**2 + 5*g*o wrt o?\nAnswer: -49188*g**2 - 37194*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1942*o + 3655*o - 3 + 3 in the form l*o + y and give l.\nAnswer: 1713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w - 37*w - 3*b = -3, -w - 12*b - 8 - 19 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1424\/(-2800) - (105\/(-350) + (-18)\/140).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4699*g - 23508. Calculate h(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/(-28)*(-7)\/(-1). What is u rounded to zero decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 6*m - 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89208 or 89184?\nAnswer: 89208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.908 to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and 11.0241.\nAnswer: 374.8194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:01 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.55641ml to litres.\nAnswer: 0.03255641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2\/2 - 12*b - 24 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n**2 + 8*n - 19. Calculate g(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15794 is divided by 337.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 349154 and 13858.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = q + q. Let j(p) = -p**3 + 11*p**2 + 11*p + 17. Let i be j(q). Solve 3*a + 3*x + 9 = -18, 0 = i*a - 3*x + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 - -1. Let t = 1285\/11 - 117. What is the second biggest value in -1\/4, o, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444 (base 5) to base 12.\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 423, 428, 437, 450, 467, 488, 513?\n\"Answer: 2*w**2 - w + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2534*f**3 + 1000*f**3 + 3*f**3 - 1697*f**3.\nAnswer: -3228*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1976, -1055, -134, 787, 1708, 2629?\nAnswer: 3550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-12 - -10 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 409432, 818844, 1228232, 1637596, 2046936, 2456252, 2865544?\n\"Answer: -12*v**2 + 409448*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:46 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377 - 1519 + 3647 = 643*c - 2925 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -4*u + 234. Let j = u + -24. Let i = 34 - j. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 30*k**2 + 14*k + 8. Give b(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3077\/(-255)*-3 + 6\/(-15)*-2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/11, 51 in ascending order.\nAnswer: -2\/11, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7257051*q**2 - 12*q - 7257048*q**2 + 12*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-11)\/(-44)*-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177616677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f**2 - f - 1. Let r(j) be the first derivative of j**2\/2 + j - 105. Let m(x) = -r(x) - v(x). Let s(q) = -7*q**2. Give m(s(l)).\nAnswer: -784*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/12)\/(3\/36). Let k be (-10)\/(-15)*q*1. Let v(d) = d**2 + 2*d - 3. Is 15 a factor of v(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 177472, 176021, 173602, 170215, 165860?\n\"Answer: -484*z**2 + z + 177955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 12*v**2 - 11*v + 1. Let f(s) = -s + 4. Suppose 4*a + 12 = -12. Let t be f(a). Is q(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 16*l - 47. Let j be n(24). Let m = 249 + j. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004811736601 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2. Let m be i(-1). Which is smaller: 2\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -32 in descending order.\nAnswer: -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:00 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 36*c = 917. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10450 bigger than -10443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s - 1. Let u(k) = 193*k**2 + 14*k - 6. Let n(y) = -2*r(y) - u(y). What is the second derivative of n(c) wrt c?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.18 (c) -19 (d) 1 (e) 12 (f) 2\/177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5412*k**2 - 10818*k**2 + 5408*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -15277*x**3 + 229157*x**2 + 244402*x - 32 = 0?\nAnswer: -1, 2\/15277, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008220133 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5\/(c\/(c*c\/(c\/(c\/c**(2\/9)))*c))*(c\/c**(1\/2))**(-20) assuming c is positive.\nAnswer: c**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 320?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1*sqrt(3328) + 3)*3)**2.\nAnswer: -864*sqrt(13) + 30033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 424 - 448 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 230513.5l in millilitres?\nAnswer: 230513500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 14 + 6. Let x be o\/(-6) - 100\/(-15). Suppose -6 = -x*d + 6*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(1\/3)\/c)**(1\/50)\/(c**(-2\/7)*c)**(8\/9))\/((c**3)**(-42))**(-3\/25) assuming c is positive.\nAnswer: c**(-49481\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**3 - 9*w**2 - 12*w - 35. Give u(-6).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*r + 2*r = 165, -5*r = 5*j - 135. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - 2*t**5 + 0*t**5 + (3 + 2 - 7)*(-4*t**5 - 2*t**5 + 4*t**5) - 24552*t**5 - 5 + 0*t**4 - t + 2*t**4 + 24550*t**5 + 2*t**2.\nAnswer: t**5 + 2*t**4 + 2*t**2 - t - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4346, -4404, -4424, -4394, -4302?\nAnswer: -4136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, and 1 o when three letters picked without replacement from {s: 1, y: 2, v: 1, z: 4, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 16) + (31 - 9 - 36).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -3 (c) -247 (d) 5\/12 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 (base 7) in base 12?\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 199676 plus 18684843?\nAnswer: 18884519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/12 + z**2\/2 - z. Let s(r) = -r**3 + 2*r**2 + 2. Suppose 3*n + 4 = 4*n. Suppose 0*g + 24 = n*g. Give g*d(k) - 3*s(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1230b17 - 0?\nAnswer: -1230b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/((-1)\/(1\/3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u**2 - u + 1. Let d be g(1). Suppose m - d = -4*v + 4, 4*m - 7 = 5*v. Solve w - v = -6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1321716 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**2 - 1 + 3 - 1. Let o = 224 - 224. Suppose -4*r + 19 - 23 = o. Determine p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**5\/60 - v**4\/12 + v**2\/2 - 2. Let b(p) be the second derivative of y(p). Find the second derivative of b(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkcxksyxckxkckssxssx. Give prob of picking 3 s and 1 c.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 + 103*l**3\/3 - l**2\/3 - 103*l\/3.\nAnswer: l*(l - 1)*(l + 1)*(l + 103)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from zgkzggkk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 8*h + 27. Let z be g(5). Let w(o) be the first derivative of o**3\/3 - 13*o**2\/2 + 14*o + 2. Let a be w(z). Solve -4 = 6*q - a*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - 5*i + 11. Is y(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134)\/(-210) + 4\/(-10))*(-42)\/105?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2557532.999964 - 2557520. Let i = 13 - v. Round i to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 71 - -2*(-2)\/(-12). Let z = -72 + q. Which is the second smallest value? (a) -5 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**4 + v**2 - 1. Let q(s) = -1 + 5 + 10*s**4 - 3*s**2 - 2*s**2 - 2*s**4. Let x(u) = -q(u) - 4*z(u). Find the third derivative of x(b) wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/9 - 217*m\/3 - 51480.\nAnswer: (m - 1080)*(m + 429)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1478 + 2990. Is t a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, v: 2, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 5:30 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -122*k**2. Let s(y) = 8*y**2. Determine s(h(q)).\nAnswer: 119072*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/7, 0.2, 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.2548mm in micrometers?\nAnswer: 991254.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3081\/4 + -771. What is the closest to 2 in o, 4\/9, 0.4, 0.2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-46) + (-8947)\/(-529) + -14. Solve 8 = h*t + r + 1, 5*t = -5*r - 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4*t + c**3 + 20965*c - 39*t - 10469 wrt c?\nAnswer: -8*c**3*t + 3*c**2 + 20965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/19 - 3262*z\/19 + 3264\/19 = 0.\nAnswer: -1632, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**6*d)\/d)\/d**(-5\/2))\/(d**(-12)\/(d**2\/d)) assuming d is positive.\nAnswer: d**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 1683*g**2 - 3367*g\/2.\nAnswer: g*(g - 3367)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4)*-6*6\/9. What is the common denominator of z\/(-2) + (-154)\/(-66) and -39\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -3 (c) -0.4 (d) -0.3 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) -3\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19726 is divided by 19719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u = -65*u. Let r = 41 - 118\/3. Let 2\/3*z + 1\/3*z**4 + r*z**2 + u + 4\/3*z**3 = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/77*-77 - 24.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -0.341, 4.\nAnswer: -113, -0.341, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -5, 0, 3, -399 in descending order.\nAnswer: 5, 3, 1, 0, -5, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12111, 24192, 36243, 48258, 60231, 72156?\n\"Answer: -b**3 - 9*b**2 + 12115*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -3264?\nAnswer: 3263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let w = -5 - -164. Suppose 0 = v*r - 5*r + w. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10332133330 (base 4) in base 6?\nAnswer: 43543404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 6*l**2 + 7. Calculate h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*79504.6\nAnswer: -12720.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 123.67953 months?\nAnswer: 10.3066275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -3*4*sqrt(12))\/(sqrt(20)\/(sqrt(55)\/sqrt(11) + sqrt(5))).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10934912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(98)\/sqrt(2)*2 - sqrt(49))\/(sqrt(7) + (sqrt(1008) - ((sqrt(1008) - 1*sqrt(1008)) + sqrt(1008))) + sqrt(1008)) + sqrt(28)\/(-3*sqrt(144)) + 2).\nAnswer: -10 - 25*sqrt(7)\/234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 93 - 2\/5*w**2 - 1\/3*w**3 + 1\/20*w**4 + 4*w. Factor t(d).\nAnswer: (d - 5)*(d - 2)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 17*v**3 + 11 - 10 + 16*v**3. What is the units digit of d(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 685 or 804?\nAnswer: 804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373215 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 9. Let d be t(10). Let r be -106998 - (1\/1 + d). What is r rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-12)*o**(-1))\/(o**(-1\/4))**(20\/9))**(9\/4) assuming o is positive.\nAnswer: o**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1684883.\nAnswer: 5\/1684883","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is -125\/6 greater than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4589 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -33, -40, -45, -48, -49?\n\"Answer: y**2 - 12*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12573, -12572, -12571?\n\"Answer: a - 12574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -37*o - 925. Let z be j(-25). Is z at most 1\/554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 32 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**6\/360 + 7*t**5\/120 - t**4\/8 + 5*t**3\/3 - 8*t. Let j(b) be the second derivative of x(b). Determine j(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-88)\/(-8) - (-1)\/(-1). Let h be (-44)\/(-20) + (-2)\/u. Let i(g) = 3*g + 2. Determine i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 1 + 1)*(-5 + 7 - 1)*((0*d + 3*d - 2*d)*(4 - 4 - 2 + (1 - 6 - 1)*(2 + 1 - 2)) + (4 + 1 - 4)*(-3*d + 4*d + d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -16 - 8. Let c(r) = -r**3 - 12*r**2 - 29*r + 5. What is the hundreds digit of c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - e2d0?\nAnswer: -e2ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 599359 (c) -3\/5 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**8\/560 - m**7\/140 - m**6\/120 - 8*m**3\/3 + m - 27. Let h(g) be the third derivative of p(g). Solve h(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t = -40*t + 3. Let a be (-1 + 1 + t)*-4. Calculate the highest common factor of a and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 2*v - 788. Let t be r(0). Is t\/(-3)*9\/(-6)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -591458999213 - 1.\nAnswer: -591458999214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.16 + -3.13. Let h = -0.03 + o. Let y be (-7)\/20 + 2\/(-8). Is y at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - 0 - (-1586 - -1560)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000040072 to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -534496, -1068978, -1603460, -2137942, -2672424?\nAnswer: -3206906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4559*r = -2012*r + 65710 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/(-8) + -4)\/((-6)\/(-280)). Suppose 136 = 2*q + 6*k - 3*k, -q + a = 2*k. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 - 7700*j**4 - 3447948*j**3 + 246996772*j**2 - 5128405120*j + 33454924800 = 0. What is j?\nAnswer: -995, 16, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afff when four letters picked without replacement from {a: 3, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 7. Let t be i(-7). Suppose -4*l + t - 11 = 0. Is l at most -4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 2. Let g = 9 - 2. Let l(r) = 5*r - 3. Let b(m) = -9*m + 6. Let i(u) = 6*b(u) + 10*l(u). What is g*a(o) + 2*i(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2484509*u**5 - 4*u**2 + 192827 wrt u.\nAnswer: 149070540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/51 + -1)*39\/39. Which is the third smallest value? (a) n (b) 196 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12406561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 378087?\nAnswer: -378088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaafapaeeaafeaaaoa. Give prob of sequence fof.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 11:48 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 186*v**2 + 266*v - 217. Is l(-97) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 21*b - 94 = -20*b, -5*x = -3*b + 166. Let l be (-1 + 2\/2)\/(x\/(-16)). Solve -5*r + 4 + 6 = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-41*n**2 - 60*n**2 + 11*n**2) + (0*n**2 - n**2 + 3*n**2)*(0 + 1 - 2) - 5*n**2 + 0*n**2 + 3*n**2.\nAnswer: -94*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/5)*f)\/((f\/f**9)\/f))\/(f**(-3))**(3\/34) assuming f is positive.\nAnswer: f**(1847\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280227, -3, -46, -4, 1.\nAnswer: -280227, -46, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -26394 less than -26406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from tntt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112210 - 10?\nAnswer: 2112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/24 and 69\/332.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 11\/2)*(-12)\/(-465). Which is the third smallest value? (a) -1 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -576595, -576607, -576621, -576637, -576655, -576675, -576697?\n\"Answer: -l**2 - 9*l - 576585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -10 + 9 + 12 + 88 + -135.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:19 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 51, -36873, 0.3?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (2*sqrt(300) + -1 - sqrt(300)) + (sqrt(300) - (-1 + sqrt(300) + -1)) + -4)**2.\nAnswer: 20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-10)\/(-4))*(-1430)\/(-20). Suppose 0*s + 11*s - c = 0. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.458818us in milliseconds?\nAnswer: 0.003458818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28277783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 6) in base 7?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1 = -2*w, -2*o + 7*o = 2*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4031 (base 7) in base 8?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 48*i**3 - 20*i**2 - 17*i + 1. Let x(t) = t**2 + t + 1. Suppose 16 - 8 = 2*r. Let n(w) = r*x(w) - m(w). Determine a, given that n(a) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 42*y**3 - 27. Let a(t) = 6*t**3 - 4. What is -27*a(c) + 4*d(c)?\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqhlhqlhhqhlmqhhh. Give prob of picking 2 q.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:22 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 418*p - 161980\/3.\nAnswer: -2*(p + 182)*(p + 445)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6011 - 0.0708?\nAnswer: -4.6719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 149*r - 7451. Determine o(48).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 50*v**3 + 2*v**2 + 6*v + 3. Determine j(-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -408, 2.\nAnswer: -408, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-36)\/((-72)\/8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-33) + (-4 - -3) - 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2880)\/(-630))\/((-4)\/14)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 52 + 18. Let h be (-1487)\/1865 + (-15)\/r*-2. Let d = h + -1\/373. Is 3 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1090 divided by 218.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*b + 6*b. Suppose -2*y - y - 17 = 5*f, -4*y = f + b. Are -2\/11 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - ((sqrt(1584) - ((sqrt(1584) - (-1 + sqrt(1584))) + sqrt(1584) - sqrt(1584))) + sqrt(1584)))*-3)**2.\nAnswer: -216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1045)\/(-77))\/(-95)*1\/(20\/2765)\nAnswer: -79\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 9*b - 10. Let z be m(-10). Let r(c) = z*c**2 - 49 - c**2 + 50 + 0*c**2 - 2*c. Suppose 7*t = 105 - 126. Determine r(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 2*w + 3. Let l be z(-7). Let k = l + -21. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 85?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, 5, 2, -0.5, -4 in decreasing order.\nAnswer: 5, 2, -0.2, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4651876826041*l**2\/2 - 32352315*l - 225\/2 = 0. Calculate l.\nAnswer: -15\/2156821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 331194, 1325042, 2981536, 5300676, 8282462, 11926894?\n\"Answer: 331323*a**2 - 121*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**4 + 0*f**4 + f**4)*(99 + 76 + 22) to the form d + p*f**3 + o*f**4 + r*f + c*f**2 and give o.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30527*j**3*o**2 + 1000*j**3*o + 6*j**3*r + 9*j**2*o**2*r + 5*j**2*o*r - o wrt o?\nAnswer: 61054*j**3 + 18*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*a + 26 = 0, 6*a - a - 2 = 2*n. Find the second derivative of -80*z - 8*z**2 + 75*z**4 + 8*z**2 - 23*z**n wrt z.\nAnswer: 624*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*o - 612 = 438, -4*f = -2*o - 4230. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 76 and -0.079.\nAnswer: -6.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67855.225 and 0.3.\nAnswer: -20356.5675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -2154326?\nAnswer: -2154332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, t: 1, k: 9, a: 1, c: 3}. What is prob of picking 1 n and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.3, 1, -0.5, 35\/66, -16.9, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 3*l - 1 + 1. Let d be t(-5). Let m(i) = -2*i - 1. Let a(g) = g**2 - 5*g - 3. Give d*m(v) - 2*a(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 plus -0.7?\nAnswer: -286.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32714187.628 rounded to the nearest 100000?\nAnswer: 32700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 - -957888799\nAnswer: 957888799.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, -15, -30, -45, -60, -75?\n\"Answer: -15*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2290750\/(-510))\/(-275))\/(-3 - 16\/(-6)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60731\/252 - 1700\/7. Find the common denominator of -63\/1052 and s.\nAnswer: 9468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d + 116*d + 480 + 3090 = -155*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/25, -4, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 7*q + 700. Let n be k(23). Solve -5*x + 0 - n = 0, 3*w = -4*x - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*c - 160. Let v be 87\/(-145) + c\/(-10). Let w(f) = 2*f + 1. Calculate w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 611*y + 3 + 8 - 11 - 14651*y as k*y + v and give k.\nAnswer: -14040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2853, -2856, -2847, -2814, -2745, -2628, -2451, -2202?\n\"Answer: 2*c**3 - 6*c**2 + c - 2850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.765166 to two decimal places.\nAnswer: -2.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = -j - 2*p, 2*j - 21*p = -20*p + 904. Calculate the lowest common multiple of 90 and j.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-98))\/(2\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77076 - 54759. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1018 - 1022. Let h be ((-1)\/(-2))\/(2\/(-20)). Let c = t - h. Solve 4*n - 7 - c = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 8. Let r be d(0). Let x be ((-4)\/(-6))\/(r\/(-348)). Let y = 59 + x. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9531, 9538, 9553, 9582, 9631?\nAnswer: 9706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*o - 0*x - 12, -x = -o - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0 - 6. Let y be (-5727)\/(c\/(-2488)*3). Let t = y - 6974796. Round t to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-6)\/5)\/(16\/(-340)). Let n = r - -58. What is the remainder when 26 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u. Suppose 2 + u = -w. Let i = -2 - -3. Which is the closest to i? (a) 2\/11 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*a + 6 = 0, -n + 6*n - 19 = -4*a. Suppose -n*k - 2*k = -36. Let c be -1*(-2 - -2)\/(-3). Solve -2*u + 4*f = -c*f + k, 6 = -3*u - 4*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -16, 2\/99, -1.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 - -7 - 2) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4178673744 take away 5?\nAnswer: -4178673749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14)\/(a\/a**(-2\/25))*(a**(1\/6))**(6\/19) assuming a is positive.\nAnswer: a**(-7138\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 149866768.\nAnswer: -299733536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-6))\/((-8)\/480 - 8\/(-80)). Let x be -30*((-6)\/(-4))\/(-3). Let p be (9\/x + -1)*-15. Solve m*y - 10 = p*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -18*w - 9. Let h be i(-5). Suppose -76*z - 1085 = -h*z. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261204 = 5*s + 3*x - 4*x, 5*s - 4*x = 261201. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1077 * -0.292125\nAnswer: 0.0314618625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, 1 n, and 1 b when four letters picked without replacement from {a: 4, f: 2, b: 2, l: 6, i: 1, n: 3}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 2760*h + 5508.\nAnswer: 3*(h + 2)*(h + 918)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/40)\/(1 - (-441)\/105). Let z = 63\/208 - i. Find s, given that 2\/13*s**2 - z*s + 2\/13*s**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 5, -1, -2, 1 in descending order.\nAnswer: 22, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(-2 + (sqrt(5) - (sqrt(10)*-1 + sqrt(10))\/sqrt(2)) + (2*sqrt(80) - sqrt(80))**2).\nAnswer: -2340 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1530 is divided by 310.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 5 (c) -2\/5 (d) 2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, 1 s, and 1 r when four letters picked without replacement from wubuuuuubrbbburs?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b + b - 5*b + (-4028 - 28250 + 70850)*(3*b - 4*b + 3*b)*(3 - 4 - 1) as x + i*b and give i.\nAnswer: -154286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26664 and 13332.\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 4.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbiicib. Give prob of sequence ccib.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 72. Let b be l(2). Suppose -4*p + 2*o - 174 = -p, 0 = -p - o - 58. Let r = p + b. What is the smallest common multiple of r and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 0*c**2 - 3*c**5 + (1760*c**2 + 3307*c**2 + 1763*c**2 - 2807*c**2 + 3604*c**2)*(3*c**3 - c**2 + c**2).\nAnswer: 22878*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1325126 by -1474.\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 10 = -8. Suppose 2*q - 53 - 235 = -s*f, f - 5*q - 174 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 2796129?\nAnswer: 2796123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35138 less than 2?\nAnswer: -35136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2. Let o(m) = -109*m**2. Give o(r(z)).\nAnswer: -436*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -7*d**2\/2 - 2*d - 3. Let f be m(-3). Solve -6 - f = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxxxxkstxxwxxtssxx. Give prob of picking 1 x and 1 k.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**4*(t\/(t\/((t*t**(-6))\/t)))\/t**(-2) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 261\/7, 1, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y + 29 + y**2 - 128 + 30 + 29 + 37. Let l(h) = h**3 - 3*h**2 - 4*h + 2. Let z be l(3). Determine a(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/12 + 3*j. Let x(y) = -11*y**2 + 13*y**2 + y**2 + 8. Determine n(x(r)).\nAnswer: 9*r**4 + 48*r**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33*41\/73062)\/(1\/3)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(sqrt(700) - (sqrt(700) - sqrt(700)*2)*3)**2.\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.7, -6, -13, 3.9, 2\/11 in ascending order.\nAnswer: -13, -6, -0.7, 2\/11, 1, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:03 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/4 + f**3\/6 - f**2\/2 - 2*f. Let p be m(1). Solve 0 = -p*i + 11 + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/3, -76645.\nAnswer: -76645, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:18 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5936*t**2 + 5936*t**2 - 103*t**4 + 14*t - 3 wrt t.\nAnswer: -1236*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + -6*sqrt(32))**2 - (((sqrt(8))**2 - sqrt(2)) + -3)) + (((sqrt(2) + sqrt(8)\/sqrt(4))*-4)**2 - ((sqrt(2)*-1)**2 + -1)))*-2.\nAnswer: -2360 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 55*b**2 + 58*b - 206. What is t(54)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13306508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*d**3*f**3 + 50*b*d**3*f**2 - 993406*b*d*f**3 - 2*b*d - 27*d**3*f - 2*d**2*f**2 - 370*d**2 wrt f?\nAnswer: -12*b*d**3 - 5960436*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16706, 16703, 16700, 16697, 16694?\n\"Answer: -3*s + 16709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and (-1*(-3)\/(-3))\/((-4)\/20)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 i when four letters picked without replacement from ipippppipppiipipipp?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*x - 1. Suppose 4*m + 11 = 2*c - c, -4*c + 20 = -x*m. Is m > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*w + 2262 = -381*w. List the prime factors of w.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/97, -1\/2, 17, 97\/2?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006006 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10443 and 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2292\nAnswer: 7\/2292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3 - 4828*x**2 + 148696*x + 316672 = 0. What is x?\nAnswer: -1237, -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2121 and 530957.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -1. Let g be 22\/4 + k\/(-4). Suppose 2*z = -g*d - z, 28 = d - 5*z. Solve 5*c = -4*m + 6, 0 = 5*c - d*m + 15 + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 22*a**2 + 19*a - 18. What is z(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -1331b?\nAnswer: 13321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1956*w - 308 = 1912*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10)*(-20)\/(-18))\/((-23876)\/137287)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17743.\nAnswer: 11, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*s = -1, 0*a = -4*a - 5*s + 7. Let w = -235 - -238. Suppose -25 = 4*k + 4*j - 61, -a*j - 33 = -w*k. Calculate the least common multiple of 8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t = -3*u, -3*u + 24 = -3*t. Let k be 5 + (0 - (0 + t)). Let z be k*(4\/(-1))\/(-8). Solve -3*w + 2 = -4*m - 0*w, w = -2*m + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -33*g**2. Let t(p) = -2*p**2. Calculate s(t(h)).\nAnswer: -132*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17*d**2 + 32*d - 78. Calculate the remainder when m(15) is divided by 264.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j + 2*q, -q = -j + 5*j - 17. Suppose 2*s - j*d + 15 - 3 = 0, -4*d = -3*s - 4. Let u be (s\/(-6))\/(11\/3). Is -0.1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 56 = -3*b, b + 293*x - 132 = 301*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4\/13, 1\/5, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k**3 - 6*k**2 + 6*k**2 + (-2*k**2 + 4*k**2 - k**2)*(5*k - 4*k + k) - 2*k**2 + 2*k**2 - k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5250)\/(-1225))\/(2\/(-7))*4\/3. What is the third smallest value in 4, f, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -8 (c) 0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80891, 81987, 83813, 86369, 89655, 93671?\nAnswer: 98417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 27160 = 20*k. Let m = k + -2870. What is m rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3675842 and 100708.\nAnswer: 7351684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4457566cm to meters.\nAnswer: 0.004457566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 7. Let q be (1 - 0)*(14 + -17). Let l = -2 + q. Let u(y) = 1. Let z(x) = l*p(x) - 35*u(x). Let h(s) = -s**2. What is h(z(w))?\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) -4 (b) 5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1668 and -4.\nAnswer: -6672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x**2 + 1 + 18*x**2 - 1 in the form s*x**2 + j + t*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12022101 (base 3) to base 16\nAnswer: f1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, 0, -10, 5\/3, 1124\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81a99 (base 14) in base 8?\nAnswer: 1141547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 828*y**3 - 254*y**2 + 254*y**2.\nAnswer: 828*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 79. Give q(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135413\/6 - 22570. Let j be 1 + 0 - (2 + -2). Is j at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 5*a**4\/12 - 7*a. Let q(c) = 3*c. Calculate o(q(u)).\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**3 - 3*n**2 - 4*n - 4. Let z be v(-4). What is z rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**5\/75 - m**4\/60 - 13*m**2. Factor g(j).\nAnswer: 2*j*(2*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -688 (base 14) to base 13\nAnswer: -789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 237\/8 - ((-124)\/(-620))\/((-16)\/30).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940.1335 nanometers to kilometers.\nAnswer: 0.0000000009401335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2. Suppose 5 = -j + 7. Let p(z) = -z + j*z - 3*z. Calculate c(p(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.4. Let g(r) = -r**3 - 8*r**2 + 8*r - 5. Let y be g(-9). Suppose 0 = -4*n - y*k + 4, -5*n + 19 = -4*n - 5*k. Sort j, n, 2\/9.\nAnswer: j, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407079 less than 20\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(144)\/sqrt(3)*6*4.\nAnswer: 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12950507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q + 2. Let i(k) = 5*k - 1. Let n(w) = 2*w**2 + 5*w - 3. Let x be n(-4). Calculate x*i(a) + 4*j(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.454718 centuries in months?\nAnswer: 545.6616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-3) + ((-6)\/9)\/2. Let i be 1\/t*(-8 + 0). Solve 2*c + 3*k + 4 = 4*c, -c = -i*k - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1293899 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 117*c - 21. What is the hundreds digit of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3))**(-4\/3))**(-1\/51)\/((s\/((s*s**(-1))\/s))**3)**(-46) assuming s is positive.\nAnswer: s**(126688\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -79, 1\/2, 34?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 16, -98, -3 in descending order.\nAnswer: 16, -3, -13, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -848, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/6 (b) -101 (c) 5\/6 (d) -1\/2 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/14 - -1\/2. Let c be ((-312)\/(-390))\/(1 - (-18)\/10). Sort 0, 1, l, c in ascending order.\nAnswer: 0, l, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 855.406 years?\nAnswer: 85.5406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 12 - (145 - 132)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -40. Let o = 18889\/6 + -3138. What is the common denominator of ((-3)\/v)\/(54\/(-156)) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1236791000 to the nearest 1000000.\nAnswer: -1237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12 - (9 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5 - 1019296*c**3 - 123*c**2 - 303523 wrt c?\nAnswer: -180*c**2 - 6115776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:34 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66038903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/k)\/(k*(k*k**(8\/9))\/k)*(k*k\/(k\/(k*k*k**(-2))))**16 assuming k is positive.\nAnswer: k**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 27*o - 17*o - 5 + 70*o**2 - 72*o**2. Calculate f(8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:19 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114432265635 minus -2?\nAnswer: 1.885567734365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-30) - 21\/630*4. Are q and -2\/4179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19523)\/(-8367)*(-150)\/14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 12*w**2 + 7*w**2 + (0*w + 3*w - 4*w)*(-w - 4 + 4) + 2*w**2 + 2*w**2 - 2*w**2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 + -115. Which is the biggest value? (a) -4 (b) y (c) 1\/2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/77807675 and -26\/63660825?\nAnswer: 700269075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3 + 212*g**2 + 796*g + 588 = 0.\nAnswer: -49, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 275*z - z**2 + 51*z + 227*z as t*z + a*z**2 + i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250022371.\nAnswer: 13, 4157, 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7174966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101101010000100001011 (base 2) to base 4.\nAnswer: -111222010023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 2457395320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = g - 3*m, 20*g - 2*m = 15*g + 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -20*r + o + 125884, -157355 = -5*r + 6*o. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 20, -2\/1941, 2, -0.5 in increasing order.\nAnswer: -0.5, -2\/1941, 0, 0.5, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let v(z) = z**3 - 5*z**2 + 2*z + 7. Let p be v(4). Let l be -4*(-1 + p)\/4. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 3*h + 3. Suppose -5*g + 21 = 4*r - 2*r, r - 4*g = -22. Determine i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184353541 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 5*b**2 + 2*b. Let p = -50 - -46. Determine v(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -845902 by -268.\nAnswer: 422951\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42000 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - -23. Let m = 90.999842 + o. Round m to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.952813 times 5?\nAnswer: -29.764065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/5 (b) -3\/4 (c) 2 (d) -30 (e) 1\/7 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 5*p**2 - 11*p + 6. Let f be a(-5). Suppose -104 = -2*s + f. Which is smaller: s or 146?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75691 is divided by 18906?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6 - 22*m - 20 + 0. Let i be h(-14). Suppose 6*j - 4*j - i = 0. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28035 by 5.\nAnswer: -5607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -342 (base 9) to base 4\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from karkkkokkkkaxxr. What is prob of picking 1 a, 1 o, and 2 k?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.10394 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three quarters of a meter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 52. Let z(j) = 3*j. What is u(z(k))?\nAnswer: -6*k - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + (sqrt(800)*1)**2 + -2 - ((-4 + sqrt(72) + sqrt(2))**2 + sqrt(10)\/(sqrt(20)\/sqrt(4) + sqrt(5))).\nAnswer: 119*sqrt(2)\/2 + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.03006.\nAnswer: 0.1503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(0 + 0 - 1)*(-1 - 1 + 3)*(0*s**2 + 0*s**2 - 3*s**3).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*v - 3*s - s, -2*v - 2*s - 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/3 (b) -4 (c) 1.72 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -12988*k + 61294. Give q(5).\nAnswer: -3646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**2 + 13*p - 15. Let c(w) = -3*w**2 + 7*w - 7. Let h(s) = 5*c(s) - 2*v(s). Let b be h(-9). Sort b, 0, -4 in ascending order.\nAnswer: b, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(1584) + -3)**2.\nAnswer: -48*sqrt(11) + 1590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0981 times -1\nAnswer: 0.0981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 14. Let b(g) = -2 + 2 - y*g. Let l(w) = -3*w + 3*w - 4*w + 3*w. Give b(l(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 greater than or equal to -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - sqrt(228)*-1*3 - sqrt(228))\/(sqrt(48)*-6))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 12\/7*z**2 - 172\/7*z.\nAnswer: -4*(z + 14)*(3*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - (-6)\/24 - 2. Let o be 1*(-93)\/33 + (-4 - -7). Which is bigger: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 195, 402, 595, 768, 915, 1030?\n\"Answer: -k**3 - k**2 + 217*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -10\/29, -0.1, -0.2, -25, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyocoyy. Give prob of sequence oyoy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 68\/5, -106, 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 13, r: 5}. Give prob of picking 3 r.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*o - 6 = 100*o. Solve -6 - o = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2280191 micrograms in grams?\nAnswer: 0.0000002280191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -675494.3067479 and -0.03?\nAnswer: 675494.2767479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjikjijjjkijkkj. What is prob of sequence jiki?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.35 + -1.35. Let q = 0.4 - 0.3. Which is the nearest to k? (a) q (b) -1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3842345ug in kilograms?\nAnswer: 0.0000000003842345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -196*t + 223. Let p be x(6). Let r = -13311\/14 - p. Find the common denominator of -61\/10 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 336*r - 2. Let t be w(-4). Let d = t - -6752\/5. Let f = d - 39\/10. Put f, -0.5, -2\/11 in ascending order.\nAnswer: -0.5, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let q(d) = -d**3 - 7*d**2 - 7*d. Let r be ((-12)\/(-10))\/(2\/(-10)). Let a be q(r). Let z(b) = a*b - 3*b - b. Calculate z(j(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 7*a**2 + 10*a. Calculate k(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmmxoxooqll. What is prob of sequence lxjq?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 8*g - 1. Let p be y(7). Let q = p - -71. What are the prime factors of q?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 1 - 1 + (4 + 4 - 7)*(v - 4*v + 5*v) + 0*v - 2*v + 4*v + v - 5*v + 2*v + 0*v + 3*v - v)*(3 - 3 - 3*v + v + 2*v - v + (v - 4*v + v)*(-5 - 1 + 2)).\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 57, -3, -4455, -7\/3 in descending order.\nAnswer: 57, 0, -7\/3, -3, -4455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55024.\nAnswer: 2, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*7*(-3)\/(-441)*-4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-1))*y**2)**(2\/87) assuming y is positive.\nAnswer: y**(2\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13659516.\nAnswer: 2, 3, 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -652 times -0.04\nAnswer: 26.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-18) + 0 + 6\/(-2 - -56)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 24. Let u(c) = -c**3 + 3*c**2 - 2*c + 3. Calculate u(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-10 - 18*x + 10 + (-5 + 1 + 2)*(4 - 4 + 2*x)).\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -850 times 11600.2\nAnswer: -9860170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 + 85*k + 201. Give t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a day in hours?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 202.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a\/(a\/((a*a**(-2\/9))\/a)))\/(((a\/(a**(2\/5)*a))\/a)\/a)**(-22\/3))**12 assuming a is positive.\nAnswer: a**(-3568\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 + 522 = -517*u + 496*u for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 + -81. Suppose -74 = -v*g - 14. Suppose -g*f = 9*n - 13*n + 4, 4*n = 5*f + 7. Sort -13, 1, n.\nAnswer: -13, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*h - 4. What is a in -7*a - 25*a + h*a**2 + 76*a = 0?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2167338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 8. Let r = 37 - 34. Which is the third biggest value? (a) j (b) -5\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2065 is divided by 148.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-40))\/((-9)\/(-4)). Let h = -0.5 - 2.5. What is the second smallest value in h, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r**2 + 2*r + 1. Let w = 5 - 2. Suppose -5*i - 2*u + 13 = 0, 5*i + 4*u - 18 = 7*u. Suppose n = w*x + 10, 4*n - i*x = x + 8. Calculate k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -19.7, 3, -9\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 5*c - 19, 514302*l = 514301*l + c + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1747213731 to the nearest integer?\nAnswer: 41800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -632 - -4?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 2*u + 1. Let k be b(2). Suppose -i + 5 - 11 = 0. Let m(j) = -j - 2. Let y be m(i). Which is smaller: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(-3\/14)*(b**(-2))**26 assuming b is positive.\nAnswer: b**(-719\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3744 and 7488.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.46 and 0.0904?\nAnswer: 5.3696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, i: 3, l: 9, m: 1, y: 2}. What is prob of picking 1 i, 2 y, and 1 l?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1829 - 1829 + 8*f + 20*f to the form h + k*f and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000639999 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 709166821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q - 359. What is v(45)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p - 72 = 0. Let v = p - 23. Let u be 9 + -13 + (-18)\/v. Which is greater: u or -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-5 - 0 - (-307 + 295)) + (-77 - 0))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -1)*-1*1. Let j = 0 + o. Is 17 + 3 + (j - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16153 (base 10) to base 6\nAnswer: 202441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/13)\/b*b*(b*b**(-5))\/b)**(-33) assuming b is positive.\nAnswer: b**(2013\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = q + 5*v, 5*q + 4*v - 24 = 3*q. Suppose -30 = -t - q*t. Calculate the remainder when 17 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-27) - -2)\/((-3)\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 81*q + 4. Is l(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -77 (b) 3\/4 (c) 2\/1195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15626 is divided by 410.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3 + 18*y**2 + 135*y - 205. Suppose w(b) = 0. What is b?\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7944109, 7944111, 7944113, 7944115, 7944117, 7944119?\n\"Answer: 2*u + 7944107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/7 + 1636*x**3\/7 + 13161*x**2\/7 - 14796*x\/7 = 0. What is x?\nAnswer: -9, 0, 1, 1644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 2, k: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -549.97 - -625.1. Let m = x + -0.13. Which is bigger: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 - 105*r + 19. Let w be y(-35). Suppose -n - 3 = -2*n. Let u(k) = -16*k**n - 21*k**3 + 11*k**2 + 55*k**3 + k - w*k**3 - 11. Calculate u(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 - t - 7. Let p be g(10). Let q = 28 + p. Suppose 9 = -n + 19. What is the smallest common multiple of q and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**3 - 4*o**2 + 3 + 2 - 4*o**3 + 8*o**3 - 3*o. Let r(c) = c**2 - 8*c + 8. Let w be r(6). Is d(w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2668*g + 2668*g - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.13, 1, 0, -2.7 in ascending order.\nAnswer: -2.7, -0.4, 0, 0.13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2. Let b(i) = -7*i. Let q(t) = 13*t. Let x(v) = 7*b(v) + 4*q(v). Give j(x(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r**3 + 8*r**2 + 36*r + 48. What is the thousands digit of o(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -0.5, 8\/43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/7062 and 59\/1284.\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -28*x + 3. Let n(k) = -28*k + 5. Determine -3*n(g) + 4*p(g).\nAnswer: -28*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 945769\/2, -0.06, -2\/7?\nAnswer: 945769\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5 + 2. Let i = 142360.8 - 142354.30089. Let y = i - h. Round y to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3 - 9, 2*c + 3*y - 24050 = 0. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205467 is divided by 197?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**3\/3 + 83*c + 226. Let y(q) be the first derivative of t(q). Suppose 3*b - h + 6*h = -23, -5*h + 7 = -2*b. Give y(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -90, -78, -68, -60, -54, -50?\n\"Answer: -c**2 + 15*c - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 2. Let h(s) = 6*s**2 - 4*s + 7. Let k(i) = h(i) - 4*r(i). Suppose 2*c = c + 3. Suppose 0 = c*g - 2 + 5. What is k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11554)\/(-371) - (1375\/(-175) - (-1 + -6)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/8*92\/6*-1. Calculate the highest common factor of 46 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8297721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -543450 (base 6) to base 12.\nAnswer: -21b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 9*u**4\/4 + 12377*u**3\/4 + 2125207*u**2\/2 - 845552*u - 5916800 = 0.\nAnswer: -688, -2, 25\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-812)\/(-3045))\/((-10)\/(-7)*(-14)\/(-6)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)*w*w**(-3\/8)*w\/w**(-4)*w*(w*w*w*w**(-1\/2))\/w*w**(-4\/9)\/w*w*w*w**(2\/3)*(w**(2\/7))**(-2\/5) assuming w is positive.\nAnswer: w**(5627\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152562, 300842, 449122?\nAnswer: 597402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -21 + (21 - 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100002121212222 (base 3) in base 15?\nAnswer: 65774b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*(-5)\/(20\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*z = -164*z + 12. Suppose 5*s + 4*y = 109, -s + z*y + 37 = -0*s. Calculate the highest common factor of 225 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-12) + -6 + 12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = 0, -2*b + 91 = 3*y + 30. Let i = y - 18. Suppose 5*h = -4*d + 101 - 5, 4*d = i*h + 56. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + i + 356, -5*i + 122 + 56 = -2*a. Let s = a - -143. Let q(b) = -5*b + 4. Calculate the remainder when s is divided by q(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1896.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -262, -0.3, -4.9, -82?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 13*c - 87. Let q = 522 - 513. Calculate the remainder when 183 - 2 - 12\/4 is divided by f(q).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5 - 328*a + 161*a + 165*a. Give v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67725 divided by 4515\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 50866038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -257?\nAnswer: 21\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2))\/((-8)\/(-96)). Let a be (-78)\/c - (-2 + -2). Put 5, a, -0.2 in decreasing order.\nAnswer: 5, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 4 + (1 - 1). Suppose f*h = -h - 8. Put 6, 1, h in decreasing order.\nAnswer: 6, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46313.2 and 689777.\nAnswer: 643463.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 60*n - 3. Calculate w(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 20 = 5*q, -5*q = -r - 3*q + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 13*c + 26. Let w be -3*(-27)\/5 + 40\/50. What is the remainder when r(w) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -91*c**5\/20 - 1581*c**2. Let y(d) = -450 - d**2 + 450. Determine l(y(m)).\nAnswer: -273*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/215 (b) 3 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6361?\nAnswer: 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, 3\/4, -5, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 320748.8 litres?\nAnswer: 320748800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 75*o**7\/14 - o**6\/15 - 5*o**4\/4 + o**2\/2 - 1590*o. What is the third derivative of n(l) wrt l?\nAnswer: 13500*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 350536 = -49*i + 2957973. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - s + 2. Let b(a) = -27*a**2 - 39*a - 13. What is -b(y) - 6*m(y)?\nAnswer: 9*y**2 + 45*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/4 (b) -10 (c) 1400\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1272 divided by -24.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287 (base 10) to base 11.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*r + n, 4*r - 5 + 21 = n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2880) + -2*sqrt(45)*4)\/((sqrt(576)*-2)\/(sqrt(256) + (sqrt(256) - (-1*sqrt(256) - sqrt(256))))).\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46*154\/((-10780)\/(-175))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -161716023?\nAnswer: 161716007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**5\/60 - 7*l**4\/6 - 22*l**3 - 49*l**2 + 7. Let j(a) = 0. Calculate a.\nAnswer: -22, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {s: 1, h: 4, u: 1, x: 1, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111110101 (base 2) in base 11?\nAnswer: 5842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 336619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from mekecmmmedgmkdecmd.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6346*i**4 - i**2 + 7393699*i.\nAnswer: -76152*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154151\/7 - 22021. What is the closest to 6 in d, -0.2, -4.2, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = u - 2*y + 15, 16 = 4*y. Suppose -51824820 = u*r - 17*r. Let m = -6244988 + r. Round m to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 663 - 643. What is the highest common divisor of 90 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 7*s**2 - 2*s - 6. Let d be v(8). Let j be ((-4)\/d)\/(-1)*-3. Which is the nearest to 1\/3? (a) j (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5\/17 - 18946*y**4\/17 + 45161506*y**3\/17 - 1385811782*y**2\/17 + 9360893220*y\/17 = 0.\nAnswer: 0, 10, 21, 4721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**17)\/(x*x\/(x\/(x\/(x\/(x**(-10\/7)\/x*x))))*x) assuming x is positive.\nAnswer: x**(122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**3 - n - 3. Suppose 2*x = 52 + 4. Let u be (25\/35 - 2) + 8\/x. Determine t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*r = 184, 5*t - 4*r + 200 = 2*t. Is t equal to -318\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r**2*r)**(-41)*(r*(r\/(r\/(r*r*(r*r**(1\/9)*r)\/r)*r)*r*r)\/r)\/r**(-5)*r**(2\/17)\/r*(r**(-1\/2)\/r)\/r assuming r is positive.\nAnswer: r**(26845\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9186 - o**2 + 9186.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14 - (-13468)\/(-1813)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 15*j**2 - 48*j - 116. What is z(18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in 4, 18\/11, -5\/6, 1\/6, 29.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*v + 344*v + 465*v + 9747 = 0 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 28662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 4*q + 21, -25 = -5*w + 9*w - 5*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-14) - (-4212)\/273. Calculate the greatest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 5*x**2 - 11*x + 23. Is 110 a factor of r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -62 + 22. Suppose -2*k = 2*m - 16, 0*k - t*k + 10 = 2*m. Let l be 2\/m + (-188)\/(-10). Solve 4*d + 3 = -3*h - 2, -4*d + l = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(-1*sqrt(300) + sqrt(300) - sqrt(300)) + sqrt(300)))**2 + (sqrt(30) + sqrt(180)\/(sqrt(6) - (sqrt(6) - sqrt(54) - sqrt(6))))\/(-2*sqrt(160)).\nAnswer: -5*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 952 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 19271*t + 24 = -19272*t - 4, -2*q - 15*t + 97 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:26 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 100511157 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -22*k**2 - 98*k + 56. Let v be o(-5). Which is the second smallest value? (a) 2 (b) 31 (c) v (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Suppose -3*u + 1 = 5*o, o - m*u = -10 + 27. Suppose 4*w - 4 = 3*d + o*w, 0 = 4*d + 2*w - 18. Solve g - d*g + 10 = -3*p, 0 = 2*p + g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p**(-1\/2)*p)\/p))**(2\/23)\/(p**3*p*p**(-3\/4)\/p))\/(p**6*p*p\/p**9)**(-35\/3) assuming p is positive.\nAnswer: p**(-3853\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**3\/6 + 11*q**2\/2 + q. Let j = 486 - 492. Let u be s(j). Solve -5*c = a - 13, 3*a - u*c - 2 = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3 - 0)*(2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 1:51 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765091 is divided by 113.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1 + 2)**2*-1 + 5 + -4.\nAnswer: -847 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166159237 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 6*w - 40. Calculate the least common multiple of i(-12) and 30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = -29 + 22 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -23. Let n be (-1 - -2) + 0\/5. Calculate the common denominator of -121\/10 and v*2\/(-4) - n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.6. Let h = w - -0.51. What is h rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3405129 (base 12) to base 16.\nAnswer: 980271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 - (-15 + 9). Suppose -5*y - 4*t = -y - 216, -r*y + 2*t + 270 = 0. What is the remainder when y is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 18 + -4 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 + 8 = 0. Suppose j*i + 2*u - 28 = i, -5*u - 83 = -4*i. Suppose -36 = 3*r - 7*r. What is the remainder when i is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 30.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3062, -22440, -75042, -177482, -346374?\n\"Answer: -2769*o**3 + 2*o**2 - o - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 34, -12, 0.1 in increasing order.\nAnswer: -12, 0.1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 - 1 = 4*v, -4*v = -2*d + 24. Suppose -d*q + 50 + 10 = 0. Let w = 2 - -13. What is the highest common divisor of w and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42.2465 + -0.0465. Let k = c + 0.8. Put 2, k, 0.3 in decreasing order.\nAnswer: k, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212*r - 196*r - 9*r**2 - 2*r**2)*(-15 + 5 - 10).\nAnswer: 220*r**2 - 320*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/j**(-1\/6)*(j*j**(-2\/5))\/j**(1\/7))\/((j\/(j**(-6\/7)*j))\/j**6)**5 assuming j is positive.\nAnswer: j**(1797\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(1\/(-2) + 0). Let r = 5.25 - 5. Let s = -0.05 + r. Which is the nearest to -0.1? (a) s (b) v (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/2008 and -23\/1506.\nAnswer: 6024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 0.116?\nAnswer: 10.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 16*c - 15. Let f be m(-15). Let i be (f - 0)*(-3)\/(-3). Suppose 0 = -5*p - i*p + 205. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1584) + 1)*-3 + -1*2*sqrt(1584)*5)**2*5.\nAnswer: 4680*sqrt(11) + 1338525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/((-2)\/(-1))*1\/(-12)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.22067 litres to millilitres.\nAnswer: 89220.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -674 + 2111 + b + 4363. Suppose 0 = -0*h - 4*h. Let t be g(h). What is t rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o + 552. Let m be 6\/(-27) + (-1 - o\/(-18)). What is the third derivative of 0*f**2 - 5*f**2 - 28*f**5 - m*f**5 - 4*f**2 wrt f?\nAnswer: -2220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 5*c - 7*c + 9*c + 2. Let r(f) = 5*f + 1. Calculate -2*p(v) + 3*r(v).\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Let a(t) = -13*t**2 + 142*t - 142*t - 4. What is o(a(r))?\nAnswer: -338*r**4 - 208*r**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6790 and 1456.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let r be j(1). Let f = -254625 + 254627. Solve r = 2*v + v, -4*s - 12 = f*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(3) + 2 + (1 + sqrt(3) + -3 - sqrt(3))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53319151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -8*k + 3*k + 3342, 5*f - 2670 = -4*k. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 929624?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**5 + 95*l**4 - 165*l**3 - 1835*l**2 - 2770*l - 1200 = 0.\nAnswer: -2, -1, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (7 + 7 + (-16 - (-24 - -19))) - 164?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 304 - 303.6. Let i be 8\/6*(-2)\/16. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 45*n + 146 = -46*n, -97 = -2*y + n. What is the remainder when 174 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 15*a**2 - 4. Let w be -20 + 23 + (2 - (-266)\/2). Suppose 0 = w*m - 145*m + 105. Determine c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40862 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -68394*x. Let g(m) = -2*m**2. Calculate l(g(y)).\nAnswer: 136788*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/((-51)\/(-68))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (464 - 245) + -220 + (1 + 1 - (0 + 33))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 4 + (0 - (14 + -14)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 946926 and 2450736.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = -7409*z + 7281*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 divided by -1875?\nAnswer: -229\/1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1213465815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(363) - (sqrt(363) + -2*sqrt(363) + -5)) + 2)**2.\nAnswer: 308*sqrt(3) + 1501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*l**3 - 352\/3 + 85\/3*l**2 - 1387\/3*l.\nAnswer: (l - 11)*(l + 32)*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51759893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 9 + 65 + 4769*u as m*u + p and give m.\nAnswer: 4769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a centimeter in millimeters?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.161904 litres?\nAnswer: 5161.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:04 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**3*q**2 + 9*g**3 - 15*g + 53078*q**2 + 388*q wrt q.\nAnswer: -10*g**3 + 106156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205 by -30939.\nAnswer: -205\/30939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 31*m = -30*m + 26, 4*k = 5*m + 42 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 565 = 3*s + 120, a = 5*s + 117. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*l + 25, 4*p - l + 718 = 711 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 28. Let q(m) = 5*m**2 - 12*m + 4. What is the units digit of q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-6)\/15)\/1)\/(5 + -2). Which is the biggest value? (a) f (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*-15)\/(-3))\/(5\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 563.93 - 569. Let t = -0.07 - u. Let i = -4 - -4. Which is the second smallest value? (a) -5 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c**2)*(5*c**3 - 9*c**3 + 7*c**3) + (-2 - 2*c + 2)*(0 - 2*c**4 + 0) + 2*c**2 - c**2 + 5*c**5 - 4*c**5.\nAnswer: 11*c**5 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5853*m**3 - 5017*m + 91. Let w(y) = 2927*y**3 - 2510*y + 42. Let g(s) = -6*q(s) + 13*w(s). Find the second derivative of g(u) wrt u.\nAnswer: 17598*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((0 - -5) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27\/(-2)*280\/(-210) and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15710, -0.2, -298, 1\/3 in descending order.\nAnswer: 1\/3, -0.2, -298, -15710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 13. Let a be f - (0 - 1 - 1). What is the greatest common divisor of 45 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7 - 11 + 4. Let v(j) be the third derivative of -j**6\/120 - j**5\/60 - 14*j**2. Calculate o(m) + 2*v(m).\nAnswer: -m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 69*i**3 - 13*i**2 - 57*i. Let s(v) = v**2 + 2*v**2 + 14*v - 92*v**3 + 75*v**3. Let a(d) = 6*g(d) + 26*s(d). Find the second derivative of a(o) wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.9 + -2.1. Let w = -36.88 - t. Let z = -0.1381 + w. Round z to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + 0 + sqrt(176)) - (4 + ((sqrt(33)*2)\/sqrt(3) - sqrt(396)*1)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 103.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 377 and 143?\nAnswer: 4147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 5*b**2 + 13*b + 4 + 2*b**2. Let r(j) = -j**2 + 5*j + 2. Let v(p) = 15*r(p) - 6*x(p). Let v(z) = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -7, -6\/11, -2\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 266 - 264. Suppose -4*z + x*z - 12 = 2*d, -5*z - d = 10. Which is the smallest value? (a) 2\/47 (b) z (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 478?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 585 by 8096.\nAnswer: 585\/8096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -10) + 34 - -9\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 1748355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -453*x**4 + 26*x**3 - 58013*x**2 wrt x.\nAnswer: -10872*x + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + v + 1 = 0, 3*v = -c - v - 13. Let d(y) = y**3 - y**2 - 12*y + 6. Let i(h) = -h**3 + 2*h - 1. Let a(g) = -d(g) - 6*i(g). Calculate a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 11. Which is the closest to s? (a) -3 (b) 0.6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - m = 2*h + 12018 - 12074, 0 = 3*m - 3 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331*o*r**2 - 2*o*r*u - 240*o*r + 2*o*u - 15*r**2*u wrt r?\nAnswer: -662*o - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1565.805 millilitres to litres.\nAnswer: 1.565805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = i + 4, -28 = -2*y + 3*i - 8*i. Suppose -4*l = -4*s + 32, 0 = 2*l + 12 - 4. Suppose -2*h - b = 4*b - 45, s*b + y = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (90\/36)\/(-1 + (-34)\/(-24)). Let o(m) = -m**2 + m + 3. Let r be o(0). Solve u = -3*g - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59493652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -2\/9 (c) -944 (d) 5 (e) -64\/25 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242727, -485456, -728185, -970914?\nAnswer: -1213643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-9)*558\/124. Let o(i) = -18 - 8 + 21*i**u + 26. Let y(q) = q. Determine y(o(c)).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51837457 is divided by 6479680?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8)*-1) + sqrt(13) + -4*(sqrt(39)\/sqrt(3) - sqrt(13)))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + s, 4*p = s - 2*s - 3 - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22602*-29412.\nAnswer: 6647.70024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -4 (c) -5\/3 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ba2 - 10?\nAnswer: -bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - (-20 - 12\/6). What is the second derivative of a*g**5 - 74*g - 11*g**5 + 6*g**5 + 6*g**5 wrt g?\nAnswer: 340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.3 - 6.404. Let v = a + 0.103877. Round v to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**14\/p)*p)\/p**(-14))**(11\/2)\/(((p**1*p)\/p)**(-2\/117)\/(p**(2\/19)*p**(-6\/11))) assuming p is positive.\nAnswer: p**(786257\/48906)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhhddlhdemhdphhmhdd. What is prob of picking 1 e and 1 h?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 5*z + 56 = -38*c, -2*c + 2*z = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 9*c + 6. Suppose -3*g + 3 = w + 2*g, 13 = w - 5*g. What is the least common multiple of n(w) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82597 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 9:37 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 3*o**2 + 60*o + 53. Does 6 divide x(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7299376 divided by 1042768\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-2) + (-2)\/(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88023.\nAnswer: 3, 13, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -4854 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Suppose -2*k = -c + i + 6, 0 = 5*c + 4*k - 3. Suppose g + 3*x - 11 = -0*g, -5*g = c*x - 55. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1143064\/11*s + 1516\/11*s**3 - 2\/11*s**4 - 290298\/11*s**2 - 1137032\/11.\nAnswer: -2*(s - 377)**2*(s - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 b when three letters picked without replacement from {b: 2, u: 2, c: 2, a: 2, t: 1, h: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 + d**2 + d. Let u(o) = -7*o**3 - 2*o**2 - 2*o. Give 5*g(q) + 2*u(q).\nAnswer: q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132180 to the power of 1\/2, to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((324\/(-2808))\/(2\/8*2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 385 (base 14) to base 12\nAnswer: 4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*z + 6*z + 2 = 0, 0 = 3*z - 3. Let o(c) = -3*c - 4. What is the lowest common multiple of o(w) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*z - 6. Solve o = z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4453*z - 4447*z - 132438 = 0. List the prime factors of z.\nAnswer: 22073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931223 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361, -1313, -2899, -5119, -7973, -11461, -15583?\nAnswer: -20339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2*x + 1. Let i be v(-1). Suppose i = d - 2*d + 11. Let g(f) = -8*f - 15. What is the lowest common multiple of g(-2) and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 4*j - 1. Let m be f(2). Let p(l) = -l + m*l - 2*l + l**2. Let y(n) = -2*n - 4*n + n. Calculate y(p(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302310237 a multiple of 5143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*o - 2 = -0, -6 = 4*i + 2*o. Let w be (0 + (i - -3))*1. Let l be ((-2)\/(-3))\/(15\/9). Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*o + 4*o = -1126, -2*a + 1126 = 3*o. Suppose -3*i = 2*i - 5*k - 2815, i = 4*k + a. Suppose -3*c + 40 = -i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210223 - -2?\nAnswer: 210231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a factor of 1549945620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 4*s = -218, 2*c - 6*s + 10*s = 46. Let p(l) = l**3 + 5*l**2 - 4*l + 3. Let b be p(-6). Let a = 23 - b. Is a not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*x**4 + 1441*m + 164*x**4 wrt x.\nAnswer: 8*m*x**3 + 656*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1762147896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -21*z**2 + 54*z + 6. Let k(u) = 42*u**2 - 110*u - 10. Give 3*k(q) + 5*n(q).\nAnswer: 21*q**2 - 60*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1.33 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*m**2*p**4 + 10*m**2*p**3 + 548*m**2*p wrt p.\nAnswer: 132*m**2*p**2 + 60*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-280)*(28 + -18).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3521*w + 13 + 1760*w + 1768*w - 2*w**2 + w**2. What is y(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6440 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -29484*s. Let l(q) = 5*q. Determine l(p(k)).\nAnswer: -147420*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*-1*4\/6. Let b be 8\/2*n\/(-88). Sort -4\/5, b, -3 in descending order.\nAnswer: b, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13351.4 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4585500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aa961 (base 12) to base 16.\nAnswer: -73ed9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 - 28613\/153. Let a = z + 167\/1071. Let 2\/7 + 3\/7*x**2 + 1\/7*x**3 - a*x**4 - 5\/7*x = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 1 - 0\/(-2). Let s = 0.083 - -0.017. Which is the closest to s? (a) 4 (b) 2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/5 - o**4\/12 - 5*o. What is the third derivative of u(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508471.6 litres to millilitres.\nAnswer: 508471600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = j - 3*m, 2*j + 12 = 4*m. Is -2*194\/j - 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1077, -1074, -1099, -1158, -1257, -1402?\n\"Answer: -l**3 - 8*l**2 + 34*l - 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2.7, 0.3, -0.3, 0.4, 2\/9, 2, -547?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 37*j**2. Let w = 157 + -122. Suppose -38 = -w*y + 33*y. Let a(g) = -50*g + 32*g + y*g. Give z(a(l)).\nAnswer: 37*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 v when three letters picked without replacement from {h: 1, a: 5, v: 3, b: 1, f: 2, d: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 18*z**2 - 37*z + 2. Give n(-16).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 < 4\/339311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**4\/24 - x**3\/6 + 12*x**2. Let i(y) = -4*y - 5. What is -i(f) + 5*o(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3) - -4 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 5 - 5)*(-819 + 274 - 916)*(-5 + 3 + 1).\nAnswer: -7305*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) 2\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6549761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 0.5 (c) -5\/2 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549 by -64.\nAnswer: 549\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h**3 - 1 - 28*h + 4189*h**2 - 2089*h**2 - 6*h**3 + 0 - 2099*h**2 to i*h + b*h**2 + w*h**3 + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.053 + -0.047. Let d be (-72)\/(-105) - (-2)\/(-7). Which is the nearest to s? (a) -1 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + -1c?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038200 rounded to the nearest ten thousand?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385800, -385801, -385802, -385803?\nAnswer: -385804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1780363, -3560540, -5340717, -7120894, -8901071?\n\"Answer: -1780177*k - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 8*t**2 + 7*t + 22. Let l be f(9). Calculate the greatest common factor of l and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20968*g - 195290 = 1083758 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/sqrt(3))\/sqrt(7) - sqrt(63)*2 - sqrt(84)\/(sqrt(48)\/sqrt(16)) - ((0 + sqrt(112))*3 + sqrt(28) + -1 + 1).\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.328 - 3.528. Which is the nearest to 0? (a) i (b) -3 (c) -0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 12*m + 6. Let s(j) = j**2 + 2. Let a be s(2). Let w(n) = n**2 - 11*n - 5. Let c(y) = a*o(y) + 7*w(y). What is c(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 11*z**2 + 8*z - 39. Let s be n(-12). Solve -2*h - 3*b - 10 = 0, 13*h - b = s*h + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (7 + -7 - (15 - 19)) - -1 - -7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045 plus 1792.68?\nAnswer: 1792.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 991*l**3 - 6*l**2 + 11*l - 4. What is the smallest common multiple of 20 and a(1)?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548540 and 585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/45 and -58\/485.\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 286106644 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u - 3*c + 2030 = 0, 0 = 5*c - 25. Calculate the remainder when u is divided by 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:27 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -0.1. Let f = v + -0.00999805. What is f rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-295*s + 301*s + 14 + 0)*(-s**3 + 338 - 457 - 145) to r*s**3 + w*s + n + l*s**4 + u*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769056407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + (sqrt(704) - (0 + -1 + sqrt(704))) + sqrt(704) + -3 + 2)*1)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 316205208?\nAnswer: 316205208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.26 and -0.0203.\nAnswer: -0.2803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 44*14 - 20\/(-16)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/4 - -3. Let l = -1\/4 - b. Are l and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(2\/7)*u*u)**(-2\/7))**25\/((u\/u**(3\/7)*u\/u**4*u)\/(u**(1\/2)*u)**(-5)) assuming u is positive.\nAnswer: u**(-3195\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(396)*6.\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 14*w = 15. Suppose -2*g + w*a + 133 + 177 = 0, -3*g + 5*a = -475. Is g a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = -5*r + 381. Let v be (-9)\/(27\/r)*(-2 - -1). Let y = -42 + v. Which is smaller: 15\/2 or y?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3268*o - 71*s - 284 = 3273*o, 4*s = -2*o - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*g + 115*g + 331 = 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123023.\nAnswer: 7, 37, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 637*a - 6. Let d(l) = -57 - 466*l + 467*l - 54 + 111. Determine j(d(c)).\nAnswer: 637*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 3725*f - 6. Determine j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(4752)*6)\/((sqrt(704)*-1 - sqrt(11)) + sqrt(275)*-2) + -1.\nAnswer: -72*sqrt(3)\/19 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -2, 4, 0 in decreasing order.\nAnswer: 4, 0, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2782*j - 626014. Give z(225).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(6*k + 3*k - 3*k) + (4*k + 0 - 1 + 5*k)*((3 - 4 + 5)*(-3 + 1 + 4) + 3 - 5 + 3).\nAnswer: 87*k - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 382574879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 0*z)*(z + 2*z - 4*z)*(14 - 5 - 1) + (-2*z + 3 - 3)*(0*z + 5*z - 4*z) + (4*z - 5*z + 0*z)*(5*z + 0*z + 5*z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 7*d**2 + 5*d - 1. Let j(a) = -198*a - 1. Let n be j(1). Let z = n - -193. What is h(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*q**2 - 5943 + 64*q**2 + 5942.\nAnswer: -72*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-5.25.\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3821340392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0732 + 0.5829.\nAnswer: 0.6561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -31438*x. Let h(l) = 23*l**2 - 3*l. Calculate r(h(q)).\nAnswer: -723074*q**2 + 94314*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 7, p: 2}. What is prob of picking 2 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:04 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0 + u - 1\/12*u**4 + 0*u**2 + 5\/6*u**3. Calculate f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5.6. Let d be 9\/(-1)*56\/42. Let x be 5\/2 - 2\/((-8)\/d). What is the biggest value in x, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 7*t + 4*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5063369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5613522 - 4526478. Round w to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/((-4)\/((-37088)\/(-3))) + 5.\nAnswer: 13, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 x, and 1 k when four letters picked without replacement from wxlxllllnlvkxvw?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (78 - 34848\/440)*70\/(-9). Factor -r*f**4 - 36 + 24*f**2 + 40\/3*f**3 - 36*f + 4\/3*f**5.\nAnswer: 4*(f - 3)**3*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 9*i**2 + 27*i - 22. Calculate m(-6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138*b - 140*b + 174*b - 136*b - 124*b)*(2*b + 0 + 0) as o + f*b**2 + h*b and give f.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 6 - 18. Let p(j) = j**3 + 3*j**2 + 3*j + 1. What is the remainder when p(a) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 160*j - 135*j - 150. What is the greatest common divisor of j and 1731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*t + 10, -33*o + 4 = -31*o + 2*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-5)\/g)*g)\/(g*g*g**(-2\/13)))\/(g**(-1\/2)*g\/(g*g**3)*g) assuming g is positive.\nAnswer: g**(225\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 25700 + 41829 = 0. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(29\/(232\/(-20)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2, -0.08, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3413\/2*c - 3411\/2*c**2 - 569 + 1\/2*c**4 - 1135\/2*c**3 = 0. Calculate c.\nAnswer: -1, 1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -17271?\nAnswer: 17276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, b: 2}. Give prob of sequence qqbq.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s**2 + 6*s**2 + 3*s**2 + 19)*(-14 + 16 + 38) + 2*s - 2*s + s**2.\nAnswer: -79*s**2 + 760","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m**2 + 11*m - 27. What is i(4)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10263 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 6*n**2 + 2*n - 2. Let u be ((-5)\/(-4))\/(1\/(-4)). What are the prime factors of b(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59\/4? (a) -79 (b) 0.6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17097*h**3 - 17097*h**3 + 100*h**4 + (4*h**4 - h**4 - 2*h**4)*(-1 + 0 - 4) as a*h**4 + w*h**3 + d*h + n*h**2 + c and give a.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5060416 times -46\nAnswer: 232779136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/126 and -7\/1875276?\nAnswer: 13126932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 642271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*z + 171*z - 7*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6082 is divided by 3041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(1728)*-2 - sqrt(1728) - sqrt(1728)))**2.\nAnswer: 1\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 + -1.2. Let b = -2.8 - z. What is b rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -17*b**3 + 5*b**2 - b - 5. What are the prime factors of g(-2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5 + 1590*o**4 + 14418*o**3 + 43362*o**2 + 43416*o.\nAnswer: -2*o*(o - 804)*(o + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 191, 432, 723, 1070, 1479, 1956, 2507?\n\"Answer: q**3 + 19*q**2 + 177*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188 + 2*m**3 + m - 27*m**5 - 140 - 2*m**3 wrt m?\nAnswer: -540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12262*m**3 + 12250*m**3 - 24520*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 418645714*o + 255765570?\nAnswer: 418645714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j = 35*j + 234. Suppose -9*g + j = -45. Calculate the remainder when 195 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.73 - 0.27. Let p = -12.1 - l. Put p, -3, 5 in descending order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by ((-52)\/8)\/(2\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*((-2 + sqrt(720))**2 + 0 + -4) + 3)*-3.\nAnswer: -144*sqrt(5) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.133910302?\nAnswer: -0.066955151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*w + 2086 = 3975 + 7351 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 15*g**2 + 38*g - 114. Determine n(7).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10202*j - 4 + 2 + 2.\nAnswer: -10202*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(21\/((-5670)\/30))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b + 15. Suppose -b*u + 2*u = -125. Let o = 11 + -2. What is the remainder when u is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3344 - 296. Let p = 541 - l. What is the smallest common multiple of p and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196\/(-115) + -3*((-48)\/(-15) + -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Suppose 4*v - 5*c + 111 = 0, j*v + 3*c = -2*c - 105. Which is bigger: v or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 19*u - 87. Let i be f(12). Which is the nearest to 0.3? (a) i (b) -1\/6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/45 and -73\/260?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3333401 (base 5) in base 8?\nAnswer: 162351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 72 - 300. Let r = 207 + j. List the prime factors of r.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -56. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 18*c**2 + c + 11. Is x(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 0, 0.1 in decreasing order.\nAnswer: 0.1, 1\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 2001958?\nAnswer: 2001953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1047\/1246 + -3\/178. Find the common denominator of 56\/5 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183023588.\nAnswer: 2, 11, 4159627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let b(j) = 2*j + 16. Calculate -b(r) + 3*y(r).\nAnswer: r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (286\/4 - 4)\/(1\/(-323290)). Let i = 1577925 - v. What is i rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 + -155. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -41. Is (t + (2 - 3))\/((-2)\/1553) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -k + 6*u + 61, 0 = -4*k + 3*u + 192. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/7*(-8813)\/50360?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 15292920*y + 58468350531600.\nAnswer: (y - 7646460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - (-4092)\/(-165))\/(18\/(-100))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 17. What is the tens digit of p(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27688736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -639, -5768, 2 in ascending order.\nAnswer: -5768, -639, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -1.947\nAnswer: -1.1682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -408\/5 or -82?\nAnswer: -408\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 5*(-3)\/3. Let v(o) = o**3 + 4*o**2 + o - 3. Let k be v(j). Solve -3*a + k = 18, 4 = -y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4 + 1)*4. Suppose 4*i + u*m - 122 = -870, -2*m - 560 = 3*i. Let g be i\/(-20) - (-6)\/(-15). Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1549.48 + 899888343.\nAnswer: 899886793.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*z + 2*j + 1, 0 = 3*z - j + 6. Let n(k) = 12*k**2 + 5. Let x = -275 + 275. Let l be n(x). Put l, z, -6 in increasing order.\nAnswer: -6, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 3*n + 5 + 7 + n**3 - 2*n**2 to the form i*n**2 + k*n + s + u*n**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5054103 (base 6) to base 13\nAnswer: 85707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -14\/502793?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t - 5. Let q(d) = -4*d + 2. Let o(p) = -8*q(p) - 3*w(p). Let c = -6 - -7. Determine o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 1 + 6*m - 4*m**2 - 15*m + 9*m to the form j*m + r*m**3 + o*m**2 + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**2 + 29\/56*o**8 + 0 + 0*o**6 + 67*o + 13\/3*o**4 + 0*o**3 + 1\/21*o**7 + 0*o**5. Find the third derivative of t(n) wrt n.\nAnswer: 3480*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 793*z - 49357. What is o(58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16117 greater than 14597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -10. Let j = f - 2. Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1152 + -239. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/(281\/((-264140)\/40984))?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1513*h**4 - h**2 - 807.\nAnswer: 36312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3980094031.000000275 + -3980093916. Let r = -115 + z. What is r rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*t + 26 = 116, 4*t = 2*v - 72. Suppose -4*n + 5*n + 22 = -5*w, -v = -5*n + 5*w. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (314\/27)\/(1408\/192) - 2 and (-1)\/((-363)\/177 + 2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3345396 and 27508?\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 314?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 13 + 8. Find the second derivative of -t + k*t + 0*t + 2*t + 22*t**5 wrt t.\nAnswer: 440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -37. Suppose 3*l + 0 + 6 = n, -2*l - 30 = -j*n. Let o be n\/(-4) - 84\/(-8). Solve 0 = 4*a - a + o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 30. Suppose 0 = k - 5*m + 6, 0*k + k = -3*m + d. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.644692*3\nAnswer: 16.934076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408417747 to the nearest integer?\nAnswer: 20209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6721*x - 114109. What is l(17)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 388*j - 721. Let x(b) = -141*b + 240. What is 11*x(n) + 4*y(n)?\nAnswer: n - 244","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 6*f - 2. Let o be u(5). Let q be (1 + o)*1\/(-3). Let i(v) = 5 - 2*v**q - 5. Let w(l) = -2*l. Calculate w(i(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10183130 and -0.054.\nAnswer: 549889.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33553600 or 33553587?\nAnswer: 33553587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5427775*b**3 + 64 - 64 - 5427776*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b - 2. Let j be r(-3). What is the greatest common factor of 110 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*l + 18, -o - 4*l = -8*l. Calculate the remainder when (-544)\/(-4) + (120\/18 - 2\/(-6)) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828313377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - ((-11)\/6 - 0). Let c = 7 - -278. Let f = -290 + c. What is the second smallest value in f, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {k: 5, f: 4, y: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 38 = 3*g. Solve 2*h = -h + 9, -2*h + g = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 11:24 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72416.1km to nanometers.\nAnswer: 72416100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -47899 > -4286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 95382052 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: What is 3152315975 to the power of 1\/2, to the nearest integer?\nAnswer: 56145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -81, -82, -77, -60, -25?\n\"Answer: c**3 - 3*c**2 + c - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) 0.2 (d) -2 (e) 5\/4 (f) -2\/413\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406184?\nAnswer: 2, 50773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/260 and 1\/32534?\nAnswer: 4229420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Let v(b) = 4 + 0 - 1 - 1 + 5*b - 4*b**2. Let j(m) = -7*m**2 + 9*m + 5. Let p(w) = k*j(w) - 5*v(w). What is the second derivative of p(n) wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-5 + (2*(sqrt(2057) - (sqrt(2057) + -1*sqrt(2057))) - 4*(sqrt(2057) + 0)) + -1))**2 + 3)*-2.\nAnswer: -66118 - 2112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250 - -545. Let k = -195 + h. Calculate the remainder when k is divided by (-1*(-2 - -41))\/(129\/(-86)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let t(i) be the second derivative of -2*i**3\/3 - 10*i. What is t(d(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 20681*o\/2 - 427703761\/4.\nAnswer: -(o + 20681)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 87 = -23. Suppose -2*a + 0*a = -n. Suppose 7*w - 246 = -5*t - 4*w, -138 = -3*t - 5*w. Calculate the smallest common multiple of t and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 916*q**2*r**3 - q**2*r**2 + 6*q**2*r - 5*q**2 - 2*q*r**2 + 4*q*r + 29*r**3 + 36*r - 175 wrt q?\nAnswer: 1832*r**3 - 2*r**2 + 12*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6480567044 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((52*n - 73 + 73)*(-4*n + 5*n + 13*n) - 3 - n**2 + 3)*(-n**3 + 3*n**3 + 0*n**3).\nAnswer: 1454*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 0.39248 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 94, 146, 212, 298?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:12 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 7*u**2 + 7*u + 11. Is k(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2730)\/(-78) + -4 + -7\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 3\/(-3) - 3. Let p = 15600 - 15499.09. Let i = p - 101. Is i greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(32) + sqrt(1152)*-1 + (sqrt(8) + sqrt(8)*2*-4 - (1 + sqrt(200))) + 2)**2.\nAnswer: 88*sqrt(2) + 3873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 11:19 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49\/6 in 1\/10, 9, 7, -239?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*p - 4, -p = 3*i - i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/42)\/(3610\/285)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3855349 meters in centimeters?\nAnswer: 38.55349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9268\/44421 - -4\/1139. Let d = f - -20\/13. Let l = 11 + -21\/2. What is the second smallest value in l, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x)\/(x**(3\/2)*x)*(x*x**(-4)*x)\/(x*x**2\/x*x))\/((x\/(x**(-3\/2)*x))\/(x**(-4\/7)*x))**(1\/3) assuming x is positive.\nAnswer: x**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -364.3725 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43, 82, 119, 154, 187, 218, 247?\n\"Answer: -i**2 + 42*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(441)\/sqrt(7)*4)\/(-3*sqrt(45)\/sqrt(5)) + -5) + 4)**2.\nAnswer: 152*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*q**2 - 2*q**3 + 666*q**2 + 731*q**2 + 736*q**2 - 2865*q**2.\nAnswer: -2*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 13 and 21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2 - 4. Let c(z) = -48*z**2 + 27. Suppose -2*m = -6*m + 108. Let x(s) = m*t(s) + 4*c(s). Let g(r) = -2*r. What is x(g(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**17\/o*o)\/o**(6\/17))**(2\/117) assuming o is positive.\nAnswer: o**(200\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 48236?\nAnswer: -11\/48236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 2. Let b = 0.59 - 5.87. Let u = 1.72 - b. Sort 3\/2, w, u in increasing order.\nAnswer: w, 3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20317, -82026, -184877, -328870, -514005, -740282, -1007701?\n\"Answer: -20571*f**2 + 4*f + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.21 - -6.41. Which is smaller: 2352 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.266*1.\nAnswer: -1.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -13*u**6\/60 + u**5\/60 + 53*u**4\/6 - 54*u**2. What is the second derivative of b(f) wrt f?\nAnswer: -156*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323330122 (base 4) to base 2.\nAnswer: 111011111100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -41020000 to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 2.12316849.\nAnswer: 5.12316849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394741736*g**3 - 2*g**2 - 201137450*g - 2.\nAnswer: -2368450416*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1379.711 + -1380. What is z rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2124 - 11060?\nAnswer: -5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5093, -5002, -4847, -4628, -4345, -3998?\nAnswer: -3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17037937 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. What is f in -11*f**2 + 16*f**y - f**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 126*j**3 - 56*j**2 + 28*j - 28. Let w(y) = 14*y**3 - 6*y**2 + 3*y - 3. What is 3*i(t) - 28*w(t)?\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 619844568.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2648 and 12?\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2385, 46, -15, -1 in descending order.\nAnswer: 2385, 46, 2, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -51552000 rounded to the nearest one hundred thousand?\nAnswer: -51600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 46*u**2 - 499*u - 177. Give y(28).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uauu when four letters picked without replacement from {a: 6, u: 12}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219640 - -307681. What is the ten thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 1. Let u be v(0). Let i = 84 + -86. What is the units digit of u\/(2*i\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i**5 - 4*i**3 + 4*i**3 + 0*i**4 - i**5 + 0*i**4 + (0*i + 8*i + 10*i)*(0*i**2 + 0*i**2 - i**4) + (4*i**2 - 2*i**2 - 3*i**2)*(-3*i**3 + 3*i**3 + i**3).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**2 - 10*c**3 - 3*c**3 + 14*c**3 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-6) - -15)\/(1 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = -4*s - 8, -5*s - l + 20 = 0. Let y(q) = q**2 + 1. Let h be 2\/5 + 8\/5. Let n be y(h). Solve -5*r + j - s*j - 8 = 0, -20 = 3*r + n*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ac4 - 6?\nAnswer: 1abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7*u + u. Let l(h) = -2*h**2 - h + 1157. Is l(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r. Let a(l) = -11*l. Let h(q) = 41*q. Let g(z) = -62*z. Let s(w) = 5*g(w) + 7*h(w). Let v(u) = -5*a(u) + 2*s(u). Calculate v(k(x)).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -95.\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/2)\/(1\/(-2)). Suppose 7 = -4*i + s*w, i + 5*w = 2*i + 13. Find the third derivative of l**5 + 19*l**i - 2*l**2 - 11*l**2 + 4*l**5 wrt l.\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -26*u - 449. Is u at least as big as -212\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 495928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 - 4*f**3 + 21*f**3 + 34*f**3 + 47 - 17 - 29.\nAnswer: 44*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 256117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1044*p**2*t**3 + 2*p**2*t + 125824*p**2 + 59*t wrt t.\nAnswer: 3132*p**2*t**2 + 2*p**2 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 14. Let o be r(-12). Let j(f) = 2*f**2 - 20*f - 1. Let i be j(o). Let q(m) = m**2 + 2*m - 5. Let b be q(-4). Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4655224.19763 + -4655171. Let o = r + -53.2. Round o to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d*g**3*n**2 - 15484*d*g*n**3 - 2*d*g*n - 2*d*g - 7*g**3*n**3 - 13107*g**3 + 3*g**2*n**3 wrt n?\nAnswer: -92904*d*g - 42*g**3 + 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100\/21 - -35\/6. Let g = j + -11\/7. What is the nearest to g in 0.5, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.8 + -71.8. Let t = -2 + -1. Which is the closest to r? (a) t (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 710 and 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2. Let o(g) = -78*g**2 + g. Give v(o(q)).\nAnswer: 6084*q**4 - 156*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -p - 24, 4*w = -p - 7 - 19. Let m be p\/(-4) + 3\/(-6). Suppose 0 = 2*h - m*h + 42. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 682, 1030, 1382, 1738, 2098?\nAnswer: 2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2 + 781*u + 1558 = 0.\nAnswer: -779, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*i, 3*i - 147 = 2*q - 122 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.022 * -16185.4.\nAnswer: 356.0788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:36 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -29*v**2\/2 - 3*v - 105. Let z(j) = -3*j. Calculate a(z(i)).\nAnswer: 87*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = a - 5*t, 2*t + 6 = a - 2*t. Suppose 0 = -2*s - 3*d + 4, 0 = -5*s + a*d + 17 + 31. Let g(k) = -k. What is g(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 2*u - 8*u)*(2 - 4 + 0 + (1 + 3 - 6)*(1 + 2 - 4) + 53 - 19 + 36) + 7 - 2*u + 3*u - 33 as o + p*u and give p.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*z = 100*z + 1180. Let p = -292 - z. Solve 2*f - 9 = -u + f, 5*u = p*f + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-1\/8)\/((b*b\/b**(-1\/4)*b)\/(b*(b**(-1\/3)*b)\/b*b)) assuming b is positive.\nAnswer: b**(-41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179.02 + 174. Let w = j - -0.02. Suppose -2*m - 6 = -0*m. What is the nearest to -0.1 in m, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -230?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let h be o(-2). Suppose 3*n = 5*j - 176, -j - 123 = -h*j - 4*n. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + -1 + 32 + (-1 - 13) + 2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d, 0 = -4*p - 2*d + 7*d - 822. Let g = 212 + p. What is the remainder when 61 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686294 is divided by 8074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110244 + -4?\nAnswer: 110240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*d - 4393 + 4413, -4*t = 5*d + 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231320*q**2*w**5 - 205*q**2*w**2 + 4*q**2*w + 8*q*w**2 - 11 wrt w.\nAnswer: 13879200*q**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.254, 0.5, 3, -0.7 in descending order.\nAnswer: 3, 0.5, 0.254, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3900) - (sqrt(3900) + sqrt(3900)*2)) - -5*(-1*sqrt(3900) - sqrt(3900)))\/(-5*sqrt(363)*1*-4).\nAnswer: -2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 0.2, -3, 2.4, 0.1 in ascending order.\nAnswer: -3, 0.08, 0.1, 0.2, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 6 = -k. Let f(b) = -b**k - 2 - 7*b - 4 + 1 + 0. Determine f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let h be (y\/(-1))\/((-2)\/(-12)). Let r(p) = -3*p. Is r(h) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 62*h - 62*h to the form j*h + a*h**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12139299707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 19 = -25. Let r be (72 - 0)\/(b\/6 + 0). Suppose -4*k + r = 5*k. Solve 0 = -6*x + 2*x - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 6*k**3 + 0*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 = -4*b, u + 3 = 3*b + 14. Let w be ((-2863)\/35 + (-2)\/10)\/b. Solve -45*y + 20 = -w*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34 - (8 + 5 + -4)) + -2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:45 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - i + 1 + 7, -4*s + 5*i = 2. Let z be 4*((-25)\/50)\/((-1)\/2). Suppose 0 = -z*q + 10 + s. Let g(l) = -2*l**2 + 5*l - 3. Calculate g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2392 = -463*h - 7240 - 91 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 31*i - 32. Let p be d(-17). Let f(c) = 18*c - 7 - p*c + 7. Let w(a) = -8*a. Let z(v) = v. Let b(n) = -2*w(n) - 10*z(n). Determine f(b(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-372)\/(-42))\/(88\/56).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*o**5\/11 - 138*o**3\/11 - 180*o**2\/11 + 456*o\/11 + 720\/11 = 0. Calculate o.\nAnswer: -3, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 0*c**2 - 6*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = f, 2*f = 4*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*v**2*w**2 + b*v**2 + 49*b*w - 137*b - 4479342*v**2*w**2 - v**2*w + v*w + 12*w**3 + 269*w + 1 wrt w?\nAnswer: 2*b*v**2 - 8958684*v**2 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from ggggvgdgdddddgvdddv.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 6862240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 280.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4 = -2*y, -5*v = -5*y - 7 + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324 - -332. Solve -92*y + 90*y = z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 3*m - 4. Let v be r(-4). Solve u - 1 - 3 = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3699237877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2196\/89 or 26?\nAnswer: 2196\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.633 + -1.4. Let j = 0.0034 - -0.22863. Let p = j - q. Round p to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19)*1)**2*-4.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 14)*(2*o + 0*o + 2*o + 4 + 3*o - 4 + (1 - 3 + 0)*(-2 - 2*o + 2) + 3 + 2*o - 3).\nAnswer: -195*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5197 is divided by 660?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 1, o: 5, g: 3}. What is prob of sequence rgv?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**3 - 6*s**2 - 6*s - 6. Let m(y) = 29*y**3 - 17*y**2 - 17*y - 17. Calculate 6*m(f) - 17*r(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, k: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 17}. Give prob of sequence lll.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -2. Let h = 2.5 + u. Let a = 0.49992 + h. Round a to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2297*b**2 + 4590*b**2 - 26*b - 2289*b**2 + 39*b**3 wrt b.\nAnswer: 234*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -812*a**3 + 3*a**2 + 2*a - 6. Let p be s(3). Let d = -5903 + p. Round d to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2414 + -2416.2. What is the second biggest value in d, 2\/13, -2\/89?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 31 = -v, -5284*v = -x - 5288*v + 45. What is the remainder when 0 + 0 - 0 - -284 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - v - 26 = 16, 0 = 4*i + 2*v - 36. Let b = 64 + -49. Suppose -r - 4*t - 23 = -58, -3*t + b = 0. Calculate the greatest common factor of i and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + 2374. Suppose 9*j - m - 795 = 0. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and (((-30)\/(-4))\/5)\/(3\/108)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, a: 4, e: 2, x: 1}. What is prob of sequence exe?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -152061353 (base 7) in base 15?\nAnswer: -d52468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1933 * 73.72\nAnswer: 142500.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -6 (c) -2\/11 (d) 2 (e) -5 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003834 rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/7 + 632*b**3 - 349496*b**2 = 0.\nAnswer: 0, 1106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/72 and -17\/50598112.\nAnswer: 455383008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from nznnnzzzrnjzznnznrzz?\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 7*n**2 + 7*n - 17. Determine i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*2\/(-3))\/(16\/144). Suppose -4*v - y - 2 = 0, 3*v = -4*b + 10. Solve 2 = -b*u - 2*q, 5*q + 5 = 3*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0.4, 1\/2, -2 in descending order.\nAnswer: 5, 1\/2, 0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*n = -180*n - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 9*w - 4*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*(x\/(x\/x**(2\/5)))\/x*x)*x*x**(-4\/3)*x*x*x*x)\/(x**(-2))**49)**(-30) assuming x is positive.\nAnswer: x**(-3008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -14.\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 243062 - 365462 = 0. Let u = -27632 + p. Round u to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -8 + (13 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-144)\/69 - -2 - (450\/115 - 1). Suppose 0*p = p + 5. Sort b, -4, 4, p in decreasing order.\nAnswer: 4, b, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/438365 or 1?\nAnswer: -6\/438365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q + 2. Let f be z(-3). Suppose 0*i = -5*i + f. Let y = i - 2. Solve -y*a = 2*h + 12, a + h + 11 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1209207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:02 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1006, 2020, 3044, 4084, 5146, 6236, 7360, 8524?\nAnswer: 9734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -237498\nAnswer: -5\/237498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-304)*(-16)\/(-12)*(-54)\/612.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 325?\nAnswer: -31e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5097575?\nAnswer: 5, 7, 29129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3\/3 + 10*k**2\/3 + 65*k\/3 + 50\/3 = 0. What is k?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -46. Suppose -n + 64 = -x. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Factor 4*y**2 - 2*y + 2*y + 4*y + j*y**3 - 2*y.\nAnswer: 2*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68381.77 - 0.0175.\nAnswer: 68381.7525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-18) + (1 - 3). Let b = p + 4\/9. What is the second biggest value in b, 0.3, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -507120 (base 8) in base 13?\nAnswer: -5b31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 6) to base 9.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**5)\/b)\/b**(2\/11))\/(b*b*b**5\/b*b*b**(4\/7)) assuming b is positive.\nAnswer: b**(-982\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**22*y))\/y**30)\/((y**(11\/5)*y)\/y)**(7\/3) assuming y is positive.\nAnswer: y**(-857\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*l + 23182 = 0, -60*l + 59*l = 6. What are the prime factors of h?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016136 rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -20*j**2 - 1464*j - 290. Determine z(-73).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1700) + -5.\nAnswer: -5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 6 - 2)*(u**3 + 67*u**2 - u - 67*u**2) as d*u + l + t*u**2 + f*u**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729 is divided by 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/17 + 64\/85. Sort -3, 3, s in decreasing order.\nAnswer: 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 5*u. Suppose 3*a = 2*i - 5, 21 = -2*i - 5*a - 14. Let r be d(i). Suppose -15 = 3*v, -2*l + 63 = 2*l - 3*v. Solve 3*g + g - l = r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1679\/18 - -187\/2. Which is smaller: r or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 716 times -0.5\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(15)\/(sqrt(25)\/sqrt(5))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232515, -232514, -232513?\nAnswer: -232512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-73619)\/22652)\/(78\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*w = -0*h - 12, -240*h = -240*h + 4*w - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b**4 + 8200398*b**3 - 10558*b**2 - 810*b + 8 wrt b.\nAnswer: -264*b + 49202388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 3:45 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57282643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12833 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 1 + 0 + f + 12*f**2. What is i(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122868 divided by -61434.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 5*u**2 - 3*u - 5. Let c be r(4). Let n be c + 2*(-3 - -5). Let h = 18 - n. What is the greatest common factor of 165 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*l - 5 = l, -2*a = -5*l - 20. Suppose i = 4*b - a - 2, -i = -3*b + 6. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 a factor of 5454957258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -430 - 1445125?\nAnswer: -1445555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*o = 8, 17*u + 22 = 22*u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023087.\nAnswer: 3, 13, 37, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/108 and -109\/84.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26.6 * 872761\nAnswer: -23215442.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 732 and 33489.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*u + c, c + 43 = -4*u - 2*c. What is the units digit of ((-1028)\/5 - u\/(-25))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76565 (base 8) to base 4\nAnswer: 13311311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i + 8. Let q be 7\/(-28) + 1622\/i. Let h = -144 - q. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 9:38 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45703*j - 38904*j - 52760*j - 10702*j - 62766*j.\nAnswer: -210835*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/6*(-18)\/30*-8. Is -5 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0026637 millilitres?\nAnswer: 0.0000026637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9 + 41*o - 17*o - 10*o wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4822608697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418440*c + 2652 = -1418388*c for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-32)\/n*n**(3\/5)*(n\/((n\/(n**(-1\/4)\/n))\/n))**(2\/49) assuming n is positive.\nAnswer: n**(-15881\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 2*w**2 + (1 - 2 - 1)*(2*w**2 - 2*w**2 - w**2) + 2*w**2 - 5*w**2 + 2*w**2)*(-3288*w + 1512*w - 877*w).\nAnswer: -7959*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -27 (b) 789 (c) -1\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -768 or -410?\nAnswer: -768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-9 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -36\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/25))**15*(r*r**(8\/7)*r)**12 assuming r is positive.\nAnswer: r**(1362\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 2*y. Let g be c(2). Suppose -20 = -b - 4*b. Solve 0 = -s - g*t + b*t + 14, 2*t = 5*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*m + 35500, 0 = -5*m + 21 + 4. Suppose -o = -16*x + 8*x. List the prime factors of x.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008252908171 rounded to seven dps?\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (182\/(-49))\/(-13) + 3\/(-14)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2712 divided by -2712.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(700) + 0 + -5 - 6*sqrt(700)*2))**2.\nAnswer: 4400*sqrt(7) + 338900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 1507950.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**3 - i**2 + 2. Let g be 0 + 25 + -19 - (1 - -6). Calculate q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140.86 - 161.86. Which is the fifth smallest value? (a) 0.5 (b) 3\/7 (c) y (d) 3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 4504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 52 + (6 - -33)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2209 + -0.0691. Is t at most as big as -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 1836?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-5 - 11) + -17 + -14.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17)\/(-51))\/(3\/(-18)). Let w(f) = -f + 1. Let r(j) = -11*j**2 + 11*j - 11. What is m*r(u) - 22*w(u)?\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by -3.\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1332.43052 to 1 dp.\nAnswer: 1332.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15922008 and 216.\nAnswer: 15922008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 353994 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 13*z**2 + z + 15. Let f = -4 + -9. Let d be c(f). Let j = -54 + 53. What is the smallest value in j, -0.4, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -323?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 165*j**2 - 6 + 148*j**2 + 0 - 312*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -l - 3*t, -26*l = -29*l - 2*t + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-6)*m)*m**6*m)\/(m**(-5\/4)\/(m**16*m)))**8 assuming m is positive.\nAnswer: m**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 3732 = -550. Let r = 1 + 1. Suppose r*k + 3*w = u, -4*k + 2*w + 134 = w. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 42143?\nAnswer: 42135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.46 + 0.06. Let g = 0.8 + o. Let n = -29.8 + 30.8. What is the closest to 0.1 in -2, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 - 2042876*k - 521667793922 = 0. Calculate k.\nAnswer: -510719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4958847.34000088 + 4958847. Let y = v - -0.34. Round y to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -86. Is (-2)\/(-3) - ((-439588)\/b)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 + (-45 + 39 - (7 - 4))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -460, -884, -1324, -1780, -2252, -2740, -3244?\n\"Answer: -8*f**2 - 400*f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + c - 2*k - 8 = 0, 2 = -k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + sqrt(1900))**2*-4 - sqrt(1900)) + -2.\nAnswer: -7600 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k + 3*k - 185595. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 773*a**7\/210 + a**6\/120 - 31*a**4\/6 - 9*a**3\/2 - 7*a**2 + 2*a - 83. What is the second derivative of g(j) wrt j?\nAnswer: 9276*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(36)\/sqrt(4)) + sqrt(48)*-2.\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6068 + 6188. Calculate the highest common factor of m and 4380.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -36*i**2 - 21*i. Let b(j) = 7*j**2 + 4*j. Let f(x) = 21*b(x) + 4*r(x). Let u(a) = -a. What is f(u(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 14*b + 10. Determine s(-18).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.886852*-0.1.\nAnswer: 1.3886852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 152 = 24*k + 65 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 2:23 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.94 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16595 - -16594.99972477. What is u rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 21410744?\nAnswer: 21410743.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -105, 0.2, -729?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -116, -249, -426, -641, -888, -1161, -1454?\nAnswer: -1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 2 - 7 - -14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 not equal to -714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.478695 decades in centuries?\nAnswer: 0.0478695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 11:07 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 32625. Let r(t) = 2*t. Calculate a(r(q)).\nAnswer: 4*q - 32625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - -22 - (-6 + (14 - -11))) + -12?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a day in minutes?\nAnswer: 21960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656001 is divided by 30109.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let o be (-3)\/((-3)\/k) - -1. Suppose 0 = 5*q - 3*n - 3, -q - 2*n + 7*n - 17 = o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(153)\/sqrt(9) + (-1 + sqrt(153))**2)*-4.\nAnswer: -628 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 13*q - 110. Determine u(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7081099 decades in centuries?\nAnswer: 0.07081099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (266\/(-18))\/(-1) - 36\/(-162). Suppose 2*q - 15878 = -j*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -344 - -15?\nAnswer: -32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*4*(-5*(sqrt(325) - (0 + sqrt(325))) + sqrt(325) + sqrt(325))*-1)**2*6.\nAnswer: 12480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75417 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/14)\/(8\/(-28)). Let z(f) = -f**3 + 3*f**2 - f. What is z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/((s*s**(-16\/7)*s)\/s))\/((s\/((s\/(s*(s*s**(-14\/9))\/s))\/s))\/s))**(-2\/3) assuming s is positive.\nAnswer: s**(-610\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -89\/2 (b) -3\/4 (c) 802 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 13*n. Factor 0 + 2\/7*k**4 + n*k**2 + 0*k + 0*k**3.\nAnswer: 2*k**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3 - 6755960*i**2 - 2852687220100*i = 0.\nAnswer: -844495, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-232)\/12)*(130\/156)\/((-30)\/(-54)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.6 and 2.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (104\/12)\/((-33)\/(-9)) and 35\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4) + 0 - (-341)\/(-2046).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) 0.5 (c) 4 (d) 2\/11 (e) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 158582, 633705, 1425576, 2534195, 3959562, 5701677?\n\"Answer: 158374*t**2 + t + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -42\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**2\/2 - 6*f + 8. Let z = 20 - 30. Let a be d(z). Solve 3 = a*c - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 5*o + 957. Let h = -33 + o. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**(6\/11)\/(t*t*t*(t*(t\/t**(-3\/7))\/t)\/t*t**1) assuming t is positive.\nAnswer: t**(-1621\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4*((-7)\/2 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 6*l**2 + 3*l + 12. Suppose 3*v + 49 = 10*v. Let y(f) = -6*f**2 + f**3 + 2 + 3*f + 14 - 3. Let m(z) = v*h(z) - 6*y(z). Calculate m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -7. What is the closest to q in 0.1, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.20021 and 183.\nAnswer: 36.63843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -150 + 35b465?\nAnswer: 35b315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 649414193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*n + 5*y - 110, 5*n = 72*y - 74*y - 25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 - 32*b**2 - 512*b + 5236. Determine r(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.090488 litres in millilitres?\nAnswer: 1090.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20087 + 41020 + 4101 = -1144*u for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1, -3, 33385 in ascending order.\nAnswer: -3, 1, 3, 4, 33385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0879, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -355\nAnswer: -4\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -20\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 22*d - 34. Calculate the lowest common multiple of 18 and a(20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 32650523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/8*(-2 - 4). Let w(r) = 3*r**2 + 5*r - 4. Does 10 divide w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 707353*f**2*n + 17*f**2 + 2*f*n + 38*f - 217311*n + 1 wrt f.\nAnswer: 1414706*n + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12346.7 - 12347. What is the fifth biggest value in -0.059, 0.3, j, 0.2, -0.05?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(4\/1)\/(-12). What is the tens digit of h + (11 - 3) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 20. Let x = -15 - p. Is 0.2 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 109?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-924)\/198*(-6)\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 4*j**2 + 4*j**2 + (-2520 + 2520 + 104*j)*(1 - 1 + 4*j).\nAnswer: 417*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 times 252?\nAnswer: -24444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 21239*f + 63708.\nAnswer: (f + 3)*(f + 21236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 16, 3, 2, 0, -3 in ascending order.\nAnswer: -84, -3, 0, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 + -0.8. Suppose 20 = -5*l - 5*j, j + 4*j = -l - 8. What is the third biggest value in l, 0.3, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -140\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1aa - 180?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 (base 11) in base 14?\nAnswer: -10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49931 is divided by 1187?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 12 - 21 = 36. Solve 4 = -2*u + 4*q, b*u - 12*q = -9*q - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -7*r**5\/48 + 65*r**4\/96 - 5*r**3\/4 - 5*r**2\/2 + 30*r. Let u(x) be the first derivative of v(x). Let u(h) = 0. What is h?\nAnswer: 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 217795 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 28*o - 10. Let z be v(-11). Solve -25 = -10*g + z for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7. Let r = 0 - 1. Is c <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4213.8 + 3285. Let h = i + 928.3963. Round h to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from {p: 2, v: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -36*x**3 + 14*x**2 - 45*x - 24. Let w(c) = -18*c**3 + 7*c**2 - 23*c - 13. Let t(u) = 11*w(u) - 6*y(u). Is t(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = -4. Suppose -m = 4, v*d + m - 6 = -0*d. Calculate the remainder when 9 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 8. Let w be (-3)\/(-2) + i + -3. Sort 1\/2, 7\/2, w in decreasing order.\nAnswer: 7\/2, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9028 - -9032.047. Let d = j - 0.047. Let x be 1\/(-2) - 72\/(-80). What is the closest to x in d, -4, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -813 = -5*k + 4*l, -4*k - l + 675 = 4*l. Suppose -7*s + 12*s = k. Calculate the remainder when 2*24*(1 - -1) is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 + 4*m + 211. Let d be f(-8). Let t(b) = 2*b**2 + 25*b + 5 + 1 + 16. Let q be t(d). Solve 0 = -5*w + q - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.5 - -19. Let v = 12.50000073 + r. What is v rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21222, 19919, 18616?\nAnswer: 17313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-7)\/14*(-4)\/(-18))\/((-1904)\/816).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 36*t + 144. Let a = -4058 - -4054. Give b(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 208 - 802 = 0. Let c = m - 15. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85571.2 micrometers to millimeters.\nAnswer: 85.5712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1278712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from yyyryxraxarxar.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/((j**(1\/2)*j*j)\/j))\/j))\/j)**(-36)\/(j**(-2\/5))**(19\/2)*(j**6*j*j**4*j)**49 assuming j is positive.\nAnswer: j**(2689\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4704*v - 18163. What is q(4)?\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4\/2 + 221425*h**3 + 221340*h**2 - 7306785*h + 27899235\/2 = 0. What is h?\nAnswer: -88569, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 4}. What is prob of sequence ess?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1293, -1273, -1253, -1233, -1213?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 3*w + 2. Let x = 13 - 16. Let p(l) = -4*l**2 + 5*l - 3. Determine x*p(k) - 5*m(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 512 by -650947.\nAnswer: -512\/650947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/21*(-210)\/(-9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-19 + 6 - 6) + (-2 - -11) + 73.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*z**2 - 8 + 2 - 40*z**2 - 39*z**2.\nAnswer: -25*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40452?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*(-12)\/9. Suppose -15 = s*u - 39. What is the highest common factor of 18 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 18\/(-4). Suppose j*m + 6 = 2*m. What is the units digit of (-7)\/m*(-2)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/131 and (2 - (1 + -1)) + (-78)\/(-130).\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*d - 744 = 272*d. What is the least common multiple of 2269 and d?\nAnswer: 18152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/((-4)\/80). Suppose -w + n = 3*w. Let c = 10 - w. Solve h - c*o + o - 9 = 0, 5*o = h - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*sqrt(24)\/sqrt(3) - (sqrt(8) - (sqrt(968) - 3*sqrt(968))))\/(2*(sqrt(64)*1 - sqrt(64)) - (sqrt(64) - -4*sqrt(64)*1)).\nAnswer: 9*sqrt(2)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/88 and -31\/18.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(-88*k - 366 - 4*k**2 + 368 + 2*k) in the form q*k + p + b*k**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 6*s = g + 5, -4*g = -2*s + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 4*s + 234. Let b(h) = 8*h - 56. Let j be b(s). Let i = 3 + 3. Calculate the greatest common divisor of i and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-45)\/27)\/(10\/(-12)). Let o(c) = -19*c + 635. Let v be o(34). Sort v, f, 3.\nAnswer: v, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r - 3*w = -38, 4*r = 3*w - 107. Let k = -23 - r. Let f(p) = -2 + k*p + 3*p**3 + 1 + 2*p - 7*p**3. Determine f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501, -507, -513, -519?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 3*s + 2. Let t be n(2). Let h(j) = 0*j + t*j - 5*j. Let f(y) be the second derivative of -y**3\/3 - 18*y. Determine f(h(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 21 = -3*r. Suppose 8*a + 689 = 5*x + 11*a, 9*x - 3*a - 1215 = 0. Calculate the highest common factor of r and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-38 + 24 + 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 3*d**2 + 8*d + 5. Let n be h(-5). Let m = n - 15. Suppose 3*c - c = -2*z - 2, -3*c + z + 9 = m. Solve c*a - 12 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**3\/3 + 3*a**2\/2 - 2*a + 19. Factor l(w).\nAnswer: -(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-219)\/45 - -5 - 176\/(-30). Calculate the highest common divisor of o and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -217697151 and -217697149 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Let i be (-3 + 0 + 1)*g\/(-2). Sort 1, i, 5.\nAnswer: 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 2 + j + 0*j)*(4 - 3 - 5)*(-38 - 7 - j + 3*j) to the form z*j**2 + x*j + h and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 4*j + 9. Let w be r(4). Let q(z) = 2*z**2 - z + 4. Let t(p) = p**2. Let s(v) = -q(v) + 3*t(v). Let y be s(-3). Solve -y*k - w = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6341\/5 or -1\/37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 4, 9, -5 in increasing order.\nAnswer: -5, -2, 4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 192934 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w - 24 + 24 + (0 + 3 - 2)*(w + 2 - 2) - 3 + 172*w + 5*w - 30*w to the form n + i*w and give i.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a7 (base 16) in base 4?\nAnswer: 112213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -37. What is the lowest common multiple of 8 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3863, 3, 1, -14 in descending order.\nAnswer: 3863, 3, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -9*l**5\/40 + 7*l**4\/2 + 5*l**3 + l + 41. Factor i(v).\nAnswer: -3*v*(v - 10)*(3*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.68 + 0.58. Which is smaller: n or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 1, g: 2, s: 1, v: 1, w: 1}. What is prob of sequence vo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-472)\/(-59)*14\/8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3852 divided by 6.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkcikkkkkk?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -175, -264, -353, -442, -531?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53502236.2035 minus 0.02?\nAnswer: 53502236.1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293277 smaller than 2293277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3490 and 3839.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -46\/8942933 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 64930*p - 30430*p + 3 - p**2 - 34497*p - p**2.\nAnswer: -2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 293\/2 - 151. Let h = 9\/68081 + 120911163\/5242237. Let s = 315\/11 - h. Find the common denominator of l and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0, -150\/11, -4, -0.1 in descending order.\nAnswer: 1\/7, 0, -0.1, -4, -150\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17 + 259*z - 43*z**3 - z**2 - 259*z wrt z?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-312)\/(-7))\/((-17)\/(4998\/12)). Is t greater than -1090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 215*j = -210*j - 19, -2*j = 4*q + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -22*s + 1784. Calculate the least common multiple of 48*1\/(-1)*-1 and m(80).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 580, 2489, 5678, 10141, 15872?\n\"Answer: -g**3 + 646*g**2 - 22*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 24283272*g.\nAnswer: 2*g*(g - 36424908)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 13*o - 55. Suppose -o*p - 2*l = -3*p - 12, 0 = -p + 2*l. Solve 0 = -a - p + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*g = -15, 34*p = 38*p + 3*g + 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -8d42c5?\nAnswer: -8d42ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t**2 + 7*t - 9. Let g(s) = 10*s**2 - 10*s + 13. Let f(a) = -2*a**2 - 25*a - 57. Let k be f(-10). Let i = 1 - 6. What is i*g(u) + k*h(u)?\nAnswer: -u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1511*u**3 - 353*u**2 - 40*u - 3421 wrt u.\nAnswer: -9066*u - 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2323332 (base 4) in base 10?\nAnswer: -12030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-4))\/(2\/(-12)*-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22, -5, -4, 1\/210, -8\/67 in increasing order.\nAnswer: -22, -5, -4, -8\/67, 1\/210, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s - s + 28*s**3 + 7*s + 7*s - 36*s**2.\nAnswer: 4*s*(s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 63*x**2 - 986*x - 177. Let b be o(31). Suppose -3*f = 12, -a = -5*a - 5*f - 4. What is the greatest common divisor of b and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**6\/6 - 9*s**4\/4 - 4*s**3\/3 + 6*s**2 + 61. Determine t so that j(t) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27095 is divided by 1007?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u + 12. Let l(i) = 6*i - 10. Let w(s) = -5*g(s) - 6*l(s). Let x(c) = -143*c + 2. Determine x(w(q)).\nAnswer: 143*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from hhkhhhhhkhhkkhhhkhh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 18 = -2. Suppose u - 16 = -q. Solve -5*o = q + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.20459464 rounded to three dps?\nAnswer: -18.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 4*k**2 + 4. Let v be o(-4). Let w(p) = -5*p**3 - 2*p + v*p**3 + 5*p**2 - 7 + 8*p**2 - 5*p**2. Does 14 divide w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**3 - 5*s**3 - 3*s**2 + s + 11*s**3 to i*s**3 + k*s**2 + b*s + y and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5160\/(-2100) + (-8)\/7. Let q be 2\/(-2)*(-1 - -5). Which is bigger: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.391 - -117099866.2?\nAnswer: 117099872.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/54*189\/45.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 6. Let m(w) = w - 1. Let g(p) = 3*m(p) + q(p). Let k(l) = 2*l - 4. Suppose 5*z + 20 = -2*j + j, -3*j + 20 = -z. Determine z*k(a) - 6*g(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-10 - -17) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -102*f**2 + 136*f. Let s(m) = -20*m. Calculate s(y(i)).\nAnswer: 2040*i**2 - 2720*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:17 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22919969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -120?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57057?\nAnswer: 3, 7, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.10000239 - 54.1. What is t rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*f + 95*f + 480. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186638.\nAnswer: 2, 3, 197773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4244911.94 - 4225208.94035. Let v = -19706 + p. Let z = v - -3. Round z to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/9 and 1953\/(-360) + 2 + 5?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 2. Suppose 4*x = 7*x - 33. Let m be l(x). Calculate the greatest common factor of 65 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -176.85?\nAnswer: 181.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825 - 3598 = -1406*i + 1347*i for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + p - 14 = -2*v, -56*v + 17*v + 4*p = -31*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000518 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:21 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -115*q + 261. Let i be y(2). What is the greatest common factor of 93 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100043, -100042, -100041, -100040, -100039, -100038?\nAnswer: -100037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*202\/((-2)\/198*-12) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - d**2 + 3 + (4*d**2 + 7*d**2 - 5*d**2)*(1 - 2 + 0) + (2*d + 0*d + 7*d)*(2*d - 2*d - 3*d) + 3*d**2 + 3*d**2 - 3*d**2.\nAnswer: -31*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177 - 183. Let r(p) = 11*p**2 - 3*p - 4. Let c(g) = 18*g**2 - 7*g - 9. Let h(x) = 3*c(x) - 5*r(x). Determine h(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/16)\/(c\/(c*c**(2\/21))))\/(c**20)**(-45))**44 assuming c is positive.\nAnswer: c**(3326059\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p**3 + 21*p**2 - 9*p + 7. Let s(b) = 4*b**3 - 11*b**2 + 4*b - 3. Determine -3*c(z) - 7*s(z).\nAnswer: -z**3 + 14*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 5*i**2 + 2*i + 1. Let c be s(-5). Let z be (-13)\/1 + 2\/(-2). Let o = c - z. Solve -o*h = -h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4) - (38 - (-474313)\/(-11718))) + 2\/(-27)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -59, -136, -243, -380, -547?\n\"Answer: -15*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6635948541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 558362660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-20)*1400\/(-5040)*1*(-3)\/(-100)\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -401*r**4 - 1 + 634*r**4 + 3*r - r to d*r**2 + n*r + g + u*r**4 + l*r**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*z - 64*z + z**2)*(0 + z**2 + 0) - 4*z**4 + z**4 - 4*z**4 - 1 + 1 - z**4.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = l, 3*c - 2*l - 8 = 0. Suppose 2*g = -3*q + 116, c*g = -2*g + 2*q + 216. What is the remainder when 382 is divided by g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965319?\nAnswer: 3, 233, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20914124 divided by 154\nAnswer: 135806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 13*k - 65, -8828 = -14*b - 2*k - 8818 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 10*u**3 - 135*u**2 + 260*u - 140.\nAnswer: 5*(u - 2)**2*(u - 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 414, 1031, 2020, 3453, 5402?\nAnswer: 7939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12686? (a) -3\/7 (b) 0 (c) -1 (d) -2 (e) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 218, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*p + 4*b + 371, -5*b = 4*p + 267. Let n = p + 73. Solve n = 4*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10470)\/21600 - (-4)\/18 and 33\/50?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 104936\/(-12) + 9\/(27\/2). Is 3 - 16*w\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1913*h - 1905. Determine l(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30606750 to the power of 1\/2, to the nearest integer?\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/7875 and 71\/44100?\nAnswer: 220500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a73 + 2?\nAnswer: -a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/140 and 87\/320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 14645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -276 - 98. Let b = n - -613. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 + 127800092*d + 8166431757604232.\nAnswer: (d + 127800092)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 317*l**2 + 15*l + 68. What is the hundreds digit of o(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/4 (b) -0.06 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(432)\/(1*sqrt(900) - sqrt(9)))**2 - -4*(0 + sqrt(192) - (sqrt(192) + -5)).\nAnswer: 8*sqrt(3)\/9 + 583\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/(-6)*((-7979)\/505)\/79?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y + 47. Let a be n(-5). Let i = a + 100. Calculate the least common multiple of 10 and i.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -7 - -8 - 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166678 is divided by 13886.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8019386 to the nearest integer?\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, 50, -1 in ascending order.\nAnswer: -1, 50, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10767, -10772, -10779, -10788, -10799, -10812?\nAnswer: -10827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2. Let a(c) = -3*c**2. Let h(j) = 4*a(j) - 5*t(j). Let y(o) = o. What is y(h(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5) + (-796)\/(-20) + -1. Suppose 4*m + 16 = 0, 0 = -5*r + 5*m + 310 + 245. Let i = r - f. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -45*k. Let j = 348 - 349. Let x be n(j). Solve 5*g + 4*g + x = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11)*(q*q**(2\/15)\/q*q)\/q)\/((q\/(q\/q**(2\/13)*q)*q)\/q*q**0) assuming q is positive.\nAnswer: q**(2491\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37682 or 37965?\nAnswer: 37682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppctjttcpt. Give prob of sequence jcp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*(sqrt(175) + -1 + sqrt(175)))**2 + ((sqrt(49) + sqrt(49)*-1)*-2)\/sqrt(7)).\nAnswer: -80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4 + 0 + 0 + 2. Let v(j) = -j + 4. Let f(c) = -105. Let a(u) = 8. Let o(p) = -40*a(p) - 3*f(p). Calculate t*v(l) + 3*o(l).\nAnswer: -4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*2*5\/(-85)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -12 + 1835*t**2 - 3730*t**2 + 1832*t**2 - 255*t = 0.\nAnswer: -4, -1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 296562 and 593124.\nAnswer: 593124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 44057?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/32)\/((-138132)\/245568)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(320*u - 543*u - 457*u) + (-3*u + 2*u + 3*u)*(5 - 3 - 3).\nAnswer: -682*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -46) + 12 + (-47 + 15 - -14)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-77)\/(-297))\/((-22)\/132*3).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 754848.6 decades in centuries?\nAnswer: 75484.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(6\/7))\/m**19)\/(m**(6\/11)\/(m\/(m**(-19)\/m*m))) assuming m is positive.\nAnswer: m**(178\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*3*(-210)\/(-135)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95945 + -95943. Factor 4\/5*u**3 + 12\/5*u**q - 8*u + 0.\nAnswer: 4*u*(u - 2)*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 2:45 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6731 by 9730.\nAnswer: 6731\/9730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 156.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 189791743 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8407163 or -8407160?\nAnswer: -8407163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-2\/19)*r))\/r)\/r)**(-13)*(r**(-3)\/r*r)**(-35) assuming r is positive.\nAnswer: r**(2463\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/3 - 90*r**2 - 6*r + 810 = 0 for r.\nAnswer: -3, 3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = -208. Suppose -4*m + b - 20 = 0. Solve 3*n + 9 = m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(2\/(-8) + 0). Let m = 6 + 0. What is the smallest common multiple of m and (-7)\/1*i\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51175 is divided by 273.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1055, -252, 1093, 2986, 5433, 8440, 12013, 16158?\nAnswer: 20881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**0)**(-4\/21)*m**(-3\/4)\/(m*m**3))**(-2\/137) assuming m is positive.\nAnswer: m**(149\/1918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i**2 - 89*i + 7. Let c be g(9). Suppose 5*d = 5*o + 475, 0 = 3*d - d - 5*o - c. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 59. Let n = s - -15. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2650620 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2100)\/875*(-5)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -52433?\nAnswer: -3\/52433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 + 3*m**3 - 3*m**3 - m**3 + 0*m**3 - m**3 + (4*m**3 + 0*m**3 - 3*m**3)*(0 + 1 + 0) + 0*m**3 + 0*m**3 - 2*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 + -179. Suppose 0 = f + f, 3*z = f + 18. Sort z, 2, b.\nAnswer: 2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*x + 22, -l + 4*x + 0 = 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 15 = -36*x + 39*x, -x - 6 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let h(j) = 10*j**2. Give h(n(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 536 and 745241.\nAnswer: 5961928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 + -75. Suppose -2*z - 3*r + g = r, -4*z = r - 242. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3, d: 3, c: 6, s: 1, l: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 677296957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-23952)\/36)\/((14\/(-3))\/7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 23129807.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2 in descending order.\nAnswer: 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 91d?\nAnswer: 91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35246\/15255 - 205\/113. Find the common denominator of 107\/108 and h.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3 times 267\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133928915 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 u when three letters picked without replacement from {o: 3, w: 6, g: 5, u: 3}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*b + 2. Let g(s) = -4*s - b*s + 9*s. Let r(x) be the first derivative of 6*x**3 + 41. What is g(r(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 u, and 1 t when four letters picked without replacement from {y: 1, t: 2, u: 1, z: 1, r: 2, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 4*v**5 + v**5 + (2*v**4 + 2*v**4 + 0*v**4)*(69*v + 159*v - 11*v).\nAnswer: 876*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-5))\/(3\/(-90)*-9). Suppose z = 7*s - 24. Solve -j = s - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 12. Suppose l + f + 11 = 0, -2*l = -0*f + f + 23. Let q be o(l). Suppose w + 1 = 0, 0 = -2*p - 4*w - q*w + 272. Is 46 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + -36 + 49 - (-10 - 2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 155*t**2 + 5 - 534*t + 6 + 528*t. Is m(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v. Let p = -55 + 60. Let j(r) = 4*r**2 + 4*r. Let x(g) = 4*g**2 + 5*g. Let z(d) = p*j(d) - 4*x(d). Determine m(z(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/384)\/(18\/(-8))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*u - u + 114 = 0, 2*u = 2. Let n = p + -7. Let q = n + -63. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 3*o + 1. Let m be c(3). Let w = -13 - m. Let b(q) = q**2 + 3*q - 6. What is the units digit of b(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85785431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16168 + 17714.6. Round x to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*w - 516 = 0, -5*t + 1543 = 3*w - 1037. Calculate the lowest common multiple of t and 45.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.000003. What is r rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/3, -468, 0 in decreasing order.\nAnswer: 2\/3, 0, -6, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 186*-10\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**3 + 3*w**2 - 3. Let m(q) = -q**2. Let g(r) = -4*m(r) + o(r). Let z = -13 - -18. Let y(p) = -14*p**3 - 11*p**2 + 5. Calculate z*y(l) + 8*g(l).\nAnswer: 2*l**3 + l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24307041*c*p**2*u**3 - 7*c*p**2*u**2 - 2*c*u**2 - 4*c*u + 5*p**2*u - 44*p**2 + 10*p*u wrt u?\nAnswer: -145842246*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = 2*s + 3*w, -3*s - 4*w - 4 = 0. Suppose 2*b + 21 = 5*q - 22, -s*q + 8 = 5*b. Suppose 6 = q*r - 8. Solve -r*x = -2 - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-12 + (5 - -1 - 1))) + -61 + 8?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254 a factor of 298715120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 141*t**2 - 430*t + 30. What is w(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.75854449 rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neenwenccnnednd. Give prob of sequence wn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22765.\nAnswer: 5, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (10 - (-8 + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/120 - v**5\/6 + v**4\/4 - v**3 + 4351*v**2. What is c(9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 6 - 1\/2*f**2 + 0*f. Let l(n) = -2*n + 4*n - n. Calculate s(l(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7405 or -16082?\nAnswer: -16082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 7. Let i(q) = -2*q + 6. Let r = 7 + -13. Let n(u) = r*i(u) - 5*l(u). List the prime factors of n(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from mprtfruu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -30*g + 29. Let w(s) = -6*s + 6. Let n(t) = 2*o(t) - 11*w(t). Is n(6) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 7 - ((-38)\/4)\/(10\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -47. Suppose -4*l = -0*l - v. Suppose -2*x + 3*p - 8 = 0, 3*p - 4*p = -4*x + 4. Solve 4*y + 11 = -4*u + y, -x*u - 25 = -l*y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6681.\nAnswer: 3, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15686\/29 - -541. What is the second biggest value in 0.3, u, 1.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534.4 - 533. Let q = -4 + 9.4. Let j = q - b. Put j, 1\/6, 3 in descending order.\nAnswer: j, 3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738477 + 170508 = 5*s. Suppose 0 = 6*m - 39*m + s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/159348 and 83\/617880.\nAnswer: 30276120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 3*z**2 - 3*z + 6. Let l = -30 + 34. What are the prime factors of p(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 0.2 (c) 24\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 + -9.7. Let n = v - -9.2. Which is greater: 1.4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10460000 to the nearest one hundred thousand.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkoogoookg. What is prob of sequence oog?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3 + (sqrt(1100) - (-5 + 1*sqrt(1100))))*-4)**2 + -5 + (-1 + sqrt(1100)*1 + 5)**2*-1.\nAnswer: -865 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let u(x) = 2*x. Let j = -7 - -9. Suppose -j*r - 10 = -5*v, 3*r + 11 = 3*v - 4. Determine r*s(o) - 2*u(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 28. Suppose r*f = -4*f + 48. Calculate the lowest common multiple of f and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 2*t**2 - t - 3. Let p be q(3). Suppose 2*z = 5*k - 2*z - 9, 3*k = p*z + 6. Suppose 0 = 5*u - 6 + 31. Put 4, u, k in decreasing order.\nAnswer: 4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -242865574 to the nearest ten thousand.\nAnswer: -242870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.04 (b) -6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2 + u. Let z(w) = 51*w**3 - 5*w**2 + 5*w + 17. Let x(q) = 5*v(q) - z(q). What is the first derivative of x(o) wrt o?\nAnswer: -168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - r**4 - r**5 + (-6*r**3 - 8*r**3 + 3*r**3)*(3*r - 3*r - r**2) + 0*r**5 + 0*r**5 + 2*r**5 + 6*r**5 - 4*r**5 + 0*r**5.\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345116 to the power of 1\/2, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8127900 rounded to the nearest one hundred thousand?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 u when four letters picked without replacement from {u: 5, t: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 83*f**2. Let s(j) = 2*j**2 - 25*j + 11. Let a be s(11). Let z = -21 - a. Is q(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9521*i + 1075987. Give j(-113).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -5 - -14) + 3 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*r**3 + 10*r**3 + 751 - 142 - 9*r**3 + 224*r - 219*r wrt r?\nAnswer: 48*r**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56784672 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8) + (-105)\/(-28). Let d(q) = -q**3 + 8*q**2 - 5. Let x be d(n). Let f = -0.943 - -1.143. Which is greater: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 + 1896311*i\/5.\nAnswer: i*(i + 1896311)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, g: 2}. Give prob of picking 1 g and 2 i.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 2, -4*x - 37 = -u. Let o = 49 - u. Suppose -o*h - 145 = -13*h. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23630909 to the power of 1\/2, to the nearest integer?\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 114\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 264 = -3*k + 1086, -f = -3*k + 1346. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 1:15 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70123447 is divided by 6181.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10011 (base 2) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4017 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, c: 14}. What is prob of picking 2 x?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1313 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -91787254 and 10.\nAnswer: -91787244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x**2. Let v be o(1). Suppose 0 = -5*a - 10, 15 = -5*n + 4*a + 28. Put 4, n, v in descending order.\nAnswer: 4, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36417841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -24 - (-3 - 9\/(-3)). Let p be (-32)\/z*1*3. Suppose -3*j + 6 = -4*c + 4, 0 = c - p. 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: -181754856 * 0.4\nAnswer: -72701942.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -449915 (base 11) to base 10\nAnswer: -715852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3, -3048?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c**5 - 5*c**3 + 12*c**2 - 5*c + 5. Let g(m) = m**5 + m**3 - m**2 + m - 1. Let w(x) = 5*g(x) + q(x). Find the third derivative of w(y) wrt y.\nAnswer: -600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/7 - 723*z\/7 - 23760.\nAnswer: 3*(z - 385)*(z + 144)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-9))\/5)\/(2\/9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 32?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -15. Let q(w) be the first derivative of 4*w**u - 96*w**2 - 7 + 96*w**2. Let i(o) = o**2. Determine i(q(s)).\nAnswer: 144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-23 + 55 + 3 + -19).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45770380 is divided by 326.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7342, -15644, -29480, -48850?\nAnswer: -73754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.2, 44, 1, -12, 4, 7, -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 4. Let m(r) = -3*r**2 + r - 9. Let a = -2042 - -2040. Determine a*m(d) - 5*g(d).\nAnswer: -4*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 (base 7) in base 9?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17542789 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*v - 1 + 63*v**4 + v + 26*v**4 - v**4 wrt v?\nAnswer: 1056*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -74. Let b = 102 - 156. Let c = b - v. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhgyw. What is prob of picking 1 g and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2092 + -2097. Let s = -69 - -203\/3. What is the second biggest value in s, n, 23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 4\/3*h**3 + 11\/2*h**2 + 14*h + 1\/12*h**4 + 0. Let t be w(-4). Which is the second smallest value? (a) -29 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7370027 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -10. Suppose 0 = -7*c + 4*c + u. Is (3 - 3) + c - -111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + -0.4. Suppose 16 = 5*j - j, -2*j = 3*g + 7. Which is the closest to -0.2? (a) -1\/5 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 + 170 - (2 + -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 smaller than 674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8842 times -0.9?\nAnswer: -5.29578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/6 + 3 - 920\/(-6). Is 153 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*2 - 5. Suppose -164*k = -142*k - 110. Sort k, l, -1, 1 in decreasing order.\nAnswer: k, 1, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013973 is divided by 676.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*q + 353*q = -75 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8799 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-16)*((-192)\/39)\/16\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-45 + 15 + 38).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2. Let p(d) = 13*d + 413. Calculate p(i(x)).\nAnswer: -13*x**2 + 413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 7678 + 8078 = 0 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -550929 * 10\nAnswer: -5509290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10063 by -10063.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/210 and -76\/17428227.\nAnswer: 1219975890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 3*w + 19 - 3, 3*v - 5*w = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 - 7*a + 8. Let r be v(2). Suppose 10 + 6 = 4*k. Let w(o) = -r*o - 18*o + k + 31*o. Calculate w(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1388 (base 9) to base 6.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n + 15. Let a(q) = -q - 5. Let y(f) = -7*a(f) - 2*v(f). Let u(z) = 1. What is 5*u(m) - y(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - -5*4\/(-70). Suppose o = 6*s - 111 - 1113. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 6, i: 3, c: 7}. What is prob of picking 2 i?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 1:43 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 - 40*q - 8. Let r be x(6). Solve 3*o + 7 = -s - 2*o, -2*s = r*o + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 24. Let j(m) = 6*m**2 - 11. Let x(k) = k**2 - 2. Let f(h) = g*j(h) + 11*x(h). Let u(d) be the first derivative of -3*d**2\/2 + 1. Give u(f(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3616873?\nAnswer: 13, 61, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/3, 1, 5, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**4\/2 + a**2 - a + 1. Let w be v(1). Is 133\/(-2)*(-1 + w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31068 and 20712.\nAnswer: 62136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -216*s + 3053. Let b(u) = 2*u**3 + u**2 + 2*u. Let q be b(-4). Let j = 175 + q. What is the remainder when j is divided by y(14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1911)\/119)\/(-7))\/(171\/4845)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*r - 20, 6*r = 2*i + 2*r - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 124. Suppose -4*w - z*w = -2*w. Solve w*h = -4*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 4. Let v(x) = -7*x - 9. Let a(n) = 9*u(n) + 4*v(n). Let b(s) = -12*s**2. Let t(c) = 3*c**2. Let h(p) = -2*b(p) - 9*t(p). Determine h(a(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8465\/9 (b) 0.02 (c) 0.26 (d) 0.4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + p**2)*(20*p**2 - 20*p**2 - 8*p**3)*(-1 + 1 + 2).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a day in minutes?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:06 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/1470*15)\/((-264)\/504)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -4\/7 (b) -6 (c) -3\/7 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = 0. Solve q = v + g + 2, -4*v + 0*g = 5*g + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -42*z + 30. What is the tens digit of t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 21*u**2 + 18*u + 92. Let n be l(-22). What is the highest common factor of 468 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*v - 44, 4*a - 40*v = -41*v + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1120?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355008 is divided by 366.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d + 0*d - 8*d + 8. Let h be z(5). Factor 0*n + 0 + 2\/7*n**h + 2\/7*n**2.\nAnswer: 2*n**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 - 14*l**2 - 17*l + 3. Let c(o) = 2*o**3 + 7*o**2 + 7*o - 1. Calculate -5*c(q) - 2*d(q).\nAnswer: -2*q**3 - 7*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.2 - 31. Suppose -2 = 2*t + 6. Which is the closest to t? (a) 2 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -6*((3 + sqrt(117) - sqrt(117))*-6 + -1) + 2)*-6)**2.\nAnswer: 501264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/(-6)*3*(-16)\/(-20). Suppose z = -3*i + 2*i + 20, -2*i - 23 = -z. Suppose z = s*j - 529. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-4)\/42*-5). Let w = -144\/5 - y. What is the common denominator of w and (-5)\/(-8)*(-11)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = -1. Suppose 5*n = 4*r + n + 4, 5*n + 27 = -3*r. Suppose -10*f + 5*f - 17 = -q, -q = -2. Put s, r, f in increasing order.\nAnswer: r, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5656 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 - 326061?\nAnswer: -325757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 92.6.\nAnswer: 92.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1451800, -1451805, -1451810?\n\"Answer: -5*f - 1451795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 3*a - 2. Calculate z(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r - 15*r = -240 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425220.\nAnswer: 2, 3, 5, 19, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21202043 - -10?\nAnswer: 21202103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6369*i**3 - 6369*i**3 - 6363*i**3 - 6373*i**3 + 25475*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*t**2 + 183*t**2 - 712*t**2.\nAnswer: -74*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 r when four letters picked without replacement from {z: 19, r: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*f. Suppose -4*z + 56 = -f*z. Does 19 divide z\/(-112) - (-273)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 16. Which is the nearest to -3? (a) 0.5 (b) 2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-384)*4*8\/68 and -143\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((63\/(-12))\/(-21))\/(-2 + 0)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 2. Let o be z(-3). Let r(t) = -2*t**2 + t**2 - 21*t + o + 30*t. What are the prime factors of r(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-22)\/11)\/(12\/(-9)))\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*v + 3)*(-1 + 0 - 3)*(-4 + 11 - 10).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -214074, -428148, -642216, -856278?\n\"Answer: 3*f**2 - 214083*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 6*z + 2. Let v be d(-6). Let y = 0.1817 - 0.3817. Let o = -1\/167 - -838\/501. Which is the nearest to y? (a) o (b) v (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 18. Let c = 13 - l. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5762*s. Let t(i) = -12247*i**2. Determine t(m(v)).\nAnswer: -406608287068*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 243 in -3\/7, -2\/11, 0.26, -0.65, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.319945mg?\nAnswer: 0.000004319945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146 and 2274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 596819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3979941, -7959893, -11939845?\n\"Answer: -3979952*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2496 + 144*j**2 + 7479 - 141*j**2 - 2495 - 2488.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (17 - 17) - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 126, -5, 3, -1617.\nAnswer: -1617, -5, -4, 0, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g + 8 - 4*g)*(4 + 3 - 4 + (-5 + 2 + 2)*(1 - 3 + 1) + 4 + 0 - 6)*(4 - 2 - 8)*(4 - 1 - 5).\nAnswer: -48*g + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 less than -43.8?\nAnswer: -46.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(-12)*u**(2\/69) assuming u is positive.\nAnswer: u**(968\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 1 + 27 = 0. Suppose -l - j*l = -50. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-98300)\/2949 + 13 + 9\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0537 - 339.0537. Let y = 350 + p. Is y > -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1307 divided by -225.\nAnswer: 1307\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 2*i. Let z be r(-7). What is the highest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzz when three letters picked without replacement from {z: 2, d: 2, m: 2, l: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3399 in -1.7, -1.2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03093 to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3024 - -3037. Solve 5*r - w*r = 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 16*g = 25*g - 630. Solve 6*h - 2*u = 3*h - g, -2*h - u = 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/3098 and -7\/18.\nAnswer: 27882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = -0*l + l, 5*l + d - 117 = 0. What is the greatest common factor of l and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -9*a + 54. Is -24 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5226*n**3 + 1018810*n**2 - 1018810*n**2 + (4*n**2 - 4*n**2 - 2*n**2)*(-n + 2*n - 3*n) - n**3 - 4*n**3 + 4*n**3 - 5*n**2 + 5*n**2 - n**3.\nAnswer: -5224*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13645.09t in kilograms?\nAnswer: 13645090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*j*n**2 - 2*j + 27*n**2 + 37*n wrt j?\nAnswer: -5*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/14)\/(8\/28). Let a = 0.4 - -0.1. Let t = -2 + 1. What is the third biggest value in a, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430072 is divided by 322?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.474 - 15.474. What is the second smallest value in -3\/7, 4, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*l - 3*o, -2*l - 3*o = 5 + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from muyyymymummyyyyy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 50, -11, 1.\nAnswer: -11, -5, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 175362137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -2*t**5\/5 + 7*t**4\/12 + t**3\/2 + 5*t**2\/2 + 5*t - 76. What is the second derivative of o(y) wrt y?\nAnswer: -48*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -14050\nAnswer: -3\/14050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -338, -339, -340?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1931495582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -13 (b) 4 (c) 1.3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-380)\/(-3876))\/((-75)\/630)?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = o + 2*k, k + 1 = -4*o - 2. Let r = o - -3. Suppose -r*y - 8 = -2. Which is greater: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -924491.8 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 9. Is 3 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u. Let j be y(-3). Let t be 0\/(j\/15 + 7\/(-35)). Suppose 2*h = d + 36, t = 2*h + 3*d - d - 48. Calculate the remainder when 118 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 142 in -0.3, -1, -0.4, -2\/9, -436?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 4*k**2 - 6*k + 1. Let n(s) = 2*s**3 - 29*s**2 - 12*s - 41. Let v be n(15). Let l(i) = -3*i + 2. Give v*j(b) + 11*l(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s**3 + 0 - s**2 + 1 + 12*s - 11*s. Calculate i(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -1\/6, 1, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-57 - -6)*2\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 4*b - b)*(-13*b + 156 + 11*b - 521).\nAnswer: -6*b**2 - 1099*b - 730","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32434566.\nAnswer: 2, 3, 67, 80683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a87 - -5?\nAnswer: 2a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45441\/204)\/81*3\/((-3)\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13562931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 17*m**2 + 14*m - 70. What is the remainder when w(17) is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o*o*(o**(-1\/5)\/o)\/o))))\/o)**(-17))**(6\/19) assuming o is positive.\nAnswer: o**(-102\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = -20. Solve -h*p + 4*n - 16 = 0, 4*p - 2 = n - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 0*r**2 + 2\/3*r**3 + 0*r - 16. Let f(a) = 27*a. What is u(f(n))?\nAnswer: 1458*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 335*a**2 - 1129*a + 10. Is 4 a factor of i(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**5\/20 - g**3\/3 + 6*g. Let f(i) = -i - 1. Give 2*f(d) - n(d).\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011745348 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(2 + sqrt(75) - sqrt(75)) + -2 + 1)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*i - 3, -6*y + y - 2*i + 17 = 0. Suppose n + y*n = -2*k - 56, 2*k = -5*n - 60. What is the units digit of (-133)\/(-5) + k\/(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.076 minus -0.1119?\nAnswer: 39.1879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 - 13*t**3 + 15*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40146112 and 23024976.\nAnswer: 1565698368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -7342397413946.\nAnswer: -7342397413944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 992*m + 9 = 995*m. Let q = 18 + 5. Solve -m*u + c + 5 = q, -4*u = 3*c + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25.7? (a) -2\/7 (b) -4\/9 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155\/28 + -21\/4. What is the third smallest value in s, 4, 0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1308760586\/33 - 39662370. Let a = n + 2956. Find the common denominator of 43\/11 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -9 - 1\/2*h**2 + 0*h. Let g(o) = -5*o**2 + 4*o. Let z(k) = -k**2 + k. Let l(q) = -3*g(q) + 12*z(q). Give b(l(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w. Let f(n) = 517*n**2. Determine f(r(k)).\nAnswer: 41877*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - 6 - (312 + -317).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*l - 9 = 0, 2*l + 3*l = o - 13. Let b be (-4)\/(-2) - (o + -6). Let i(z) = z + 5. Let t be i(5). Calculate the greatest common factor of t and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -4*(0 + sqrt(192)))**2 + 4 + (-5 + sqrt(192)*-2 + sqrt(192))**2)*-6.\nAnswer: -19758 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-112)*(-8)\/6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(1216) + sqrt(19).\nAnswer: -6 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 543 + 206*k - 207*k + 1005 in the form g*k + m and give m.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - g, 20*a = 25*a + 5*g - 20. Let i be (-1)\/(-2)*2\/(-10). Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4154 >= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1350 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 29*u**2 + 2. Let p be z(29). Suppose -4*v + 7 - 32 = t, 0 = -t - 5. Put v, p, 3 in ascending order.\nAnswer: v, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:16 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 9:22 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l*l**(1\/10))\/l)**(5\/17)\/(((l\/(l*((l*l*l**(-4\/7))\/l)\/l))\/l)\/l**(1\/9)) assuming l is positive.\nAnswer: l**(2479\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3730600 and 180.\nAnswer: 33575400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -5 - -5 - (4 - 25 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182103840 and 2160.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3006 = 373*l + 539*l - 6114 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/10 and 53\/45112582?\nAnswer: 225562910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206121 + 184122.4027.\nAnswer: -21998.5973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2 - 18*l - 52. Let q(h) = -h**2 - 3*h - 8. Suppose -5 + 31 = -o - 5*w, -26 = 5*o - w. Let p(d) = o*s(d) + 39*q(d). Find f, given that p(f) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 d when three letters picked without replacement from {v: 2, a: 2, g: 13, d: 2}.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -333 + 332.84. Which is bigger: h or -14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27384, -2, 3 in increasing order.\nAnswer: -27384, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 8, v: 5}. What is prob of picking 1 v, 1 z, and 2 a?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 702?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -2. Let m = 40 - 41. Let z = -37\/385 - 3\/35. Which is the third smallest value? (a) z (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 5433380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 13 = 4*t - 17, -6*t - 5 = 3*g - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -91*x**6\/15 + x**4\/12 + 65*x**3\/2 + x + 13. What is the third derivative of k(n) wrt n?\nAnswer: -4368*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 111, 128, 137, 138, 131, 116, 93?\n\"Answer: -4*o**2 + 29*o + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 - 126.9. What is z rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuussuuuuuusuu. Give prob of sequence sssu.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 1\/30*y**5 + 1\/4*y**4 + 0 + 0*y - 21*y**2 + 4\/3*y**3. Let r be d(-3). Solve -t - t = -r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 31*y**2 - 160*y + 2. What is the hundreds digit of l(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2 + 128\/63). Suppose g + 164 = -5*q. Calculate the remainder when 15 is divided by q\/(-7) - 6\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 833 and 33133.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -18. Let s = u - -13. Which is smaller: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 1:56 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21372, 42770, 64170, 85572, 106976?\nAnswer: 128382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + -0.11. Let s = -0.28 - n. Which is the nearest to 0.1? (a) s (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 2*m**2 + 2*m - 7. Let x be o(-3). What is the third biggest value in -1, x, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -18*r + 10*r. Let i(t) = t + 13. Calculate the remainder when r is divided by i(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**3\/4 - 105*w**2\/4 + 7611*w\/4 + 282897\/4 = 0.\nAnswer: -43, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3324a - -4?\nAnswer: 33252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myyyyqyeqqmqyeywqwy. What is prob of picking 1 w, 2 m, and 1 e?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36599834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14374 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 15356972?\nAnswer: 2, 1861, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b - 125. Let k = 13 + b. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13784436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f**2 - 3*f - 3. Let g(r) be the third derivative of -13*r**5\/12 - 13*r**4\/24 - 13*r**3\/6 + 2*r**2 + 79*r + 2. Determine 3*g(m) - 13*l(m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5 - 1) + ((-21)\/(-36) - -4) and 214\/(-108) - 7\/(-14)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0*a - 2*a**2 + 0*a. Suppose w + 3 = 5. Let h(t) = 219 - 219 - w*t. What is i(h(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1553 (base 6) to base 3.\nAnswer: -120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 439249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let i(l) = 2*l - 10. Let t be i(9). Suppose t = -d - 2*q - 0*q, -2*d + 19 = -3*q. Let o(v) = -v**d - 8*v**2 + 4*v**2. Give h(o(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21145799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-12)*4*(-15)\/(-20). Let n(w) = -w**3 - 3*w**2 + w + 3. Let d be n(-3). Suppose -5*i = -s*i - 2*k + 4, i + 2*k - 4 = d. Solve p = -i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1114 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7216909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -43106723\/2 > -21553363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162.6 - 302.8. Let w = v + 140. Which is the nearest to -1? (a) -2\/9 (b) w (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**18)**(-9)\/(s*s*(s*s**(1\/8))\/s*s)**3)**(-2\/23) assuming s is positive.\nAnswer: s**(1515\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14*r - 8. Let u(n) = 11*n + 3. Let v(q) = 2*q. Let m(k) = -u(k) + 3*v(k). Determine -11*m(l) + 4*z(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/11 + 906*g**2\/11 - 58830*g\/11 - 983150.\nAnswer: -2*(g - 265)**2*(g + 77)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 5*p - 36. Let j(v) = v**3 + 4*v**2 - 2*v - 1. Let q be j(-5). Let u = p - q. Sort 1, 2, u in increasing order.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 30 = 2*c. What is the nearest to c in -1\/5, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -243\nAnswer: 4\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 2, 0, 5\/108391?\nAnswer: 5\/108391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 24\/17, -42, -4, -0.1, 3, -14?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**8\/196 - 19*n**7\/735 - n**6\/20 - 3*n**5\/70 - n**4\/84 + 9*n**2. Solve k(v) = 0 for v.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -544 times 234.14\nAnswer: -127372.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 3*i**3 + 6*i**3 + (-764*i**3 - 26686254*i + 3 - 5 + 2*i**2 + 26686253*i)*(0 - 4 + 2) to q + a*i**3 + p*i + s*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, m: 1, w: 3, p: 3}. What is prob of picking 1 m and 2 v?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v**(-14\/9)\/v)*v))**(-27)*v\/(v**(-3\/16)\/v)*v**(-17) assuming v is positive.\nAnswer: v**(1731\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -2 + (-10)\/(-2). Let a(u) = -u**2 + 9*u - 10. Let h be a(o). Solve -4*b - 10 = b, h*v + b - 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 65. Suppose m + 3*j = z, -4*m + 0*j = -j. Let l be 873\/(3\/1) - m. Round l to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1351152 divided by 48.\nAnswer: -28149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1929871258 to the nearest integer?\nAnswer: 43930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*372\nAnswer: -74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g = -72. Let m = g - -51. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 0, -4*i - y = i + 82. Let l be 364\/(-10) + 6\/15. Let d = i - l. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 938 = -v + 13*i, 2*v - i - 1841 = 0. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -694 - -738. What is the remainder when h is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 5 - 51 - 78*f - 89*f + 39 in the form h*f + k + l*f**2 and give h.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/9)*n)\/(n\/(n**(4\/3)*n)))\/(n*n**(-15)*n**(-7)) assuming n is positive.\nAnswer: n**(206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2219*w - 16*w + 3663*w - 1671*w + 1869*w. Let n(y) = -y. What is n(c(g))?\nAnswer: -6064*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 81*-3\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5569764*p - 2784985*p - 2784912*p.\nAnswer: -133*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 842, -693 in ascending order.\nAnswer: -693, 3, 842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 - 4462*u**2\/7 - 4460*u\/7.\nAnswer: -2*u*(u + 1)*(u + 2230)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/12 - 25*q**3\/6 - 21*q**2\/2 - 8*q. Let v be k(-24). Solve -3*a = -3, 3*j - v*a = -1 - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -2\/175 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3 - 616*r**2 + 2528*r = 0.\nAnswer: -158, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 60, 0.19, -0.18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.1. Let c = -17.962 + 18. Let y = 0.018 - c. Are n and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355910, 355805, 355694, 355577?\nAnswer: 355454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 45. Determine p(36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000100111110111 (base 2) in base 4?\nAnswer: 120213313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 1334.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1451*t + 1439*t + 6*t**2 - t**2)*(-1 + 4*t - 2*t + 0*t).\nAnswer: 10*t**3 - 29*t**2 + 16*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 11*r**2 + 21*r + 10. Let m(b) = -31*b**2 - 63*b - 28. What is 4*m(h) + 11*w(h)?\nAnswer: -3*h**2 - 21*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-5))\/(3\/12). Suppose u = -w - w + 23, -3*w + y*u = -7. Calculate the highest common factor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + b**4 - 95*b**3 + 28*b**3 + 172*b**2 - 36*b + 34*b + 34*b**3 + 34*b**3 as n*b**3 + u*b + s + t*b**4 + i*b**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 40 = f + 6, 4*f = 3*z - 31. Differentiate 0*i + 61*i + 58 + 11 - z with respect to i.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*j**2 + (-5 + 1 + 0)*(-1 - 2*j + 1)*(j + 3*j + 0*j).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bbc - 17?\nAnswer: 2ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -41. Let c = -34 - -34. Let j(z) = -2*z + 5. What is the remainder when k is divided by j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwhghwghgggwwgggghg. Give prob of sequence hgh.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:19 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/3*((-11)\/2 - -7). Let r(m) = -4*m - 10. Let l(u) = -u. Let c(v) = 9*v + 7. Let z(n) = c(n) + 6*l(n). Give k*r(a) + 7*z(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 200*s**4 - 9735*s**3 + 15620*s**2 + 5865*s + 470 = 0.\nAnswer: -1\/5, -1\/8, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/24)\/((-2)\/2). Let x = -1.5 + -3.6. Let p = 0.1 + x. What is the smallest value in 0.1, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1553 or 1761?\nAnswer: 1761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2307\/12 + (-6)\/24. Suppose 0 = 9*m - 17*m + l. What is the tens digit of m\/30 + (-276)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 - 3*l + 7*l**2 + 2*l - 7*l**3 - 55*l**3 to d*l + y*l**2 + o*l**3 + c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 75308982.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16 - l**3 - 8 - 8*l**2 + 19*l - 6 - l. Let j be k(-10). Let w = 38 + -16. Calculate the greatest common factor of j and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*w**2 + 501*w**2 - 229*w**2 in the form j*w**2 + v + y*w and give j.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -242 divided by 5\nAnswer: -242\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*z + 1653509 - 1653509 + 447*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -12, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 7*d**2 + 7*d + 8. Let c be r(-6). Let x(p) = -1 + 6 - p + p**2 - 5. Let y be x(c). Solve -y*z = 2*z + v - 1, 5*z = v - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 3143?\nAnswer: -3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/4)\/(d*d\/((d\/(d*d**(-6))*d)\/d)*d*d*d*d))\/(d**(2\/3)\/(((d**(-2\/7)\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-269\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129327756 - v - 129327756.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 - 5) + (-160)\/(-72).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22713 = 7044*x + 1581. Determine b so that -2\/3*b**x + 968\/9 - 2816\/9*b - 262\/9*b**2 = 0.\nAnswer: -22, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 286 - 214 = 0. Let m = 23 + p. Let f(r) = -r + 1. Determine f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -1488528?\nAnswer: -1488523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -114*h**3 - h - 1. What is the tens digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/91)\/(1\/(-2)). Let m = 0 - -0.2. Let q = m + -0.1. Which is the third smallest value? (a) q (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -46478655?\nAnswer: -9295731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6855.\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 14560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 9*k**2 + 17*k + 22. Let p be u(-11). What is the greatest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 4*q**2 - 7. Let n(y) = -y**3 + 1. Give -3*n(m) - z(m).\nAnswer: m**3 + 4*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 75*s - 81*s. Let i be (4 + -2)\/(36\/(-198)). Is s at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:28 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6874*h - 2849 = 7133*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/15)\/((-7)\/(-266)) + -2. Do a and -31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693995623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (2 - 2)) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1. Let q = 260 + -256. Which is the nearest to m? (a) q (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -9 - 2 - (34 - 23)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/11))**(2\/89)*(c**(-5)\/c)**(2\/13) assuming c is positive.\nAnswer: c**(-11774\/12727)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -137. Calculate the remainder when 63 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29077 - 29071. Let w = 1 + -1.3. Which is the fourth smallest value? (a) -3\/2 (b) k (c) -1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 30 = 4*p. Let b be ((-6)\/(-2) + (-75)\/25)\/3. Solve b = -l - l + p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 10*o + 13*o. Let z(f) = -2*f**2 + 22*f. What is the lowest common multiple of 200 and z(o)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57127326 a multiple of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -438308*q. Let x(k) = 17*k. Give x(f(a)).\nAnswer: -7451236*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -374307*i*n**2 - i - 8*n**2 - 7472*n wrt i.\nAnswer: -374307*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 8*w + 4. Let t be g(8). Suppose t*h - 8*h + 136 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1705 and 6654615.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100\/27737 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629 - 733 = -13*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511172 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q - 7\/12*q**4 - 9\/2*q**2 + 22 + 1\/20*q**5 + 1\/3*q**3. Determine w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28913130, -57826262, -86739394?\nAnswer: -115652526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 54, 64, 54, 18, -50, -156, -306?\n\"Answer: -m**3 - m**2 + 34*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5170806, -10341696, -15512586, -20683476, -25854366, -31025256?\nAnswer: -36196146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -17. Let i(b) = 7*b**2 - b - 8. Let r(k) = 6*k**2 - k - 6. Let o(q) = -5*i(q) + 6*r(q). What is the tens digit of o(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 17, -4, -53, -136, -259, -428?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -1, -340 in ascending order.\nAnswer: -340, -1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/(p\/(p\/(p\/(p*p**(2\/3)\/p)*p)))*(p\/p**(-1))\/(p**(-1)\/p))\/((((p\/(p\/((p\/p**(-1\/13))\/p)))\/p)\/p*p)\/(p**(-6)\/p))**18 assuming p is positive.\nAnswer: p**(-4045\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.4 - 2.6. Let b = x + 14.6. What is the nearest to 0 in 0.2, -0.5, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/6 - (-10)\/(-15). Let t = 30 + c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 11:31 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 13*m**2 - 11*m**2 + (-2 + 2 - 1 - 2*m)*(-3*m - m + 6*m) to d + a*m + c*m**2 and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -2. Let d = 1 - w. Calculate the common denominator of (-404)\/6*(-3)\/d and -87\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:51 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53544 is divided by 17829.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9506 and 863.\nAnswer: -820.3678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*5\/(-77))\/(8\/(-32))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0124 - 36.9976. Round n to 0 decimal places.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*0.042.\nAnswer: 0.00294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:52 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/2*(-55)\/(-330). Let s(z) = -35*z - 172. Let f(i) = i - 1. Let m(d) = j*s(d) + 3*f(d). Differentiate m(r) wrt r.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1053) + -5 + 5 + (sqrt(39) + sqrt(39) + sqrt(975)*2)\/(sqrt(3) - (sqrt(3) + -1*sqrt(75)))))**2.\nAnswer: -4104*sqrt(13)\/5 + 1521432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 2945. Let l be 0 - (79626\/(-27) + -1). Let f = l - v. Find the common denominator of f and 103\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12307511.73999938 - 12307513.7. Let w = 1.96 + p. Round w to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*d + 7*c + 4*c = 190*d - 79, 3*d = c - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*z - p, 4*z - 10 = -4*p - 2. Let u be z - (0 + (-1 - -1)). Suppose j - 10 = -u*j. Calculate the highest common divisor of 70 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/3, 3, -5, 2\/11, 0 in ascending order.\nAnswer: -5, -3, -2\/3, 0, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32865912?\nAnswer: 2, 3, 67, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 23567680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47bc90 + 3?\nAnswer: 47bc93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 35*b + 35*b + 1 + b**3 - 3*b**4 + 0*b**3 in the form m*b**2 + o*b + z*b**3 + r + q*b**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 12*t - 3. Let d = -6 + 10. Suppose -d*k = 2*a - 2 - 4, -5*k - 75 = -5*a. Let r be u(a). Solve y = -y - r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 6 + 17 + -11 - -12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*5*3\/45)\/(1\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/(-8))\/((-15)\/20). Suppose k*o = 15*o - 36. Calculate the greatest common divisor of o and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*d + 1045 = 296 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let n(s) = -289655*s**2. What is n(a(v))?\nAnswer: -289655*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 4*u, -1 = -f - 4*u + 7*u. Solve -4*k = 8, 3*t + 59*k - 55*k - f = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 9*n - 20. Let o be q(2). Solve -4*s = 0, -4*t = s - o - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44684 + -14406. Let c = h + -666007\/22. Find the common denominator of 2\/9 - 119\/(-72) and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2942827928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -157.7.\nAnswer: -157.7, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10038210, 40152844, 90343894, 160611354, 250955218?\nAnswer: 361375480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384*r - 41080 + 41080)*(-2*r**2 - r**2 + r**2).\nAnswer: 768*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11367 + 2983?\nAnswer: 14350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 divided by -91451?\nAnswer: 236\/91451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwggkxkwgw. What is prob of picking 2 g and 2 k?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 209024*n + 24. Let g be w(-1). What is g rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.34457 * -302\nAnswer: 1312.06014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 249511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 2 = 3*t - t + 5*n, 2*t - 18*n = -20*n + 44 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 45655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -16 + 5 + (9 - 2 - -2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4326*a + 4824*a - 9146*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 525739991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.370561ms in days?\nAnswer: 0.0000026663259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 199*n**2 - 4. Is m(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 863*a**3 - 207*a**3 + 26*a**2 - 27*a**2 to the form p*a**2 + g*a + f*a**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0 + 0*p**2 - p - 5\/2*p**3 + 5\/12*p**4. Suppose y(w) = 0. Calculate w.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 15) to base 9.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -777*g**2. Let c(t) = -11*t. Calculate c(w(h)).\nAnswer: 8547*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + 3*(sqrt(1377) + -2*sqrt(1377)*2 + -4 + -1))**2.\nAnswer: 2268*sqrt(17) + 111735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8085 - 8084. Are x and 14\/1717 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.049 - 1.0490000359. Round x to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418041 is divided by 2690?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363, -587, -819, -1059?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u + u + (-u - 4*u + 4*u)*(-u + 2*u - 2*u))*(16*u + 3*u - 2*u)*((0 + 2 - 3)*(-1 + 7 - 2) + 0 - 2 + 1 + 11 + 13 + 1).\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.222754964763 - -8\nAnswer: 7.777245035237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318416448 divided by -6.\nAnswer: -53069408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 55*h**2 + 43*h + 117. Give d(-5).\nAnswer: 1277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669239176?\nAnswer: 2, 131, 638587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.8, 1\/10, -0.3, -2\/11 in decreasing order.\nAnswer: 1\/10, -2\/11, -0.3, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1582.64915 rounded to the nearest integer?\nAnswer: -1583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -0.5. Let n = 3 + l. What is the nearest to 0 in 2\/11, -2\/3, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680241 is divided by 97177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-4*(sqrt(117) + sqrt(117)*3) - -3*sqrt(117)*3)*-1)**2 + -3).\nAnswer: 11460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven fifths of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3) + -2)*5.\nAnswer: -10 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 0*g**5 - 19 - 1\/3*g**6 + 0*g - 5\/3*g**3 + 47\/2*g**2 + 0*g**4. What is the second derivative of f(n) wrt n?\nAnswer: -40*n**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.8, 1\/12, 29, 481?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294694, 1178765, 2652216, 4715047, 7367258, 10608849, 14439820?\nAnswer: 18860171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*y**5 + 248*y**4\/5 + 32*y**3\/5.\nAnswer: 4*y**3*(3*y + 2)*(25*y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -16\/3*s**3 + 0 - 7\/3*s**4 - 1\/5*s**5 + 0*s - 26*s**2. Factor c(f).\nAnswer: -4*(f + 4)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -2*x, 2*x + x = 4*s - 11. Let j(a) = -3*a**2 - 44*a - 29. Let o be j(-14). Let y be (o + 12\/x)*17\/(-3). Which is bigger: -18 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29\/12 - 11\/4. Let z = -5 - -10. Sort m, -1\/6, z in descending order.\nAnswer: z, -1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*(6\/2)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -219875?\nAnswer: -2\/219875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7430+-5\nAnswer: -7435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18.1493 - 39\nAnswer: -57.1493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149\/265 - -2\/53. Which is the closest to 1? (a) p (b) -1.6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001675493 rounded to 6 decimal places?\nAnswer: -0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f**3 + 30*f**3 + 32*f**3)*(-f**2 + 0*f**2 + 2*f**2).\nAnswer: 45*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 1740956475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6175*c - 8299*c - 328*c as u*c + k and give u.\nAnswer: -14802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1)*11\/(-5 - -16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 555 = 3*u, -28 = u + 2*t - 213. What is the units digit of 24\/14*u\/30*21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(104)\/sqrt(2) - sqrt(52)) + sqrt(13) + sqrt(325) + -2)**2.\nAnswer: -24*sqrt(13) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3216\/240 - (-6)\/(-15). Solve 3*z + n = b, -b + 6*z + 19 = z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**3\/6 + 4*o**2 - 4*o. Let l be a(8). Solve -5*i - 5*v - 27 + 2 = l, -3*i + 5*v + 9 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + 2*s**4)*(-1 + 1 - s) + (-3*s + 6*s - 4*s)*(6*s**2 - 4*s**4 - 6*s**2) - 5*s**5 + 3*s**5 - s**5.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1049681 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 45. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1459736*j + 3 - 1494750*j as r + b*j and give b.\nAnswer: -35014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 6. Suppose -2*a = q*n + 2 - 8, -n = -a + 6. Put 0, -6, a in descending order.\nAnswer: a, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645592.\nAnswer: 2, 13, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let x(a) = 3*a. Let c(v) = 6*g(v) + 5*x(v). Let w(o) = -13*o**2 + 6*o + 3. Let b be w(3). Let y = b + 97. What is c(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -207 + 209. Let x be -1 + (-3)\/(6\/(-310)). Suppose -4 = -4*s, -x = -g + t*s - 11. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 8*h**4 + 1 - 14*h + 2*h**2 + h**4 + 16*h + 3*h**3 in the form c + r*h**3 + g*h**4 + y*h**2 + q*h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 87*a - 10542. What is g(119)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:10 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 8. Let t be n(-11). Suppose -t + 7 = -4*b. Let w(f) = -8*f**3 + f**2. Determine w(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -10, 4, 20 in decreasing order.\nAnswer: 20, 4, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/16993, 3\/7, 0.0014 in decreasing order.\nAnswer: 3\/7, 0.0014, 2\/16993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*i + 30789 - 4373 = -18086 - 22014 for i.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641251.3 kilometers in millimeters?\nAnswer: 641251300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*q + 1288 - 2979 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*c + 0)*(2*c + 1 - 1) + 4*c - c**2 - 4*c + (c + c + 0*c)*(0 + c + 0) + 3*c**2 - c**2 - c**2)*(-69*c**2 + 473*c**2 + 15*c**2).\nAnswer: -838*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-9 + (5 - 1) - -17 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 2*k + 5. Suppose 0 = 5*z - 0*z + 4*l + 12, 18 = -3*z + 3*l. Give v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1\/1) + -8. Let y = i - -11. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -9\/11 (c) -2.76 (d) 46\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 2*t**2 - 2*t. Let m be (8\/(-20))\/(15\/(-75)). Let w(y) = -y**2 + y. Calculate m*w(i) + d(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16\/168*3 + 402\/14 and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782439378 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) 2\/11 (b) -2 (c) 2\/3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 5*h**2 - h. Let y be g(-5). Let k(o) = -o**2 - 7*o - 8. Let q be k(-4). Find the second derivative of 2*t**5 + 3*t + 3*t**5 - q*t**y wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k + 2\/45*k**3 + 13\/15*k**2 + 75. Factor v(g).\nAnswer: 2*g*(g + 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1505\/(-21))\/((-250)\/300). Solve 0 = 76*q - r*q - 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*d + 9 = d, -w - 3*d - 1 = 0. What is the second biggest value in -2, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {i: 6, n: 1, t: 4, x: 3}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*(c\/(c*c*c\/c**(2\/7)))\/c)\/c*c)\/c)\/c**6*(c*c**2)\/(c**8*c))\/((c\/((c**(-2)\/c)\/c))**(-50)\/(c*c*c**6*c*c\/((c\/c**(-1\/6))\/c))) assuming c is positive.\nAnswer: c**(10337\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.3, 5, -3, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 2*a**2 - a - 4. Let k be o(-3). Let h be (9\/12)\/(k\/(-8)). What is the third biggest value in 0, 5, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*s - 2*u, s - 4*s + 6 = -3*u. Let l = 83 + -85. Let z be (-1 + (3 - s))*l. What is the highest common factor of z and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/16 - ((-95)\/20 + 2). What is the second derivative of 88*u**2 - 10*u**2 + 40*u - 17*u**v wrt u?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34.35 and 0.3.\nAnswer: -10.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1217792 and 2752?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**2 + 61 - 129 + 67 + 17*r**5 - 2*r**3 wrt r?\nAnswer: 1020*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028465377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 34 = -0*b + f, -4*b + 140 = -2*f. Let h(g) = g + 1. Let i be h(4). Suppose 3*x - b = -i*o, 25 = x + 3*x - o. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2. Let f(x) = 255 - 131 - x**2 - 136. Give f(t(p)).\nAnswer: -4*p**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3.9. Let z be -2 - ((-15)\/(-7))\/(-1). What is the nearest to 0.3 in w, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 631392 * -1.\nAnswer: -631392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -21. Let h(i) = i**3 + 12*i**2 + 10*i. Let s be h(k). Let r be 288\/s - 6\/33. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 + -125. Let d be 19282\/(-93) - (-4)\/o. Let l = d + 446. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*j)\/j)**(8\/9)*(j\/(j\/(j**0\/j))*j)**(-3\/26) assuming j is positive.\nAnswer: j**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13966 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*t = 45 + 2, -4*y - 83 = -5*t. Let z be (-2)\/10 + (89\/(-5) - -2). Let h = z - y. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 3. Let m(i) = -1. Let p(z) = -b(z) + 4*m(z). Let u be p(10). Suppose 6\/7*g + 2\/7 + 2\/7*g**u + 6\/7*g**2 = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2 - 0. Solve 3 - 7 = -n, 2*f - n - l = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -27?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058607000 rounded to the nearest one million?\nAnswer: 1059000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -10, 0 in descending order.\nAnswer: 8, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11668 - -116461\/10. Let v = 43\/2 + p. Which is the third biggest value? (a) v (b) -1\/6 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(8\/9))**(-47)*(n*n*n**(-1\/5))**(-41) assuming n is positive.\nAnswer: n**(-5201\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/231450 and -119\/240.\nAnswer: 1851600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:02 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 513692234 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 3. Let x(q) = -15*q - 20. Let c be 4\/18 - 182\/9. Determine c*z(b) + 3*x(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 - -274. Let h be (-4*(-7)\/84)\/j. Determine b, given that -h*b + 1\/3*b**3 + 2\/3 - 2\/3*b**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 66 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2406 and -52\/63.\nAnswer: 50526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 386747 + 68485 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109850 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5)\/((-1)\/(-5)). Let l = y + 4. Suppose 5*r - 120 = -0*r + l*i, -2*r + i = -49. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 + 0)*(0 + 2 + 0) + 3 - 2 + 1)*(-2*i + 0*i + 0*i)*(1 - 7 + 1) in the form w*i + h and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(1 - (-27)\/(-15)). Suppose 3*m + 180854 = 5*t + k*m, -5*m - 108518 = -3*t. Suppose -292171 + t = -4*z. What is z rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -889714 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/14 (b) -1 (c) 4\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -855, -1367, -2219, -3405, -4919, -6755?\n\"Answer: o**3 - 176*o**2 + 9*o - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from eufu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/876 and 95\/16?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 - 0.08105\nAnswer: -0.62105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(2\/2))\/(-2). Let o(a) = a - 4 + 4 + 2*a**2 - 2. Let c be o(-2). Solve 2*b = v*u + 7, 0*b + b - u = c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*y - 13 + 1030 = 0. Sort 44, y, 4.\nAnswer: y, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 23 = -11. What is the least common multiple of g and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2671336 is divided by 415?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 95. Suppose x - f*x - 132 = 0. Let d(b) = 8*b**2 + 7*b - 8. Let k(y) = 7*y**2 + 6*y - 7. Calculate x*k(t) + 5*d(t).\nAnswer: -2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 22 = 12*p, -5*p + 56 = k + 66. Sort 6, 30, 4, k in decreasing order.\nAnswer: 30, 6, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40205 - 7*s - 40209 + 80414.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*z + 224*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2825, 2816, 2793, 2750, 2681?\nAnswer: 2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + x + 1. Let t be 2*-2*1\/4. Let w(o) = -o**3 + 3*o**2 + 5*o + 5. What is t*w(z) + 3*c(z)?\nAnswer: z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 16*z + 5. Let h be w(-8). Factor 2*d**h + 6 + 15*d - 12*d**3 + 6*d**2 - 6*d**5 + d**5 - 12*d**4.\nAnswer: -3*(d - 1)*(d + 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356 + 6 = -50*f. What is the remainder when 215 is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qynnnnwnqq. Give prob of picking 1 q, 2 n, and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.40678 and 0.05.\nAnswer: 1.45678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 26148372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 1997*q**2 + 516364*q + 514368.\nAnswer: (q + 1)*(q + 304)*(q + 1692)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 6*g - 2*g)*(2 + 3 - 6)*(293 - 85 - 79) to the form q + j*g and give j.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:36 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x + 2*x**2 - 8*x + (3*x**2 + 4 - 4)*(-2 - 2 + 3) to c + t*x + p*x**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -302*y - 412*y + 1205*y + 2*y**2 - 291*y + 6 in the form r + a*y**2 + c*y and give c.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6186, -121, 5 in decreasing order.\nAnswer: 6186, 5, -2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 73306\/9 and 8146 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 4*k**2 - 3*k**2 + (15*k - 8*k + 17*k)*(0*k + k + 0*k).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11311544 (base 6) to base 14.\nAnswer: -92212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i + t, -4*i - 4*t = -9*t - 21. Suppose -i*o - 4*k - 4 = 0, o - k - 7 = -0*k. What is the second derivative of 5*g + 0*g**2 - g**2 - o*g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17495997 and 1767.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.40814 centuries to decades.\nAnswer: 314.0814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**11*((p*p**(-20)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 2. Suppose -10*u + 9 = -7*u. Suppose 10 + n = -u*g. Which is the third smallest value? (a) 4 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -107 + 107 - 9*m + (-15 + 26 + 50)*(3 - 4 + 5)*(2*m - m - 4*m).\nAnswer: -741*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -83. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37307470 divided by 63233\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 433 - 432.95. Let i = -0.02 - -0.12. What is the closest to i in g, -4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718815573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 3}. Give prob of sequence mbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-1\/3)\/t)*t*t*t\/t**(-5\/3) assuming t is positive.\nAnswer: t**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + 55. Let y = 181.18 - z. Let k = y - 2.339. What is k rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*d + 6 - 6)*(-d + 4*d + 0*d)*(0*d - d + 2*d) in the form i*d**2 + u + c*d + n*d**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/11))\/j)\/(j**(1\/3)*j)*(j**(2\/5)*j)\/j*j*j\/(j\/(j**5\/j)) assuming j is positive.\nAnswer: j**(701\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5278500 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 420487 and -772.9.\nAnswer: 419714.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-1\/8)*d))**11\/(d*d\/d**(-1\/8)*d\/(d**(-2\/41)*d*d)) assuming d is positive.\nAnswer: d**(1837\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 52.\nAnswer: 51.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -23\/4877885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2969.48 take away -0.2?\nAnswer: -2969.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 52 = -56. Suppose -8 = 3*x - 2, 2*p - 3*x - 16 = 0. Solve p*t - 2*t = -v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**3 - 3*x**2 + x + 1. Let d be y(3). Let a = -121 + d. Calculate the least common multiple of a and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96095 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/((-36)\/((-1080)\/(-70)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, -2\/25, 0.01, -12, 4.\nAnswer: -17, -12, -2\/25, 0.01, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:54 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from ffyyyyfy.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + -10 + (3 - -1 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -869 divided by -65577.\nAnswer: 869\/65577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 52831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from yec?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 2*f + 3*c, -2*c = -2*f - 2*f + 182. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u - 92. What are the prime factors of x(-9)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 66114463934?\nAnswer: -66114463923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.29, 0.07, 1\/140?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11368 = 4*j + 2*b, 2*j - 5692 = -2*b + 3*b. Suppose j = 116*f - 112*f. Calculate the highest common factor of 79 and f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63530 is divided by 84.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1039612 to three decimal places.\nAnswer: -4.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 101.9. Let w = -0.1 + 3.1. Let o = w - 9. Put o, -5, h in descending order.\nAnswer: h, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -50. Suppose -5*f + 55 - r = 0. Find the third derivative of 7*o**f + 60*o**2 - 75*o**2 - o**5 wrt o.\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*t - 6 = 0, -2*t = -0*t - 10. Solve 3*c - a = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 10. Let r = o - 0. Suppose -12 - 4 = -r*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(-477538*w + 2*w**3 - 22*w**2 - 26*w**2 + 477552*w) in the form b + r*w**3 + k*w**2 + v*w and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -22. Let w be 3\/a - 10\/(-5). Is 10 a factor of ((-21)\/14)\/(w\/(-100))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3013*f**2 - 387*f**2 + 83*f**2 + 385*f**2 in the form k*f + x*f**2 + d and give x.\nAnswer: -2932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from nnnyznhnw.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/5 - 357*q**4\/5 + 1476*q**3\/5 - 48*q**2\/5 - 5856*q\/5 + 5904\/5 = 0. Calculate q.\nAnswer: -123, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + 95\/(-15))*(2 - 8). What is the closest to 0.1 in -0.2, y, -5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.53573 years?\nAnswer: 0.0053573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 399*c**2 + 120*c**6 + 508*c**2 - 1 wrt c?\nAnswer: 14400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 9) to base 8\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/720 - z**4\/24 + 5*z**2. Let c(o) be the second derivative of u(o). Let r(y) = 4*y. Calculate r(c(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**2 - 5*s + 8*s**2 + 3*s to the form m + n*s + x*s**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n - 4115 = -5942. What is the remainder when 100 is divided by n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7822 is divided by 7517?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14919295 is divided by 2722.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9 - 7. Calculate the greatest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let y be ((-1)\/l)\/((-1)\/8). Let b(r) be the second derivative of -r**4\/12 + r**3\/2 - 7*r. Calculate b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 4 - 6 - -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 84 - 84)*(54 + 89 - 8)*(9 + 3 - 6) to the form n*h + i and give n.\nAnswer: 2430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**7\/84 + t**6\/30 - t**5\/40 + 45*t + 11. Let z(k) be the first derivative of o(k). Factor z(r).\nAnswer: -r**3*(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {m: 3, k: 1, n: 2, s: 4, v: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 55*w**3 + 265*w**3 - 2*w**2 + 208*w**3.\nAnswer: 418*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/5 + 17\/10. Let g = -0.8 + 3.8. Which is the third biggest value? (a) s (b) -1\/5 (c) -0.5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390760\/(-6)*(-99)\/132 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*l = 54. Let n be (2 - -24)*1\/(-2). What is the smallest common multiple of (4\/2)\/((-2)\/n) and l?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3824601 to the nearest integer?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t**2\/7 - 102*t\/7 - 20\/7 = 0.\nAnswer: -10, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767010189.\nAnswer: 3, 11, 23242733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 21743*b**2 + 369958*b - 826880 = 0. Calculate b.\nAnswer: -19, 2, 21760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 297*o**2. Let r(a) = 4*a - 25. Let f(q) = q - 5. Let i(b) = -5*f(b) + r(b). Calculate i(w(d)).\nAnswer: -297*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*m = -518*m + 3*w + 14, 3*w + 16 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*q - 3*q. Suppose 6*i = -13 + 1. Calculate the common denominator of (44\/(-32))\/(i\/q) and -23\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 619.4 and -0.354661?\nAnswer: 619.754661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/10 + 4)\/(-4 + 1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 11*t**2 - 7*t + 26. Let l be w(-12). Let h = l + 30. Which is the biggest value? (a) h (b) -1\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Let z = -3 + q. Let w = 1 + -2. Sort w, -4, z.\nAnswer: -4, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/3, 2, 1.\nAnswer: -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 965 - 124 = 0. What is the remainder when 179 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38394 by -162.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6553 is divided by 81?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 20. Let a(j) = -2*j + 16. What is the remainder when 19 is divided by a(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -5) + (-19 + 10 - -21 - -31).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17619830 divided by -5?\nAnswer: -3523966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 - 2*j**2 - j + 2. Let b be o(1). Suppose -z = -b*z + 3. Sort -2, z, 0.\nAnswer: -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 221*m + 2286. Determine i(231).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -147747, -147685, -147573, -147405, -147175?\n\"Answer: x**3 + 19*x**2 - 2*x - 147765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*o - 395*o**2 + 1 - 6*o - 14*o - 14*o - 15*o as j*o + c + m*o**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 5. Let u(r) = 5*r - 6. Let d(l) = -6*l + 105. Let t be d(17). Give t*u(y) + 4*s(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k + 0*k**3 - 1\/24*k**4 + 0 - 8*k**2. Let j(b) = 5*b - 1. Let z be (-1)\/(((-10)\/12)\/(-5)). What is z*u(x) - j(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 15*q = -10*q + 70 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 42 = 2*s, -v + 7*s + 24 = 11*s. Find z such that 44*z**2 - v*z**3 - 117*z**4 + 73*z**4 - 15*z**5 + 7*z**5 + 20*z = 0.\nAnswer: -5, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 14. What is n(22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 20, -4*t + 7*o = 9*o - 20. Solve -2*c = -t*d - 18, 4*d - 2*c + 1 = -21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2052658 is divided by 108008?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.05, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from {c: 2, p: 7, r: 1, s: 1, a: 6}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = -4. Suppose 3*j - 7*j = 0. Suppose 0 = -j*m + 5*m - 70. Calculate the greatest common factor of z and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) 49 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 126, 189, 252, 315?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*r - 16 = 0, 0*s + 16 = -s + 4*r. Suppose 15 = -16*a + 51 + 54 - 10. Solve s = -3*m - a*b - 1, -2*b = 2*m + b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s + 11 = 58*s. Let u be 0*(-1)\/(-2) + 1. Let j = 2 + u. Solve j*f - 9 = 2*m, -3*f + 4*m - s + 16 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 4*g + 11*g**2 - 13*g**2 - 1 - 5*g**4 to h + v*g + l*g**2 + o*g**4 + y*g**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 1, 6, 5, 3, 0 in descending order.\nAnswer: 39, 6, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28870 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53017 is divided by 5785.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12*z - 42. List the prime factors of t(-16).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*u + 11 = 0, -3*v + 6*u - u = -21. Suppose -157 = -5*f - v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycnncppcnnppcnn. What is prob of picking 2 c and 2 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + v**2 - 2*v**2 + (10 - 4 + 8)*(2*v**2 - 3*v**2 - 2*v**2) as g*v + i + d*v**2 and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2*((-798876)\/10660 + 75))\/2?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 27 = -16*o. Let n = o - -30. Solve -2 = p - 3*q, q - n*q - 16 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/52*208\/288?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 773*t. Let d(v) = -3*v. Determine d(f(i)).\nAnswer: 6*i**2 + 2319*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsw when three letters picked without replacement from wwsw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008.0781 rounded to zero decimal places?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 133360 divided by 80?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1048, 1, -3, -1, 1794 in decreasing order.\nAnswer: 1794, 1048, 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16969 + 53346. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101 + 11101?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -24*i**2. Let y(z) = -22*z**2 + 7*z - 42. Let j(b) = -22*b**2 + 6*b - 36. Let d(h) = 7*j(h) - 6*y(h). Calculate d(l(u)).\nAnswer: -12672*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34888768?\nAnswer: 2, 347, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 9, 3025 in increasing order.\nAnswer: -6, 9, 3025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5\/4 - 45*t**4\/2 - 168*t**3 - 753*t**2\/2 - 1341*t\/4 - 105 = 0.\nAnswer: -20, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69251 and 2429?\nAnswer: 24030097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 3 + (34 - (46 - 4)) - 3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -193, -290, -387, -484?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 159\/13417250 and 47\/55760.\nAnswer: 107338000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16936.00170654 + 16936. Round s to five dps.\nAnswer: -0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 117 = 5*m - 115, 6*d - 32 = 4*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxzhhxhxxxhzhhx. What is prob of sequence hzx?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -30, -105, -252, -495, -858, -1365?\n\"Answer: -4*p**3 + p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0498 * 0.06\nAnswer: -0.002988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 465024 and 96?\nAnswer: 465024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 145391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-80)\/(-25))\/(1\/5). Is m less than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 10. Suppose -104 - 13 = 9*k. Let q(f) = f**3 + 12*f**2 - 14*f - 11. Let z be q(k). Calculate the lowest common multiple of 11 and j(z).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -0.13. Let v = 1.1 + -0.3. Let t = 0.7 - v. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(128) + 1 + 1 + sqrt(128) - (5 + sqrt(128) + -2))*1)**2.\nAnswer: -400*sqrt(2) + 3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.28 + -10. Let t = -10.88 + 10.76. Let k = c - t. Put -2, k, -1\/3 in decreasing order.\nAnswer: k, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.99 and -145.\nAnswer: -144.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/6 + 11*k**3\/6 - 3*k**2 - 7*k. Let b be 1*-1 - (-36)\/(-4). Does 12 divide q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12593339 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -11 - -2 - ((-4 - -6) + -10)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93.211 - 0.211. Let z = 89 - t. Which is the third smallest value? (a) -15 (b) z (c) 0.4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/9*2602\/(-24). Let n = 145 + c. What is the nearest to 2 in -1\/5, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238247888 a multiple of 1620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895.\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kko when three letters picked without replacement from kwkyoykk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.05 + -18. Which is smaller: m or 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 4:25 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (0 - 14 - (250 - 274))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556300228 to the power of 1\/3, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -181 (b) -3\/2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319951 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 504 and 8946.\nAnswer: 35784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6637379892 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 60*o + 722. Calculate z(-43).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*j - 3*p + 18, -4*j = -2*p - 28. What are the prime factors of 1\/(-3) - 1*(-1184)\/j?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 175799180 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 13 = -1985*s + 1981*s, s + 27 = 6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36076, 36075, 36074?\nAnswer: 36073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9078 and 9996.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -153935881.78 rounded to the nearest 10000?\nAnswer: -153940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hssgghkggkh. Give prob of sequence gskg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115369 is divided by 16481.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.984 + -11.984. Let f = -0.45 - -0.26. What is the smallest value in f, -0.09, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8699741 and 6119.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9474*g**2 + 27285*g.\nAnswer: 18948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u. Let k be s(4). Let z = -18 - k. Sort 5, z, 4.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25099, 50196, 75293, 100390, 125487?\nAnswer: 150584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:57 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/19)*l**(-5))\/((l*l*l\/l**5*l)\/(l*((l\/l**(-14))\/l)\/l)) assuming l is positive.\nAnswer: l**(189\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-3)*(-6)\/(-15). Let f be ((-12)\/63)\/(6\/(-7)). Which is the nearest to 1\/2? (a) q (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Is 30 a factor of 3900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.09 or 1547464?\nAnswer: 1547464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 42 + s + s**2 - 6*s - 37)*(-3*s + 0*s + 4*s)*(2 + 0 - 1).\nAnswer: -4*s**4 + s**3 - 5*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + -4*(sqrt(117) + 0)*1 + 5)**2.\nAnswer: 48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 96. Let g = -32.029 + x. Let u = 0.0289973 + g. What is u rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 581*o - 10457. Give c(19).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 13, 31, 75, 157, 289, 483?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-55)\/(-15))*27\/42. Are 1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 644320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26518, 53041, 79588, 106171, 132802, 159493?\nAnswer: 186256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**3 + 20*l - 171?\nAnswer: 6*l**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1506 and 141.\nAnswer: 70782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.05 in 0.2, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 34*t**2 + 9*t - 22.\nAnswer: (t + 1)*(t + 11)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - -129. Calculate the remainder when -2 + 1\/(2\/a) is divided by (3 - 0) + (-6 - -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1469, -1520, -1569, -1616, -1661, -1704, -1745?\n\"Answer: h**2 - 54*h - 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111.5 - 112. What is the nearest to -0.2 in a, 0.5, 3\/5, 39?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/8 + 28471*l**2\/4 - 63660887*l\/8 + 4405554111\/2 = 0.\nAnswer: -58044, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10696 = 25*a - 39*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(85) + sqrt(85)*-4 - sqrt(85))*-2)\/(sqrt(80)*5 + sqrt(80)) + -4 + 5 + -2))**2.\nAnswer: -8*sqrt(17)\/3 + 104\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(700) + 2 + -1)**2 - ((sqrt(7)*1 + 4)**2 + 1)*4.\nAnswer: -12*sqrt(7) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, b: 8, h: 3}. What is prob of picking 1 w and 2 h?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 225. Let p be g(53). Solve 2*m - 9 = -p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 64486.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*-2 - 256\/(-240)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: c6328 (base 14) to base 10\nAnswer: 478080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**6\/3 - 2*n**5 + 3*n**4 + 69. Factor z(p).\nAnswer: 2*p**3*(p - 3)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 10*g + 10. Calculate q(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a7 - 2?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 14*g**2 - 57*g - 34. Let k be x(-17). Let j = 746\/11 - k. Let t = 0.11 + -0.13. Is t bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 4*m**2 - 4*m - 5. Let v be q(-5). Let h be (-22)\/(-6) + v\/15. Suppose -5*p + 49 = 4*r, -h*p + 0*r = 2*r - 29. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 11 (b) 1 (c) 2\/65 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 14*b**2 - 2*b - 26. Let o be f(-14). Let g be 4\/14 - (-130)\/35. Solve g*u = -5*p - 25, o*u + 0*u + 5 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a12 (base 12) in base 11?\nAnswer: 4a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 38 - 3) + -33?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 171.3758424.\nAnswer: 175.3758424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d**2 - 19*d**2 - 23*d**2)*(5615 - 3*d + 0*d - 5973).\nAnswer: 66*d**3 + 7876*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28644.\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120198 and 36984?\nAnswer: 480792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*q**3 - 48*q**3 + 5*q**3 + 3077*q**2 - 3079*q**2 + 13*q**3.\nAnswer: -134*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 199435546 divided by 4?\nAnswer: 99717773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 4. Let o(h) = -h + 28. Let k be o(0). Suppose 0 = 3*m + 10 - k. What is the tens digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -17*p - 866. Let v be w(-51). Which is smaller: v or -2\/1021?\nAnswer: -2\/1021","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-154)\/(-42) - (2 + 4\/(-3)). Suppose -d*x - 42 = -6*x. Suppose -c - 6 + x = 0. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k - 212 - 265 = -21 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -250, -243, -232, -217?\n\"Answer: 2*w**2 + w - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 182279?\nAnswer: 8931671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/55*5*(-2)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3\/3 + 5*f**2\/2 + 31*f - 21. What is the units digit of t(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*r*y**4 + 293386*r - 3759609*y**5 + 3*y - 9 wrt y?\nAnswer: -72*r*y**2 - 75192180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 4. Suppose 13*a = -38*a + 204. Calculate the remainder when 155\/a + (-2)\/u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhjj when four letters picked without replacement from {h: 1, j: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.43 + -0.03. Let r = d + -0.4. Let u = -212.6 - -208.6. What is the nearest to 0.1 in 1\/3, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79908 less than or equal to 79911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50434, 100911, 151426, 201997, 252642, 303379, 354226, 405201?\nAnswer: 456322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -79.52279?\nAnswer: -79.32279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3978 and 278852496.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 114 = -2*l + 3*f, 4*l - 119*f + 116*f = -18 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 u, and 2 l when four letters picked without replacement from {d: 5, u: 2, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + m + 101, 0*r + 2*m - 50 = -2*r. Solve a - 3*a + 5*p = r, 15 = 5*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f - 1. Let k be l(7). Let j = -23 - k. Let w = j + -18. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 10. Suppose 215 = l*n - 210. Suppose m = 2, 0 = -3*f - m - m + n. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/56)\/((-15)\/40). Let k be (-45)\/210*-2*2\/3. Factor -w*i + 4\/7 + k*i**2.\nAnswer: 2*(i - 2)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 7, f: 2}. Give prob of sequence ffl.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:26 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 + -4 + 5) - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 52. Let a be z(0). Let o be (-34)\/a + 1\/(-2). Suppose 2*j = 2 + 8. Put j, o, 1\/4 in decreasing order.\nAnswer: j, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 2005*h**2 + 48615*h + 50625.\nAnswer: 5*(h - 375)*(h - 27)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10982*b**2 - 5*b - 173. Let u(j) = 3*j. What is a(u(p))?\nAnswer: -98838*p**2 - 15*p - 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrfffff. Give prob of picking 1 r and 3 f.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:12 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22 - -21)\/((30\/(-100))\/(12\/(-10))). What is the third biggest value in -0.1, -2.7, 6, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17510*r**3 - 21814 wrt r.\nAnswer: -52530*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 + -11.82. Let w = i - -12.1. Let y = w + -0.6. Which is the third smallest value? (a) y (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333749916 and 30636.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - o - 2, -4*p - 5 = 5*o - 4. Calculate the common denominator of 28\/(-66) - (4 - (-266)\/(-42)) and p*3 - (-190)\/(-18).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9236.\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 79*g**5\/60 + 11*g**4\/4 + 17*g**2 - 5. Find the second derivative of f(b) wrt b.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7672.651 nanograms?\nAnswer: 0.007672651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 2. Let x be i(-2). Let k be (-2)\/x + 26\/5. Let t be (-1)\/(-2*(-3)\/(-30)). Solve n + w = k*w + 10, 5*n - 5 = t*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139026\/7191*(-1)\/(-8)*-6*4?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1579881045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16599 or 16598?\nAnswer: 16599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 116, -1 in decreasing order.\nAnswer: 116, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12528145 and 1015.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 25*q + 31. Calculate s(23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-854)\/(-4) + -3 + 9\/2 is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:19 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*o + 330*o - 172*o + 75852 = 1125*o for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117863357, -117863358, -117863361, -117863366, -117863373, -117863382, -117863393?\n\"Answer: -g**2 + 2*g - 117863358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**2 + 7. Suppose -o = -0*o - 2. Let y(l) = -3*l**2 - 1 - 2*l**2 + 0*l**o - 2. Let t(h) = 6*g(h) + 14*y(h). Let k(r) = 3*r. Determine t(k(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3611469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -1\/3*h**3 - 2 + h + 5\/2*h**2. Let l be (-20)\/(-7) + 5\/35. Give w(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/52)\/(-1 - 0)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -505*h**2 - 538340*h - 10660.\nAnswer: -5*(h + 1066)*(101*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5 - 3)*(2 + 84 - 56).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**4*q + 6*g**4 - 524*g**3*q - 14249*g**2*q + g*q - q wrt g.\nAnswer: -72*g*q + 144*g - 3144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30686, 61820, 92954, 124088, 155222?\nAnswer: 186356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*f + 262*f - 36 - 34 = 0. Suppose 0 = -u + 2*u - 2. Solve 4*m + 0*m = -u*w - 12, 4*m - 5*w = f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 197.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*u - 121*u - 340 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2052.98ml?\nAnswer: 2.05298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from zewcgzgcgzwgggzgzcz?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/8102 - -599503\/364590. Calculate the common denominator of z and -82\/33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -794 + 794.4. Put -667, x, -1\/4, -1 in decreasing order.\nAnswer: x, -1\/4, -1, -667","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-670)\/40 + 17)\/(3\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -1201, -4057, -9605, -18739, -32353, -51341?\nAnswer: -76597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/4 + (-3 - -4) + 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -12)\/20 + (-194)\/(-4). Which is smaller: 50 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.1 + -63. Let b = 4.9 + d. Sort -0.3, -16, b, 1 in descending order.\nAnswer: b, 1, -0.3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15*a**3 + 3*a**2 + 2*a - 1. Suppose -5*r - 8 = -3*t, 4*t = r - 4 - 8. Let c be b(r). Is (-1)\/(-4) + c\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15730?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 873 = 5*c + 230, -3*c = 4*h + 2199. Let o = 2234 + h. What are the prime factors of o?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, f: 3, u: 3, b: 1}. What is prob of sequence uuh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104011 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/3 + t**3\/2 + 5*t**2 - 3*t + 10. Does 9 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287\/7062 - 100\/107. Let b = 5\/22 + j. Is -2 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + ((-4670)\/275 - -8) + (-2)\/10. What is the closest to 7 in -4, 0.2, -3, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*z - 13 = 0, 5 = 14*z - 13*z. Solve 0 = -3*o - 15, -j*c - 3*o - 23 = 2*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:05 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 687243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.06, 1.386?\nAnswer: 1.386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115811 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n + 102 = 0. Suppose -3*w - 3*k + 43 = -k, -4*w - 2*k + 60 = 0. Calculate the greatest common factor of n and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 26. Let g = 249675 - 249696.0053. Let d = n + g. Round d to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayayymmybyway. Give prob of sequence bm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 - 20\/3. Let f(m) = 2015*m - 1833. Let l(v) = -106*v + 95. Let r(n) = 2*f(n) + 39*l(n). Is r(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2160 and 1424?\nAnswer: 192240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -433 in descending order.\nAnswer: 9, -1, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + r - 11 + 0*r**4 - 2*r**4 in the form o + k*r**4 + d*r + t*r**2 + u*r**3 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -11112 > 7757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5906.61 to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55160324347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*u = 78. Let k = u - -80. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 11*i - 18. Let r be x(7). Let v be (-29)\/(-5) + (-38)\/r + 4. Suppose -446 = -v*q + 1312. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2543081, -5086161, -7629241?\n\"Answer: -2543080*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 288 = 0. Suppose 4*u = -0*u + p. What is the remainder when u is divided by 4 + (-8)\/(8\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q**2 - q - 1. Let n(b) be the second derivative of -b**5\/4 - b**4\/3 + 7*b**3\/6 - 3*b**2 - 1178*b - 2. Give -n(c) + 6*y(c).\nAnswer: -c**3 - 2*c**2 - 13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = h - 2*u, -4*u = h - 4*h + 27. Suppose 5*i = -3*b - 12 - h, 2*i + 4*b + 4 = 0. Let k(p) = p**3 + 4*p**2 - 2*p - 3. Give k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 + 13*m**4 + 60*m**3 + 112*m**2 + 64*m.\nAnswer: m*(m + 1)*(m + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -i - 9*o + 90, -2*i + 148 = 2*o. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-26)*a)\/a)\/(a\/a**21) assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (45 - (-15 - ((4 - 54) + 16))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33594*h**2 - 17 + 1 + 12 + 4 + 33595*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154 + 2*o**3 - 154 + 6*o**2 + 0*o**2 + 0*o**2 + 2*o**3 + (-3 + 3 + 2*o)*(0*o**2 - o**2 + 3*o**2) to y*o**2 + w*o + d*o**3 + j and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 0 - 60 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 2*x**2 - x + 6. Let h be g(-3). Solve -v + 8 + 16 = 4*y, h = -2*y + v + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*o - 28, -198*o + 203*o + x = 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 1. Let o(j) = 4*j. Suppose 2*x + 2*y + 0 = -2, 3*y + 7 = x. Let k be o(x). Let b(t) = 4*t - 1. What is k*b(d) - 3*a(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 606185, 0, 1\/2, 10?\nAnswer: 606185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 214 - 210. Suppose -5*n - 158 + 829 = -3*x, -550 = -v*n - 2*x. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 4\/7, -2.\nAnswer: -2, 2\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2013*f**2 - 878*f**2 - 1133*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a552 (base 11) to base 14.\nAnswer: -23aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -5, -0.1, 1, 2, 21307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = -3*l, -2*v + 2*l + 19 = -l. What is the units digit of (13\/v)\/(-1)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 4*s - 5. Let n be j(5). Suppose n = 10*x - 5*x. Suppose -1793 = -x*g - 6*g. List the prime factors of g.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-54)\/5 - 11\/(-55). Let h(n) = -n**2 + 10*n + 15. Let v be h(d). Let r be 4*-2*(-2)\/v. Solve r*c = -3 - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37240 - 1117081\/30. What is the common denominator of 52\/25 and j?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b**(-4)*b)\/b)*b*b**(-4\/7))**15*((b**(1\/4))**(2\/3))**39 assuming b is positive.\nAnswer: b**(1441\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 934.866 + -935. Which is the biggest value? (a) f (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309096 by -4.\nAnswer: 77274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127966 by -127966.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (2\/8 - 10\/8). Suppose 126 = j*p - 2*p + c, 5*c = 2*p - 231. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 77?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3535240?\nAnswer: 2, 5, 31, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3727890 is divided by 1242621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492 (base 13) in base 15?\nAnswer: d47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n + 16*n - 13*n as b + i*n and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w - 20. Let h(o) = -o + 19. Let l be h(24). Calculate the remainder when 51 is divided by s(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 18628.49\nAnswer: 93142.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1882.4042 and -0.08?\nAnswer: 1882.3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p + 1. Let x(z) = -5*z**3 - 13*z + 194. Let r(a) = 6*t(a) - x(a). What is the derivative of r(w) wrt w?\nAnswer: -3*w**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 22*s**2 + s + 1. Let o be i(-1). Let n = o - 44. Let x = 24 + n. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3 + -5)*3)\/(-1). Suppose -p*k + 2*k + 2 = 3*f, 2*f = -4. Solve -3*o = 4*y - 19, k*o + 2*y = 6*o - 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 509, 764, 1289, 2174, 3509, 5384?\nAnswer: 7889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(352) - sqrt(22))\/(sqrt(2156)\/sqrt(4)) + (sqrt(20)\/(sqrt(10)*-2) - sqrt(2))*-6 + 3 + 0.\nAnswer: 3 + 82*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 10*m**2 + 10. Suppose 33 = 6*b - 27. Let w be x(b). Differentiate -13*o**2 + 0 + 1 + w*o**2 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from wzeozeoozeozj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - 151*l + 87. Let g be p(38). Suppose -4*b = -800 - 512. Let o = b - g. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -18240*f**2. Let k(x) = -11*x**2. What is c(k(q))?\nAnswer: -2207040*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (731\/3010*-14)\/((-13)\/(-390))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 171*b**2 + 3903*b**2 - 507*b**2 + (2*b - b + b)*(-b + 4 - 4) - 2 + b**2 + 2 in the form x*b**2 + j*b + k and give x.\nAnswer: 3566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -19. Let j = r + -2. Let d = j - -10. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2736\/532*1638\/4. Calculate the greatest common divisor of 78 and z.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27368 + -5304. What are the prime factors of k?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3804 is divided by 778?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/124 and -27\/1240.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 16*g + 14. Let d be f(-13). Is (2 - d) + -4 + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 919428 and 408?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by -3.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, o: 3}. Give prob of picking 1 o and 1 h.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 16 = -4*x, -2*d - 3*d = x + 26. Is -4 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 24*a**2 + 9. Let i(o) = -5*o**2 - 3*o - 15. What is i(c(u))?\nAnswer: -2880*u**4 - 2232*u**2 - 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7477675 + 0.16697?\nAnswer: -7477674.83303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16794 - 2*k**2 + 935*k - 15302 - 2*k**2 + 624*k - 71*k.\nAnswer: -4*(k - 373)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 1. Let f(c) = -5*c + 6. Let s(w) = f(w) - 6*z(w). Suppose -48 = -0*b + 4*b. Let g be (3\/2)\/(b\/32). What is s(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, h: 1, y: 3, x: 6, z: 4}. What is prob of picking 2 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 8*m + 7*m. Suppose -4*v - 5*d + 781 = -131, -4*v = -2*d - 940. Calculate the remainder when v is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 15022368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k - 197. Determine x(48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(sqrt(1900) - sqrt(1900)*-1 - sqrt(1900)) + sqrt(1900) + sqrt(1900))**2 + ((2*sqrt(1900))**2*5 - sqrt(1900)).\nAnswer: -10*sqrt(19) + 68402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20726 + -1?\nAnswer: -20727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*((-5*g + g + 3*g)*(-3 + 1 + 1) - g + 0*g + 2*g + (3 - 1 - 3)*(-4*g + g + 2*g)) + 2*g - 13*g - 14*g to h + d*g and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -503 + 666. Let d = 260 - m. What are the prime factors of d?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5115599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/2, 213, 911\/34, 1\/2, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 2:39 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590786 is divided by 6218?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m - 599 = 221. Calculate the remainder when 42 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199.1 - 13.1. Let v = n - 187. Are -20\/21 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-4))\/((-3)\/(-72)). Let c be (u\/(-21))\/((-1)\/(-7)). Calculate the highest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -845*k. Let h(r) = 13*r**2 + 786*r. Determine x(h(c)).\nAnswer: -10985*c**2 - 664170*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1268776.\nAnswer: 6343880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -808\/11 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 328, 311, 274, 211, 116?\n\"Answer: -g**3 - 4*g**2 + 2*g + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.8, 0.8, 2.\nAnswer: -7.8, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65629?\nAnswer: 65629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4012 by 16.\nAnswer: -1003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957519638?\nAnswer: 2, 478759819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 5*z**2 - 2*z - 6. Let w be l(4). Suppose -6 = 5*r + 4*a, -3*a = r - 8*a - 22. What is the greatest common divisor of r and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -836 + 5854\/7. Suppose -4\/7 + 2\/7*h + x*h**2 = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, a: 11, x: 1}. Give prob of sequence avax.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 64*a = 361 - 5281. Solve -23*s + a = -38*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40014 - 253.\nAnswer: -40267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + 64. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 - 25*y + 26. Calculate s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*sqrt(245) - sqrt(245)))**2 - ((3 + sqrt(25)\/sqrt(5))**2 - (sqrt(320) + 2)**2).\nAnswer: 26*sqrt(5) + 220810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(700) + -3 + -2 + sqrt(700))**2 - (-4*sqrt(700)*-3)**2).\nAnswer: 800*sqrt(7) + 391900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -7158?\nAnswer: 2\/3579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103915 is divided by 279?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 448*b**2*u**3 - 122252412*b**2*u + 27*b*u**3 - 3*b*u**2 - 1436*u**3 wrt u.\nAnswer: 2688*b**2 + 162*b - 8616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*r - 22 = 6*r, 0 = 2*k - 5*r - 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 + 397 = 4*i - 5*n, -i = n - 60. Let p = i - 64. Let h be 0\/(-1 + 4 + p). Let y(r) = r - 6. Give y(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -531 + 533. Suppose -3*s + 17 = -u, w*s - 20 = -0*u + 5*u. Solve 2*z = 7*z - 2*x - 33, 10 = -2*z - s*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1242 and -85\/1692.\nAnswer: 116748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*((-2142)\/427 - -5). Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:57 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313588650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 1\/60*u**6 + 0*u - 4 + 0*u**3 - 3*u**2 - 7\/30*u**5 + 0*u**4. Let m(y) = 0. What is y?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 27 = 5*k, -3*c + 1 + 2 = -5*k. Let f = k + 6. Is (-3 - -3) + f - -4 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h = -5*o + 123, -13 - 1 - 22 = -0*o + 2*o + 5*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 875*j - 154458. Determine k(151).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.9 - -1.6. Let w = 6 + v. Let r = -0.4 - w. Which is the closest to r? (a) 5 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.674 + -0.226. Let j = -33 - f. Put 3, j, 4 in decreasing order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9) - (-58)\/6. Suppose 36 = -2*f - 4. Let l be 81*(f\/(-4) + -4). Calculate the highest common factor of l and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 - 1)*(44*w + 109*w - 90*w) - 3*w + 2*w + 3*w - 3*w + 4*w + w)*(-2 + w + 2).\nAnswer: 67*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8*l = -3*y - 27 - 6, 7*y + 6546*l - 9 = 6542*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087 times -3?\nAnswer: -0.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2. Let g(s) = -6*s**2 - 4*s + 20. Let j(v) = -g(v) + 5*y(v). Suppose -r + 4*r + 12 = 2*i, 2*i - 5*r = 16. Is 8 a factor of j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -38*t + 300. Calculate v(9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -273211\/103152 - -6\/2149. Let x = 427\/36 - 37\/9. Calculate the common denominator of p and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-18))\/((-1)\/27). What is the third derivative of o**2 - b + 9 - 2*o**6 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-10))\/(51\/(-1360)). Calculate the greatest common factor of t and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 28*w + 25*w = 3, w - 15 = -3*q. Suppose 3*f = -q*k + 50171, 50*f + 12514 = k + 45*f. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {r: 1, x: 2, v: 5, w: 5, g: 6}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/65*(-2845)\/(-6828).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-72) + 6 + (-206)\/33?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*-450\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-one fifths of a millennium?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 15*z - 64. Suppose z*v - 209 = 279. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 1160*z - 1164*z - 4, 0 = 8*z + w + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38508348 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162617187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001075103 to seven dps.\nAnswer: -0.0001075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 5)\/((-1)\/4*1). What is the third derivative of -7*g**5 - 96*g + u*g**2 + 37*g**2 + 6*g**4 + 48*g + 47*g - 15*g**2 wrt g?\nAnswer: -420*g**2 + 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -v + 30. Suppose 3*o - 84 = -v*a + 2*o, 2*a = -5*o + 52. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2250 = 780. What are the prime factors of d?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1c78?\nAnswer: -1c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h + 22. Let l be v(-3). Calculate the highest common factor of l and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -138, -176, -192, -186?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((1 - 2)*2). Let g(i) = i**2 - i. Let d be g(m). Suppose d*l - 110 = -5*l. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767797?\nAnswer: 41, 43117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -437ca (base 14) in base 13?\nAnswer: -5951a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 32454426858 - -3.\nAnswer: 32454426861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -673478471*y + 636440756.\nAnswer: -673478471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + k**2 + k + 86. What is the remainder when o(0) is divided by 7 + -9 + 4 - -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrx. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*x + 27, -3*x + 8*x + 2*f = 33. Suppose -x = 3*j + 7. Let l(h) be the second derivative of -h**3\/6 - 5*h**2\/2 + 17*h. Give l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -136. Let u = -11.1 - y. Let l(d) = -38*d**3 - 1. Let a be l(1). Do a and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 9, -h - 4*j = -2*h + 15. Suppose h*d = 2*d + 86. Let r = d - -9. What is the remainder when r is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2888580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -263*s**2. Let u(c) = -4*c. Determine a(u(o)).\nAnswer: -4208*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1543, -3048, -4525, -5974, -7395?\n\"Answer: 14*f**2 - 1547*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*j - 3107 = -4083 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1 + 0) - (-90023539)\/(-1323). Let u = 68044 + q. Let z = 19757\/29106 - u. Find the common denominator of z and 31\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80662019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -170729251 and -23.\nAnswer: -170729274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 137850283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.094 and 1039.39?\nAnswer: -97.70266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45851973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o - 12*o - 360 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 19*f + 23. Let v be s(-18). Let h(z) = 5*z + 2. Let r be h(2). Suppose -r = -b - v. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 3*c. Let o(n) = -2*n. Let q(g) = 2*l(g) + 3*o(g). Let d(h) = -34*h**2. Calculate q(d(z)).\nAnswer: 2312*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517047 times -4?\nAnswer: -2068188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 110*m**2 + 37*m. List the prime factors of s(-4).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + o = 11, -2*o - 4 = -2*u - 2. Find the third derivative of -x - 2*x - 3*x**2 + u*x - 2*x**4 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -11.3, 4, 0.101, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/15)\/(10\/15*19)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 2*j + 5. Let r be y(4). Let l = -12 - r. Let g = l - 4. Calculate the least common multiple of g and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*h - 2*o, 2591*h = 2596*h - 2*o + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a**2 - a + 17. Is o(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 86 + 2. Suppose 0 = 5*m - 4 + x. Let s be (-75)\/(-50) + 2\/(m\/(-10)). Solve 5*v + 3*b = 31, 0*b = -v + s*b - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**3 - 195*v**2 - 40*v + 60. Let h be b(33). Which is bigger: 2009 or h?\nAnswer: 2009","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1510\/9, 0.5 in decreasing order.\nAnswer: 1510\/9, 0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/299)\/((-4)\/(-13))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63935660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -204373 divided by -79\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.2. Let f = -0.7 + 1. What is the third smallest value in 1\/12, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7078301 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0*u**3 + 53*u + 3\/2*u**2 + 0 - 13\/12*u**4 - 2\/5*u**6 + 0*u**5. What is the third derivative of x(y) wrt y?\nAnswer: -288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 6 - 198. Let i = w - -37. What is the least common multiple of i and -8*10\/(-12) - 6\/(-18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Let n = -22 + 23. Let x(y) = -n + y + y + s - 1. Let g(o) = -2*o - 3. Give -3*g(r) - 4*x(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7204191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = d + 24430 - 24441, d - 61 = -6*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23954998076 to five decimal places.\nAnswer: 0.23955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36537 and 12179.\nAnswer: 36537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27.13 * -0.08\nAnswer: 2.1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1. Let d(b) = b - 3. Suppose o + 2*k + 4 = -3*k, 0 = 2*o + 2*k. Calculate o*d(z) - 3*a(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3806951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1886 + 430. Let h = o - -1455.9998461. Round h to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*g + 33*g + 653*g + 17 + 5*g - 17 + 2*g + 2*g - 2*g + (2*g - 3*g + 0*g)*(6 - 4 - 4) + 4*g + 2 - 3*g + 0*g as q*g + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 261581 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.104 - -30.396. Let g = 31 - u. Let t = 6 - 8. Sort g, -1, t in decreasing order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2) - -5 - 1. Let y be (-22)\/(-4 - (2 - 4)). Let t = y - n. Calculate the greatest common factor of 32 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 398 + -333. What is the derivative of -y*i + 146*i - 111 - 66*i - i**4 wrt i?\nAnswer: -4*i**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/150)\/((-4)\/(-40)) + -16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of (-7)\/(-70) - (-50638)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 470\/9 - 10\/45. Let d = y - 25. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -1\/72*n**6 - 14*n - 10\/3*n**4 + 0 + 0*n**2 - 5\/6*n**3 + 1\/3*n**5. Let r(v) be the second derivative of u(v). Factor r(c).\nAnswer: -5*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -785374491844?\nAnswer: 785374491843.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -4170.\nAnswer: -4166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 380116*j*n**4 - j*n + 45*j - 21*n + 2 wrt n?\nAnswer: 4561392*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 62 + -3 + -23.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -29, -1, -2 in ascending order.\nAnswer: -29, -2, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 11:42 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 0)*-2 + sqrt(1573) + 4*(sqrt(1573) + sqrt(1573)*1) - 6*2*-1*sqrt(1573))**2*4 + -4 + 0.\nAnswer: 2271408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + 54. Suppose -9*j + 6*j = -x. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.2 - 39.2. What is the fourth smallest value in -0.3, m, -16, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 - -136a55?\nAnswer: 136984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 583246 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1\/6, -3\/17, 1\/8, -1\/124, 2\/19?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.1 - 36?\nAnswer: -51.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y + 214. Let z be c(21). Solve 15*x = z*x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41014142230 + 0?\nAnswer: -41014142230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*l*m**2*o**2 + 12*l*m + 26*l*o**2 + 9*l - 2*m**3*o wrt m?\nAnswer: 110*l*m*o**2 + 12*l - 6*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 + 340*z**3 - 8976*z**2 + 70848*z - 62208 = 0. Calculate z.\nAnswer: 1, 12, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2538, 10968, 31190, 69108, 130626, 221648, 348078?\n\"Answer: 984*j**3 - 8*j**2 + 1566*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1001011110110100011100010110?\nAnswer: -1001011110110100011100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 7*b + 14. What is g(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381082 - 1421082 = 4*x. What is x rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -57. Suppose 0 = g*h + 2*t - 369, -5*h - 2*t + 205 = -410. Let j = h - 119. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129209168 take away 0.4?\nAnswer: -129209168.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 - 4 - (8 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -59*p**6\/30 + 3*p**3 - 22*p. Find the second derivative of d(i) wrt i.\nAnswer: -708*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255864632 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -423\/7. Which is the fourth biggest value? (a) 3 (b) p (c) -2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/60)\/(((-14)\/7)\/(-2)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11548 - -12203. Which is smaller: x or 657?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 403556?\nAnswer: 403556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/(-273)*(7 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5 + d**4\/4 - 6*d**3 - 19*d**2\/2 - 5*d - 3\/4 = 0.\nAnswer: -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 22*s**2 - 24*s + 12. Is 25 a factor of w(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282*l**3*p**2 - l*p**2 - 2*l*p + 195*p wrt l?\nAnswer: 1692*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277890?\nAnswer: 2, 3, 5, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:59 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4329 + 7665 = -6*f. Let g = f - -622. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/36 - (-2)\/9. Let i be (-1)\/(z + (-65)\/(-33)). Let w = i + -23. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/14 + (-200)\/80?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/6 and 91\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 + -4.46. What is the closest to -0.2 in 0.3, 2\/9, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -524, -2093, -4708, -8369, -13076?\n\"Answer: -523*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 153*z - 9. Let w(p) = 434*p - 27. Let k(h) = 17*i(h) - 6*w(h). Give k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {n: 2, y: 6, i: 10}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -47917.7233 times -1\nAnswer: 47917.7233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 11*v + 10. Let b be x(8). Let s = -11 - b. Solve 0 = -5*r + j - 15, 6 + 3 = -s*r + 2*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*m - 95 = 83*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -102 + 205 + 3*d - 104 - d. Let i = -757 + 761. What is h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {l: 9, e: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/45)\/((-33)\/9 + 3). Which is the second biggest value? (a) x (b) -0.1 (c) 976\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -9.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {m: 2, f: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556168414 to the nearest integer?\nAnswer: 23583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1.03, -0.01, -0.078?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.112 and -0.2063883?\nAnswer: 0.0231154896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*-4 + -1. Let s be k\/(-1) - (2 - (4 - -4)). Solve 3*m - 2 = -s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*2 + 9. Let k(r) = -r**3 + 10*r**2 - 7*r - 2. Let w = -1 + 9. Let y be k(w). What is the greatest common divisor of y and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 204\/7 (b) 1\/3 (c) -5 (d) 86 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(143)*6*-2)\/((-1*sqrt(110))\/sqrt(10)*6)*2.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 2 - 3 + 3 - 3*z - z + 2*z + (1 + 2 - 4)*(2*z + 0*z - 4*z) - 2*z + 3*z + 0*z in the form j*z + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 plus -507850629?\nAnswer: -507850613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(-4)\/48*-4. Suppose 6*s - l - 116 = s, -u*l - 74 = -3*s. What is the remainder when 45 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54144525 by -43.\nAnswer: 1259175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*r + 13. Solve r*t + 7 = -4*f, -4*t + 5*t = 3*f + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 - 123. Let m(o) = -92*o - 91. Is m(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 + 210.2. Which is the closest to 2? (a) 4\/3 (b) 2 (c) -1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*18\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {u: 11, r: 1, a: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 12880.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -15.9 (b) 0.2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4 + 3073232*d**3 - 15679691*d?\nAnswer: -24*d**2 + 18439392*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 963*u**5 - 17*u**4 - 4858830*u**2 wrt u.\nAnswer: 57780*u**2 - 408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2971, -3, 19, -1, 1, 5 in decreasing order.\nAnswer: 2971, 19, 5, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(15\/60)\/((-6)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111450450 divided by 4458018?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)*i**(-26)*i**(1\/10)*i*i*(i*i**(-7)\/i)\/i assuming i is positive.\nAnswer: i**(-479\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79.2 + -79. Which is the nearest to -0.2? (a) -1\/2 (b) -4\/7 (c) f (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 476 = 5*t, 244 = 4*t - 5*r - 141. Let d = 2 - t. Let j = d + 139. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-357)\/(-476)*100\/(-18)*(-24)\/(-110).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 27139*i**3 + 81416*i**3 - 27126*i**3 - 27142*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1347250, 1347435, 1347620, 1347805, 1347990?\n\"Answer: 185*r + 1347065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/120 - 13*c**5\/60 + 7*c**3\/6 + 13*c**2. Let w be q(13). Suppose 8*m = w*m + 27. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*r - 162*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 89 times 0.9\nAnswer: 80.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 3 + 3)*(-2 + 2 - 1 + (-492 - 1619 - 649)*(5 - 5 - 2)) to the form s*b + v and give s.\nAnswer: -11038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 435 = -4*x. Let i = x + -76. What are the prime factors of i?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474 (base 13) to base 9.\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 34*n = 25*n + 434 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbtbbbbthdxfbfb. What is prob of picking 1 b, 1 h, 1 x, and 1 f?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -7*p - 8. Let d be (p\/4)\/(-5 - -3). Suppose 2*w + 10 = 5*x + 41, -5*x = w + 7. Calculate the greatest common divisor of d and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -210.6658 from -4.\nAnswer: 206.6658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 2*b**2 + 6*b**2 - b**2. Let l(m) = -4*m**2. Determine l(k(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3522, 14, -3, 0, 4, 5 in increasing order.\nAnswer: -3522, -3, 0, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {k: 2, w: 4, i: 4}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -0.887309?\nAnswer: 14.112691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-3 - (1 - 0). Let b = -0.080013 - -0.080013. What is the closest to 1 in n, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.0815981ns to hours.\nAnswer: 0.00000000000113377725","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115217200*s**3 + 170658536*s.\nAnswer: 691303200*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14587736 to the nearest integer?\nAnswer: 3819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*(-1)\/(-140)*4\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000719268 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3))**19*(c**2)**38 assuming c is positive.\nAnswer: c**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 8.7. Put -1\/8, f, -9 in increasing order.\nAnswer: -9, -1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.99999944 + 5. Round j to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41493 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4563248364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4909 - 3994. Calculate the greatest common factor of f and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.672 * 17\nAnswer: 11.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k + 14. Let v be y(-4). Solve -2*i + 3*i = v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-5 + -1)\/192). What is the greatest common divisor of 1184 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148869.7696 - 149269.76959498. Let n = -400 - a. What is n rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 9:29 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7*j - 9. Let p be q(-8). Let m = p + 19. Let y(r) = -3*r + 11. Let v(o) = -o + 6. Let t(d) = -7*v(d) + 4*y(d). Calculate t(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - z - 1. Let c = 15 + -11. Suppose 3*n - 17 = -w, c*w - 33 = -n - 4*n. Suppose -n = -9*j + 4*j. Let b(t) = -t - 1. Determine j*q(g) - 2*b(g).\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -7*h**2\/2 - h - 92. What is f(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 4. Let f be y(4). Suppose 4*q - q - 96 = f. Suppose c - 35 = -r - 16, 0 = 3*c - 2*r - q. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 6*q + 9. Let j be -1 + 0 + 0 + 7. Determine f(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.368698179 to 4 dps.\nAnswer: -0.3687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 670 and 145330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(-5))\/(12\/10). Let g(l) = l**2 - 30*l - 99. Let j be g(33). Is q bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 2*q**2 - 21*q - 10. Let h be y(-6). Let z be (3328\/h)\/(-4) + (-12)\/(-42). What is the greatest common divisor of z and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 66. Suppose j*v - 4*c = v - 8, 0 = 4*v + 2*c - 32. Suppose 0 = -5*i + 5 + 25. Solve 2*k - i - v = 2*b, 2 = b + 2*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-20 + -8 - -21) + 15 - (1 - -47))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41096, 40879, 40662, 40445, 40228?\nAnswer: 40011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {y: 4, a: 10, g: 1, j: 2}?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**4 + 102*n**3 + 273?\nAnswer: 8*n**3 + 306*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13204 (base 5) to base 12\nAnswer: -73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 14. Let u be q(-17). Let o be (8\/(-16))\/(u\/(-24)). What is the third smallest value in -53, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 divided by -14?\nAnswer: -423\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 + 12 = 0. Sort k, 1, -2, 3 in decreasing order.\nAnswer: k, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 1\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*m)*(-3*m + 3*m - 2*m + (-4*m - 2*m + 4*m)*(-2 - 1 + 4)) + (3*m + 2*m - 4*m)*(-m + 4*m + 5*m) in the form h + k*m + g*m**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*n + g - 1, 1 = -g. Suppose -x - 4*x = 4*j + 45, 10 = -j - x. Put n, -4, j in decreasing order.\nAnswer: n, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 59 (c) 4\/7 (d) -3.34 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.643706 to 0 dps.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*u - 67*u + 208 = 45*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267 + 596. Suppose 3*b - 2*b = l. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121763959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 732 in -2\/5, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + a, -y - 3*a - 16 = 2*a. Suppose 5 = 3*x - y. Suppose -2*z + 14 = 2*c, 2*z + x*z - 4*c - 44 = 0. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1960*s + 5*g - 90 = -1965*s, -21*s - 4*g + 310 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46936 and -5.\nAnswer: -234680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 271409*i**2 + 24*i + 16. Let g be l(-8). Round g to the nearest 100000.\nAnswer: 17400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 - 472*j**2 + 60253*j - 2328774 = 0.\nAnswer: 89, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3902*i**2 + 4071 wrt i?\nAnswer: -7804*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, -44 in increasing order.\nAnswer: -44, -13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 + 6861.021?\nAnswer: 7152.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t = 5*b - 50*t - 7, 2*b = -5*t + 19. Solve 2*y = 2*u + 3*u - 28, -b*u + 12 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Let x be 5577\/(-22022) + -3*(-2)\/84. What is the nearest to 0.05 in x, n, 3, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 2, g: 2, c: 2, w: 1}. What is prob of sequence own?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(5*7\/42).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 258621 = -8*z - 18*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11580 divided by 4\nAnswer: -2895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10111010000 (base 2) to base 12\nAnswer: a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211112 - 1111111?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 1, t: 1, k: 2, u: 1, f: 2}. What is prob of picking 1 t and 2 f?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 3*w - 5. Let u be p(5). Let x be (-3)\/(u\/4)*-10. Suppose -13 - 23 = -9*z. Is z less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 4*n + 436 = 0, -594 = -4*m - n. Is (m + -1)*(-2)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 638.7 + -340. What is t rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y - 19. Let q be k(4). Suppose -25*i + q*i = 32. Which is the nearest to 0? (a) 3 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85\/2 - 41. Let j = -0.249113 + 0.049113. Let l = 26 - 26.3. Which is the closest to j? (a) x (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 114 + 137 + 9*v - 274. Let o be h(7). Calculate the greatest common divisor of o and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q + 117 + 858 = 0 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273 + 433. Let m = 163 - h. Which is the second biggest value? (a) m (b) -10 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-38) - -406165*3\/57 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -93, -5, -4.\nAnswer: -93, -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-385)*(-115)\/(-6) - (-3)\/(-7). Which is the fifth biggest value? (a) t (b) -2\/7 (c) 1 (d) -18.9 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(12 + 5 - 3)*(0*w + 0*w + w) as r*w + g and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3921, -7863, -11815, -15783, -19773?\n\"Answer: -l**3 + l**2 - 3938*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {w: 7, p: 4, x: 7}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -151695 <= -151695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.53901ng to kilograms.\nAnswer: 0.00000000004553901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 99714 = 99892 for o.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtjj when four letters picked without replacement from jvtjwvttvv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = z - 4*z + 13, 0 = -4*t - z + 8. Let p be 1\/t + (6 - 88007). What is p rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2) + -2) - (sqrt(200) + 0).\nAnswer: -9*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -55. Calculate the greatest common divisor of 63 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:06 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/(-333) + ((-1190)\/63 - -19). What is the nearest to w in 1, 0.3, -3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*4 - (3 - 1). Suppose -a*m = -4*m. Suppose m = 3*r - 52 + 16. Calculate the greatest common factor of 48 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*((-3)\/(-2))\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 323387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.065 - -1.065. Which is the second biggest value? (a) 2\/5 (b) -3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -277*z - 3879. Let q be p(-14). Let r(y) = 2 - 2 - 2*y. Give r(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198 - -1780\/9. Let h = 0.30157 - 0.31157. Which is the smallest value? (a) h (b) 2 (c) f (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -10*c**3\/3 + 53*c - 1. Let y(i) be the second derivative of i**3\/2 + i. Determine m(y(x)).\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + ((-23)\/6 - -3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - j = 4*j + 168, 4*j = 0. Let t = 63 - i. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 26*o**3 + 12*o**2 - 5*o + 11. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 4:38 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 + s**2 - 18*s**2.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4595 divided by 16542?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1546 divide 489031486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(2*n - 3*n + 3*n)*(2 - 6 - 1).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 3. Let l be n(0). Let y be 1\/3 + (-2)\/6. Let b = -412 + 416. Sort y, b, l in descending order.\nAnswer: b, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**5\/20 + n**4\/24 - 2*n**3 + 30. Let h(s) be the third derivative of f(s). Let v(j) = 2*j. Give v(h(y)).\nAnswer: -12*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 31*x - 186. Calculate h(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41569053 by 13856351.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.89 - 0.6. Let w = -0.11 - j. Sort -4, w, 3\/7.\nAnswer: -4, w, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11472*x**2 + 68846*x + 84 = 0. Calculate x.\nAnswer: -6, -7\/5736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15518\/33 - 5180\/11. Put -2\/5, 0.2, 12, q in increasing order.\nAnswer: q, -2\/5, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 15, 0 = k - 2*n + 3*n - 7. What is the nearest to 2 in 0.5, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -30 (b) 1\/6 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(15\/52)*(-1641)\/(-2188)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74, 145, 216, 287?\n\"Answer: 71*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -6188 in increasing order.\nAnswer: -6188, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, y: 5, p: 3}. What is prob of sequence yb?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 22993 = -p, s + 91972 = 4*p + 2*s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2728737 > -2728736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.198 times -1358085?\nAnswer: 268900.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -483312+7\nAnswer: -483305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 1744 = 3*j + 4*y, -2*y = -4*j + 2330. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**3 + 3*f**2\/2 + 3*f - 896. Let k(i) = 6*i**2 + 7*i + 7. Let u = -1 - 6. What is u*d(n) + 3*k(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1336 divided by -5.\nAnswer: -1336\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2287985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-8) + 0 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggggzgnhnzngnnng. Give prob of sequence zn.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7692 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31464330 is divided by 745.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 1, e: 2}. What is prob of sequence hhee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x - 2 + 8*x - 5*x to the form o + w*x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxgxxxxgxgxxx. What is prob of picking 3 x?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 859*a + 583*a - 455*a + 307 wrt a.\nAnswer: 987","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3522105 (base 6) to base 13.\nAnswer: -64a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + n - n + (4*n**4 - 19*n**4 - 31*n**4)*((3 - 6 + 5)*(1 + 3 - 2) + 0 + 2 + 0) + n**4 + 4*n**4 + 2*n**4.\nAnswer: -268*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 7 + 5, 4*f - 2*i = -4. Let k(v) = 8 - 14*v**2 - 4 - 2 - 6. Let c(h) = -13*h**2 - 5. Let x(r) = f*c(r) + 2*k(r). Differentiate x(w) wrt w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 35\/10)*(-24)\/9. Solve -s*i = -16*i + 24 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2275, -2, -1878?\nAnswer: 2275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -703*b**2. Let c(u) be the third derivative of -u**4\/3 - 13*u**2 + 2*u + 37. Give c(i(k)).\nAnswer: 5624*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2778 - -9413. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/78 and 43\/6654.\nAnswer: 86502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let b be w(1). Suppose -b*j + j + 113 = 5*o, -j + 129 = o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438\/(-1898)*8320\/180.\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*t + 2*t + 20, 4*y - t = -10. Let o(z) = 2*z**3 + 4*z**2 + 3*z - 2. Let i be o(y). Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - (-3 - 5 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0065 + -1232623.22.\nAnswer: -1232623.2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Let h(a) = -58*a**2. What is n(h(j))?\nAnswer: -3364*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - 2*y - 20 = 0, -z + 32 = 4*y. Calculate the remainder when 95 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 491275 and 58176100.\nAnswer: 11425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1826452.4942 - -1274783.49411. Let i = -551649 - r. Let q = i + -20. What is q rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213*-2211.\nAnswer: 470943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000053856 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 751951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89 - -221) + -92 + -92.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1325 - -3976\/3. Let q(a) be the first derivative of 0*a**2 - 3 + c*a**3 + 0*a. Let h(x) = 13*x**2. Determine h(q(y)).\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7289 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1656000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 79 = -181. Suppose -720*h - 48*h**3 - 87*h**2 - 3*h**4 - 32*h**3 - 334*h**2 - h**4 - 324 - i*h**2 = 0. What is h?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -161, -155, -147, -137, -125, -111, -95?\n\"Answer: a**2 + 3*a - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/30 + 4*v**2. Let n(t) be the first derivative of t**2 + 2. What is b(n(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1228512, 2457032, 3685554, 4914078, 6142604?\n\"Answer: t**2 + 1228517*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 34. Suppose 4*j - 2*c = b*c + 20, 0 = -j + 5*c + 9. Solve 4 = -4*d + 2*l, 0*d = -4*d - 2*l + j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -16*h**2 + 2*h + 7. Let p(n) = 2*n. Give p(m(q)).\nAnswer: -32*q**2 + 4*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*f + 5 = -4*y, -5*f - 5 = 0. Let k be (-2)\/3*3\/(-4). What is the second biggest value in k, -2\/13, y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 1.1. Let y be 1*4\/6 - 0. Let r = -61 + 243\/4. Which is the nearest to -1? (a) p (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -1. Let s = -0.09 - g. Let v = s - 1.91. What is v rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -13 + (-4 - -4) + 2 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 18 = 38. Suppose -b*x + 2*x + 1642 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 6. Let c be w(-7). Let z be ((-56)\/6)\/(c\/3). Let q = -18 - z. Calculate the greatest common factor of 20 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**10*i**(3\/2)\/i)\/(i**(-1)*i)**(-36))**(2\/75) assuming i is positive.\nAnswer: i**(7\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 322)*(12\/150)\/((-539)\/(-385)).\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 3, v: 10, i: 2}. Give prob of picking 2 q and 2 i.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1 in descending order.\nAnswer: 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 13. Suppose i + 3*v = -5 - 7, 0 = -4*i + n*v - 6. Is i greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 9*o**2 - 77.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 8. Let k be g(-7). Suppose 4*n = -5*p + 25, 0*n - n + 4 = -p. Suppose 5*u + 6 = n*t + k, t - 5 = -u. Solve 0 = t*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:29 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let x be (-1 - (0 + -2)) + 0. Suppose 0 = -2*o + y*l + x + 9, -5*o = -l - 25. Solve o*a + 24 = -1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 4. Let x(v) = -21*v - 24*v - a*v + 15*v. Let o(t) = -t. Calculate o(x(b)).\nAnswer: 50*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qppm when four letters picked without replacement from {z: 2, p: 3, b: 1, m: 1, q: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7275*a - 31. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.6, -0.1, 2\/3, -3\/4, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5797810 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 3*p + 5 - 2*p + p. Let w be 14 + -7 + (-4)\/2. Determine u(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*1\/7)\/((-1)\/35*-10)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 45 = 4*m - 4*s, -2*m + s - 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 l when four letters picked without replacement from lylyllllylyyl.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23346283?\nAnswer: 127, 183829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o + 20 = 0. Suppose -2*w + 6 = 0, -l - 5*w = 4*l. Let i = o + l. Which is the closest to 1? (a) -5 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4264 - -4269. What is the nearest to -1 in -22, 31, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -10. Let u(k) = -k**2 - 38*k + 481. Let w be u(10). What is the third smallest value in 12, w, a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/83 - -145\/581. Let z(v) = -7*v - 28. Let t(w) = 3*w + 14. Let i(f) = 5*t(f) + 2*z(f). Let g be i(-16). What is the third biggest value in u, g, 4\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*p - p + 5*r, 3*r - 13 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (285\/171)\/(4\/12). Solve 4*g - 5 = -5*k, -34*k + 40 = -31*k - h*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -20*y**3 - 2*y**2 - 3*y - 9. Calculate i(-2).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*5)\/(237230\/10167)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-90))\/(12\/15).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = 21. Let b = 41 + h. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 427, 642, 857, 1072, 1287?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13196.58 minus -9?\nAnswer: -13187.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:50 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seeyemrsmrmskekerrmm. What is prob of picking 2 r, 1 s, and 1 m?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -257, -439, -711, -1049, -1429, -1827, -2219?\n\"Answer: 4*o**3 - 69*o**2 - 3*o - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**2\/7 - 57634*v + 242061\/7 = 0.\nAnswer: 3\/5, 80687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -654265\/28 - -23364. Calculate the common denominator of n and -73\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54.072 + -45.79. Let k = o - 0.082. What is k rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/5 + 4*l**4 - 36*l**3\/5 - 16*l**2 + 38*l\/5 + 12 = 0.\nAnswer: -1, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:31 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -25, -59, -107, -169, -245, -335?\n\"Answer: -7*b**2 + b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184\/3 + 62. Let d = -0.03 - -0.11. Let x = -4.08 + d. What is the nearest to g in -3, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 11517369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 11\/3 (c) -9\/4 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 17 + 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 + 268. Solve 8*b + s = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + -2*sqrt(567))**2.\nAnswer: -324*sqrt(7) + 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0 - 16. Factor 0*m**5 + 0*m**5 - 4*m**2 - 12*m**3 - 2*m**5 + 8*m + 6*m**5 + n*m**4.\nAnswer: 4*m*(m - 1)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 3\/2*k**2 + 0*k**3 + 1\/6*k**4 + 3*k - 1. Let v(z) be the first derivative of h(z). Differentiate v(g) with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnk when three letters picked without replacement from {v: 3, n: 3, x: 5, k: 1}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 3*l)*(-2 - 3 + 3)*(11 - 14 - 6).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**2\/3 + 13474904*r\/3.\nAnswer: -2*r*(5*r - 6737452)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -669, 0.5, 0, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -15. Suppose -k*l = -39 - 76. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**2 + 8*b**2 + 14*b**2 - 23*b**6 wrt b?\nAnswer: -2760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1075765*w**2 + 1038632.\nAnswer: -2151530*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.297419 to four decimal places.\nAnswer: 0.2974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 less than -29730467885?\nAnswer: -29730467833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 182 = p + 8*v, 7 + 68 + 21 = -3*v - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56947518 divided by 17.\nAnswer: 3349854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 245838, 491674, 737506, 983334?\n\"Answer: -2*y**2 + 245842*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2955 by -197.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a factor of 2065530660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 231 = 5*t + 65, -3*l = 4*t - 131. Let s = -29 + t. Suppose -4*y - f + 1180 = 0, -2*y + 4*f - 1180 = -s*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 6 = -2*j, -s = 43*j - 46*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**(1\/9)*s)\/s*s**(-17))**(-1\/2))**(-20) assuming s is positive.\nAnswer: s**(-1360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 373*i - 19831. Determine h(47).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19316 or -19314?\nAnswer: -19314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1869 and 17163027.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-49))\/((-6)\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {i: 3, b: 6, r: 1, d: 1, z: 1, x: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q + 1. Let p(x) = 7 + 4*x - 2 - 4 + 0*x. What is 2*f(n) - 5*p(n)?\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 956 and 180596.\nAnswer: 43162444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1914*i + 2229 - 2229 to j + f*i and give f.\nAnswer: -1914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 divided by 170?\nAnswer: 1321\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*r + 5698, 12*r - 10*r - 12 = 0. Calculate the highest common factor of h and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**6\/6 + 7*q**5\/10 + 7*q**4\/12 - q**3\/3 + 4*q + 22. Factor n(x).\nAnswer: x*(x + 1)*(x + 2)*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n - 310. Let f be b(26). Let h(a) be the second derivative of 0 + 1\/30*a**4 + 12*a + 0*a**3 - 1\/150*a**6 + 0*a**5 - 1\/10*a**f. Factor h(s).\nAnswer: -(s - 1)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3088.365 centuries in years?\nAnswer: 308836.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348268 and 664?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5545039 divided by -6.\nAnswer: 5545039\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*k + 16, 0 = -4*q - 19*k + 24*k + 139. Which is smaller: q or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + -1731\/13. What is the nearest to 1\/3 in -0.02, b, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.797 to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14279, 28492, 42705?\nAnswer: 56918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b + 12*b**3 + 11*b)*(-25 - 6*b + 25)*(-15*b - 308 + 308).\nAnswer: 1080*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 525560269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 13. Let t be i(8). Solve -n = 2*v + 7, 4*v + 6*n + t = n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 46243620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*c = -102 + 101, -5*c - 5 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62521 and 15175.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 25 = -5*u, 4*p - 90179 = -3*u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 10*z + 6. Let u be k(10). What is the highest common factor of 42 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2912, 5823, 8734, 11645, 14556?\nAnswer: 17467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**3 + 3*v**2 - v + 1. Calculate k(-2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -340 + 479. What are the prime factors of f?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 + 843. Let l = k + -1139.9999337. Round l to 6 decimal places.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040082 to the power of 1\/2, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, k: 5, q: 1, u: 1, o: 1}. Give prob of sequence mu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(40) + (2*sqrt(120) - sqrt(120))\/sqrt(3))\/(sqrt(10)\/sqrt(18)) - ((-2 + (sqrt(512) - (sqrt(512) + 0)) - sqrt(512) - sqrt(512)) + 3))**2*-3.\nAnswer: -11619 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007133 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = -20. Let n be ((-4)\/(-6))\/((-18)\/(-243)). Is a smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 57.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -50. Suppose 2*a + 111 = -5*j + 221, 2*j - 4*a + 4 = 0. What is the greatest common divisor of j and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 4)*(4 - 6 + 3)*(-2*g**2 + 1 + 335*g - 9 - 322*g) to the form z*g**2 + n*g + u and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*v**2 - 3*v**2 - 9.\nAnswer: v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 + 3*k - 4. Let h be b(7). Let z = h - 22. Suppose 0 = 4*d - 0 - z. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 5*m**2 + 8*m - 5. Suppose 3*c + 3 = 0, -10 = -2*g + c + 7. Suppose 3*t = -0*t + 12. Suppose 2*q = t + g. Give k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 3*k**2 - 3*k**2 - 2*k**2 + 3*k**2 + k**2 + (2*k**2 + 0*k**2 + 0*k**2)*(4 + 2 - 4) + (0 + 2 - 3)*(k**2 - 2*k**2 - 2*k**2).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70720 and 1972?\nAnswer: 2050880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4524 = 1300*g - 495*g - 631*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 21*x - 2. Give m(-27).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let u(d) = -d**2 + 2*d - 1. What is u(a) - w(a)?\nAnswer: -a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 41. Let v be u(0). Let m = -36 + v. Suppose m*c = -0*c + 700. What is the greatest common factor of 56 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5652326?\nAnswer: 2, 1297, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:21 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1802 + 0.1102. Which is the closest to -1? (a) 3\/2 (b) 0.5 (c) 3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-156))\/(((-14)\/21)\/((-1212)\/(-5706))) and 51\/10.\nAnswer: 41210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.2 (c) -68 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 + -0.21. Let u = 0.68 + r. What is the nearest to -0.1 in u, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 - 80*x - 3885 = 0.\nAnswer: -21, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-9)*(-6)\/7 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -53. Find the third derivative of 9*w**2 + 6*w**4 + z*w - 44*w**4 - 7*w wrt w.\nAnswer: -912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/211 + -221\/1055. What is the second biggest value in d, -5, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7 - 14 + 38 - 10 + 26*m**2 - 5*m**2. Let n(d) = d. Give n(s(o)).\nAnswer: 21*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -9*y**2 - 151*y - 30. Is o(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*t + 2*t, -2*t = 2*b - 20. Let s(z) = 10 - z**2 - 3 - 2*z - 3*z + 0*z**2. What is the remainder when b is divided by s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82607.17l?\nAnswer: 82607170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**36\/(c*c**(-7))**(-9\/4))**(-1\/19) assuming c is positive.\nAnswer: c**(-117\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3634, 3763, 3894, 4027, 4162, 4299, 4438?\nAnswer: 4579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124932280 and 6814488?\nAnswer: 374796840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003576997 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-237 - 111 + 116 - 395)*(4 - 1 + 0)*(-1 + h + 1).\nAnswer: -1881*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 319682 divided by 2?\nAnswer: 159841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 - 142 - 371*q**2 + 374*q**2 + 263 in the form w*q + o*q**2 + a and give a.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = -3. Let a = c + 20. What is the units digit of 32\/a - 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + 83 + 2 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - ((13 - 26) + -28) - 28.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -947*z = -943*z. Suppose 0 = -z*y - 3*y + q + 4486, 2968 = 2*y + 5*q. List the prime factors of y.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)*232\/(-16). Suppose -s + o = 1. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -16.1. Let s = r - -1.4. Let w = -25\/222 + -2\/37. Sort s, w, 2.\nAnswer: w, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - -2473?\nAnswer: 2514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171015186?\nAnswer: 2, 3, 28502531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311634, 623434, 935234?\nAnswer: 1247034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251463?\nAnswer: 3, 109, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-90))\/((12\/6)\/128). Which is greater: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 - 2*v**2 + 2*v**2)*(-2*v - 2*v + 5*v) - 7*v + 2*v + 6*v - 5*v**3 in the form b + k*v**2 + m*v + u*v**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39454 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 488816407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 1366840*y - 2733700.\nAnswer: 5*(y - 273370)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/288)\/((-3)\/(27\/2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10856.5 rounded to the nearest 100?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25418899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3 = -123. Suppose -2*k = -8, -5*b = 5*k - k + s. Let h = 12 + b. Solve -3*i + h = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 33 - 119*p - 17)*(-2 - 3*p + 2).\nAnswer: 357*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 23. Let f be u(-18). Suppose -2*p + f = 23. What is the tens digit of (-16180)\/(-90) - (-2 - 16\/p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 69a5?\nAnswer: 69aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = -4*x. Let w be ((-2)\/(-6))\/(1\/x). What is the nearest to 2\/17 in -2\/3, -3\/5, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 26.\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25572041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**3\/6 - v**2 - 3*v. Suppose -y = -5*z - 29, -z + 3*y = 4*z + 37. What is x(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 2:59 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092702 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.6593 to one dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/2 + 15*r**2 + 25*r. Let i be w(-10). Solve i = -4*u - 12, 5*u + 15 = 4*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/5)*j)\/j)**(-9)\/(j**(-2\/33)\/j**35) assuming j is positive.\nAnswer: j**(4597\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000080096834 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-16)))\/w*w**(1\/6)\/w)\/(w**6\/w*w)**(-7\/2) assuming w is positive.\nAnswer: w**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.352 (b) -0.09 (c) 1 (d) -4 (e) -3\/5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0297453mg in micrograms?\nAnswer: 29.7453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 23 + 98 = 4*y, -y + 548 = 5*n. What is the common denominator of -1\/4 and -2 - (n\/(-30) - (1 - 2))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*b - 5, b + 7 = 5*l + 2*b. Suppose -l*n + 4*g + g = -278, -4*n + 584 = -3*g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11216*f + 510*f + 2225*f)*(-2*f - 3*f + 6*f).\nAnswer: 13951*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303205 and 2345.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 19284 divided by 106\nAnswer: 9642\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 10*z = -9*z - 56. Solve 7*y - 10*y = -2*s + z, -4*y = -s + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 40. Let u be (-21)\/66 - h\/(-2). Put 1, u, -5 in decreasing order.\nAnswer: 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -79. Suppose 4*k = 63 + 21. Calculate the remainder when f is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -84*m - 8298. Determine z(-100).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2.3.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -0.47?\nAnswer: -0.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11418, -4787, 13218, 48285, 106102?\nAnswer: 192357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5649 is divided by 292?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -2, -0.03, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 2 + x**2 - 5 + 2. Let h be g(4). Suppose -2*o = -5*p + 101404890 - 24404886, -4*o + 46199992 = h*p. Round p to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 73. Let n be 490\/1001 + 4\/k. Determine y so that 2\/13*y**3 + 2\/13*y**2 - n*y + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9722.267 tonnes to grams.\nAnswer: 9722267000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(108) + -2 - 5*(sqrt(108) + 2 - sqrt(108)))**2 - ((1*(sqrt(108) - (-1 + sqrt(108))))**2 - ((sqrt(108) + -3)*1)**2).\nAnswer: -468*sqrt(3) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x - 12 = 0. Let y(t) = -12*t**3 - 182*t**2 - 30*t + 12. Let p be y(-15). Solve -4*c - x = -p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 - -168. What is the nearest to 0 in v, 0.1, 6, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**5\/20 - 7*u**4\/6 - 11*u**3\/6 + 6*u**2 + 12*u. Let n be x(-13). Is (-8124)\/(-84) + (-4)\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 39.16. Let j = q + 0.06. Let g = 1 + j. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnhi when four letters picked without replacement from nhhiihhlhkhhkiihhi.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 c be 1 - 344\/353 - 0. Let s = c + 29173\/4942. Let l = -4425\/632 + 10\/79. What is the common denominator of l and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*i**3 + 12*i**3 + 44*i**3 - 50*i**3 + 12*i**3.\nAnswer: 87*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 94 = -2*p + 7*p, -5*p + 4*d - 108 = 0. Suppose r = -1 - 11. Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (197*i - 5*i**2 + 193*i - 433*i)*(10 - 27 - 7 - 19) in the form f + p*i**2 + d*i and give p.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-28)\/(-7) - -1*50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 13*j - 4*t - 18, 0 = j + 4*t + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -483 - -482. Let h(i) = -14*i**3 + i**2 - 1. Give h(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -347 - -347.278. Let k = q + -0.28331. What is k rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -37*q - 744, -2*t = 2*q - 11*q + 6*q - 68 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 284 = -18*m. What is the remainder when m is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, 6, 2, 4, -3 in increasing order.\nAnswer: -3, 2, 3, 4, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27859717 minus 75.459?\nAnswer: -27859792.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 250.9 (b) 6436 (c) -1\/4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1463893976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 473688.2ug?\nAnswer: 0.0000004736882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 26. Let y(b) = 19*b - i*b**2 - 7 - 14*b + 7*b - b**3. Is y(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 107.4. Let n = -15.3 + 15.5. Which is the closest to 1? (a) n (b) y (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y - 2 = 0. Let k = 0.06 - -0.24. Let v = 0.21 - 0.71. Sort k, y, v, -2 in decreasing order.\nAnswer: k, v, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 3 - 3 + (8*s - 17*s + 19*s)*(s - 1 + 1).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 less than -124050128?\nAnswer: -124050343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 30 = 4*q. Let v be 1\/3 - (-76)\/q. Let m = v - 4. Solve 3*j - 5*x - m = -j, 0 = 4*j - 3*x + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - l - 1. Let t(h) be the third derivative of -h**6\/120 + 3*h**5\/20 - 3*h**4\/8 + 3*h**3 - 70*h**2. Let z(f) = 3*b(f) + t(f). What is z(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504\/280 - 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 8. Let j be w(20). Let a = j - 11. Suppose -5*g = 3*m - a, g = 5*m - 61 - 2. Calculate the remainder when 30 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 5*i - 95, -w + 5*i = 53000 - 53001 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/165 + 344\/1155. Let w be (3\/(-4))\/(5\/4). Which is the closest to 1? (a) 1\/4 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3 - 5. Suppose 2*p + 3*p - 14 = t*u, 0 = -5*u + 5*p - 5. Let h be (112\/1)\/(u\/7500). Round h to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + a. Let o(m) = 2*m**2 - m - 1. Let t(y) = -c(y) + o(y). Let w(l) = 5*l**2 - 5*l - 3. Let q(r) = -7*t(r) + 4*w(r). Calculate q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.26491nm in millimeters?\nAnswer: 0.00003226491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2734*i - 32906. What is s(-12)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u\/u**(4\/7))**(5\/7))**(-43))**(-1\/14))**(19\/2) assuming u is positive.\nAnswer: u**(69445\/1372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**3 - 16*j**2 + 38*j - 3. Let r(q) = 3*q**3 - 9*q**2 + 19*q - 1. Let y(s) = 4*c(s) - 7*r(s). Let m be y(-5). Solve m = -8*k + 9*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/4 + 291*z**2\/4 - 2112*z + 19239 = 0. Calculate z.\nAnswer: 22, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - 4\/128*8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u + 70. Is 12 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -46, -69, -94, -121, -150, -181?\n\"Answer: -i**2 - 18*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(190)*3 + sqrt(190))*5)\/(sqrt(360)\/sqrt(4) - -1*sqrt(250)).\nAnswer: -15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -61, -110, -179, -274, -401, -566?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10745384731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 4*n**2 - 3*n - 6. Let g be h(-4). Suppose -g*k - 70 = 32. Suppose -34 = -4*z - 106. Is k greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.77121 kilometers?\nAnswer: 771.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4*t - 4*t + 14*t - 1 to the form z + i*t and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331021342 + -133?\nAnswer: 331021204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 6*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 41709224.4.\nAnswer: 41709195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (10 - (-1 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 91677536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1041, -2176, -3285, -4356, -5377, -6336, -7221?\n\"Answer: 2*l**3 + l**2 - 1152*l + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 2*s**2 - 5 - 32*s**4 + 34*s**4 + 6*s + s**3 in the form w*s**4 + z*s**3 + x + m*s**2 + q*s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28998 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + 10 - (7 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 12*n + 31. Give s(13).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3996549 + -69?\nAnswer: 39964a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.015 in 0.1, 1\/14, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13334162 + -13?\nAnswer: 13334146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14323?\nAnswer: 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 194916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2\/19017, -0.1, -3, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 13644?\nAnswer: 54576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/60 - t**4\/2 - 35*t**2. Let n be w(-12). What is the hundreds digit of 24444\/180 - (2 + n)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 16 - 52*k + 13.\nAnswer: -52*k - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 4*z**2 + 2*z**2)*(-3*z**2 + 3*z - 3*z).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 3. Let n = a - -13. Let z = -7 + n. What is the third biggest value in z, -2\/7, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16362 and 4141?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -320\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5701609 is divided by 570159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -284 - -571. Let h = -2337\/8 + o. Calculate the common denominator of (144\/(-8))\/(32\/(-9)) and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 0*i + 4*i + (-18 + 24 + 13)*(6 - 1 - 3)*(4 - 5 - 7 + (3 + 2 - 3)*(-3 + 5 - 1))*(-6*i - i + 6*i).\nAnswer: 227*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-135)\/25 + 3 - 2\/(-5). Let d be 6\/(-4)*(-2 - (-24)\/m). Suppose 4*z = -2*u + 6, -z - 3*z + d = 5*u. Let o(b) = 5*b**2 - 2*b - 1. Determine o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1675)\/(-280) - 6)\/((-12)\/434) and 4\/45.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.981 - 36.061. Put -1, 1\/27, k, 0.2, -4 in decreasing order.\nAnswer: 0.2, 1\/27, k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3050 divided by -305\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14825577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*d - 24, -12 = -3*n - 3*d - 0*d. Let j = -7 + n. Suppose j*u - 174 = -u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 27. Let w = 41782380.999999 + -41782403. Let i = w + m. What is i rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 + 71. Let w(r) = -r**3 - 4*r**2 + 10*r + 12. Let g be w(-6). What is the greatest common factor of g and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -4 - 1*(-6 - -14). Suppose -f = -3 - 1. Let y(g) = 14*g**3 - 5*g**3 + 4 - f + 5*g. Let t(w) = -4*w**3 - 2*w. Determine q*t(l) - 2*y(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 6*t + 4*t)*(-3*t**2 - 2*t**2 + 6*t**2)*(312*t - 6*t + 34*t).\nAnswer: -340*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130)*-2*2 - sqrt(130)) - -6*sqrt(130)*-1)\/((-6*sqrt(80)*1 + sqrt(80))\/(2*sqrt(72))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -17*c**3 - c - 1. Let o be l(-1). Suppose 7*d + o - 31 = 0. Solve 26 = -5*w - 4*a, d*a + 20 = -2*w - 2*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(1\/14)*g)\/g)\/g**(-1))**(-20)\/(((g*g**(1\/2))\/(g*g\/(((g\/g**(-3\/4))\/g)\/g)))\/(g**(-2\/7))**(-37\/2)) assuming g is positive.\nAnswer: g**(-1471\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.46809 and -0.2281?\nAnswer: 0.23999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11*r = 889. Let f = r + -50. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -4 + -7 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*f - 30. Let s = -1 + f. Let j(q) = q**2 + 5*q - 10. Let r be j(-7). Solve -s*m = 12 - r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019007 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -237\/238 - -29\/34. What is the smallest value in -4\/7, y, 0, 1, 2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**3*s**2 - 4*l**3 + l**2 - 64*s**2 - 9 wrt l?\nAnswer: -6*l**2*s**2 - 12*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0479 + 0.3479. What is the third smallest value in 21, q, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -309 - -415. Suppose -u = 2*q - q. Which is smaller: -104 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 4*r + 2815. Let a = r - 263. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.50803ug in tonnes?\nAnswer: 0.00000000008050803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/(12\/(-18)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/3 + 442*i**2\/3 + 1312*i\/3 + 872\/3 = 0.\nAnswer: -218, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/15, -2, -2\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 3*b + 2. Let c be m(3). Suppose 4*u + 5*t - 78 = -0*u, -3*u + c*t = -47. What is the remainder when 48 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 95*y**3 - 35*y + 35. Let h(c) be the second derivative of 2*c**5\/5 - c**3\/2 + 3*c**2\/2 - 69*c. What is 3*g(r) - 35*h(r)?\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*b**2 + 186 + 2*b**2 + 193 - 376.\nAnswer: -110*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8298834259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 - 5*j + 5*j)*(-4*j**2 + 2*j**2 + j**2 + (3*j + 2*j - 3*j)*(-4*j - j + 2*j)) as x + d*j**2 + q*j + m*j**4 + p*j**3 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -410*z**3 - z**2 + 2*z + 2. Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - u + 2. Let b be y(-3). Let v be (24\/12)\/(2\/b). Calculate the common denominator of -11\/8 and (760\/(-32))\/((-22)\/v).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2851030 and 25305.\nAnswer: 8553090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-22 - (27 - (9 - 26))).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 166 = -164, 2*w = -s - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -63*l**2 - 14735*l + 1500. Give g(-234).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/((p**(-1\/9)\/p)\/p))\/p)*p*p**21*p*p**(-32)*p**(7\/4)*p assuming p is positive.\nAnswer: p**(-265\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from {a: 12, k: 1, e: 5}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 50*r**2 - 46*r - 12. What is m(24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11882485 to the power of 1\/2, to the nearest integer?\nAnswer: 3447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143 take away 219?\nAnswer: -218.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -4 + 2)*(1 - -16). Let x = s + -99. Is (7\/(7\/x))\/((-6)\/8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102980 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**7\/2520 - a**6\/1080 + 2*a**3\/3 + a. Let k(i) be the second derivative of y(i). Solve k(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbl when three letters picked without replacement from lllllmblmvmlm.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/13*v - 2\/13*v**2 + 8\/13.\nAnswer: -2*(v - 1)*(v + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*c - 11 = 0, 3*c - 32 = -3*h - 17. Let t(x) = 14*x**3. Let f(b) = 15*b**3. Calculate h*f(w) - 2*t(w).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 147?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 320. Suppose 468*u = 469*u - m. What are the prime factors of u?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13341352 (base 7) to base 14\nAnswer: 242b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 1. Let k(d) = 139*d**2 + 2. What is k(m) + 2*p(m)?\nAnswer: 143*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(27\/90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.33656 to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5180 + -18486?\nAnswer: -13306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let u = -3.18 - -5.18. What is the closest to -2\/7 in 1, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228.94419 - 0.21419. Let q = -233 + h. Let m = q - -0.47. Round m to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3 - 5) - (-3 - (2 + 0)) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**8\/6720 + a**5\/40 + a**4\/12 + 3*a**2. Let j(h) be the second derivative of f(h). Calculate j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -0.577 (c) -561 (d) -201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1773 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 1, u: 2, m: 3, v: 6, g: 4}. Give prob of picking 1 m and 1 u.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 6 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 29 + -23 - 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 4 - 4 + (-14 - 5 - 7)*(1 - 4 + 1)*(19*g + 33*g + 61*g - 16*g).\nAnswer: 5045*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4 - (-369)\/93). Let j = 36 - v. What are the prime factors of (3 - j - 0 - -1)*-131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -28. Let o = z - 16. Suppose -5*d + q = 5*q - 176, 33 = d + 3*q. What is the greatest common divisor of d and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7 - -2) + -7 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785.39387 rounded to 1 dp?\nAnswer: 1785.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 13*c = 14. Suppose 0 = -c*j + j - 0*j. Solve 0 = -j*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 9*r**2 - 2*r - 15. Let l be d(-5). What is the remainder when 11 is divided by 7*-3*10\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-343)\/9604)\/((-2)\/4)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/s*s**2)**(2\/55)*(s\/(s\/(s\/(s*s*s\/(s*s**(-1)))))*s)\/(s*s\/s**(-1\/3))*(s**(2\/5)*s)**(-1\/6) assuming s is positive.\nAnswer: s**(-1141\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfwwfffwffffwfffff. Give prob of picking 2 f.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23904341621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + (26 - 1) - 6) + (-1 - -13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 25*o**2 + 11*o - 4. Let m be y(-12). Find the second derivative of -8*s + 43*s - m*s - 31*s**4 wrt s.\nAnswer: -372*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-8)\/(-84) + 2 + 0.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.922623 to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {m: 2, c: 2, f: 4, k: 1, z: 1, e: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 7*u**2 + u - 1. Let n be c(7). Let s(w) = -2*w + 2 + 6*w + 0. Let p be s(n). Calculate the greatest common divisor of p and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (7 - (1 + (10 - 1)))) + 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*y + 12277, 9815 = -0*p + 4*p - 5*y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.869 + -0.131. Sort -6\/23, m, 6 in increasing order.\nAnswer: m, -6\/23, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (259\/5 + -1)*95\/38 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + 4*i)*(16 + i - 16) + (-1 + 0 + 4)*(i**2 + 3*i**2 + 0*i**2).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14334 - -62.96066. Let z = -0.004 + j. What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-230)\/55 + 4. What is the second smallest value in -3, 7\/6, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 356, -3, -4 in decreasing order.\nAnswer: 356, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**3 - 4*i**2 + 4*i**2 + 21*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 702*u**2 - 24157*u + 9822. Calculate g(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r + 4 = 84 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*g**3*s**3 - 4262*g**3 + 2*g**2*s + 2*g - 8*s**4 - 9 wrt s.\nAnswer: -228*g**3*s - 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -1 - 5\/(5\/(-2)). Let y(s) = -s**3 + 5*s**2 + 4*s + 19. Give y(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 7*x - 71)*(-23*x + 19 + 24*x + 20*x) in the form o*x + s*x**2 + c and give o.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(-39 - 4805\/(-124)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prpp when four letters picked without replacement from ephrpprrrrrprrrrp.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129725*i*o**2 - 51*i*o - 61*i wrt o.\nAnswer: -259450*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/(-16) - 12\/32. Suppose 0 = 4*t - q + 2. Which is greater: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 + 3 = -4*z, 4*o = 8. Suppose -j + 59 = 2*n, -2*n + 18 = -j - 51. Suppose z = n*a - 35*a. Solve a = -i + 3*r - 14, 2*i = i - 5*r + 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -389663 take away 10664?\nAnswer: -400327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -165.9 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24107401651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e96ae3 - -29?\nAnswer: -1e96ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11 - 5 - 1)*(-w + 4*w - 2*w) + 2*w + w - 4*w)*(1 - 4 + 1 + 7*w**2).\nAnswer: -126*w**3 + 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z. Let d be (-24)\/(-3) + 4\/4. Let i(g) = g - 6. Let v be i(d). Let k(t) = -v*t**2 + 4*t**2 - 4*t**2 + 5*t**2. What is y(k(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.62 + 0.02. Let u = p - -0.8. Let m be 1 + (-2 + 2 - 2). What is the closest to m in 0.3, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.01 (b) 12 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157679762 by -6.\nAnswer: 78839881\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123.1 - 135. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.4586 + -0.4586. What is the nearest to -2\/329 in a, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -208, -2, -145, -44 in decreasing order.\nAnswer: -2, -3, -44, -145, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 2. Suppose -3 = 4*w - 7. Let d(m) = 149. Let s(c) = 99. Let g(z) = -2*d(z) + 3*s(z). Suppose -5*j = -4*j + 4. Give j*g(p) + w*r(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 4*c - 11*c**3 + 8*c.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5841 divided by -680.\nAnswer: 5841\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1897 and 1009?\nAnswer: 1914073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millimeter in micrometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -138*c**4 - 548*c**3 - 536*c**2 + 16*c = 0.\nAnswer: -2, 0, 2\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52.144975071 + 52.145. What is b rounded to seven decimal places?\nAnswer: 0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(98) + 1*sqrt(18))*2 - -4*(2 + (0 + sqrt(98))**2).\nAnswer: 34*sqrt(2) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 16*p + 2*p**4 - 2 - p**2 + 3*p + 12*p to the form x*p**2 + v*p**3 + n*p + r + l*p**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h - 26. Determine c(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 5*z + 5. Let w be l(-5). Let j be w\/20 + (-2)\/(-8). Let r = -3 + j. Solve 0*b - 5*b = r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 274676366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-75)\/(-5) - (-22368)\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 + 151. Suppose t - o = 22. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -590*q + 87. Is x(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-20))\/((-1157)\/12104).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9395*t**3 + 6*t**2 + 6*t - 19. Let c(w) = 31316*w**3 + 20*w**2 + 20*w - 63. Let d(g) = 10*c(g) - 33*i(g). What is the third derivative of d(o) wrt o?\nAnswer: 18750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1. Let d(b) = 5*b + 15. Suppose r - 45 = -2*r. Let k(c) = 20*c**3 + 7*c + 12 - 19*c**3 - 17 - 7*c**2. Let j be k(6). Determine j*d(z) + r*a(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(1\/26)*s\/(s*s**(-3\/7)\/s)*s**(-3\/13)*s**(-10\/9) assuming s is positive.\nAnswer: s**(1843\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -881a1 (base 12) to base 5\nAnswer: -21224402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 31*t + 95. Let z be i(23). Let d = z + -146. What is the highest common divisor of d and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/3 + 764788*x\/3 + 73112585618\/3 = 0. Calculate x.\nAnswer: -191197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33\/2027 or -1?\nAnswer: -33\/2027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11100000110001 (base 2) to base 10\nAnswer: -14385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in 1\/13, 1\/2, -0.1, -0.3, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 227 - 104. Calculate the remainder when c is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31\/155 + (-78564)\/(-5). Suppose -17*x - f = -36*x. What are the prime factors of x?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/(-35))\/5*-7*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q = 2118503 - 529103. Round q to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275.08 - -270. Let v = l - -0.08. Let f = -90 - -89. Put v, f, 3 in ascending order.\nAnswer: v, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, o: 1, i: 3, r: 5, e: 7}. What is prob of sequence roe?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Suppose -p*d = -4*o - 28, 3*d + o - 27 = 6*o. Suppose -d*n + 30 = 2. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*v*w*z + 2*v*w + 37310*v*z - v + 677*w + 166621*z wrt v?\nAnswer: 72*w*z + 2*w + 37310*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 150075850 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*s**4 - 14*s**4 + 9*s**4)*((-4 - 2 + 4)*(-2 + 2 - 1) + 3 - 1 - 3).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6))\/(2\/(-4)). Let w be -5 - -2 - (-3 + q). Is (130 + -3)*w\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 205200 and 2606800?\nAnswer: 70383600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 406\/1566*(-1 + 1 + 4 + -1)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -110638 by -262.\nAnswer: 55319\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 26384, 0.7 in ascending order.\nAnswer: -4, 0.7, 3, 26384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -84.2. Let v = 1754814.80139 - 1754796. Let c = v + s. Round c to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(2 + -2). Let c(b) = -b**2 + 8*b + 19. Let v be c(10). Let i(g) = -4*g**2 - 4*g - 2. Let f be i(v). Is q at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -23. Let m = 2.014 + f. Let u = -0.954 + m. What is u rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53962705721 less than -2?\nAnswer: -53962705723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6 and 65\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x + 4*x**2 + 2*x**3 - 10 - x**3 - 4*x + 18. What is the units digit of s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -258.6 + 276.6. What is the fourth biggest value in 2, b, -1, 5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22806.87 or 0.187?\nAnswer: 22806.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 7*j - 2*j + w, -4*j = 4*w + 24. Calculate the remainder when ((-1)\/((-4)\/j))\/((-1)\/28) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -923, -1846, -2769, -3692, -4615, -5538?\nAnswer: -6461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = -14*u + 152. Does 3 divide 4\/u - 864\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.9.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*n**3 - 2*c**3*n**2 - 32*c**2*n**2 + 19*c*n**3 wrt n.\nAnswer: -24*c**3 + 114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24400005 (base 6) to base 13\nAnswer: 212c2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2 - 1. Let n(d) = -d**2 - 6*d - 5. Let m be n(-4). Let t(a) = m*a + 3*a - 5*a. Give w(t(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:12 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -77*p - 487*p - 1703 + 1726. Is s(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347351 + 91963 = 2606*k for k.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40099.3207 + -1.26.\nAnswer: -40100.5807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m + 6. Let c(g) = -8*g - 5. Give 5*c(k) + 4*h(k).\nAnswer: -8*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*62222.\nAnswer: 311110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-3 + (1 - 12) + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (28 + (0 - (-13 + 37)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -10. Suppose 65 = 5*f - 2*v, -f - v = -2*v - h. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*1)\/((-4)\/66). Suppose -5*s - 2*j - 153 = 0, 2*s + 12*j + 46 = 15*j. Let y = x + s. Solve 7*b = 3*b - y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.33\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 46 = 12*r. Let t be (-2)\/11 - 90\/(-11). Let p = 77 - t. Calculate the highest common factor of p and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.56 (b) 11223.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1362100096 + -0.040458.\nAnswer: -1362100096.040458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 8:45 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -52. Let g = 13 - i. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8523784 or -8523782?\nAnswer: -8523784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 6*y**2 - 5*y - 3. Calculate o(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(70)*-2*2 - sqrt(70))*-3*5)\/(-6*(-3*sqrt(1440)*-2 - sqrt(1440))).\nAnswer: -5*sqrt(7)\/24 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let d(j) be the third derivative of -9*j**4 - 8*j**2 + 1. Give d(h(b)).\nAnswer: -216*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 880 - 1434. Let g = 556 + s. Which is the closest to 148? (a) g (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220605250?\nAnswer: 2, 5, 347, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 528. Suppose z - 3*z + 530 = 0. Suppose 5 = -q, -4*u = -5*q - z - a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45221 and -9531167?\nAnswer: 9576388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 25. Let i be g(-13). Solve -i = 4*w + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19489182 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -108 + -301 + 370?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**4 + 2304*w**2 - 20*w + 114.\nAnswer: 12*w**2 + 4608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqcdq. What is prob of sequence qad?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6336*y - 133046. Determine w(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:37 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305637 = -42*d + 72*d + 175863. Round d to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56796007 - -5?\nAnswer: 56796012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 12*g - 1638 = 54*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8042, -16107, -24174, -32243, -40314?\n\"Answer: -v**2 - 8062*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from {m: 4, l: 4, a: 6, y: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*-8680\nAnswer: 26040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11324\/(-745))\/(12\/(-15))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -22*k + 27*k. Let v(t) = 206*t**3 + t**2 - t + 7. Is v(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 80, 144, 242, 386, 588?\n\"Answer: 2*z**3 - z**2 + 31*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7 - 8 - 7 + 6 - 11*h. Let b be p(-10). Let s = 88 - b. Let y(j) = 4*j + 7. Let c(d) = -3*d - 6. Give s*c(v) - 5*y(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 10) to base 15.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(0 + 1 + 0)*(-1 - q + 1)*(-2*q + 4*q - 4*q) - q - 2*q**2 + q + (0*q - 3*q + 0*q)*(4 - 4 - q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a millimeter in micrometers?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/641056 and -35\/41808.\nAnswer: 1923168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52.07192 + 52.02. Round j to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -6444\/31, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 10 - (2 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/560*(-10)\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3\/3 + 19*h**2\/2 + 35*h - 8. Let t(f) = f**2. What is t(l(u))?\nAnswer: 4*u**2 - 76*u + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2592994 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8698*j**3\/7 + 269650*j**2\/7 + 372*j\/7.\nAnswer: 2*j*(j + 31)*(4349*j + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37544165*y**5 + y**3 - 4173*y - 86217 wrt y?\nAnswer: -750883300*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22218894, 44437791, 66656688?\nAnswer: 88875585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let h(c) be the third derivative of -c**4 + 3*c**2 + 7*c. Give i(h(n)).\nAnswer: -1152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17854 - -0.37854. Let q be 2\/10 + (-16)\/30. Which is the fourth biggest value? (a) 2\/19 (b) j (c) q (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3 + 4 - 8. Let l(b) = -3*b - 2. Determine -l(y) + 2*m(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**4 - 2*y**4 - 2*y**4 + (0 + y**3 + 0)*(7*y + y - 2*y) + 3*y**2 + y**4 - 3*y**2 to the form k*y**3 + t*y**2 + m + h*y + j*y**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1885420.1309941 - -1885420. Let a = k + 0.131. What is a rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(99*(-31)\/3348)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 3\/((-6972)\/(-8468)). Let k = -6\/83 - r. What is the closest to 1\/2 in 3\/8, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 66 = -4*m, 5*m - m + 75 = 5*u. Let k be m\/(-5) - (-3 + 2). Let b = k + -2. Solve 6*q = b*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 41*o - 60. Let q be z(5). Let r = 780 - q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f + 1. Let j = 1 - f. Suppose 0 = -j*t - t. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 180, 709, 1588, 2817, 4396?\n\"Answer: 175*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3982 divide 125695812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:11 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*(-10)\/150*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 5375?\nAnswer: 4837.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 16. Is ((-12)\/(-8))\/(g\/14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1773 = 220*m - 23*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18941027 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.056 - -0.044. Let p = 12.1 + 2.9. Let r = -11 + p. What is the closest to v in -4, r, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(33) - sqrt(33))\/(-4*sqrt(22)\/sqrt(2) - sqrt(11)).\nAnswer: 13*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 60*o**2 - 7*o - 14. Let n be i(-4). Suppose 0 = 4*l + 5*x - n, -2*x - 31 = -35. What are the prime factors of l?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29543?\nAnswer: 31, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1300) + 2 - sqrt(1300)) + 4 + -2*(5*(sqrt(1300) + sqrt(1300)*-1) + sqrt(1300)))**2.\nAnswer: -400*sqrt(13) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 880 + -471. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-10 - -11) - 13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6547 + 6570. What is the remainder when ((0 + 1)*-122)\/(-2) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Suppose z = -j*o + 1376, 6*o + 3*z - 1380 = 4*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4.6. Let q = 468.05 - 467.05. What is the second biggest value in l, q, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 5. Let b be a(4). Let t(d) = -d**3 + 9*d**2 - 9*d + 9. Let o be t(8). Let p = o - b. Solve -7*l + p*l = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from hzhzzzhtzhhhzz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1161758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-15)\/40)\/((-9)\/6). What is the third biggest value in 8\/9, 2, m, -0.5?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-855)\/(-12))\/(-57))\/(4\/160)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1836, 1773, 1668, 1521, 1332, 1101?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4 - 2*b - 2*b**3 + 2 + 3 + 11*b**2 - 15*b**2. Let l be d(-2). Suppose 0*x - 4*x + 29 = z, l*z - 40 = -5*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*m = -18*m - 652 - 1174 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122243.\nAnswer: 11, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209658 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/6)\/v)**5\/(v**3\/v**(-11)))**(3\/8) assuming v is positive.\nAnswer: v**(-79\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 496*t - 23874. Determine n(48).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1846904432 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.108 - -0.10485. Round g to 4 dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908*i + 906*i - 4 = 2*b, -8 = 4*b + 7*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -29 - (1 - -13)) + 20\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t**(1\/5))*t)\/t)\/t*t)\/t**(2\/89))**(-25) assuming t is positive.\nAnswer: t**(495\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = 45*d - 3*d + 127. Let x(v) = -2*v**2 - 15*v + 23. Give x(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-238)\/(-68) - 1\/2. Is b + 3 + 1 + 12190 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) 3568189 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273355686 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207574237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/9 - 2\/(-6). Let o be j\/10 + (-14)\/(-4). Suppose -o*i + 2*i = -6. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - b8?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(134752*g**3 + 1555*g**5 + 1 - 134752*g**3).\nAnswer: -6220*g**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -349768, -1399031, -3147792, -5596051, -8743808, -12591063?\n\"Answer: -349749*c**2 - 16*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-8)*80\/20. Let c(k) = 5*k**2 + 8*k + 2. What is c(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361575868*h - 361575868*h + 54*h**3.\nAnswer: 54*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*u + 5, 3*u = -2*u - 5. Suppose 0 = -6*x + r*x. Solve -8 = -x*q + 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let u(s) = 219*s**2. What is c(u(y))?\nAnswer: 219*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 881873*d**3*t**3 + d**3*t**2 + 2*d**3*t + 73*d**2*t**3 + 1229*d**2*t**2 + 410*d*t wrt t?\nAnswer: 5291238*d**3 + 438*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -14*q. Let f(h) = -7*h. Let p(o) = -4*d(o) + 7*f(o). Let s be p(-1). Let m = -4 + -2. Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 + 4)*(0 + q + 0) + 2*q + q + 15*q)*(-5 + 5 - 2*q**2) as b*q + n*q**3 + o + k*q**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -355*w - 66*w - 14*w - 3161580. Which is smaller: w or -7269?\nAnswer: -7269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74 + -532e?\nAnswer: -52aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 5*j - 90, 729*j = 697*j - 512 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 5*c - 11*c - 2*c + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(210)*-1 + sqrt(210))\/sqrt(5))\/sqrt(6) - sqrt(84)\/(-1*sqrt(972) - sqrt(972))).\nAnswer: sqrt(7)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17\/((-85)\/(-232)))\/((-2)\/(-10)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 4 (b) 2\/9 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 4686?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - v = -1843, d + 3*v - 924 = 2*d. What is d rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 85 = -5*z - 4*q, 0 = -2*z + q + 25. Suppose 8*m - 3*m = z. Suppose 15 = 2*o + m*o. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1071 and 245973?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2 - 24*c - 144 = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 10. Solve 2\/9*q**f + 2\/9*q**4 + 0*q + 4\/9*q**3 + 0 = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*y + 32, 0 = -5*g + 16*y - 12*y - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20744.82 nanoseconds to hours.\nAnswer: 0.00000000576245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = 79. Let y be -10*(l\/15)\/3. Let -3*x**4 - y*x**5 + x + 3*x**5 - 2*x**2 + 0*x + 5*x**4 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 - 71 + 131 + 8 - 294*c as a*c + y and give a.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 91*c - 1070. Determine p(-19).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-4 - -1) - 251. Let l = s + 255. What is the smallest common multiple of 60 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1, -78.\nAnswer: -78, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 4:34 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 2 m when four letters picked without replacement from {m: 1, a: 1, p: 4, s: 2, q: 1, r: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-114)\/63)\/(6\/81). Factor 12\/7*y + 2\/7*y**2 + r.\nAnswer: 2*(y + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14126164 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 52 = 3. Let y be (17 - w) + -2 + 0. What is the third derivative of 5*v**2 - 16*v**6 + 12*v**6 + y*v**2 wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 - 36801*r + 3324048 = 0.\nAnswer: 91, 12176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 211*h**2 + 1879*h - 181. Calculate w(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*r**2*x - 2*r**2 + 5*r*x + 45*r wrt r.\nAnswer: -110*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 11:17 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + -0.73. Let d = m - -1.1. Which is the nearest to -0.5? (a) 5 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.1 + 42.4. What is the third biggest value in 1, -3.4, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -3 - 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-39) - (-270)\/(-65). Let q(c) = -9*c**2 + 4*c. Let w(b) = 8*b**2 - 3*b. Calculate z*w(y) - 3*q(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j - 822. Let y be l(0). Is 17 a factor of 9\/(-6) + y\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.2, -35.5, 1, 0.0669?\nAnswer: -35.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*l - 152*l = 27*l + 5922 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 209*y**6\/30 - 31*y**3\/6 - 2*y**2 - 346*y. Find the second derivative of p(r) wrt r.\nAnswer: 2508*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**5 + 121*f**2 + 11*f**5 + 4*f**5 + 0*f**5 wrt f.\nAnswer: 1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.057 + -0.131. Let h = -0.704 - d. Let i = h + 0.24. What is i rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12) + (-12166)\/(-51) + 12\/102. Calculate the greatest common factor of z and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 1. Let o(b) = -6*b**3 - 12*b - 4. Give 4*m(w) + o(w).\nAnswer: -2*w**3 - 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 16*g**2 - 38*g + 29. Determine p(13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -1)*(-8)\/6. Put -2, c, 1 in ascending order.\nAnswer: -2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 88 = -2*x - 190 + 58, -11*x - 164 = -8*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365.8 + 366.5. Which is the second smallest value? (a) 3\/4 (b) -0.15 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*f - l, -2*f - 5*l + 5 = -15. Suppose -j = -f - 6. Are j and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3\/3 - 730*g**2\/3 + 48752*g\/3 = 0?\nAnswer: 0, 88, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 + 2.9. Let v = 4.2 - x. Let h = -29 + 26. Which is the closest to -4? (a) 3 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/184 - 547\/920. Let u = 5790 + -5792. Sort 3, u, -4, o.\nAnswer: -4, u, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 466 + -427. Solve -u*v - 15 = -34*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/(-80))\/(-2 - 3\/(-2)). Let r be (-7)\/(-21) - 4\/(-6). Sort r, b, 36 in increasing order.\nAnswer: b, r, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u**11))*u*u\/(u\/(u\/u**(2\/21)))*u*(u**0\/u)**(-25) assuming u is positive.\nAnswer: u**(838\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12302 or -1463985\/119?\nAnswer: -12302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -199. Sort -3, i, 5 in increasing order.\nAnswer: i, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + l - 1 = 0, r - 4 - 1 = 4*l. Let i(p) = -p + 4 + 0*p + r. Let q be i(7). Which is the second smallest value? (a) q (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9613161 - 2767103?\nAnswer: 6846058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2891 = -n, 2*v - 5*n = 7*v - 14465. List the prime factors of v.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 13 = 2*g, -3*g + g = 4*i + 16. Let o = 35 + -35.02. Let v be (0 + 0\/3)*1. Which is the nearest to 1\/4? (a) v (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.27641 + -0.67379. Let g = l - 0.0998. Let k = g + 21. Is -1 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4385094.\nAnswer: 2, 3, 7, 131, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/133 and 57\/91?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 - (18\/(-3))\/(-2). Let w(c) = c - 6. Let b be w(x). Let g be (-1 + 1)\/(-1 - -2). Solve r + b + g = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 10, -3*m + p - 29 = -p. Let f = m + 17. Suppose -f*t + 76 = -2*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, v: 1, r: 1, o: 1, m: 1}. What is prob of sequence lvrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 26*c - 1628. Give w(65).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -1\/12*g**4 - 3*g**2 + 3*g + 3\/2*g**3 + 0. Is 8 a factor of d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 25. Solve 3*h + 2*f + f - 24 = g, -4*h - 5*f + 36 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*20\/(-8) - (18 + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -13, 0.3, -68, 0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 79. Suppose -10*n + x*n = 67. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + -4. Let y = -5 - i. Suppose -3*j - 3*d = -0*j - 3, 3*j = 3*d + y. Sort j, -1, 0 in descending order.\nAnswer: j, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*w - 4*w = 50, 5*w + 10 = 0. What is the units digit of 7\/j*(-2 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -17. Let a = f - 35. What is the highest common divisor of a and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32967 and 6105?\nAnswer: 164835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*2*6)\/sqrt(2).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-21)*(-2 + -4). Let d be 4 - (0 + g\/(10\/(-35))). Which is greater: d or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.976 + 1.176. Which is smaller: h or -0.591?\nAnswer: -0.591","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3328*v**2 + 12011*v**2 - 5360*v**2 + 14848*v**2 + 14131*v**2.\nAnswer: 32302*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 23ac91?\nAnswer: 23ac90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 450, -1189, -4, 2 in ascending order.\nAnswer: -1189, -4, 2, 7, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/4 and 7\/116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7 + 3 + 4543\/1320 and 13\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 22*t**2 + 94*t + 1524. Determine j(-23).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c**2 - 212*c + 16. Let p(j) = -5*j**2 + 71*j - 6. What is 4*n(t) + 11*p(t)?\nAnswer: t**2 - 67*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + g + 2. Let z = -24 + 26. Let m be n(z). Suppose -3*l + 147 = -3*u, 1 = 5*u + m. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1326315293 to the nearest integer?\nAnswer: 36419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 13*w + 12. Suppose 5 = 5*t - 5. What is the smallest common multiple of t and p(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -5.\nAnswer: -5, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8350764923 to the power of 1\/2, to the nearest integer?\nAnswer: 91383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 893 in decreasing order.\nAnswer: 893, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from {a: 1, l: 1, o: 3, s: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 4 + 4 + (0*v**2 + 0*v**2 - v**2)*(3 + 2 - 7) + 5 - 5 + 3*v**2 - v**2 + 3*v**2 + v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.563 * 0.138.\nAnswer: 3.803694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073982 is divided by 166.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7*j + 165 = -2*j, -3*t = 4*j - 123. Suppose z - 9*f = -4*f + 29, 5*z = 5*f + t. Solve -z*w - 4 - 16 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1201021121 (base 3) to base 8\nAnswer: -101713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1142 (base 9) to base 8\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-142)\/8 - 4\/16. Calculate the smallest common multiple of 5 and -2*(-3)\/(-12)*x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 7*z**3 + 149*z**2 - 149*z**2 + 3*z.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 28. Let w = r - -55. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*(-40)\/25. Let j(d) = -11*d**3 - d**2 + 3*d - 4. Let l(n) = 11*n**3 + n**2 - 4*n + 5. Give s*j(p) - 3*l(p).\nAnswer: 11*p**3 + p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 0.8 (c) 2\/209 (d) 1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 4 = 0. Suppose -22 = o - 8. Calculate the smallest common multiple of h and 1\/((-2)\/(o*1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179700 rounded to the nearest one thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Suppose -3*i - x = -15, 2673 = -5*i + 4*x + 2681. Solve -2*u - z*k + i = -4*u, u - 3 = -k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 2*l - 46, -5*i + 3*l - 93 + 94 = -87 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 28 = -5*c, 159*c + i = 160*c - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/2, -81?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 32. Let u(m) = m**3 + 6*m**2 - 6*m + 12. Calculate the least common multiple of u(-7) and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2345*v**2 - 9*v + 58. Let w(k) = 2*k**3 - 3*k - 8. Let q be w(-2). Let l be h(q). Round l to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482867.\nAnswer: 7, 11, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 5391?\nAnswer: -538b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-488)\/(-183) + (-5075)\/75?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10*a + 8. Let d be h(10). Let v be d*(44\/(-16) + 3). Is v at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**4\/4 - 117*q**3\/2 - 678*q**2 + 47*q + 24. Factor r(v).\nAnswer: -3*(v + 4)*(v + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m - 3. Let z(d) = -3*d**2 - 3*d + 6. Let h(l) = -5*b(l) - 2*z(l). Let s be h(0). Suppose x - 80 = -s*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503169736393 + 0.0095\nAnswer: -503169736392.9905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-2)\/6*0. Let d(v) = -s*v + v + 6 - 6. Let r(n) = -11*n - 7. Let h(a) = 5*a + 3. Let p(q) = -7*h(q) - 3*r(q). Calculate p(d(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 925671.5 rounded to the nearest 100?\nAnswer: 925700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 31*d - 26*d - 20, 5*d - 20 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by 1?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1080, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1872, 0.1, -3\/4, -7, -4, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*c**2*h*t**2 - c**2*h*t - 2*c**2*t**2 + 688*c*t**2 - 2*h wrt c?\nAnswer: -230*h*t**2 - 2*h*t - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u - 52. Let h be q(-6). Is 12\/h - (-24846)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*-1*(53\/1)\/(-53).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/291 or 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/97 (b) -0.0535 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)*d*d**(-4\/5))\/(d**0)**(-25) assuming d is positive.\nAnswer: d**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14477581 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -28. Suppose 0 = -0*d - 2*d - 4. What is the closest to 1\/3 in 0.4, y, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37312 divided by -5.\nAnswer: 37312\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53987 is divided by 327?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**19*p)\/p**(-11))\/(p**2)**(-7) assuming p is positive.\nAnswer: p**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 0.136, 0.071 in decreasing order.\nAnswer: 0.136, 0.071, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21136, 42059, 62982, 83905?\nAnswer: 104828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 14*k + 2. Let c be g(-14). Let t(b) = -13*b**c + 2 - 2 + 11*b**2. Let d(u) = -8*u. Calculate d(t(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, and 1 t when three letters picked without replacement from tixzi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48563, -97088, -145613, -194138?\nAnswer: -242663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3130 - 3054. Which is smaller: w or 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -66.2\nAnswer: 397.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 583481369 to the nearest integer?\nAnswer: 24155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose 3*q - u = v, 4*q + v - 4 = 6*v. Suppose 0 = y - 4*x - 1, -3*y + q = 3*x - 62. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143340 divided by -2389?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 15) in base 8?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*r + 2*r - 274 = -28*r. Solve -9\/7*c + 3\/7*c**3 + 0*c**r - 6\/7 = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)*a**(-2\/9))\/(a**(-6)*a**3*a)*(a**(2\/5)\/a)**(3\/13)*a**(-3\/7)*a*a\/a**4 assuming a is positive.\nAnswer: a**(-155\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 9*y**2 - 3. Let g be c(6). Suppose -g = -v - 28. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**3 + d**3 + 4*d**3)*(-5 - 49*d - 49*d + 97*d) to z*d + r*d**3 + x*d**2 + w*d**4 + p and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 2*h = -4*b + 27, -14*b - 5*b - 5*h + 16 - 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32\/5 of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 70*c - 14297. What is r(-86)?\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - 2*sqrt(1728))\/(sqrt(8) + 3*(sqrt(8) + sqrt(128))))\/((-1*sqrt(686))\/((sqrt(448) - sqrt(28))\/sqrt(4)))*-4.\nAnswer: -9*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*d = d + 32, 3*d + 9 = 0. Let v = y - -12. Suppose m - 44 = -3*m + v*z, -5*z = 3*m - 46. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 53544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 1. Let i(c) = -c + 6. Let s be i(7). Let q be n(s). Suppose 2*r - 4*r = q*y - 60, 3*y = -2*r + 93. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 6*k + 2. Let h be f(6). Suppose -4*l + 40 = -h*l. Suppose -a = -l + 6. Calculate the remainder when 41 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77)*3)\/sqrt(11))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/72 and -76\/2391.\nAnswer: 57384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 + -69. Let v = h + -41. Let d(r) = -2*r**2 + 8*r + 1. Calculate d(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6497182 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-266)\/(-114))\/(-2 - 11\/(-6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -64. Suppose -9 = -b*a + 11, -g = -a - 72. Suppose -i - g = -86. What is the remainder when 19 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/((-2)\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39071 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(95) - (sqrt(95) - -5*(sqrt(95) + (sqrt(95)*-2 - sqrt(95)) + sqrt(95)))))\/(-6*((1*sqrt(605) - sqrt(605)) + sqrt(605) + sqrt(605))*2).\nAnswer: -25*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 16886*l**2 - 35*l + 18*l + 15*l to the form b*l + m + y*l**2 and give y.\nAnswer: -16886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s + 132 + 88 = -4*g, 5*g - 5*s = -125 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppkiipibppkpikkki. Give prob of picking 2 k, 1 i, and 1 b.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/5, 2\/9, 13, 2\/7, 0.0796?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 25. Determine r, given that -3*r**3 + v*r + 3*r**3 + 4*r**3 + 8*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 + 0.01. Is x smaller than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*y**2 - 648\/5 + 154\/5*y.\nAnswer: 2*(y - 4)*(y + 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29272603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19.081179 microseconds?\nAnswer: 0.00000031801965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.4, -4\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, z: 5}. What is prob of picking 2 a?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 10. Suppose -2433 = -10*p - 223. Let t = 225 - p. Solve -5*k - a - 1 = -t*d, d - 6 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdd when four letters picked without replacement from {j: 5, d: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 28 - (-13 - -23 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1050 - -3367. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27316794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31085 + -7?\nAnswer: -31103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6)*(4 + -28). What is the nearest to d in -1, 2, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.1, -2, 0.04, -1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 417474582 a multiple of 3129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 0.5, -6\/5, -1, -1\/3 in increasing order.\nAnswer: -6\/5, -1, -1\/3, 0.5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1 + (1 - 2). Let y = -0.7 + 1.1. What is the third biggest value in -5, y, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 1. Let x(w) = 31*w**2 + 8. Determine -24*q(z) - 3*x(z).\nAnswer: -69*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrrc when four letters picked without replacement from {r: 3, l: 4, c: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-142 + 1791 + 181)*(7 - 3*s - 7) to the form h*s + t and give h.\nAnswer: -5490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -8, 0.3, 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*4\/(-20) - -1. Suppose 0 = -m + 5, -3*m - 30 = -5*i - 7*m. Factor 17*d**i - 5*d**2 + 3*d**3 - 2*d**s - 4*d**2.\nAnswer: 3*d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 20 = -5*z, -1444*w = -3*z - 1442*w + 12. Sort 2, z, 6, -1, 50 in ascending order.\nAnswer: -1, 2, z, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0152 times -5\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 231.9951 - 232. Let i = y - 3.9951. Put -2, 0.134, i in ascending order.\nAnswer: i, -2, 0.134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m**3 + 7*m**2 - 7*m - 10. Let w(f) = -f + 4*f**3 - 2*f**2 + 10 + 3*f - 5 - 2. Determine -7*w(a) - 2*y(a).\nAnswer: -2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2591*h + 4. Let x(n) = 526*n + 1. Calculate 3*i(u) - 14*x(u).\nAnswer: 409*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**3 + b**2 - b - 1. Let r(p) = 114*p**4 - 48*p**3 + 12*p**2 + 93*p - 12. Let j(z) = 12*i(z) - r(z). Find the second derivative of j(w) wrt w.\nAnswer: -1368*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 + 57 - 18*h + 4*h + 6 - 6 + (4 - 4 + 1)*(3*h - 2*h + 0*h) - 2 + 2*h + 2.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, -8\/7, 0.129 in descending order.\nAnswer: 230, 0.129, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17170083 is divided by 59412?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 24104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 446892899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 1. Let c(k) be the second derivative of k**5\/20 + 5*k**4\/12 - k**3\/2 + 3*k**2 - 37*k. What is 6*b(q) + c(q)?\nAnswer: q**3 - q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*q + 497 = -273*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/211, -2\/23, 0.03, -5, 0.4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4395, -9201, -14007, -18813, -23619, -28425?\nAnswer: -33231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -7*t**3\/6 + t**2\/2 - 3*t - 11. Let v be -2 - (3 + -7)\/4. Determine j(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.597, 0.815, 4?\nAnswer: -2.597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:53 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose -h*v + 5*a + 2265 = 0, 676 = 2*v - 5*a - 459. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -774 or -773?\nAnswer: -773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3073522 rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158849\/44184 - 1\/14728. Find the common denominator of n and -47\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**3 - 4*t**2 + 1. Let a be o(-3). Suppose 4*g - a = 222. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.3, -15, -211, -0.5 in decreasing order.\nAnswer: -0.1, -0.3, -0.5, -15, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3, w + 2*i - 56 + 59 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33005*h - 3 = 5*l + 33001*h + 106, -3*l = 2*h - 27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - 258169*u**3 + 5*u**2 + 258075*u**3.\nAnswer: -94*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:50 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 5 = -4*m - 26*k, -5*k + 5 = -5*m. Let p be -2 - (-1 - 1 - 0). Put m, p, -1, -2 in ascending order.\nAnswer: -2, -1, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19\/3*f**2 + 0 + 0*f + 1\/3*f**3.\nAnswer: f**2*(f - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Suppose -o + 25 - 1 = -z*l, -5*o = 4*l. Find the second derivative of c**o + 0*c - 4*c + 2*c wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/420 - 31*p**5\/210 + 8*p**4\/3 + 256*p**3\/21 - p**2 + 8. Factor y(i).\nAnswer: 2*(i - 16)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 2 (b) -117 (c) -0.4 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -534 + 142. Suppose 0 = -n + 3 + 9. What is the remainder when (-4)\/((o\/(-231))\/(-14)) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - 3. Let j(d) be the second derivative of -d**4\/12 - d**3\/6 + d**2\/2 + 5*d - 2. Determine i(l) + 3*j(l).\nAnswer: l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 362*w + 330. Let u(x) = -1088*x - 1056. Let g(h) = -16*k(h) - 5*u(h). Let z(y) = 52*y. Calculate g(z(n)).\nAnswer: -18304*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 19*a + 14. Give v(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.6 - 3.8. Let v = 18.2 - 24. Let l = v + r. Which is the third smallest value? (a) -3 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5*l + 16395, -2573 - 38423 = -5*p + 4*l. What is p rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 8*z - 1. Let w(a) = -16*a**2 + 40*a - 260. Calculate 5*p(f) - w(f).\nAnswer: f**2 + 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**3*p)**(-8\/7))**12*((p**3)**(-18))**(-38) assuming p is positive.\nAnswer: p**(14460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/132 and -34\/39141?\nAnswer: 1722204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*3\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**2 + 2*y**2)*(y**2 - 7*y**2 + 4*y**2) + (-3*y**3 + 0*y**3 + 2*y**3)*(-3*y + 0 + 0).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3*f + 4. Let m be y(3). Suppose 4*a + 5*h - 33 = 0, -m*a = -h + 4*h - 23. Put -4, a, 5 in descending order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 2. Let b be m(5). Let q = b - -11. Suppose -23 = -a + 4*i, q*i = a + 2*a - 29. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12416382 is divided by 255?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(601*t**2 - 442*t**2 - 477*t**2) to p + v*t**2 + r*t and give v.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/((-196)\/91)*4. Suppose -2*x + q = -3*r, 5*x + r = 7*x - 7. Which is the nearest to 3\/10? (a) x (b) -1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - (23 + -18 + -12)) + 5?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 77, -2\/3, -3\/2.\nAnswer: -15, -3\/2, -2\/3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -7*c + 0 + 0*c**5 + 0*c**2 + 2\/15*c**6 + 0*c**4 + 2\/3*c**3. Find the second derivative of k(m) wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + -8 - (-172)\/42\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:19 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 58\/3*18\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 402030?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 132*q - 649. Give d(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -922 + 1658. What is the second derivative of -87*f**2 - 663*f + 2*f**3 - a*f + 1607*f wrt f?\nAnswer: 12*f - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y = 170. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/((-15)\/(-60)). Suppose 3*i + 75 = -3*q, 62 = 2*i - 4*i + q. Let y = i - -27. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3688 (base 14) to base 5.\nAnswer: -301103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1, -6.9.\nAnswer: -6.9, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 29250468.\nAnswer: 321755148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/9, 0.2, -0.3, 22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 741.630966 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)*(h*(h*h\/h**(3\/28)*h)\/h*h*h)\/h)\/(h*h**(2\/19)*(h*h\/h**20)\/h*h))**(-3\/13) assuming h is positive.\nAnswer: h**(-2593\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 20. Let k(b) be the second derivative of b**3\/6 - 9*b**2 + 4*b + 10. Let g(p) = -5*k(p) + 4*n(p). What is g(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3*u - 7*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.0389846?\nAnswer: -0.1169538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.6 + -99.6.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -12*b**2 - 527*b + 108. Let f be r(-44). Solve 0 = -3*d - 4*u - 20, f*u + 25 = -4*d + 59*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/190 and 81\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 259*o. Let b(g) = 156*g. Give b(m(x)).\nAnswer: 40404*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*p + 7. Let w be ((p + 1)\/4)\/(-2). Solve w = -4*g - 8, 2*o - g = -5 - 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -816 - -2549. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 300*o**5 + 1948*o + 1128. What is the first derivative of c(t) wrt t?\nAnswer: 6000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c + 5. Let z be l(-4). Suppose -5*v - 12 = 2*u - u, -4*u + 3*v = -z. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1248 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 153*t - 220. What is the remainder when a(2) is divided by (1863\/6)\/9*2\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 2)*(-2*n + n**4 + 2*n) + (-3*n**3 - 2 + 2)*(-5*n + 2*n + 2*n) as o*n + s*n**2 + r + z*n**4 + p*n**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 8\/(-4) - -2. Let p be (c\/(-2) - -3) + 8\/(-32). What is the closest to p in 2, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 21448 + 21448.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:26 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1.4 (c) 0 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 90 = -5*y + 3*x, 4*y - 84 = 4*x. Let a = 37 - 7. What is the remainder when a is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3860256179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/(-16))\/(4\/(-16)). Suppose 3*x + 42 = 6*x - 3*o, 5*x + 5*o - 120 = 0. What is the remainder when x is divided by ((-2)\/(-4))\/(g\/(-300))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1754 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9108 and 3?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(49) + sqrt(49)) + 6*sqrt(98)\/sqrt(2))\/((sqrt(1050)*-1)\/((1*sqrt(12) - sqrt(12) - sqrt(12))\/sqrt(2))).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-142)\/(10508\/(-518)) + -2 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 143355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82061 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265 + -164. Suppose x = c - 79. Suppose 0 = -8*n + 3*n + c. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7783 tonnes to nanograms.\nAnswer: 2778300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**2*n**3*t - a**2*n**3*x + 2*a**2*n**2*x + 2*a**2*n**2 + 2*a**2*n - 16*a**2*t*x + 3*n**3*t wrt n.\nAnswer: -24*a**2*t - 6*a**2*x + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**9*c))\/(c\/(c\/((c*c**5)\/c)))*c**(2\/7)*c**(-9)\/c*(c*c**1)\/c*c**(-2\/11)*c**(-1\/7)\/c*c\/c**(1\/5)*c assuming c is positive.\nAnswer: c**(-8562\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 20. Suppose -v*y + 5 = -67. What is the lowest common multiple of 15 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 9*s**2\/4 + 5*s + 3.\nAnswer: (s + 1)*(s + 2)*(s + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*y = -95*y - 52. Solve 0 = y*o + 32*o - 36 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 5*o - 4. Let b be m(-4). Suppose -c + 6*c - 20 = b. Let k = 2 + c. Solve -k = n - 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 - 15*k**2 + 3. Let j(n) = 4*n**3 - 14*n**2 + 2. Let c(r) = -r**2 - 8*r - 12. Let h be c(-5). Let o(y) = h*j(y) - 2*t(y). Factor o(u).\nAnswer: 4*u**2*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-8)\/(-26)*((-114)\/19)\/(-24)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -48*i**5 - 4152*i**4\/7 - 8541*i**3\/7 - 6372*i**2\/7 - 1620*i\/7 = 0.\nAnswer: -10, -6\/7, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**2\/2 - 1. Let u be (6\/4)\/((-15)\/20). Let f(m) = m**2 + 3*m - 1. Let h be f(u). Give w(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29496.\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x = 398*x - 6162 + 32976 + 6920 for x.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8142, -16155, -24126, -32055, -39942, -47787?\n\"Answer: 21*y**2 - 8076*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.7, 0.768, 4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 3*z + 11 - 13.\nAnswer: 7*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4512 or 4511?\nAnswer: 4511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 190 (b) 1 (c) 36 (d) 0 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**3 + 4*y**3 + 9*y**3 + 12*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**2\/2 + 11*q - 3. Suppose -4*l - l + 40 = 0. Is m(l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21231150 to the nearest integer?\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 15 = 3*c + 8*a, 35 = -5*c + 5*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2558764448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-4)\/(-2) - 1. Let j = l - -5. Suppose 2*w = -j*w - b + 12, 2*w - 8 = -2*b. Solve 2*q + u = 0, -3*q - q + w*u - 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 7*k**5\/60 - k**3\/6 + k**2 - 560. Suppose -2*c - 13 + 11 = 0. Calculate h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411615 (base 13) to base 5.\nAnswer: -342020322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6416*b - 12088. Let n(c) = 6415*c + 12036. Let l(t) = -3*n(t) - 2*w(t). What is the first derivative of l(v) wrt v?\nAnswer: -6413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/4 + 11*n + 121 = 0. Calculate n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 - y - y**2 + 9*y**4 - y**3 - y**3 + y**2 - 1 - y**2 in the form g + b*y**3 + a*y**4 + j*y + w*y**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:38 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447396 is divided by 7216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4230411 + 2?\nAnswer: 4230413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 7102774?\nAnswer: 7102777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 100*l - 15737. Give n(-85).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 899 - 317. What are the prime factors of o?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 63?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158817632?\nAnswer: 2, 73, 67987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540\/105 - 3\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248600 rounded to the nearest 10000?\nAnswer: 3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2342861 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 21556.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 4*b**2 + 2. Suppose -447 - 939 = 14*m. Let w = 103 + m. Calculate k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23401 - 3467*m - 23401 + 2*m**2 - 10187*m.\nAnswer: 2*m**2 - 13654*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwwn when four letters picked without replacement from wnwwwwpnwwnnnwwwnwn?\nAnswer: 385\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44093810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**7\/420 + p**6\/240 - 3*p**2\/2 - p. Let s(v) be the first derivative of k(v). Factor s(d).\nAnswer: d**3*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961.815 litres to millilitres.\nAnswer: 961815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-45))\/((-4)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*j - 25. Suppose -j = -4*q + 12. Sort 1, q, 3 in decreasing order.\nAnswer: q, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxyxymxyxxmmy. Give prob of sequence xmm.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 1519?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -42\/25 (b) -0.3 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 34*n**2 + 5*n + 4. Suppose 4*m = -4*t - 24, -m - 6 = -t + 2*m. What are the prime factors of f(t)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222 + -731. Let p = j - -1444. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4\/9))**(-34)\/(c*c**(3\/7)*c*c**(-46)) assuming c is positive.\nAnswer: c**(1555\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-8)\/(-2))\/((-4)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(50))**2 + sqrt(2)) - (4 + sqrt(2) + -4).\nAnswer: -300 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 71 - 85 = 0. Let j(v) = 3*v**2 - 29*v + 55. Does 8 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(176)*-1 - sqrt(176)) - (sqrt(200) + -1*sqrt(200) + 4).\nAnswer: -4 - sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -34. Is j at most -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-7)\/(11 + 4184\/(-380))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*k = 121*k - 41652. Does 169 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7812 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 greater than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8033 - 8816.1. Round j to the nearest 10.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 16*q**2 - 18*q - 2. Give v(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3186*t - 16. Let l(w) = 16503479*w - 82888. Determine 4*l(k) - 20722*r(k).\nAnswer: -6376*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 56*d**2 - 328*d - 154. Give t(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 4. Let w be b(0). Suppose -5*i + 24 = w. Let x(h) = -16*h**3 - 2*h**2 - h. What is the remainder when x(-1) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53584 is divided by 491?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 251741378 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*g*o - 3*g + 11 wrt o.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8750406 divided by -7\nAnswer: 1250058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 2. Let w be x(0). Suppose 0 = w*j - 7*j + 115. Calculate the remainder when j is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**7\/210 + 7*o**6\/24 + 11*o**5\/20 - 35*o**4\/24 - 17*o**3\/3 + 902*o**2. Factor r(g).\nAnswer: (g - 1)*(g + 1)**2*(g + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -5. Let d(c) = -c. Let a(k) = 12*k. Let f(i) = -a(i) - 9*d(i). Let t be f(u). Solve 0 = 2*v + v + t*l + 24, 4*l + 14 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 + 51?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/19 + 46*p\/19 + 180\/19.\nAnswer: 2*(p + 5)*(p + 18)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*g - 101 + 90 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l = 56*l - 21. Sort -32, -4, l in decreasing order.\nAnswer: l, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4 + 12*z**3 + 18*z**2 + 8*z = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-546)\/(-35))\/((-2622)\/(-10925)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -155, -147, -139?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/912 and 2266\/6270*1\/8 + 38 + -38.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 + 2*f**2 + f. Suppose y - 8 = 0, 4*y - 368 = -4*j - 240. What is the smallest common multiple of w(-1) and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 691840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 + 2*1\/(-5). Solve 4*p - 5*p - 2 = d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 451\/1436?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - b + 19 = 1, -5*b = -20. Let g be 8\/(-14)*x\/(-2). Suppose 2*w + 4*y = 4*w - 162, g*w = 5*y + 159. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-231))\/(2\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4821)\/2 - 5)\/((-2)\/4). Suppose i = 13*u + 827. Suppose 16*v - 18*v + u = 0. What are the prime factors of v?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 6*p + 27 = 0. Solve p = 4*s - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2376 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1693966 and -8.\nAnswer: 13551728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2000*z + 3*q - 4 = 1999*z, 5*z - 5*q + 20 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40693183 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 372*d + 17162. Give i(-49).\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -573719 to the nearest one thousand.\nAnswer: -574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1805 - -3693\/2. Calculate the common denominator of m and -79\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646267.595 rounded to the nearest one thousand?\nAnswer: 3646000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169*w**2 + 169*w + 517130.\nAnswer: 338*w + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210182 (base 12) to base 14.\nAnswer: -d701c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 + 264 = -5*l. Is (-2 - 0)*l\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*k + 4 + 1, -5*y = 2*k - 5. Suppose y + 3 = 4*s. Sort 0.3, 1\/3, s in decreasing order.\nAnswer: s, 1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - (2 - 232\/(-80)))*-1 and -11\/347.\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2457*y + 723*y - 164730 = 0 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-50)\/(-6) + (-18)\/(-27)). Suppose j*x + 1 = -8. Sort x, -4, 4 in decreasing order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 89939322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6872 + 6875. Solve -3*g + 0*l - o = -3*l, -l = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhz when three letters picked without replacement from xzezhzhyzhhhh?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 23 = -2*f, -8 = -3*n + 3*f - 29. Let t be 8\/(-4) + n + 7. Sort t, -30, 3 in increasing order.\nAnswer: -30, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/3 + 4*o**3\/3 - o**2\/3 - 4*o\/3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78516407 or -78516405?\nAnswer: -78516407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - t - 11. Let d be (t\/(-2) + -2)*10. Let c = d + -28. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 6590, -1 in descending order.\nAnswer: 6590, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -319b55 + -292?\nAnswer: -31a227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 0, y + 5 = b - 3*y. Solve f - 6*f - b = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -27*v + 2. Let a be x(-3). Let f = a - 48. Suppose 6*i = 11*i - f. Put 4, -1, i in increasing order.\nAnswer: -1, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4244 + 141300?\nAnswer: 132001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258184219?\nAnswer: 17, 467, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 238, 499, 854, 1297, 1822, 2423?\nAnswer: 3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbyp when four letters picked without replacement from wpbbybpwpkbbwkyk.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - -332?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42262 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0516 - -6.9484. What is the second biggest value in h, 0.3, -1, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17046 - -26064. Is 54 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 33108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8707941 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 5*c - 8586 = 12*d, 0 = -3*c. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -84*s. Let r(o) = 8*o. Let i(h) = h**2 + 22*h + 85. Let k be i(-13). Let y(j) = k*r(j) - 3*w(j). Let v(b) = -50*b - 2. Determine y(v(q)).\nAnswer: 200*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from {y: 1, l: 1, v: 2, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**6\/180 + w**5\/30 + 16*w**3\/3 - 23*w. Let j(z) be the second derivative of x(z). Suppose j(c) = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/a)**(-35)*a**(2\/23)*a\/(a*a*a**(1\/2)\/a)*a)\/(a*a\/(a\/((a*a*a**1*a)\/a))*a**(-5)*a**(-9)\/a**(-4)) assuming a is positive.\nAnswer: a**(4631\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2. Let a(y) = -8*y**2 - y + 9*y**2 + 3*y**3 - 2*y**3. Let v(h) = 5*h**3 + 4*h**2 - 5*h. Give p*v(f) + 4*a(f).\nAnswer: -f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9872 is divided by 3767.\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m = u - 10, 4*u - 13 = 3*m. Let b be 1 - (0 + (-6)\/(-3)). Let h be 2 + -3 - (b - -1). Which is greater: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2553, 8813, 18789, 32487, 49913, 71073, 95973?\n\"Answer: b**3 + 1852*b**2 + 697*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + 21. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/342 and -179\/420.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6958199 (base 10) to base 11\nAnswer: -3a22886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10258 and 16491?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/20)\/(120\/(-200))*(-2728)\/132?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18 + 8 - 6*f**3 - 17 + 3*f**2 + 11 - 4*f**6 wrt f.\nAnswer: -480*f**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30888*y - 22980.\nAnswer: 30888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 - 40*g**3 - 55*g**3 - 394*g**2. Let j(a) = 31*a**3 + 131*a**2. Let o(m) = 8*j(m) + 3*t(m). What is the third derivative of o(w) wrt w?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + (-15)\/(315\/(-174)) + (-93)\/252. Which is the closest to -0.07? (a) -4 (b) 0.01 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3485393 divided by 12?\nAnswer: -3485393\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -312?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -11\/52537 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-12)\/(-9)*-3. Suppose k + 4*r - 1 = f, -r = -1. Let l(u) = -3*u - u + k*u. Let h(j) = 4*j**2. Give h(l(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -5.55621, -1\/373?\nAnswer: -1\/373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 26*c = 112. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -188*j**2 + 32*j - 32. Suppose -16*x + 0*x - 134 = -182. Let f(r) = 17*r**2 - 3*r + 3. What is x*h(i) + 32*f(i)?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9097 and 43857?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19551\/5 + -3911. Sort m, 2, -4, 1, 3.\nAnswer: -4, m, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 16*x + 29. Let j be w(-8). Suppose -21 = 4*b - j. Solve 0 = -d + 4*g + 2, 2*g = b*d + d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**2 + l**3 + 0*l**2 - 6*l - l**3 + 7 - l**3. Determine d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*q**6 + 57*q**6 + 17*q**6 + 103*q**6 + 244*q**2 - 29*q**6 wrt q.\nAnswer: 19920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19786 - 19785.73029. Let t = 17.73 + -18. Let f = k + t. What is f rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6544, 6537, 6530?\n\"Answer: -7*y + 6551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013771 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k + 9 = 0. Suppose f + 3*p - k = 3, 5*f + 4*p - 71 = 0. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -3.5. Let k be 4*-1 - (-8)\/(-2). Let x = 10 + k. Is o > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*h + 2783 = 6626 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s. Let n be (-12 + 11)\/(1\/(-2)). Let o(j) = -4*j**2 - 2*j**2 + 3*j**n. Calculate o(x(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -583 + 595 + -30 + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/6)\/(20\/(-8)). Let g be -1*(-1 + 1\/2). Which is greater: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/(-66))\/((-10)\/((-40)\/4)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6346 + 6346.000003927. What is s rounded to seven decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37541052.\nAnswer: 2, 3, 241, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((4 - 5) + (1 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 1. Let x be a(-4). Let d be ((-42)\/(-8))\/(x\/120). Suppose -2*t + u + 77 = 2*u, u = 5*t - d. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide (-56096)\/(-30) + (-19)\/(-1710)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, -1\/5, -5, 2.4, -36?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-28)\/6 - (9 - 14)). Sort f, 0.5, -0.1, -5 in descending order.\nAnswer: f, 0.5, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -813\/31?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/(i*i*i*i**(2\/17)\/i))\/(i\/i**5*i*i**(2\/15)) assuming i is positive.\nAnswer: i**(7\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 5:34 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7221, 9863, 12505, 15147, 17789, 20431?\nAnswer: 23073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*p - 1587, 3*p = 3*w + 172 - 1126. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-21)\/(-168)*-4)\/(-3*(-39)\/(-54))?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036705765 rounded to 6 dps?\nAnswer: -0.000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 34*h**5 - 2*h**2 + 5. Let s(w) = 102*w**5 - 7*w**2 - w + 14. Let j(i) = -7*l(i) + 2*s(i). Find the second derivative of j(u) wrt u.\nAnswer: -680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x**2 - 16*x + 16*x)*(-x + x + 2*x) + 7*x - 2*x**3 - 7*x.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189352?\nAnswer: 2, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 4. Suppose 5*s - 36 = 4*s. Let q = s + x. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 2*v**2 - 1. Let m be w(-1). Suppose -2*l = -m*l. Suppose 2*n = 2*y - 22, -2*n = -4*y - l*n + 46. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.41 and 0.136.\nAnswer: -0.19176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.048 (b) -1\/21 (c) -0.3 (d) 4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207 - -42052?\nAnswer: 42261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-15))\/(2\/5). Let g(k) = 3 + 2*k + 4*k**2 - k + k**c - 1 - 3*k. Let w = 1 - 5. Determine g(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 5*u + 54. Suppose 0 = -20*g + 15*g + u. Solve -g*t + 4*d - 26 = -d, -4*t - 3*d = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15289819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.22 + 4.912. Let s = z + -0.092. What is s rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225638 is divided by 16099?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 13*s + 5*s + 5*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2867180 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12*1067\nAnswer: 12804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.57 - 51. Let x = r + 0.13. Let l(z) = 58*z - 347. Let o be l(6). Which is the fourth biggest value? (a) -7 (b) -2\/7 (c) o (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - m = 2*f - 1, 4*m = -5*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5 - 5*c + c**2 + 6*c + 2. Let r be x(0). Let k(t) be the first derivative of 2*t**3\/3 + 3*t**2\/2 - 4*t - 2. What is k(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97.14 + 100.14. What is the closest to c in 13\/8, 0, 1\/3?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -27. Let r(v) = 4*v - m*v + 7 - 1. Calculate r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 231?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -14*l. Let z(v) = 9*v**2 - 34*v + 51. Let h(n) = -3*n**2 + 12*n - 18. Let j(y) = -17*h(y) - 6*z(y). Determine q(j(t)).\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-920)\/(-69)*14\/28?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**5\/20 + 13*o**4\/12 - 13*o**3\/6 + 14*o**2 + 82*o. Let r be x(-14). Calculate the highest common divisor of r and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 957 and 1299287.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + r**2 - r - 1. Let b = 41911 - 41910. Let j(l) = -2*l**3 + 3. Give b*j(t) + v(t).\nAnswer: -t**3 + t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + 28537*o**2 + 3*o**3 - 28340*o**2 in the form u*o**2 + v*o**3 + z + b*o and give u.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 10. Let j be t(9). Let r(s) = 5*s**3 - s. Let u be r(j). Which is the smallest value? (a) -0.3 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:33 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 t when four letters picked without replacement from tgiwigmgtttwppp.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from uffwfuffuwuffwff?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.73 + -0.78. What is the second biggest value in -4, 3, x, 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7008*m**2 - 7011*m - 3. Give i(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d + 369*d**3 - d**2 + 2 + 2 - 153*d**3 - 176*d**3 wrt d?\nAnswer: 240*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16136)\/(-108)*-3 - (-2)\/9. Let t = 677 + k. What are the prime factors of t?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -716139 - -1832139. Round v to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1416 + 3064. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*n + 4 = 0, -4*n - 28 = -0*j + 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**19)**(-37) assuming k is positive.\nAnswer: k**1406","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*s + 54, 51*w - 2*s = 53*w - 34 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*32\/(-12)*(-60)\/(-8). Let f be g\/(-33)*(-3 - 84\/(-20)). Solve 0 = -u - u + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**2 - 59*h + 175. Is 61 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*a - 160 - 47*a + 41*a**2 + 162 to the form d*a + n + k*a**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, and 1 l when three letters picked without replacement from {z: 5, l: 1, k: 1, a: 2, b: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 57 + f + 7*f + 10*f - 30*f.\nAnswer: -3*f + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1362.09 kilograms?\nAnswer: 1.36209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}